Análisis No Lineal
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Transcript of Análisis No Lineal
1
BARRA a
COORDENADAS (cm)
x
1 0
2 0
LONGITUD (cm)
500
l =
m =
T =
0
1
0
Ke11a =
3.08367
0
-770.9175
Ke21a =
-3.08367
0
-770.9175
Kg11a =
0
0
0
Kg21a =
0
0
0
K11a =
3.08367
0
-770.9175
K21a =
-3.08367
0
-770.9175
0.15
=
320.33367-0.25 0
0 770.91750 -317.25
-0.25 00 0
Δd'xC
=
0.03191401Δd'yC -0.00071028Δφ'zC -5.797E-005Δd'xD 0.03161054Δd'yD -0.00093143Δφ'zD -1.557E-006
Ecuación fuerza desplazamiento para cada barra
=
3.08367 0
0 380.7
-770.9175 0
ΔP2a' =
-3.08367 0
0 -380.7
-770.9175 0
ΔP1b' =
3.08367 0
0 380.7
-770.9175 0
ΔP2b' =
-3.08367 0
0 -380.7
-770.9175 0
ΔP1c' =
317.25 0
0 1.78453125
0 713.8125
ΔP2c' =
-317.25 0
0 -1.78453125
0 713.8125
ΔP1a'
2
BARRA a
COORDENADAS (cm)
x
1 0
2 0.031914007
LONGITUD (cm)
499.9992907346
l =
m =
T =
6.38281E-005
0.999999998
0
Ke11a =
3.083684661
0.024102568
-770.9196856
Ke21a =
-3.083684661
-0.024102568
-770.9196856
Kg11a =
-0.000648973
0.000553577
0.027040508
Kg21a =
0.000648973
-6.9038E-009
0.027040508
K11a =
3.083035688
0.024656145
-770.8926451
K21a =
-3.083035688
-0.024102575
-770.8926451
0.15
=
320.333036-0.25 0.02413566
0 770.8928420 -317.25
-0.25 8.7205E-0050 0.00019732
Δd'xB
=
0.03193186Δd'yB -0.00071226Δφ'zB -5.799E-005Δd'xD 0.0316284Δd'yD -0.00093347Δφ'zD -1.571E-006
Ecuación fuerza desplazamiento para cada barra
=
3.083035688 0.024656145
0.024656145 380.6999977
-770.8926451 0.049204617
ΔP2a' =
-3.083035688 -0.024102575
-0.024102575 -380.6999977
-770.8926451 0.049204617
ΔP1b' =
3.082837695 0.024595233
0.024595233 380.6999977
-770.8849081 0.048736261
ΔP2b' =
-3.082837695 -0.023873406
-0.023873406 -380.6999977
-770.8849081 0.048736261
ΔP1c' =
317.25 3.30855E-005
3.30855E-005 1.784388866
0.000197318 713.8034139
ΔP2c' =
-317.25 8.72045E-005
8.72045E-005 -1.784388866
0.000197318 713.8034139
ΔP1a'
3
BARRA a
COORDENADAS (cm)
x
1 0
2 0.063845863
LONGITUD (cm)
499.9985815297
l =
m =
T =
0.000127692
0.999999992
0
Ke11a =
3.083702402
0.048218752
-770.9218678
Ke21a =
-3.083702402
-0.048218752
-770.9218678
Kg11a =
-0.001297894
0.001107117
0.054078755
Kg21a =
0.001297894
-2.7622E-008
0.054078755
K11a =
3.082404508
0.049325868
-770.8677891
K21a =
-3.082404508
-0.048218779
-770.8677891
0.15
=
320.332405-0.25 0.04828492
0 770.8681840 -317.25
-0.25 0.000174430 0.00039469
Δd'xB
=
0.03194972Δd'yB -0.00071424Δφ'zB -5.801E-005Δd'xD 0.03164628Δd'yD -0.00093552Δφ'zD -1.586E-006
Ecuación fuerza desplazamiento para cada barra
=
3.082404508 0.049325868
0.049325868 380.6999923
-770.8677891 0.098433718
ΔP2a' =
-3.082404508 -0.048218779
-0.048218779 -380.6999923
-770.8677891 0.098433718
ΔP1b' =
3.082008369 0.049204175
0.049204175 380.6999924
-770.8523116 0.097496121
ΔP2b' =
-3.082008369 -0.047760497
-0.047760497 -380.6999924
-770.8523116 0.097496121
ΔP1c' =
317.25 6.61396E-005
6.61396E-005 1.78424649
0.000394688 713.7943283
ΔP2c' =
-317.25 0.000174435
0.000174435 -1.78424649
0.000394688 713.7943283
ΔP1a'
4
BARRA a
COORDENADAS (cm)
x
1 0
2 0.095795581
LONGITUD (cm)
499.9978723854
l =
m =
T =
0.000191592
0.999999982
0
Ke11a =
3.083723227
0.072348561
-770.9240468
Ke21a =
-3.083723227
-0.072348561
-770.9240468
Kg11a =
-0.001946762
0.00166062
0.081114741
Kg21a =
0.001946762
-6.2164E-008
0.081114741
K11a =
3.081776465
0.074009181
-770.842932
K21a =
-3.081776465
-0.072348623
-770.842932
0.15
=
320.331776-0.25 0.07244779
0 770.8435240 -317.25
-0.25 0.000261690 0.00059211
Δd'xB
=
0.0319676Δd'yB -0.00071623Δφ'zB -5.802E-005Δd'xD 0.03166417Δd'yD -0.00093757Δφ'zD -1.600E-006
Ecuación fuerza desplazamiento para cada barra
=
3.081776465 0.074009181
0.074009181 380.6999838
-770.842932 0.147687324
ΔP2a' =
-3.081776465 -0.072348623
-0.072348623 -380.6999838
-770.842932 0.147687324
ΔP1b' =
3.081182027 0.073826839
0.073826839 380.6999841
-770.8197105 0.1462796
ΔP2b' =
-3.081182027 -0.071661283
-0.071661283 -380.6999841
-770.8197105 0.1462796
ΔP1c' =
317.25 9.91623E-005
9.91623E-005 1.784104119
0.000592113 713.7852431
ΔP2c' =
-317.25 0.000261691
0.000261691 -1.784104119
0.000592113 713.7852431
ΔP1a'
1
BARRA a
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
y
0 B = 30
500 H = 45
A = 1350
LONGITUD (cm) I = 227812.5
500
MÓDULO DE ELASTICIDAD
0
1 E = 141
EA/L = 380.7
-1 0 12EI/L^3 = 3.08367
0 0 6EI/L^2 = 770.9175
0 1 P2x/L = 0
0 -770.9175
Ke12a =
-3.08367
380.7 0 0
0 256972.5 770.9175
0 770.9175
Ke22a =
3.08367
-380.7 0 0
0 128486.25 770.9175
0 0
Ke12a =
0
0 0 0
0 0 0
0 0
Ke22a =
0
0 0 0
0 0 0
0 -770.9175
K12a =
-3.08367
380.7 0 0
0 256972.5 770.9175
0 770.9175
K22a =
3.08367
-380.7 0 0
0 128486.25 770.9175
0 770.9175 -317.25 0 0
*
382.484531 713.8125 0 -1.78453125 713.8125713.8125 637672.5 0 -713.8125 190350
0 0 320.33367 0 770.9175-1.78453125 -713.8125 0 382.484531 -713.8125
713.8125 190350 770.9175 -713.8125 637672.5
Ecuación fuerza desplazamiento para cada barra
-770.9175
*
0
+
-3.08367 0
0 0 0 -380.7
256972.5 0 770.9175 0
770.9175
*
0
+
3.08367 0
0 0 0 380.7
128486.25 0 770.9175 0
-770.9175
*
0
+
-3.08367 0
0 0 0 -380.7
256972.5 0 770.9175 0
770.9175
*
0
+
3.08367 0
0 0 0 380.7
128486.25 0 770.9175 0
0
*
0.031914007
+
-317.25 0
713.8125 -0.000710284 0 -1.78453125
380700 -0.000057968 0 -713.8125
0
*
0.031914007
+
317.25 0
-713.8125 -0.000710284 0 1.78453125
190350 -0.000057968 0 -713.8125
2
BARRA a
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
y
0 B = 30
499.9992897 H = 45
A = 1350
LONGITUD (cm) I = 227812.5
499.9992907346
MÓDULO DE ELASTICIDAD
6.3828E-005
1 E = 141
EA/L = 380.70054
-0.999999998 0 12EI/L^3 = 3.08368312
6.38281E-005 0 6EI/L^2 = 770.919687
0 1 P2x/L = -0.000540811
0.024102568 -770.9196856
Ke12a =
-3.083684661
380.7005385 0.049206343 -0.024102568
0.049206343 256972.8645 770.9196856
-0.024102568 770.9196856
Ke22a =
3.083684661
-380.7005385 -0.049206343 0.024102568
0.049206343 128486.4323 770.9196856
0.000553577 0.027040508
Ke12a =
0.000648973
-0.000540811 -1.7259E-006 -6.9038E-009
-1.7259E-006 -18.02697949 -0.027040508
-6.9038E-009 -0.027040508
Ke22a =
-0.000648973
0.000540811 1.72594E-006 6.90379E-009
-1.7259E-006 4.506744873 -0.027040508
0.024656145 -770.8926451
K12a =
-3.083035688
380.6999977 0.049204617 -0.024102575
0.049204617 256954.8375 770.8926451
-0.024102575 770.8926451
K22a =
3.083035688
-380.6999977 -0.049204617 0.024102575
0.049204617 128490.939 770.8926451
0.02413566 770.892842 -317.25 8.7205E-005 0.00019732
*
382.484387 713.754209 8.7205E-005 -1.78438887 713.803414713.754209 637644.712 -0.00019732 -713.803414 190352.648.7205E-005 -0.00019732 320.332838 0.0237862 770.884711-1.78438887 -713.803414 0.0237862 382.484387 -713.85215713.803414 190352.64 770.884711 -713.85215 637639.214
Ecuación fuerza desplazamiento para cada barra
-770.8926451
*
0
+
-3.083035688 -0.024102575
0.049204617 0 -0.024102575 -380.6999977
256954.8375 0 770.8926451 -0.049204617
770.8926451
*
0
+
3.083035688 0.024102575
-0.049204617 0 0.024102575 380.6999977
128490.939 0 770.8926451 -0.049204617
-770.8849081
*
0
+
-3.082837695 -0.023873406
0.048736261 0 -0.023873406 -380.6999977
256949.3386 0 770.8849081 -0.048736261
770.8849081
*
0
+
3.082837695 0.023873406
-0.048736261 0 0.023873406 380.6999977
128492.399 0 770.8849081 -0.048736261
0.000197318
*
0.031931855
+
-317.25 8.72045E-005
713.8034139 -0.000712263 8.72045E-005 -1.784388866
380689.875 -5.7987E-005 -0.000197318 -713.8034139
-0.000197318
*
0.031931855
+
317.25 -8.7205E-005
-713.8034139 -0.000712263 -8.7205E-005 1.784388866
190352.6396 -5.7987E-005 -0.000197318 -713.8034139
3
BARRA a
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
y
0 B = 30
499.9985775 H = 45
A = 1350
LONGITUD (cm) I = 227812.5
499.9985815297
MÓDULO DE ELASTICIDAD
0.00012769
0.99999999 E = 141
EA/L = 380.70108
-0.999999992 0 12EI/L^3 = 3.08369624
0.000127692 0 6EI/L^2 = 770.921874
0 1 P2x/L = -0.001081578
0.048218752 -770.9218678
Ke12a =
-3.083702402
380.7010739 0.098440623 -0.048218752
0.098440623 256973.229 770.9218678
-0.048218752 770.9218678
Ke22a =
3.083702402
-380.7010739 -0.098440623 0.048218752
0.098440623 128486.6145 770.9218678
0.001107117 0.054078755
Ke12a =
0.001297894
-0.001081578 -6.9054E-006 -2.7622E-008
-6.9054E-006 -36.0524016 -0.054078755
-2.7622E-008 -0.054078755
Ke22a =
-0.001297894
0.001081578 6.90543E-006 2.76218E-008
-6.9054E-006 9.013100401 -0.054078755
0.049325868 -770.8677891
K12a =
-3.082404508
380.6999923 0.098433718 -0.048218779
0.098433718 256937.1766 770.8677891
-0.048218779 770.8677891
K22a =
3.082404508
-380.6999923 -0.098433718 0.048218779
0.098433718 128495.6276 770.8677891
0.04828492 770.868184 -317.25 0.00017443 0.00039469
*
382.484239 713.695895 0.00017443 -1.78424649 713.794328713.695895 637616.927 -0.00039469 -713.794328 190355.2790.00017443 -0.00039469 320.332008 0.04758606 770.851917-1.78424649 -713.794328 0.04758606 382.484239 -713.891824713.794328 190355.279 770.851917 -713.891824 637605.927
Ecuación fuerza desplazamiento para cada barra
-770.8677891
*
0
+
-3.082404508 -0.048218779
0.098433718 0 -0.048218779 -380.6999923
256937.1766 0 770.8677891 -0.098433718
770.8677891
*
0
+
3.082404508 0.048218779
-0.098433718 0 0.048218779 380.6999923
128495.6276 0 770.8677891 -0.098433718
-770.8523116
*
0
+
-3.082008369 -0.047760497
0.097496121 0 -0.047760497 -380.6999924
256926.1761 0 770.8523116 -0.097496121
770.8523116
*
0
+
3.082008369 0.047760497
-0.097496121 0 0.047760497 380.6999924
128498.5483 0 770.8523116 -0.097496121
0.000394688
*
0.031949718
+
-317.25 0.000174435
713.7943283 -0.000714245 0.000174435 -1.78424649
380679.7504 -5.8005E-005 -0.000394688 -713.7943283
-0.000394688
*
0.031949718
+
317.25 -0.000174435
-713.7943283 -0.000714245 -0.000174435 1.78424649
190355.279 -5.8005E-005 -0.000394688 -713.7943283
4
BARRA a
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
y
0 B = 30
499.9978632 H = 45
A = 1350
LONGITUD (cm) I = 227812.5
499.9978723854
MÓDULO DE ELASTICIDAD
0.00019159
0.99999998 E = 141
EA/L = 380.70162
-0.999999982 0 12EI/L^3 = 3.08370937
0.000191592 0 6EI/L^2 = 770.924061
0 1 P2x/L = -0.001622302
0.072348561 -770.9240468
Ke12a =
-3.083723227
380.7016061 0.147702865 -0.072348561
0.147702865 256973.5935 770.9240468
-0.072348561 770.9240468
Ke22a =
3.083723227
-380.7016061 -0.147702865 0.072348561
0.147702865 128486.7967 770.9240468
0.00166062 0.081114741
Ke12a =
0.001946762
-0.001622302 -1.5541E-005 -6.2164E-008
-1.5541E-005 -54.07626507 -0.081114741
-6.2164E-008 -0.081114741
Ke22a =
-0.001946762
0.001622302 1.55409E-005 6.21640E-008
-1.5541E-005 13.51906627 -0.081114741
0.074009181 -770.842932
K12a =
-3.081776465
380.6999838 0.147687324 -0.072348623
0.147687324 256919.5172 770.842932
-0.072348623 770.842932
K22a =
3.081776465
-380.6999838 -0.147687324 0.072348623
0.147687324 128500.3158 770.842932
0.07244779 770.843524 -317.25 0.00026169 0.00059211
*
382.484088 713.637556 0.00026169 -1.78410412 713.785243713.637556 637589.144 -0.00059211 -713.785243 190357.9180.00026169 -0.00059211 320.331182 0.07139959 770.819118-1.78410412 -713.785243 0.07139959 382.484088 -713.931523713.785243 190357.918 770.819118 -713.931523 637572.639
Ecuación fuerza desplazamiento para cada barra
-770.842932
*
0
+
-3.081776465 -0.072348623
0.147687324 0 -0.072348623 -380.6999838
256919.5172 0 770.842932 -0.147687324
770.842932
*
0
+
3.081776465 0.072348623
-0.147687324 0 0.072348623 380.6999838
128500.3158 0 770.842932 -0.147687324
-770.8197105
*
0
+
-3.081182027 -0.071661283
0.1462796 0 -0.071661283 -380.6999841
256903.0127 0 770.8197105 -0.1462796
770.8197105
*
0
+
3.081182027 0.071661283
-0.1462796 0 0.071661283 380.6999841
128504.6978 0 770.8197105 -0.1462796
0.000592113
*
0.031967597
+
-317.25 0.000261691
713.7852431 -0.00071623 0.000261691 -1.784104119
380669.6263 -5.8024E-005 -0.000592113 -713.7852431
-0.000592113
*
0.031967597
+
317.25 -0.000261691
-713.7852431 -0.00071623 -0.000261691 1.784104119
190357.9183 -5.8024E-005 -0.000592113 -713.7852431
1
BARRA a BARRA b
PROPIEDADES GEOMETRICAS
cm
cm
MÓDULO DE ELASTICIDAD
T
0 -770.9175
Ke11b-380.7 0
0 128486.25
0 770.9175
Ke21b380.7 0
0 256972.5
0 0
Kg11b0 0
0 0
0 0
Kg21b0 0
0 0
0 -770.9175
K11b-380.7 0
0 128486.25
cm2
cm4
ton/cm2
0 770.9175
K21b380.7 0
0 256972.5
Δd'xC
+
0Δd'yC 0.0625
PxCΔφ'zC 12.5Δd'xD 0 0.15Δd'yD 0.0625Δφ'zD -12.5
Ecuación fuerza desplazamiento para cada barra
-770.9175
*
0.031914007
+
0
=0 -0.000710284 0
128486.25 -0.000057968 0
770.9175
*
0.031914007
+
0
=0 -0.000710284 0
256972.5 -0.000057968 0
-770.9175
*
0.031610536
+
0
=0 -0.000931429 0
128486.25 -1.5569E-006 0
770.9175
*
0.031610536
+
0
=0 -0.000931429 0
256972.5 -1.5569E-006 0
0
*
0.031610536
+
0
=713.8125 -0.000931429 0.0625
190350 -1.5569E-006 12.5
0
*
0.031610536
+
0
=-713.8125 -0.000931429 0.0625
380700 -1.5569E-006 -12.5
2
BARRA a BARRA b
PROPIEDADES GEOMETRICAS
cm
cm
MÓDULO DE ELASTICIDAD
T
-0.024102568 -770.9196856
Ke11b-380.7005385 0.049206343
-0.049206343 128486.4323
0.024102568 770.9196856
Ke21b380.7005385 -0.049206343
-0.049206343 256972.8645
-6.9038E-009 0.027040508
Kg11b0.000540811 -1.7259E-006
1.72594E-006 4.506744873
6.90379E-009 -0.027040508
Kg21b-0.000540811 1.72594E-006
1.72594E-006 -18.02697949
-0.024102575 -770.8926451
K11b-380.6999977 0.049204617
-0.049204617 128490.939
cm2
cm4
ton/cm2
0.024102575 770.8926451
K21b380.6999977 -0.049204617
-0.049204617 256954.8375
Δd'xB
+
0Δd'yB 0.0625
PxCΔφ'zB 12.5Δd'xD 0 0.3Δd'yD 0.0625Δφ'zD -12.5
Ecuación fuerza desplazamiento para cada barra
-770.8926451
*
0.031931855
+
0
=0.049204617 -0.000712263 0
128490.939 -5.7987E-005 0
770.8926451
*
0.031931855
+
0
=-0.049204617 -0.000712263 0
256954.8375 -5.7987E-005 0
-770.8849081
*
0.031628398
+
0
=0.048736261 -0.000933473 0
128492.399 -1.5712E-006 0
770.8849081
*
0.031628398
+
0
=-0.048736261 -0.000933473 0
256949.3386 -1.5712E-006 0
0.000197318
*
0.031628398
+
0
=713.8034139 -0.000933473 0.0625
190352.6396 -1.5712E-006 12.5
-0.000197318
*
0.031628398
+
0
=-713.8034139 -0.000933473 0.0625
380689.875 -1.5712E-006 -12.5
3
BARRA a BARRA b
PROPIEDADES GEOMETRICAS
cm
cm
MÓDULO DE ELASTICIDAD
T
-0.048218752 -770.9218678
Ke11b-380.7010739 0.098440623
-0.098440623 128486.6145
0.048218752 770.9218678
Ke21b380.7010739 -0.098440623
-0.098440623 256973.229
-2.7622E-008 0.054078755
Kg11b0.001081578 -6.9054E-006
6.90543E-006 9.013100401
2.76218E-008 -0.054078755
Kg21b-0.001081578 6.90543E-006
6.90543E-006 -36.0524016
-0.048218779 -770.8677891
K11b-380.6999923 0.098433718
-0.098433718 128495.6276
cm2
cm4
ton/cm2
0.048218779 770.8677891
K21b380.6999923 -0.098433718
-0.098433718 256937.1766
Δd'xB
+
0Δd'yB 0.0625
PxCΔφ'zB 12.5Δd'xD 0 0.45Δd'yD 0.0625Δφ'zD -12.5
Ecuación fuerza desplazamiento para cada barra
-770.8677891
*
0.031949718
+
0
=0.098433718 -0.000714245 0
128495.6276 -5.8005E-005 0
770.8677891
*
0.031949718
+
0
=-0.098433718 -0.000714245 0
256937.1766 -5.8005E-005 0
-770.8523116
*
0.031646276
+
0
=0.097496121 -0.00093552 0
128498.5483 -1.5856E-006 0
770.8523116
*
0.031646276
+
0
=-0.097496121 -0.00093552 0
256926.1761 -1.5856E-006 0
0.000394688
*
0.031646276
+
0
=713.7943283 -0.00093552 0.0625
190355.279 -1.5856E-006 12.5
-0.000394688
*
0.031646276
+
0
=-713.7943283 -0.00093552 0.0625
380679.7504 -1.5856E-006 -12.5
4
BARRA a BARRA b
PROPIEDADES GEOMETRICAS
cm
cm
MÓDULO DE ELASTICIDAD
T
-0.072348561 -770.9240468
Ke11b-380.7016061 0.147702865
-0.147702865 128486.7967
0.072348561 770.9240468
Ke21b380.7016061 -0.147702865
-0.147702865 256973.5935
-6.2164E-008 0.081114741
Kg11b0.001622302 -1.5541E-005
1.55409E-005 13.51906627
6.21640E-008 -0.081114741
Kg21b-0.001622302 1.55409E-005
1.55409E-005 -54.07626507
-0.072348623 -770.842932
K11b-380.6999838 0.147687324
-0.147687324 128500.3158
cm2
cm4
ton/cm2
0.072348623 770.842932
K21b380.6999838 -0.147687324
-0.147687324 256919.5172
Δd'xB
+
0Δd'yB 0.0625
PxCΔφ'zB 12.5Δd'xD 0 0.6Δd'yD 0.0625Δφ'zD -12.5
Ecuación fuerza desplazamiento para cada barra
-770.842932
*
0.031967597
+
0
=0.147687324 -0.00071623 0
128500.3158 -5.8024E-005 0
770.842932
*
0.031967597
+
0
=-0.147687324 -0.00071623 0
256919.5172 -5.8024E-005 0
-770.8197105
*
0.031664169
+
0
=0.1462796 -0.000937571 0
128504.6978 -1.6001E-006 0
770.8197105
*
0.031664169
+
0
=-0.1462796 -0.000937571 0
256903.0127 -1.6001E-006 0
0.000592113
*
0.031664169
+
0
=713.7852431 -0.000937571 0.0625
190357.9183 -1.6001E-006 12.5
-0.000592113
*
0.031664169
+
0
=-713.7852431 -0.000937571 0.0625
380669.6263 -1.6001E-006 -12.5
1
BARRA b
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
x y
1 800 0 B
2 800 500 H
A
LONGITUD (cm) I
500
MÓDULO DE ELASTICIDAD
l = 0
m = 1 E
EA/L
=
0 -1 0 12EI/L^3
1 0 0 6EI/L^2
0 0 1 P2x/L
=
3.084 0.000 -770.918
Ke12b0.000 380.700 0.000
-770.918 0.000 256972.500
=
-3.084 0.000 770.918
Ke22b0.000 -380.700 0.000
-770.918 0.000 128486.250
=
0 0 0
Ke12b0 0 0
0 0 0
=
0 0 0
Ke22b0 0 0
0 0 0
=
3.08367 0 -770.9175
K12b0 380.7 0
-770.9175 0 256972.5
=
-3.08367 0 770.9175
K22b0 -380.7 0
-770.9175 0 128486.25
PyC PyDC D
dx dy φz dx-0.25 -0.25 0.03191401 -0.00071028 -5.797E-005 0.03161054
Ecuación fuerza desplazamiento para cada barra Rotación al sistema local
-0.0537
Barra a
0.2704
17.1550
0.0537
-0.2704
9.7069
-0.0963
Barra b
0.3546
24.1691
0.0963
-0.3546
23.9690
0.0963
Barra c
0.0204
-9.7069
-0.0963
0.1046
-23.9690
ΔP1a
ΔP2a
ΔP1b
ΔP2b
ΔP1c
ΔP2c
2
BARRA b
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
x y
1 800 0 B
2 800.0316105 499.9990686 H
A
LONGITUD (cm) I
499.9990695705
MÓDULO DE ELASTICIDAD
l = 6.3221E-005
m = 1 E
EA/L
=
6.32212E-005 -0.999999998 0 12EI/L^3
0.999999998 6.32212E-005 0 6EI/L^2
0 0 1 P2x/L
=
3.084 0.024 -770.920
Ke12b0.024 380.701 0.049
-770.920 0.049 256972.978
=
-3.084 -0.024 770.920
Ke22b-0.024 -380.701 -0.049
-770.920 0.049 128486.489
=
-0.000851029 0.000721835 0.035459492
Ke12b0.000721835 -0.000709191 -2.2418E-006
0.035459492 -2.2418E-006 -23.63961761
=
0.000851029 -0.000000009 -0.035459492
Ke22b-0.000000009 0.000709191 2.24179E-006
0.035459492 -2.2418E-006 5.909904403
=
3.082837695 0.024595233 -770.8849081
K12b0.024595233 380.6999977 0.048736261
-770.8849081 0.048736261 256949.3386
=
-3.082837695 -0.023873406 770.8849081
K22b-0.023873406 -380.6999977 -0.048736261
-770.8849081 0.048736261 128492.399
PyC PyDB D
dx dy φz dx-0.5 -0.5 0.06384586 -0.00142255 -0.00011595 0.06323893
Ecuación fuerza desplazamiento para cada barra Rotación al sistema local
-0.0537
Barra a
0.2704
17.1653
0.0537
-0.2704
9.7161
-0.0963
Barra b
0.3546
24.1800
0.0963
-0.3546
23.9782
0.0963
Barra c
0.0204
-9.7161
-0.0963
0.1046
-23.9782
ΔP1a
ΔP2a
ΔP1b
ΔP2b
ΔP1c
ΔP2c
3
BARRA b
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
x y
1 800 0 B
2 800.0632389 499.9981351 H
A
LONGITUD (cm) I
499.9981390977
MÓDULO DE ELASTICIDAD
l = 0.00012648
m = 0.99999999 E
EA/L
=
0.000126478 -0.999999992 0 12EI/L^3
0.999999992 0.000126478 0 6EI/L^2
0 0 1 P2x/L
=
3.084 0.048 -770.923
Ke12b0.048 380.701 0.098
-770.923 0.098 256973.456
=
-3.084 -0.048 770.923
Ke22b-0.048 -380.701 -0.098
-770.923 0.098 128486.728
=
-0.001702103 0.001443714 0.070920676
Ke12b0.001443714 -0.001418419 -8.9699E-006
0.070920676 -8.9699E-006 -47.28027508
=
0.001702103 -3.5880E-008 -0.070920676
Ke22b-3.5880E-008 0.001418419 8.96993E-006
0.070920676 -8.9699E-006 11.82006877
=
3.082008369 0.049204175 -770.8523116
K12b0.049204175 380.6999924 0.097496121
-770.8523116 0.097496121 256926.1761
=
-3.082008369 -0.047760497 770.8523116
K22b-0.047760497 -380.6999924 -0.097496121
-770.8523116 0.097496121 128498.5483
PyC PyDB D
dx dy φz dx-0.75 -0.75 0.09579558 -0.00213679 -0.00017396 0.09488521
Ecuación fuerza desplazamiento para cada barra Rotación al sistema local
-0.0537
Barra a
0.2704
17.1756
0.0537
-0.2704
9.7254
-0.0963
Barra b
0.3546
24.1909
0.0963
-0.3546
23.9873
0.0963
Barra c
0.0204
-9.7254
-0.0963
0.1046
-23.9873
ΔP1a
ΔP2a
ΔP1b
ΔP2b
ΔP1c
ΔP2c
4
BARRA b
COORDENADAS (cm) PROPIEDADES GEOMETRICAS
x y
1 800 0 B
2 800.0948852 499.9971996 H
A
LONGITUD (cm) I
499.9972085815
MÓDULO DE ELASTICIDAD
l = 0.00018977
m = 0.99999998 E
EA/L
=
0.000189771 -0.999999982 0 12EI/L^3
0.999999982 0.000189771 0 6EI/L^2
0 0 1 P2x/L
=
3.084 0.072 -770.926
Ke12b0.072 380.702 0.146
-770.926 0.146 256973.935
=
-3.084 -0.072 770.926
Ke22b-0.072 -380.702 -0.146
-770.926 0.146 128486.967
=
-0.00255322 0.002165637 0.106383552
Ke12b0.002165637 -0.002127683 -2.0189E-005
0.106383552 -2.0189E-005 -70.92197343
=
0.00255322 -8.0755E-008 -0.106383552
Ke22b-8.0755E-008 0.002127683 2.01886E-005
0.106383552 -2.0189E-005 17.73049336
=
3.081182027 0.073826839 -770.8197105
K12b0.073826839 380.6999841 0.1462796
-770.8197105 0.1462796 256903.0127
=
-3.081182027 -0.071661283 770.8197105
K22b-0.071661283 -380.6999841 -0.1462796
-770.8197105 0.1462796 128504.6978
PyC PyDB D
dx dy φz dx-1 -1 0.12776318 -0.00285302 -0.00023198 0.12654938
Ecuación fuerza desplazamiento para cada barra Rotación al sistema local
-0.0537
Barra a
0.2703
17.1860
0.0537
-0.2703
9.7346
-0.0963
Barra b
0.3547
24.2019
0.0963
-0.3547
23.9964
0.0963
Barra c
0.0203
-9.7346
-0.0963
0.1047
-23.9964
ΔP1a
ΔP2a
ΔP1b
ΔP2b
ΔP1c
ΔP2c
1
BARRA b
PROPIEDADES GEOMETRICAS
= 30 cm
= 45 cm
= 1350
= 227812.5
MÓDULO DE ELASTICIDAD
= 141
= 380.7
= 3.08367
= 770.9175
= 0
=
-3.084 0.000 -770.918
0.000 -380.700 0.000
770.918 0.000 128486.250
=
3.084 0.000 770.918
0.000 380.700 0.000
770.918 0.000 256972.500
=
0 0 0
0 0 0
0 0 0
=
0 0 0
0 0 0
0 0 0
=
-3.08367 0 -770.9175
0 -380.7 0
770.9175 0 128486.25
cm2
cm4
ton/cm2
=
3.08367 0 770.9175
0 380.7 0
770.9175 0 256972.5
D P2xa P2xb P2xc
dy φz-0.00093143 -1.557E-006 -0.27040508 -0.35459492 -0.09627625
Rotación al sistema local
=0 1 0
*-0.05372375
-1 0 0 0.270405080 0 1 17.1549811
=0 1 0
*0.05372375
-1 0 0 -0.270405080 0 1 9.70689543
=0 1 0
*-0.09627625
-1 0 0 0.354594920 0 1 24.1690797
=0 1 0
*0.09627625
-1 0 0 -0.354594920 0 1 23.9690438
=1 0 0
*0.09627625
0 1 0 0.020405080 0 1 -9.70689543
=1 0 0
*-0.09627625
0 1 0 0.104594920 0 1 -23.9690438
2
BARRA b
PROPIEDADES GEOMETRICAS
= 30 cm
= 45 cm
= 1350
= 227812.5
MÓDULO DE ELASTICIDAD
= 141
= 380.700708
= 3.08368721
= 770.920369
= -0.000709191
=
-3.084 -0.024 -770.920
-0.024 -380.701 0.049
770.920 -0.049 128486.489
=
3.084 0.024 770.920
0.024 380.701 -0.049
770.920 -0.049 256972.978
=
0.000851029 -0.000000009 0.035459492
-0.000000009 0.000709191 -2.2418E-006
-0.035459492 2.24179E-006 5.909904403
=
-0.000851029 0.000000009 -0.035459492
0.000000009 -0.000709191 2.24179E-006
-0.035459492 2.24179E-006 -23.63961761
=
-3.082837695 -0.023873406 -770.8849081
-0.023873406 -380.6999977 0.048736261
770.8849081 -0.048736261 128492.399
cm2
cm4
ton/cm2
=
3.082837695 0.023873406 770.8849081
0.023873406 380.6999977 -0.048736261
770.8849081 -0.048736261 256949.3386
D P2xa P2xb P2xc
dy φz-0.0018649 -3.128E-006 -0.54078756 -0.70920677 -0.19254796
Rotación al sistema local
=6.3828E-005 1 0
*-0.05372841
-1 6.3828E-005 0 0.270385910 0 1 17.1653091
=6.3828E-005 1 0
*0.05372841
-1 6.3828E-005 0 -0.270385910 0 1 9.71611888
=6.3221E-005 1 0
*-0.09627168
-1 6.3221E-005 0 0.354617930 0 1 24.1800068
=6.3221E-005 1 0
*0.09627168
-1 6.3221E-005 0 -0.354617930 0 1 23.9781688
=1 -2.764E-007 0
*0.09627159
2.7643E-007 1 0 0.020385910 0 1 -9.71611888
=1 -2.764E-007 0
*-0.09627168
2.7643E-007 1 0 0.104617930 0 1 -23.9781688
3
BARRA b
PROPIEDADES GEOMETRICAS
= 30 cm
= 45 cm
= 1350
= 227812.5
MÓDULO DE ELASTICIDAD
= 141
= 380.701417
= 3.08370443
= 770.923238
= -0.001418419
=
-3.084 -0.048 -770.923
-0.048 -380.701 0.098
770.923 -0.098 128486.728
=
3.084 0.048 770.923
0.048 380.701 -0.098
770.923 -0.098 256973.456
=
0.001702103 -3.5880E-008 0.070920676
-3.5880E-008 0.001418419 -8.9699E-006
-0.070920676 8.96993E-006 11.82006877
=
-0.001702103 3.58799E-008 -0.070920676
3.58799E-008 -0.001418419 8.96993E-006
-0.070920676 8.96993E-006 -47.28027508
=
-3.082008369 -0.047760497 -770.8523116
-0.047760497 -380.6999924 0.097496121
770.8523116 -0.097496121 128498.5483
cm2
cm4
ton/cm2
=
3.082008369 0.047760497 770.8523116
0.047760497 380.6999924 -0.097496121
770.8523116 -0.097496121 256926.1761
D P2xa P2xb P2xc
dy φz-0.00280042 -4.714E-006 -0.81114743 -1.06383554 -0.28881512
Rotación al sistema local
=0.00012769 0.99999999 0
*-0.05373307
-1 0.00012769 0 0.270366730 0 1 17.1756462
=0.00012769 0.99999999 0
*0.05373307
-1 0.00012769 0 -0.270366730 0 1 9.72535024
=0.00012648 0.99999999 0
*-0.09626711
-1 0.00012648 0 0.354640950 0 1 24.1909426
=0.00012648 0.99999999 0
*0.09626711
-1 0.00012648 0 -0.354640950 0 1 23.9873017
=1 -5.529E-007 0
*0.09626693
5.5294E-007 1 0 0.020366730 0 1 -9.72535024
=1 -5.529E-007 0
*-0.09626711
5.5294E-007 1 0 0.104640950 0 1 -23.9873017
4
BARRA b
PROPIEDADES GEOMETRICAS
= 30 cm
= 45 cm
= 1350
= 227812.5
MÓDULO DE ELASTICIDAD
= 141
= 380.702125
= 3.08372165
= 770.926108
= -0.002127683
=
-3.084 -0.072 -770.926
-0.072 -380.702 0.146
770.926 -0.146 128486.967
=
3.084 0.072 770.926
0.072 380.702 -0.146
770.926 -0.146 256973.935
=
0.00255322 -8.0755E-008 0.106383552
-8.0755E-008 0.002127683 -2.0189E-005
-0.106383552 2.01886E-005 17.73049336
=
-0.00255322 8.07547E-008 -0.106383552
8.07547E-008 -0.002127683 2.01886E-005
-0.106383552 2.01886E-005 -70.92197343
=
-3.081182027 -0.071661283 -770.8197105
-0.071661283 -380.6999841 0.1462796
770.8197105 -0.1462796 128504.6978
cm2
cm4
ton/cm2
=
3.081182027 0.071661283 770.8197105
0.071661283 380.6999841 -0.1462796
770.8197105 -0.1462796 256903.0127
D P2xa P2xb P2xc
dy φz-0.00373799 -6.314E-006 -1.08148467 -1.41848126 -0.38507773
Rotación al sistema local
=0.00019159 0.99999998 0
*-0.05373774
-1 0.00019159 0 0.270347540 0 1 17.1859924
=0.00019159 0.99999998 0
*0.05373774
-1 0.00019159 0 -0.270347540 0 1 9.7345895
=0.00018977 0.99999998 0
*-0.09626252
-1 0.00018977 0 0.3546640 0 1 24.2018873
=0.00018977 0.99999998 0
*0.09626252
-1 0.00018977 0 -0.3546640 0 1 23.9964424
=1 -8.295E-007 0
*0.09626226
8.2954E-007 1 0 0.020347540 0 1 -9.7345895
=1 -8.295E-007 0
*-0.09626252
8.2954E-007 1 0 0.1046640 0 1 -23.9964424
1
BARRA c
COORDENADAS (cm)
x y
1 0 500
2 800 500
LONGITUD (cm)
800
l = 1
m = 0
T =
1 0 0
0 1 0
0 0 1
K11c =
317.250 0.000 0.000
0.000 1.785 713.813
0.000 713.813 380700.000
K21c =
-317.250 0.000 0.000
0.000 -1.785 -713.813
0.000 713.813 190350.000
Kg11c =
0 0 0
0 0 0
0 0 0
Kg21c =
0 0 0
0 0 0
0 0 0
K11c =
317.25 0 0
0 1.78453125 713.8125
0 713.8125 380700
K21c =
-317.25 0 0
0 -1.78453125 -713.8125
0 713.8125 190350
Rotación al sistema local
=0.2700.054
17.155
=-0.270-0.0549.707
=0.3550.096
24.169
=-0.355-0.09623.969
=0.0960.020-9.707
=-0.0960.105
-23.969
2
BARRA c
COORDENADAS (cm)
x y
1 0.031914007 499.9992897
2 800.0316105 499.9990686
LONGITUD (cm)
799.9996965288
l = 1
m = -2.764E-007
T =
1 2.76431E-007 0
-2.7643E-007 1 0
0 0 1
K11c =
317.250 0.000 0.000
0.000 1.785 713.813
0.000 713.813 380700.144
K21c =
-317.250 0.000 0.000
0.000 -1.785 -713.813
0.000 713.813 190350.072
Kg11c =
-0.000120345 0.00012029 -2.6614E-009
0.00012029 -0.000144414 -0.009627625
-2.6614E-009 -0.009627625 -10.26946245
Kg21c =
0.000120345 6.65344E-012 2.66138E-009
6.65344E-012 0.000144414 0.009627625
-2.6614E-009 -0.009627625 2.567365611
K11c =
317.25 3.30855E-005 0.000197318
3.30855E-005 1.784388866 713.8034139
0.000197318 713.8034139 380689.875
K21c =
-317.25 8.72045E-005 -0.000197318
8.72045E-005 -1.784388866 -713.8034139
0.000197318 713.8034139 190352.6396
Rotación al sistema local
=0.2700.054
17.165
=-0.270-0.0549.716
=0.3550.096
24.180
=-0.355-0.09623.978
=0.0960.020-9.716
=-0.0960.105
-23.978
3
BARRA c
COORDENADAS (cm)
x y
1 0.063845863 499.9985775
2 800.0632389 499.9981351
LONGITUD (cm)
799.999393072
l = 1
m = -5.529E-007
T =
1 5.52944E-007 0
-5.5294E-007 1 0
0 0 1
K11c =
317.250 0.000 0.000
0.000 1.785 713.814
0.000 713.814 380700.289
K21c =
-317.250 0.000 0.000
0.000 -1.785 -713.814
0.000 713.814 190350.144
Kg11c =
-0.000240685 0.000240575 -1.0647E-008
0.000240575 -0.000288822 -0.019254796
-1.0647E-008 -0.019254796 -20.53843311
Kg21c =
0.000240685 2.66171E-011 1.06468E-008
2.66171E-011 0.000288822 0.019254796
-1.0647E-008 -0.019254796 5.134608277
K11c =
317.25 6.61396E-005 0.000394688
6.61396E-005 1.78424649 713.7943283
0.000394688 713.7943283 380679.7504
K21c =
-317.25 0.000174435 -0.000394688
0.000174435 -1.78424649 -713.7943283
0.000394688 713.7943283 190355.279
Rotación al sistema local
=0.2700.054
17.176
=-0.270-0.0549.725
=0.3550.096
24.191
=-0.355-0.09623.987
=0.0960.020-9.725
=-0.0960.105
-23.987
4
BARRA c
COORDENADAS (cm)
x y
1 0.095795581 499.9978632
2 800.0948852 499.9971996
LONGITUD (cm)
799.9990896295
l = 1
m = -8.295E-007
T =
1 8.29539E-007 0
-8.2954E-007 1 0
0 0 1
K11c =
317.250 0.000 0.001
0.000 1.785 713.814
0.001 713.814 380700.433
K21c =
-317.250 0.000 -0.001
0.000 -1.785 -713.814
0.001 713.814 190350.217
Kg11c =
-0.000361019 0.000360853 -0.000000024
0.000360853 -0.000433223 -0.028881512
-0.000000024 -0.028881512 -30.80691109
Kg21c =
0.000361019 5.98959E-011 0.000000024
5.98959E-011 0.000433223 0.028881512
-0.000000024 -0.028881512 7.701727772
K11c =
317.25 9.91623E-005 0.000592113
9.91623E-005 1.784104119 713.7852431
0.000592113 713.7852431 380669.6263
K21c =
-317.25 0.000261691 -0.000592113
0.000261691 -1.784104119 -713.7852431
0.000592113 713.7852431 190357.9183
Rotación al sistema local
=0.2700.054
17.186
=-0.270-0.0549.735
=0.3550.096
24.202
=-0.355-0.09623.996
=0.0960.020-9.735
=-0.0960.105
-23.996
1
BARRA c
PROPIEDADES GEOMETRICAS
B = 30 cm
H = 60 cm
A = 1800
I = 540000
MÓDULO DE ELASTICIDAD
E = 141
EA/L = 317.25
12EI/L^3 = 1.78453125
6EI/L^2 = 713.8125
P2x/L = 0
K12c =
-317.250 0.000 0.000
0.000 -1.785 713.813
0.000 -713.813 190350.000
K22c =
317.250 0.000 0.000
0.000 1.785 -713.813
0.000 -713.813 380700.000
Ke12c =
0 0 0
0 0 0
0 0 0
Ke22c =
0 0 0
0 0 0
0 0 0
K12c =
-317.25 0 0
0 -1.78453125 713.8125
0 -713.8125 190350
cm2
cm4
ton/cm2
K22c =
317.25 0 0
0 1.78453125 -713.8125
0 -713.8125 380700
2
BARRA c
PROPIEDADES GEOMETRICAS
B = 30 cm
H = 60 cm
A = 1800
I = 540000
MÓDULO DE ELASTICIDAD
E = 141
EA/L = 317.25012
12EI/L^3 = 1.78453328
6EI/L^2 = 713.813042
P2x/L = -0.000120345
K12c =
-317.250 0.000 0.000
0.000 -1.785 713.813
0.000 -713.813 190350.072
K22c =
317.250 0.000 0.000
0.000 1.785 -713.813
0.000 -713.813 380700.144
Ke12c =
0.000120345 6.65344E-012 -2.6614E-009
6.65344E-012 0.000144414 -0.009627625
2.66138E-009 0.009627625 2.567365611
Ke22c =
-0.000120345 -6.6534E-012 2.66138E-009
-6.6534E-012 -0.000144414 0.009627625
2.66138E-009 0.009627625 -10.26946245
K12c =
-317.25 8.72045E-005 0.000197318
8.72045E-005 -1.784388866 713.8034139
-0.000197318 -713.8034139 190352.6396
cm2
cm4
ton/cm2
K22c =
317.25 -8.7205E-005 -0.000197318
-8.7205E-005 1.784388866 -713.8034139
-0.000197318 -713.8034139 380689.875
3
BARRA c
PROPIEDADES GEOMETRICAS
B = 30 cm
H = 60 cm
A = 1800
I = 540000
MÓDULO DE ELASTICIDAD
E = 141
EA/L = 317.250241
12EI/L^3 = 1.78453531
6EI/L^2 = 713.813583
P2x/L = -0.000240685
K12c =
-317.250 0.000 0.000
0.000 -1.785 713.814
0.000 -713.814 190350.144
K22c =
317.250 0.000 0.000
0.000 1.785 -713.814
0.000 -713.814 380700.289
Ke12c =
0.000240685 2.66171E-011 -1.0647E-008
2.66171E-011 0.000288822 -0.019254796
1.06468E-008 0.019254796 5.134608277
Ke22c =
-0.000240685 -2.6617E-011 1.06468E-008
-2.6617E-011 -0.000288822 0.019254796
1.06468E-008 0.019254796 -20.53843311
K12c =
-317.25 0.000174435 0.000394688
0.000174435 -1.78424649 713.7943283
-0.000394688 -713.7943283 190355.279
cm2
cm4
ton/cm2
K22c =
317.25 -0.000174435 -0.000394688
-0.000174435 1.78424649 -713.7943283
-0.000394688 -713.7943283 380679.7504
4
BARRA c
PROPIEDADES GEOMETRICAS
B = 30 cm
H = 60 cm
A = 1800
I = 540000
MÓDULO DE ELASTICIDAD
E = 141
EA/L = 317.250361
12EI/L^3 = 1.78453734
6EI/L^2 = 713.814125
P2x/L = -0.000361019
K12c =
-317.250 0.000 0.001
0.000 -1.785 713.814
-0.001 -713.814 190350.217
K22c =
317.250 0.000 -0.001
0.000 1.785 -713.814
-0.001 -713.814 380700.433
Ke12c =
0.000361019 5.98959E-011 -0.000000024
5.98959E-011 0.000433223 -0.028881512
0.000000024 0.028881512 7.701727772
Ke22c =
-0.000361019 -5.9896E-011 0.000000024
-5.9896E-011 -0.000433223 0.028881512
0.000000024 0.028881512 -30.80691109
K12c =
-317.25 0.000261691 0.000592113
0.000261691 -1.784104119 713.7852431
-0.000592113 -713.7852431 190357.9183
cm2
cm4
ton/cm2
K22c =
317.25 -0.000261691 -0.000592113
-0.000261691 1.784104119 -713.7852431
-0.000592113 -713.7852431 380669.6263
1
BARRA c
2
BARRA c
3
BARRA c
4
BARRA c