Aest. 3 Pisos-3gdl
77
EXAMEN DE INGENIERIA ANTISISMICA - U INGRESAR DATOS H- ENTREPISO 3.00 m NRO DE PISOS 3 L O N G I T U D L1= 5.00 m L2= 5.00 m L3= 4.00 m L4= 4.00 m C O L b= 0.30 m d= 0.30 m P L A C b= 0.15 m d= 2.00 m V I G A b= 0.30 m d= 0.50 m Esps!" L!s#= 0.25 m Esps!" $%"!= 0.15 m f'c= 210 &'()m2 f'm= 35 &'()m2 ϒc= 2400 &'(m3 ϒman= 1*00 &'(m3 Peso losa= 350 +'(m2 SOBRE CARCA= 200 +'(m2 = 0.40 ,0.15 0.3 0.4 U= 1.30 ,//d#=1 S= 1.20 ,1 1.2 1.4 T!= 0.0 ,0.4 0. 0.
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Transcript of Aest. 3 Pisos-3gdl
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 177
EXAMEN DE INGENIERIA ANTISISMICA - U
INGRESAR DATOS
H- ENTREPISO 300 m
NRO DE PISOS 3
L O N G I T U
D L1= 500 m
L2= 500 m
L3= 400 m
L4= 400 m
C O L b= 030 m
d= 030 m
P L A C b= 015 m
d= 200 m
V I G A b= 030 m
d= 050 m
Esps Ls= 025 mEsps $= 015 m
fc= 210 amp()m2
fm= 35 amp()m2
ϒc= 2400 amp(m3
ϒman= 100 amp(m3
Peso losa= 350 +(m2
SOBRE CARCA= 200 +(m2
= 040 015 03 04U= 130 d=1
S= 1 20 1 1 2 1 4
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 277
RREe $= P) R=
REe amp= 3 $mps6 R=3
CTMam Plac 0 CT=0 $mps6 7 p)
Po()cos 35 U)m6 P6)s CT= 35
Re+ccon +e C = 50 8 A=9=50 C=25
SOUCION
E = 2130516(m2
Em = 15000006(m2
METRADO DE CARGAS
A CARGA MUERTA
CARGA MUERTAEm PISO C6 LONG m 9ASE m
C O 1 250 0302 250 030
3 125 030
P A C A 1 2 250 015
2 2 250 015
3 2 125 015
1 2 250 40
2 2 250 40
3 2 125 40
- I G
A 1 1 5220 030
2 1 5220 0303 1 5220 030
1 1 40 40
2 1 40 40
3 1 40 40
PESO POR PISOPISO 1 051 6
PISO 2 051 6
PISO 3 512 6
B CARGA IA
PESO o( C 0aPISO 1 131 6
PISO 2 131 6
PISO 3 131 6
C PESO TOTA POR PISO
PESO TOTA CM12C P = C$ CV05 lt 025
PISO 1 4 6
A B A 3
E E R I A
O S A
A I G
=15000 ((_ (1038389〗gt2
=500_ (( 〖
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 377
PISO 3 5 6
= 131 +
MATRI DE MASAS Ts456m
0 0 0 0
0 0 0 0
0 0 5 0 0
0 0 0 0
$= 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
5 MATRI DE RIGIDE ATERA 7=7AA-7AB87BB4-87BA
E9E X PORTICO PACA1020032 -513 13243
+L1 3= -513 2024 -25
13243 -25 14045
E9E X PORTICO 5 PORTICO3 -142 21
+L2= -142 34231 -102
21 -102 14554
E9E lt PORTICO B PORTICO CON PACA33141 -13334 15213
+L9= -13334 313 -151
15213 -151 14312
E9E A C MAMPOSTERIA201352 -104010 11
+LAC= -104010 2041121 -10111
11 -10111 10014
MATRI DE COMPATIBIIDAD A
1 0 0 0A1= 0 1 0 0
0 0 1 0
gt =)s( B sB
$=gt ( amp amp
=_ (12_=_gt2 gt2 (_ +_
_=_minus_gt4 _ _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 477
1 0 0 0
A2 0 1 0 0
0 0 1 0
1 0 0 0
A3= 0 1 0 0
0 0 1 0
0 0 0 1
AA= 0 0 0 0
0 0 0 0
0 0 0 1
A9= 0 0 0 0
0 0 0 0
0 0 0 1
AC= 0 0 0 0
0 0 0 0
MATRI DE RIGIDE EN COORDENADAS DE PISO 7E=A4)878A
7$$ 7$amp7E= 7ampamp
202 -112545 24 000 000-112545 14423 -145 000 000
24 -145 330524 000 000
000 000 000 4454122 -225354
+E= 000 000 000 -225354 43
000 000 000 5315 -21242
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
AORES ECTORES PROPIOS
E))ltF
ECTORES PROPIOS O ORMAS MODAES NORMAIADOS
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
00 0 0 0 02
02432 0 0 0 025
034 0 0 0 -02300 01500 0 03451 0
0 0 2 0 0 114 0
7$
7amp
7
( =0
=24 =1_ ( ^gt gt gt ( _ ( (
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 577
0 0 0030 0 0
0 0 0011 0 0
0 0 01014 0 0
Mo+o C
1 1050 32 0123 0
2 131020 320 013 4
3 30 01 01033 1452
4 104140 10233 0014 2443
5 132 121 004 304
224552 14 0041 35
302 1242 0032 454
1003 234 0023 2
1123 3415 0014 154
CARGAS MFXIMAS MODAES
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
140 000 000 000 0
3 000 000 000 04
54 000 000 000 -1
000 000 000 000 000000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
COMBINACION MODA
Co()an)es mo+al
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
3 54 000 000 000 -1
2 35 000 000 000 233
1 105 000 000 000 113
Rs66s E J $ ))d
ps C66 V Ks E J
3 103 103 041
2 125 221 001 10 52 02
alo(esP(oos
(ecencaNa)(al J
Pe(o+oK(acLn
Se
= (_$=2 amp =25 ( ($_amp$ S
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 677
C66 bs d dM)
V= 10 6
C66 9s $m E J
Vm= 6
C66 9s $m E 7
Vm= 6
DESPAAMIENTOS UERAS POR TORSION
V)6 d Cs p 6slt ))d6F
000
000
000
000
= 000
000
041
00
02
Dspm6s 7 s d ps p 6s
42E-23
13E-22
232E-22
-23E-3
= -33E-3
-142E-3
533E-0
10E-0
152E-0
Dspm6s L6s p )d p6)
P6) 1 P6) 2 P6) 3
-00000021 000000000 000000213
-00000043 000000000 000000431
-0000001 000000000 0000000 O ) s
Ks L6s )d p6)
gt1=_
-
_=)amp
= _ _ 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 777
P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
-00043 000000000 00042
-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
0000000
= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
00035
001044
= 0000000E J 0000000
0000000
0000000
0000000
0000000
CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
=05 13
= 1_ (1 (3 minus1_
3 amp4_3356
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 877
000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 977
NSCH
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1077
PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1177
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1277
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1377
0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1577
52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2077
s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2177
0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2877
000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2977
000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
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httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 277
RREe $= P) R=
REe amp= 3 $mps6 R=3
CTMam Plac 0 CT=0 $mps6 7 p)
Po()cos 35 U)m6 P6)s CT= 35
Re+ccon +e C = 50 8 A=9=50 C=25
SOUCION
E = 2130516(m2
Em = 15000006(m2
METRADO DE CARGAS
A CARGA MUERTA
CARGA MUERTAEm PISO C6 LONG m 9ASE m
C O 1 250 0302 250 030
3 125 030
P A C A 1 2 250 015
2 2 250 015
3 2 125 015
1 2 250 40
2 2 250 40
3 2 125 40
- I G
A 1 1 5220 030
2 1 5220 0303 1 5220 030
1 1 40 40
2 1 40 40
3 1 40 40
PESO POR PISOPISO 1 051 6
PISO 2 051 6
PISO 3 512 6
B CARGA IA
PESO o( C 0aPISO 1 131 6
PISO 2 131 6
PISO 3 131 6
C PESO TOTA POR PISO
PESO TOTA CM12C P = C$ CV05 lt 025
PISO 1 4 6
A B A 3
E E R I A
O S A
A I G
=15000 ((_ (1038389〗gt2
=500_ (( 〖
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PISO 3 5 6
= 131 +
MATRI DE MASAS Ts456m
0 0 0 0
0 0 0 0
0 0 5 0 0
0 0 0 0
$= 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
5 MATRI DE RIGIDE ATERA 7=7AA-7AB87BB4-87BA
E9E X PORTICO PACA1020032 -513 13243
+L1 3= -513 2024 -25
13243 -25 14045
E9E X PORTICO 5 PORTICO3 -142 21
+L2= -142 34231 -102
21 -102 14554
E9E lt PORTICO B PORTICO CON PACA33141 -13334 15213
+L9= -13334 313 -151
15213 -151 14312
E9E A C MAMPOSTERIA201352 -104010 11
+LAC= -104010 2041121 -10111
11 -10111 10014
MATRI DE COMPATIBIIDAD A
1 0 0 0A1= 0 1 0 0
0 0 1 0
gt =)s( B sB
$=gt ( amp amp
=_ (12_=_gt2 gt2 (_ +_
_=_minus_gt4 _ _
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httpslidepdfcomreaderfullaest-3-pisos-3gdl 477
1 0 0 0
A2 0 1 0 0
0 0 1 0
1 0 0 0
A3= 0 1 0 0
0 0 1 0
0 0 0 1
AA= 0 0 0 0
0 0 0 0
0 0 0 1
A9= 0 0 0 0
0 0 0 0
0 0 0 1
AC= 0 0 0 0
0 0 0 0
MATRI DE RIGIDE EN COORDENADAS DE PISO 7E=A4)878A
7$$ 7$amp7E= 7ampamp
202 -112545 24 000 000-112545 14423 -145 000 000
24 -145 330524 000 000
000 000 000 4454122 -225354
+E= 000 000 000 -225354 43
000 000 000 5315 -21242
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
AORES ECTORES PROPIOS
E))ltF
ECTORES PROPIOS O ORMAS MODAES NORMAIADOS
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
00 0 0 0 02
02432 0 0 0 025
034 0 0 0 -02300 01500 0 03451 0
0 0 2 0 0 114 0
7$
7amp
7
( =0
=24 =1_ ( ^gt gt gt ( _ ( (
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0 0 0030 0 0
0 0 0011 0 0
0 0 01014 0 0
Mo+o C
1 1050 32 0123 0
2 131020 320 013 4
3 30 01 01033 1452
4 104140 10233 0014 2443
5 132 121 004 304
224552 14 0041 35
302 1242 0032 454
1003 234 0023 2
1123 3415 0014 154
CARGAS MFXIMAS MODAES
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
140 000 000 000 0
3 000 000 000 04
54 000 000 000 -1
000 000 000 000 000000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
COMBINACION MODA
Co()an)es mo+al
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
3 54 000 000 000 -1
2 35 000 000 000 233
1 105 000 000 000 113
Rs66s E J $ ))d
ps C66 V Ks E J
3 103 103 041
2 125 221 001 10 52 02
alo(esP(oos
(ecencaNa)(al J
Pe(o+oK(acLn
Se
= (_$=2 amp =25 ( ($_amp$ S
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C66 bs d dM)
V= 10 6
C66 9s $m E J
Vm= 6
C66 9s $m E 7
Vm= 6
DESPAAMIENTOS UERAS POR TORSION
V)6 d Cs p 6slt ))d6F
000
000
000
000
= 000
000
041
00
02
Dspm6s 7 s d ps p 6s
42E-23
13E-22
232E-22
-23E-3
= -33E-3
-142E-3
533E-0
10E-0
152E-0
Dspm6s L6s p )d p6)
P6) 1 P6) 2 P6) 3
-00000021 000000000 000000213
-00000043 000000000 000000431
-0000001 000000000 0000000 O ) s
Ks L6s )d p6)
gt1=_
-
_=)amp
= _ _ 1
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P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
-00043 000000000 00042
-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
0000000
= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
00035
001044
= 0000000E J 0000000
0000000
0000000
0000000
0000000
CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
=05 13
= 1_ (1 (3 minus1_
3 amp4_3356
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000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
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NSCH
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
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52
221
103
KT= 000
000
000
000
000
000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 377
PISO 3 5 6
= 131 +
MATRI DE MASAS Ts456m
0 0 0 0
0 0 0 0
0 0 5 0 0
0 0 0 0
$= 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
5 MATRI DE RIGIDE ATERA 7=7AA-7AB87BB4-87BA
E9E X PORTICO PACA1020032 -513 13243
+L1 3= -513 2024 -25
13243 -25 14045
E9E X PORTICO 5 PORTICO3 -142 21
+L2= -142 34231 -102
21 -102 14554
E9E lt PORTICO B PORTICO CON PACA33141 -13334 15213
+L9= -13334 313 -151
15213 -151 14312
E9E A C MAMPOSTERIA201352 -104010 11
+LAC= -104010 2041121 -10111
11 -10111 10014
MATRI DE COMPATIBIIDAD A
1 0 0 0A1= 0 1 0 0
0 0 1 0
gt =)s( B sB
$=gt ( amp amp
=_ (12_=_gt2 gt2 (_ +_
_=_minus_gt4 _ _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 477
1 0 0 0
A2 0 1 0 0
0 0 1 0
1 0 0 0
A3= 0 1 0 0
0 0 1 0
0 0 0 1
AA= 0 0 0 0
0 0 0 0
0 0 0 1
A9= 0 0 0 0
0 0 0 0
0 0 0 1
AC= 0 0 0 0
0 0 0 0
MATRI DE RIGIDE EN COORDENADAS DE PISO 7E=A4)878A
7$$ 7$amp7E= 7ampamp
202 -112545 24 000 000-112545 14423 -145 000 000
24 -145 330524 000 000
000 000 000 4454122 -225354
+E= 000 000 000 -225354 43
000 000 000 5315 -21242
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
AORES ECTORES PROPIOS
E))ltF
ECTORES PROPIOS O ORMAS MODAES NORMAIADOS
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
00 0 0 0 02
02432 0 0 0 025
034 0 0 0 -02300 01500 0 03451 0
0 0 2 0 0 114 0
7$
7amp
7
( =0
=24 =1_ ( ^gt gt gt ( _ ( (
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 577
0 0 0030 0 0
0 0 0011 0 0
0 0 01014 0 0
Mo+o C
1 1050 32 0123 0
2 131020 320 013 4
3 30 01 01033 1452
4 104140 10233 0014 2443
5 132 121 004 304
224552 14 0041 35
302 1242 0032 454
1003 234 0023 2
1123 3415 0014 154
CARGAS MFXIMAS MODAES
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
140 000 000 000 0
3 000 000 000 04
54 000 000 000 -1
000 000 000 000 000000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
COMBINACION MODA
Co()an)es mo+al
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
3 54 000 000 000 -1
2 35 000 000 000 233
1 105 000 000 000 113
Rs66s E J $ ))d
ps C66 V Ks E J
3 103 103 041
2 125 221 001 10 52 02
alo(esP(oos
(ecencaNa)(al J
Pe(o+oK(acLn
Se
= (_$=2 amp =25 ( ($_amp$ S
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 677
C66 bs d dM)
V= 10 6
C66 9s $m E J
Vm= 6
C66 9s $m E 7
Vm= 6
DESPAAMIENTOS UERAS POR TORSION
V)6 d Cs p 6slt ))d6F
000
000
000
000
= 000
000
041
00
02
Dspm6s 7 s d ps p 6s
42E-23
13E-22
232E-22
-23E-3
= -33E-3
-142E-3
533E-0
10E-0
152E-0
Dspm6s L6s p )d p6)
P6) 1 P6) 2 P6) 3
-00000021 000000000 000000213
-00000043 000000000 000000431
-0000001 000000000 0000000 O ) s
Ks L6s )d p6)
gt1=_
-
_=)amp
= _ _ 1
7172019 Aest 3 Pisos-3gdl
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P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
-00043 000000000 00042
-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
0000000
= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
00035
001044
= 0000000E J 0000000
0000000
0000000
0000000
0000000
CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
=05 13
= 1_ (1 (3 minus1_
3 amp4_3356
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000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
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NSCH
7172019 Aest 3 Pisos-3gdl
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
7172019 Aest 3 Pisos-3gdl
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
7172019 Aest 3 Pisos-3gdl
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
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7172019 Aest 3 Pisos-3gdl
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52
221
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KT= 000
000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
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13 5211154 132
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COLU$NA
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15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
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ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
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ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
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7172019 Aest 3 Pisos-3gdl
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1 0 0 0
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0 0 1 0
1 0 0 0
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0 0 1 0
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AA= 0 0 0 0
0 0 0 0
0 0 0 1
A9= 0 0 0 0
0 0 0 0
0 0 0 1
AC= 0 0 0 0
0 0 0 0
MATRI DE RIGIDE EN COORDENADAS DE PISO 7E=A4)878A
7$$ 7$amp7E= 7ampamp
202 -112545 24 000 000-112545 14423 -145 000 000
24 -145 330524 000 000
000 000 000 4454122 -225354
+E= 000 000 000 -225354 43
000 000 000 5315 -21242
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
AORES ECTORES PROPIOS
E))ltF
ECTORES PROPIOS O ORMAS MODAES NORMAIADOS
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
00 0 0 0 02
02432 0 0 0 025
034 0 0 0 -02300 01500 0 03451 0
0 0 2 0 0 114 0
7$
7amp
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0 0 0030 0 0
0 0 0011 0 0
0 0 01014 0 0
Mo+o C
1 1050 32 0123 0
2 131020 320 013 4
3 30 01 01033 1452
4 104140 10233 0014 2443
5 132 121 004 304
224552 14 0041 35
302 1242 0032 454
1003 234 0023 2
1123 3415 0014 154
CARGAS MFXIMAS MODAES
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140 000 000 000 0
3 000 000 000 04
54 000 000 000 -1
000 000 000 000 000000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
COMBINACION MODA
Co()an)es mo+al
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
3 54 000 000 000 -1
2 35 000 000 000 233
1 105 000 000 000 113
Rs66s E J $ ))d
ps C66 V Ks E J
3 103 103 041
2 125 221 001 10 52 02
alo(esP(oos
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C66 bs d dM)
V= 10 6
C66 9s $m E J
Vm= 6
C66 9s $m E 7
Vm= 6
DESPAAMIENTOS UERAS POR TORSION
V)6 d Cs p 6slt ))d6F
000
000
000
000
= 000
000
041
00
02
Dspm6s 7 s d ps p 6s
42E-23
13E-22
232E-22
-23E-3
= -33E-3
-142E-3
533E-0
10E-0
152E-0
Dspm6s L6s p )d p6)
P6) 1 P6) 2 P6) 3
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-00000043 000000000 000000431
-0000001 000000000 0000000 O ) s
Ks L6s )d p6)
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P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
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-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
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= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
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= 0000000E J 0000000
0000000
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CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
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000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
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〗gt2
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
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_ 〖1103925 gt2_+_ _ 〗
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
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0 0 0 0 4
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1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
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000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
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000 000 000 000 $m ps 1
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000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
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52
221
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KT= 000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
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1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
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C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
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13243 -2504 1404524
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ELE$ENTO 3 COLU$NA
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10015 -12021 -10015 -12021 0
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10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
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〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
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5114 -5514 -51145 -55141
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-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
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10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
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ELE$ENTO 10 VIGA IW
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132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
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1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
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0 1202 1435 0 0 1353 0 0 14352
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11 12
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-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
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PORTICO SIN $URO
COL VIGA
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D= 030 050 m
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H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
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0 0 1 4 313
52112 -13 -52112 -1 0 -15
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0
ELE$ENTO 2 COLU$NA -
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52112 -13 -5211153 -10
-1 153351 1303 10
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-1 1304 1303 153
ELE$ENTO 4 COLU$NA
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52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
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52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
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-1 1304 1303 15310
ELE$ENTO COLU$NA
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52112 -13 -5211153 -12
-1 153351 1303 1
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-1 1304 1303 15311
ELE$ENTO COLU$NA
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52112 -13 -5211153 -12
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-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
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54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
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54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
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13 0 34 21133 0 2 0 0 0 0
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
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D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
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331411 -1333335 152134131
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1521341 -15145 14312312
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54342 -151342 -54342 -15134 0 -13
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ELE$ENTO 2 COLU$NA -15
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ELE$ENTO 3 COLU$NA PORT
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54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
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-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
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54342 -151342 -543422 -15134 1
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-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
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-1 15335 1304 13 5
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ELE$ENTO COLU$NA PORT
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ELE$ENTO COLU$NA PORT
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54342 -151342 -543422 -15134 2
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ELE$ENTO COLU$NA
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52112 -13 -5211153 -13 2
-1 15335 1304 13
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ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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0 0 0030 0 0
0 0 0011 0 0
0 0 01014 0 0
Mo+o C
1 1050 32 0123 0
2 131020 320 013 4
3 30 01 01033 1452
4 104140 10233 0014 2443
5 132 121 004 304
224552 14 0041 35
302 1242 0032 454
1003 234 0023 2
1123 3415 0014 154
CARGAS MFXIMAS MODAES
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
140 000 000 000 0
3 000 000 000 04
54 000 000 000 -1
000 000 000 000 000000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
000 000 000 000 000
COMBINACION MODA
Co()an)es mo+al
$ODO 1 $ODO 2 $ODO 3 $ODO 4 $ODO 5
3 54 000 000 000 -1
2 35 000 000 000 233
1 105 000 000 000 113
Rs66s E J $ ))d
ps C66 V Ks E J
3 103 103 041
2 125 221 001 10 52 02
alo(esP(oos
(ecencaNa)(al J
Pe(o+oK(acLn
Se
= (_$=2 amp =25 ( ($_amp$ S
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C66 bs d dM)
V= 10 6
C66 9s $m E J
Vm= 6
C66 9s $m E 7
Vm= 6
DESPAAMIENTOS UERAS POR TORSION
V)6 d Cs p 6slt ))d6F
000
000
000
000
= 000
000
041
00
02
Dspm6s 7 s d ps p 6s
42E-23
13E-22
232E-22
-23E-3
= -33E-3
-142E-3
533E-0
10E-0
152E-0
Dspm6s L6s p )d p6)
P6) 1 P6) 2 P6) 3
-00000021 000000000 000000213
-00000043 000000000 000000431
-0000001 000000000 0000000 O ) s
Ks L6s )d p6)
gt1=_
-
_=)amp
= _ _ 1
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P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
-00043 000000000 00042
-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
0000000
= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
00035
001044
= 0000000E J 0000000
0000000
0000000
0000000
0000000
CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
=05 13
= 1_ (1 (3 minus1_
3 amp4_3356
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000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
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NSCH
7172019 Aest 3 Pisos-3gdl
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
7172019 Aest 3 Pisos-3gdl
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
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7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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C66 bs d dM)
V= 10 6
C66 9s $m E J
Vm= 6
C66 9s $m E 7
Vm= 6
DESPAAMIENTOS UERAS POR TORSION
V)6 d Cs p 6slt ))d6F
000
000
000
000
= 000
000
041
00
02
Dspm6s 7 s d ps p 6s
42E-23
13E-22
232E-22
-23E-3
= -33E-3
-142E-3
533E-0
10E-0
152E-0
Dspm6s L6s p )d p6)
P6) 1 P6) 2 P6) 3
-00000021 000000000 000000213
-00000043 000000000 000000431
-0000001 000000000 0000000 O ) s
Ks L6s )d p6)
gt1=_
-
_=)amp
= _ _ 1
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P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
-00043 000000000 00042
-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
0000000
= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
00035
001044
= 0000000E J 0000000
0000000
0000000
0000000
0000000
CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
=05 13
= 1_ (1 (3 minus1_
3 amp4_3356
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000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
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NSCH
7172019 Aest 3 Pisos-3gdl
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
7172019 Aest 3 Pisos-3gdl
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
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7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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P6) 1 P6) 2 P6) 3
-005130 000000000 0051300
-00043 000000000 00042
-0005503 000000000 00055034
gt UERAS INAES EN E CENTRO DE MASA
K md K Tslt T6 KT
52 000 52
221 000 221
103 000 103
DESPAAMIENTOS INAES
Dspm6s Es6)s Ks
0000451
0001211
0001
0000000
= 0000000
0000000
00000000000000
0000000
Dspm6s Is6)s Ks
00023
00035
001044
= 0000000E J 0000000
0000000
0000000
0000000
0000000
CONTRO DE DERIA DE PISO
0 0005
= gt1 _ 2_$
=05 13
= 1_ (1 (3 minus1_
3 amp4_3356
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httpslidepdfcomreaderfullaest-3-pisos-3gdl 877
000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
7172019 Aest 3 Pisos-3gdl
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NSCH
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1077
PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1177
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1277
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1377
0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1577
52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1677
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000212
CONTRO EECTO P - Q
Ps
3 5 000213 103 0004
2 1224 00055 125 000
1 131 0000 10 000114
PsA)md D dps C66Ps E J Id) dEs6b E J
7 = (_ _ 8_ _
7172019 Aest 3 Pisos-3gdl
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NSCH
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1077
PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1177
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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NSCH
7172019 Aest 3 Pisos-3gdl
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PERALTE m PESO amp
030 3000030 3000
030 1000
200 30000
200 30000
200 10000
015 000
015 000
015 4500
050 1200
050 1200050 1200
243400
243400
243400
〖
〗gt2
7172019 Aest 3 Pisos-3gdl
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0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
5 0 0 0
0 4 0 0
0 0 4 0
0 0 0 2
0 0 -4 0 00 0 0 -4 0
0 0 0 0 4
_ 〖1103925 gt2_+_ _ 〗
7172019 Aest 3 Pisos-3gdl
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 4 0 0
0 0 0 4 0
0 0 0 0 4
0 0 -5 0 0
1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
-21242 000 000 000
21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
7172019 Aest 3 Pisos-3gdl
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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X= 0
1000
0
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0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
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ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
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ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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1 5211 1 1
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1533 1 1 0
1 52112 1 1
1 1 1533 5
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0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
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COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
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002554
05523
IWUIERDA
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0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
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1 0 2 0 1
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
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31410 -4222 -314100233520321 -31410 -2335203210
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31410 -4222 -31410 1
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31410 -4222 -31410 2
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1 0 0 -5 0
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0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
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000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
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21411 000 000 000
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000 45100 -1420 10504
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
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31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
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000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
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s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
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52
221
103
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000
000
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000 000 000 000 000
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
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〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
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10015 -12021 -10015 -12021 2
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-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
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132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
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13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
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15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
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31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
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0 3 0
31410 -4222 -31410 2
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0 0 0 0 0
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0 0 0 0 4
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1 0 0 -5 0
0 1 0 0 -5
0 0 0 0 0
1 0 0 0 0
0 1 0 0 0
0 0 5 0 0
1 0 0 5 0
0 1 0 0 5
7$$lt 7ampamp F $6)s Rd 6 p 6s)lt
F $6 d d 6s
7$lt 7amp F $6)s d Rd d )pm6 6) 6slt
7$amp F $6 6s) d )pm6 p6)s 6
000 000 000 000000 000 000 000
000 000 000 000
5315 000 000 000
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21411 000 000 000
000 4240114 -2350 45100
000 -2350 332550314 -1420
000 45100 -1420 10504
$ODO $ODO $ODO $ODO
0 0 -0355 0
0 0 0224 0
0 0 -0100 0-0240 0 0 0 bJF
0 344 0 0 0
7
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
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1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
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0 000 000 000 000
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000 000 000 000 000
02 035 000 000 000
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000 000 00 00 -00
000 000 000 000 000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
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-10015 12021 10015445 12021 1 0
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ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
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ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
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ELE$ENTO COLU$NA
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10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
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-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
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ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
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-1 153351 1303 15
-52112 1304 52111535 12
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ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
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3121 -15 1 1 2 0 0 0 -1 -2
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13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
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0 2 1 0 0 34 0 0 1 0
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
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-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
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ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
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-1 15335 1304 13 5
-52112 13 5211153 13 2
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ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
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54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
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-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
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15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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0 0030 0 -0020
0 005 0 0032
0 -0013 0 -00304
00 333
0 000
12 000
21 000
25 11
31 000
410 000
51 -0
2 000
$ODO $ODO $ODO $ODO
000 000 45 000 K J ps 1
000 000 -5 000 K J ps 2
000 000 233 000 K J ps 3
000 000 000 000 K 7 ps 1000 000 000 000 K 7 ps 2
000 000 000 000 K 7 ps 3
000 000 000 000 $m ps 1
000 000 000 000 $m ps 2
000 000 000 000 $m ps 3
s
$ODO $ODO $ODO $ODO
000 000 233 000
000 000 -542 000
000 000 403 000
Acel Esec)Ee $m6s5
ac)o( +ePa() Mo+al
(0=) 8 =_9 ^ 〖 〗 ( _9 ^
$ 005=2
V=0251 ^ 05lt_ 1 gt2 ^_
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1477
7172019 Aest 3 Pisos-3gdl
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52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1977
7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2577
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1577
52
221
103
KT= 000
000
000
000
000
000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2077
s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2177
0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2877
000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2077
s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2177
0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2877
000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2977
000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 1977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2077
s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
7172019 Aest 3 Pisos-3gdl
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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s s 0
Tsps6s d s )6s pps
1 1 00 024 03 000
1 2 000 000 000 015
1 3 000 000 000 0000 4 000 000 000 035
0 5 0 30 0 2 0 24 0 00
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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0 000 000 000 000
0 -03 02 -010 000
0 000 000 000 000
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
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ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2977
000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2877
000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2977
000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2877
000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
7172019 Aest 3 Pisos-3gdl
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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000 000 000 000 000
02 035 000 000 000
000 000 003 00 01001 -02 000 000 000
0 00 0 00 0 00 0 00 0 00
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000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
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132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
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V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 2977
000 000 00 00 -00
000 000 000 000 000
000 000 -00 00 -003
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3377
PORTICO SIN $URO
COL VIGA PLACA COL VIGA
9= 030 030 015 M= 0010 00125
D= 030 050 200 += 224 025
A= 00 015 03 = 1100 3232b6= 12 12 12 b= 13502 2124
G= 4204 4204 4204 6= 1002 1351
E= 213051 213051 213051
I= 00005 0003125 01 VIGA
C1 025 d d
C2 025 )1 )2 )1
L 250 35 015 1 1
L2 35
102003 -5134 13243054
-513 202455 -2504
13243 -2504 1404524
ELE$ENTO 1 COLU$NA 1
0 0 1 4 114
10015 -12021 -10015 -12021 0 -5332
-1202 3013100 12021 1435142 0 0
-10015 12021 10015445 12021 1 0
-1202 1435142 12021 3013100 4 00
ELE$ENTO 2 PLACA -1203
0 0 1 5 -55
5114 -5514 -51145 -55140 -1203
-551 215540431 55142 4152215 0 0
-5114 55142 511454 55142 1 0
-551 4152215 55142 215540431 5 0
ELE$ENTO 3 COLU$NA
0 0 1
10015 -12021 -10015 -12021 0
-1202 3013100 12021 14351420
-10015 12021 10015445 120211
-1202 1435142 12021 3013100
ELE$ENTO 4 COLU$NA
1 4 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 14351424
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
〖minus〗 _ 〖 4 _minus minus 〗 _
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3477
ELE$ENTO 5 PLACA
1 5 2
5114 -5514 -51145 -55141
-551 215540431 55142 41522155
-5114 55142 511454 551422
-551 4152215 55142 215540431
ELE$ENTO COLU$NA
1 2
10015 -12021 -10015 -12021 1
-1202 3013100 12021 1435142
-10015 12021 10015445 120212
-1202 1435142 12021 3013100
ELE$ENTO COLU$NA
2 3 1010015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310010
ELE$ENTO PLACA
2 3 11
5114 -5514 -51145 -55142
-551 215540431 55142 4152215
-5114 55142 511454 551423
-551 4152215 55142 21554043111
ELE$ENTO COLU$NA
2 3 12
10015 -12021 -10015 -12021 2
-1202 3013100 12021 1435142
-10015 12021 10015445 120213
-1202 1435142 12021 301310012
ELE$ENTO 10 VIGA IW
4 5
132 4511 4
45 1335213 5
ELE$ENTO 11 VIGA DCHA
5
1335 4511 5
45 13212
ELE$ENTO 12 VIGA IW
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3577
132 4511
45 1335213
ELE$ENTO 13 VIGA DCHA
1335 4511
45 13212
ELE$ENTO 14 VIGA IW
10 11
132 4511 10
45 1335213 11
ELE$ENTO 15 VIGA DCHA
11 12
1335 4511 11
45 13212 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3677
V d) PLACA
00125 04
0253 12
3231 23214421242 14432
1350 5114
)
)2
015
2 3 4 5 10
-53313 0 0 0 0 -120 -552 -120 0
113 -5331 1203 551 120 0 0 0 -120
-53313 53313 0 0 0 120 551 120 1202
1202 0 1353 45 0 144 0 0 0
551 0 4 451 4 0 4152 0 01202 0 0 45 1353 0 0 0 0
0 1202 1435 0 0 1353 0 0 14352
0 551 0 4152 0 0 451 4 0
0 1202 0 0 0 0 45 1353 0
-1202 1202 0 0 0 144 0 0 103
-551 551 0 0 0 0 4152 0 45
-1202 1202 0 0 0 0 0 144 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 3977
11 12
0 0 1
-55 -120 2
55 120 3
0 0 4
0 0 50 0
0 0
41 0
0 144
45 0 10
2423 4 11
45 103 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4177
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4277
PORTICO SIN $URO
COL VIGA
9= 030 030 m
D= 030 050 m
E= 213051 213051 amp(m2I= 00005 0003125 m4
H 300 500 m
H2 500
3 -14245 21202
-1425 34231440 -102353
21 -10235 14553012
ELE$ENTO 1 COLU$NA 1
0 0 1 4 313
52112 -13 -52112 -1 0 -15
-1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 4 0
0
ELE$ENTO 2 COLU$NA -
0 0 1 5 -
52112 -13 -5211153 -1 0 --1 153351 1303 1 0 0
-52112 1304 52111535 1 1 0
-1 1304 1303 153 5 0
ELE$ENTO 3 COLU$NA
0 0 1
52112 -13 -5211153 -10
-1 153351 1303 10
-52112 1304 52111535 11
-1 1304 1303 153
ELE$ENTO 4 COLU$NA
1 4 2
52112 -13 -5211153 -11
-1 153351 1303 14
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -11
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4377
-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
1 2
52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
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0 0 0
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0 0 00 0 0
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
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-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
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0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
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COLU$NA
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15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
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334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
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ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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-1 153351 1303 15
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
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52112 -13 -5211153 -11-1 153351 1303 1
-52112 1304 52111535 12
-1 1304 1303 153
ELE$ENTO COLU$NA
2 3 10
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15310
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15311
ELE$ENTO COLU$NA
2 3 12
52112 -13 -5211153 -12
-1 153351 1303 1
-52112 1304 52111535 13
-1 1304 1303 15312
ELE$ENTO 10 VIGA
4 5
54342 2113314 4
21133 543422 5
ELE$ENTO 11 VIGA
5
54342 2113314 5
21133 543422
ELE$ENTO 12 VIGA
54342 2113314
21133 543422
ELE$ENTO 13 VIGA
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54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
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2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
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PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
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-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
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233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
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2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
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0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
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5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
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2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
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COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
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-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
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IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
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31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4477
54342 2113314
21133 543422
ELE$ENTO 14 VIGA
10 11
54342 2113314 1021133 543422 11
ELE$ENTO 15 VIGA
11 12
54342 2113314 11
21133 543422 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4577
2 3 4 5 10 11
-15335 0 0 0 0 - -1 - 0 0
3121 -15 1 1 2 0 0 0 -1 -2
-15335 15 0 0 0 2 1 2 1 1
13 0 34 21133 0 2 0 0 0 0
13 0 211 1412 21 0 1 0 0 0
13 0 0 21133 34 0 0 0 0 0
0 2 1 0 0 34 0 0 1 0
0 2 0 1 0 0 1412 21 0 1
0 2 0 0 0 0 21133 34 0 0-13 2 0 0 0 2 0 0 30 21
-13 2 0 0 0 0 1 0 2113 1225
-13 2 0 0 0 0 0 2 0 21
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
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CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4877
12
0 1
- 2
2 3
0 4
0 5
0
0
0
2 0 10
21 11
31 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 4977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5077
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5177
PORTICO SIN $URO
COL VIGA PLACA
9= 030 030 200
D= 030 050 015
E= 213051 213051I= 00005 0003125 0000525
L= 300 400
L1= 400
331411 -1333335 152134131
-13333 313124 -15145
1521341 -15145 14312312
ELE$ENTO 1 COLU$NA PORT 1
0 0 1 4 34
54342 -151342 -54342 -15134 0 -13
-1513 1302 151342 151342 0 0
-54342 151342 543422 151342 1 0
-1513 151342 151342 1302 4 0
0
ELE$ENTO 2 COLU$NA -15
0 0 1 5 -
52112 -13 -52112 -13 0 -15-1 15335 1304 13 0 0
-52112 13 5211153 13 1 0
-1 13 1304 15335 5 0
ELE$ENTO 3 COLU$NA PORT
0 0 1
54342 -151342 -543422 -15134 0
-1513 1302 151342 151342 0
-54342 151342 543422 151342 1
-1513 151342 151342 1302
ELE$ENTO 4 COLU$NA PORT
1 4 2
54342 -151342 -543422 -15134 1
-1513 1302 151342 151342 4
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO 5 COLU$NA
1 5 2
52112 -13 -5211153 -13 1
〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5277
-1 15335 1304 13 5
-52112 13 5211153 13 2
-1 13 1304 15335
ELE$ENTO COLU$NA PORT
1 2
54342 -151342 -543422 -15134 1-1513 1302 151342 151342
-54342 151342 543422 151342 2
-1513 151342 151342 1302
ELE$ENTO COLU$NA PORT
2 3 10
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 10
ELE$ENTO COLU$NA
2 3 11
52112 -13 -5211153 -13 2
-1 15335 1304 13
-52112 13 5211153 13 3
-1 13 1304 15335 11
ELE$ENTO COLU$NA PORT
2 3 12
54342 -151342 -543422 -15134 2
-1513 1302 151342 151342
-54342 151342 543422 151342 3
-1513 151342 151342 1302 12
ELE$ENTO 10 VIGA
4 5
233 334142 4
3341 2325 5
ELE$ENTO 11 VIGA
5
233 334142 5
3341 2325
ELE$ENTO 12 VIGA
233 334142
3341 2325
ELE$ENTO 13 VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5377
233 334142
3341 2325
ELE$ENTO 14 VIGA
10 11
233 334142 103341 2325 11
ELE$ENTO 15 VIGA
11 12
233 334142 11
3341 2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5477
2 3 4 5 10 11
-1352 0 0 0 0 -15 -1 -15 0 0
34304 -13 1514 1 151 0 0 0 -1514 -2
-1352 13 0 0 0 151 1 151 1514 1
15134 0 10053 3341 0 151 0 0 0 0
13 0 334 1434 33 0 1 0 0 0
15134 0 0 3341 10053 0 0 0 0 0
0 151 1514 0 0 10053 0 0 1514 0
0 2 0 1 0 0 1434 33 0 1
0 151 0 0 0 0 3341 10053 0 0-15134 151 0 0 0 151 0 0 42311 33
-13 2 0 0 0 0 1 0 3342 15542
-15134 151 0 0 0 0 0 151 0 33
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5777
12
0 1
-15 2
151 3
0 4
0 5
0
0
0
151 0 10
33 11
423 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5877
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 5977
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6077
MATRI DE RIGIDE TERA DE M
E = 213051 6(m2
9s P6 I
b m m m4
Cm 030 030 00005
V 030 050 0003125
Ps A6 Cmm lon)+ a m1 300 L1= 400
2 3 L2= 400
3 3
MATRI DE RIGIDE DE PORTICO
1 2 3 4 5 20215 -10410244 0 0 0 0
-1041024 20215 -104103 13 13 13
0 -10410244 104103 0 0 0
0 13 0 1005504 334142 0
0 13 0 334142 14334 334142
0 13 0 0 334142 1005504
-13 000000 13 13 0 0
-13 000000 13 0 13 0
-13 000000 13 0 0 0
0 -13 13 0 0 00 -13 13 0 0 0
0 -13 13 0 0 0
MATR DE RIGIDE ATERA D MAMPOSTERIA
2013515 -1040101211 11014
+L = -1040102 2041121033 -101113
11014 -101113122 1001435
MATRI DE COMPATIBIIDAD
0 0 0 1 0 0
AA-C 0 0 0 0 1 0
0 0 0 0 0 1
1 0 0 0 0 0
A1-3 0 1 0 0 0 0
_ 〖minus〗 _ 〖 4 _minus minus 〗_
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6177
0 0 1 0 0 0
1 0 0 0 0 0
A2= 0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0A9= 0 0 0 0 1 0
0 0 0 0 0 1
MATR DE RIGIDE EN COORDENADAS DE PISO
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6277
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533 5
COLU$NA
0 1
-1 -52112 -1 0
1533 1 1 0
1 52112 1 1
1 1 1533
COLU$NA4 2
-13 -5211154 -13 1
15335 13 13 4
13 5211154 132
13 13 15335
COLU$NA
5 2
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7077
-13 -5211154 -13 1
15335 13 13 5
13 5211154 132
13 13 15335
COLU$NA
2 -13 -5211154 -13 1
15335 13 13
13 5211154 132
13 13 15335
COLU$NA
3 10
-13 -5211154 -13 2
15335 13 13
13 5211154 13313 13 15335 10
COLU$NA
3 11
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 11
COLU$NA
3 12
-13 -5211154 -13 2
15335 13 13
13 5211154 133
13 13 15335 12
VIGA
5
334142 4
2325 5
VIGA
334142 5
2325
VIGA
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7177
334142
2325
VIGA
334142
2325
VIGA
11
334142 10
2325 11
VIGA
12
334142 11
2325 12
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7277
IWUIERDA DER
L= 4100433 L=
= 11525105 =
A= 0123 A=
EmA(L 525 EmA(L
002554
05523
IWUIERDA
ELE$ENTO 1 ELE$ENTO 1
0 0 1 0 0
42230 31411 -42230 -31411 0 422231411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 1 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 1 ELE$ENTO 1
1 0 2 0 1
42230 31411 -42230 -31411 1 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 2 -4222
-31411 -233520 31411 233520 0 -31410
ELE$ENTO 20 ELE$ENTO 2
2 0 3 0 2
42230 31411 -42230 -31411 2 4222
31411 233520 -31411 -233520 0 31410
-42230 -31411 42230 31411 3 -4222
-31411 -233520 31411 233520 0 -31410
)s Y= )s Y=
s Y= s Y=
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7377
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7477
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7577
CHA
4100433
11525105
0123
525
002554
05523
DERECHA
0 1 0
31410 -4222 -314100233520321 -31410 -2335203210
-31410 4222 31410 1
-233520321 31410 233520321 0
0 2 0
31410 -4222 -31410 1
233520321 -31410 -233520321 0
-31410 4222 31410 2
-233520321 31410 233520321 0
0 3 0
31410 -4222 -31410 2
233520321 -31410 -233520321 0
-31410 4222 31410 3
-233520321 31410 233520321 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7677
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 7777
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6377
AMPOSTERIA
$URO
Esp = 015 m X=
Em = 1500000 6(m2
10 11 12-13 -13 -13 0 0 0
0 0 0 -13 -13 -13
13 13 13 13 13 13
13 0 0 0 0 0
0 13 0 0 0 0
0 0 0 0 0 0
1005504 0 0 13 0 0
0 14334 334142 0 13 0
0 334142 1005504 0 0 13
13 0 0 411 334142 00 13 0 334142 15542001 334142
0 0 13 0 334142 411
5 0 0
0 5 0
0 0 5
-4 0 0
0 -4 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6477
0 0 -4
0 0 0
0 0 0
0 0 0
0 0 00 0 0
0 0 0
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6577
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6677
00
X= 0
1000
0
ELE$ENTO 1
0
52111 -1
2 -5211
3 -1
4
5 ELE$ENTO 2
0
52112
-1
-52112
10 -111
12 ELE$ENTO 3
0
52112
-1
-52112
-1
ELE$ENTO 41
5211154
-13
-5211154
-13
ELE$ENTO 5
1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6777
5211154
-13
-5211154
-13
ELE$ENTO
15211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO
2
5211154
-13
-5211154
-13
ELE$ENTO 1
4
2325
334142
ELE$ENTO 1
5
2325
334142
ELE$ENTO 1
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6877
2325
334142
ELE$ENTO 1
2325
334142
ELE$ENTO 1
10
2325
334142
ELE$ENTO 1
11
2325
334142
7172019 Aest 3 Pisos-3gdl
httpslidepdfcomreaderfullaest-3-pisos-3gdl 6977
COLU$NA
0 1 4
-1 -5211 -1 01534 1 1 0
1 5211 1 1
1 1 1534 4
COLU$NA
0 1 5
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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7172019 Aest 3 Pisos-3gdl
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