Zapatas Aulas Pabellon i - Ie n

ZAPATA "Z1" ENTRE EJES C-C Y 9-9 (AULAS)

DATOS: MD,MLZapata PD, PL

f ' c = 210 kg/cmColumna s/c = 300.00 kg/m

f ' c = 210 kg/cmb = 50 cm t1 45.00 cmt = 60 cm

Acero Df = 1.50 mf y = 4200 kg/cm Pm Pv Ps t2 45.00 cm

Suelo 12.41 0.93 13.34Df = 1.5 m Mm Mv Ms

t1 = 1.7 kg/m 0.15 0.06 0.21 t2 = 1.7 kg/m Tqa = 1.050 kg/cm

OtrosS/C = 300 kg/m

Ps = 13.34 TnPu (envol) = 21.76 Tn

Ms = 0.21 Tn - mMu (envol)= 1.31 Tn - m

T

1.- DIMENSIONAMIENTO DE LA ZAPATA ( Az = S*T )Clculo del peralte de la zapata (hc )

ld = 0.08 * b * Fy b ( 3/4" ) = 1.905 cm f 'c^.5 ld = 44.17 cm

Tomar ld = 44.17 cm Longitud de desarrollo en compresin

r.e = 7.50 cmhc = ld + r.e + b hc = 53.58 cmht = Df - hc Tomar hc = 60.00 cm

ht = 60.00 cm

Clculo de la presin neta del suelo ( qm )

qm = 0.88 kg/cm

Clculo del rea de la zapata ( Az )

A'z = Ps A'z = cm qm T ' = 128.12 cmT ' = Az^.5 + ( t - b ) S ' = 118.12 cm

2 e = 1.57 cmS ' = Az^.5 - ( t - b )

2 S = 121.26 cme = Ms Tomar S = 160.00 cm PsS = S' + 2*e Lvb = 55 cm Lvt y Lvb debenLvb =Lvt = S - b Dimens. Lvt = 55 cm ser iguales (Lvb=Lvt)

2 Reales T = 170.00 cmT = 2*m + t Tomar T = 170.00 cm

USAR S x T = 160X170 cm

h t1 =

h t2 =

DATOS DEL SAP2000

60.00 cm

S

qm = qa - t1*h t1 - t2*h t2 - c*hc - s/c

DATOS DEL SAP2000

hc =

15159.09

DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA

b

t

ZAPATA "Z1" ENTRE EJES C-C Y 9-9 (AULAS) DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA

Verificacin de las presiones ( q 1,2 )

e < T / 6 q 1, 2 = Ps * 1 6*e = qm OK ! S*T T

T / 6 = 28.33 cm > e =

q 1 = 0.52 kg/cm = qm =q 2 = 0.46 kg/cm = qm =

2.- DETERMINACIN DE LA REACCIN AMPLIFICADA ( qmu )e = Mu e = 6.02 cm Pu T / 6 = 28.33 cm > e =T / 6

q 1u = kg/cm qmu se toma el mayor valore < T / 6 q 2u = kg/cmq 1u, 2u = Pu * 1 6*e S*T T Tomar qmu = 0.97 kg/cm

3.- VERIFICACION POR CORTE ( = 0.85 )Por Flexin: d

Lv = ( T - t ) / 2 Lv = 55.00 cmVu = qmu * S * ( Lv - d ) r.e = 7.50 cmVc = 0.53 * f 'c^.5 * S * d b ( 5/8") = 1.59 cmVu = vc OK ! d = 50.91 cm qmu

Vu = kgr.e = 7.5 c.m Lvb Vc = kgd = hc - r.e - b vc = kg = Vu =

Por Punzonamiento:

Vu = Pu - qmu * m * n

Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.10 * f 'c^.5 * bo * d c

c = lado mayor columna ( t ) lado menor columna ( b )

m = t + dn = t + bbo = 2*m + 2*nVu = vc OK !

1.57 cm

0.88 kg/cm OK !!0.88 kg/cm OK !!

6.02 cm

0.970.06

634.38

62564.7853180.06 634.38 kg OK !!

d/2

d/2

m = t+d

n =

b+

d

t

b

T

S


Ps= PD+PL= 13340 Kg

-

n

qm = 0.88 kg/m

m - = Kg

m = 110.91 cmn = 100.91 cm

Vu = kg

c = 1.2bo = 423.65 cm

Vc = 1.04 * f 'c^.5 * bo * d = kgvc = kg = Vu =

4.- CALCULO DEL REFUERZO LONGITUDINAL ( = 0.90 )Direccin Mayor:

Lv = ( T - t ) / 2 Lv = cmMu = qmu * S * Lv Mu = kg - cm

2As = Mu / ( * fy * ( d - a/2 ))a = As * fy / ( 0.85 * f 'c * S )

qmu

As mn = 0.0018 * S * d LvAs > As mn OK !!

Mu = kg - cmAb S = cm# Varilla ( n ) = As d = cm

Ab a = cm (primera aprox.)As = cm

Espaciam = S - 2*r.e - b a = cm n -1

USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

10903.32

450094.57382580.38 10903.32 kg OK !!

55.00234740

1.360.2

234740160.0050.91

10.1825

14.66

As mn As req = As mn !!1.98

14.66

1.597.50


# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas

Espaciam. = cm

USAR 8 5/8" @ 20 cm

Direccin Menor:

As tranv = As * T As trv. = 16.82 cm S USAR As trv. = 16.82

As mn = 0.0018 * S * d As mn = 14.66 cmAs > As mn OK !!

As trv >Ab# Varilla ( n ) = As Ab ( 5/8" ) = cm

Ab b ( 5/8" ) = cmr.e = cm

Espaciam = S - 2*r.e - b n -1 # Varilla ( n ) = Varillas

# Varilla ( n ) = Varillas

Espaciam. = cm

USAR 9 5/8" @ 19 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm

ld = cm Longitud de desarrollo en traccin

ld = 12.43 cm As mn OK !!




USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

19.7

19.7


0.777

1.597.50

1229208.75215.0050.91

10.18257.1

36716.67

450094.57

1229208.75

382580.38 36716.67 kg OK !!

82.50

ZAPATA "Z2" ENTRE EJES C-C Y4-4,6-6,8-8 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


Espaciam. = cm

USAR 10 5/8" @ 22 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 11 5/8" @ 20 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm < 75.00 cm OK !!Lv1 =

8.500.001.277.50

12.43

1.00

As mn OK !!

1.981.597.50

10.4611

20.84

1.001.000.80

cm

9.9510

22.05

ZAPATA "Z2" ENTRE EJES A-A Y 4-4,6-6,8-8 (AULAS)





Suelo 41.6 10.74 52.34Df = 1.5 m Mm Mv Ms


OtrosS/C = 300 kg/m

Ps = 52.34 TnPu (envol) = 76.50 Tn


T


ld = 0.08 * b * Fy b ( 3/4" ) = 1.905 cm f 'c^.5 ld = 44.17 cm



ht = 60.00 cm


qm = 0.88 kg/cm



2 e = 2.27 cmS ' = Az^.5 - ( t - b )

2 S = 243.42 cme = Ms Tomar S = 245.00 cm PsS = S' + 2*e Lvb = 97.5 cm Lvt y Lvb debenLvb =Lvt = S - b Dimens. Lvt = 97.5 cm ser iguales (Lvb=Lvt)



hc = 60.00 cm

DATOS DEL SAP2000

S


59477.27


h t1 =

DATOS DEL SAP2000h t2 =

b

t

ZAPATA "Z2" ENTRE EJES A-A Y 4-4,6-6,8-8 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


e < T / 6 q 1, 2 = Ps * 1 6*e = qm OK ! S*T T

T / 6 = 42.5 cm > e =

q 1 = 0.88 kg/cm = qm =q 2 = 0.79 kg/cm = qm =






Por Punzonamiento:


Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.10 * f 'c^.5 * bo * d c



95802.3281431.97 18148.16 OK !!kg

OK !!

12.84 cm

0.09

18148.16

1.59

0.88 kg/cm OK !!

2.27 cm

0.88 kg/cm

d/2

d/2

m = t+d

n =

b+

d

t

b

T

S


Ps= PD+PL= 52340 Kg

-

n

qm = 0.88 kg/m

m - = Kg

m = 110.91 cmn = 100.91 cm

Vu = kg

c = 1.2bo = 423.65 cm





qmu





USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

22.45

22.45


1.0267

1.597.50

1851579.84245.0050.91

10.182510.69

58703.99

450094.57

1851579.84

382580.38 58703.99 kg OK !!

97.50



Espaciam. = cm

USAR 12 5/8" @ 20 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 13 5/8" @ 19 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm < 90.00 cm OK !!Lv1 =

8.500.001.277.50

12.43

1.00

As mn OK !!

1.981.597.50

12.4913

19.87

1.001.000.80

cm

11.3412

20.76

ZAPATA "Z1" ENTRE EJES A-A Y 9-9 (AULAS)





Suelo 21.72 4.15 25.87Df = 1.5 m Mm Mv Ms

t1 = 1.7 kg/m 0.32 0.68 1 t2 = 1.7 kg/m Tqa = 1.050 kg/cm

OtrosS/C = 300 kg/m

Ps = 25.87 TnPu (envol) = 37.73 Tn


T


ld = 0.08 * b * Fy b ( 3/4" ) = 1.905 cm f 'c^.5 ld = 44.17 cm



ht = 60.00 cm


qm = 0.88 kg/cm



2 e = 3.87 cmS ' = Az^.5 - ( t - b )

2 S = 174.2 cme = Ms Tomar S = 200.00 cm PsS = S' + 2*e Lvb = 75 cm Lvt y Lvb debenLvb =Lvt = S - b Dimens. Lvt = 75 cm ser iguales (Lvb=Lvt)



hc = 60.00 cm

DATOS DEL SAP2000

S


29397.73


h t1 =


b

t

ZAPATA "Z1" ENTRE EJES A-A Y 9-9 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


e < T / 6 q 1, 2 = Ps * 1 6*e = qm OK ! S*T T

T / 6 = 35 cm > e =

q 1 = 0.68 kg/cm = qm =q 2 = 0.55 kg/cm = qm =






Por Punzonamiento:


Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.10 * f 'c^.5 * bo * d c



78205.9866475.08 4913.85 OK !!kg

OK !!

4.77 cm

0.08

4913.85

1.02

0.88 kg/cm OK !!

3.87 cm

0.88 kg/cm

d/2

d/2

m = t+d

n =

b+

d

t

b

T

S


Ps= PD+PL= 25870 Kg

-

n

qm = 0.88 kg/m

m - = Kg

m = 110.91 cmn = 100.91 cm

Vu = kg

c = 1.2bo = 423.65 cm





qmu





USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

18.33

18.33


0.3894

1.597.50

573750200.0050.91

10.18253.31

26313.69

450094.57

573750

382580.38 26313.69 kg OK !!

75.00



Espaciam. = cm

USAR 10 5/8" @ 20 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 11 5/8" @ 19 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm < 67.50 cm OK !!Lv1 =

8.500.001.277.50

12.43

1.00

As mn OK !!

1.981.597.50

10.511

19.34

1.001.000.80

cm

9.2610

20.38

ZAPATA "Z5" ENTRE EJES B1 Y 5-5,7-7,9-9,3-3 (AULAS)





Suelo 8.95 2 10.95Df = 1.5 m Mm Mv Ms


OtrosS/C = 300 kg/m

Ps = 10.95 TnPu (envol) = 25.39 Tn


T


ld = 0.08 * b * Fy b ( 3/4" ) = 1.905 cm f 'c^.5 ld = 44.17 cm



ht = 60.00 cm


qm = 0.88 kg/cm



2 e = 4.77 cmS ' = Az^.5 - ( t - b )




hc = 60.00 cm

DATOS DEL SAP2000

S


12443.18


h t1 =


b

t

ZAPATA "Z5" ENTRE EJES B1 Y 5-5,7-7,9-9,3-3 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


e < T / 6 q 1, 2 = Ps * 1 6*e = qm OK ! S*T T

T / 6 = 25 cm > e =

q 1 = 0.58 kg/cm = qm =q 2 = 0.39 kg/cm = qm =






Por Punzonamiento:


Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.10 * f 'c^.5 * bo * d c



58654.4849856.31 2572.43 OK !!kg

OK !!

7.88 cm

0.08

2572.43

1.48

0.88 kg/cm OK !!

4.77 cm

0.88 kg/cm

d/2

d/2

m = t+d

n =

b+

d

t

b

T

S


Ps= PD+PL= 10950 Kg

-

n

qm = 0.88 kg/m

m - = Kg

m = 75.91 cmn = 75.91 cm

Vu = kg

c = 1bo = 303.65 cm





qmu





USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

13.75

13.75


0.3922

1.597.50

433593.75150.0050.91

10.18252.5

16861.19

362929.58

433593.75

308490.14 16861.19 kg OK !!

62.50



Espaciam. = cm

USAR 7 5/8" @ 20 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 7 5/8" @ 20 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm < 55.00 cm OK !!Lv1 =

8.500.001.277.50

12.43

1.00

As mn OK !!

1.981.597.50

77

22.24

1.001.000.80

cm

6.957

22.24

ZAPATA "Z3" ENTRE EJES A-A Y 2-2 (ENTRE AULAS Y CAJA DE ESCALERAS)





Suelo 41.05 7.45 48.5Df = 1.5 m Mm Mv Ms

t1 = 1.7 kg/m 1.5 1.5 3 t2 = 1.7 kg/m Tqa = 1.050 kg/cm

OtrosS/C = 300 kg/m

Ps = 48.50 TnPu (envol) = 102.69 Tn


T


ld = 0.08 * b * Fy b ( 3/4" ) = 1.905 cm f 'c^.5 ld = 44.17 cm



ht = 60.00 cm


qm = 0.88 kg/cm



2 e = 6.19 cmS ' = Az^.5 - ( t - b )





h t1 =


hc = 60.00 cm

DATOS DEL SAP2000

S


55113.64

b

t

ZAPATA "Z3" ENTRE EJES A-A Y 2-2 (ENTRE AULAS Y CAJA DE ESCALERAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


e < T / 6 q 1, 2 = Ps * 1 6*e = qm OK ! S*T T

T / 6 = 45.83 cm > e =

q 1 = 0.85 kg/cm = qm =q 2 = 0.65 kg/cm = qm =






Por Punzonamiento:


Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.10 * f 'c^.5 * bo * d c



OK !!

6.19 cm

0.88 kg/cmOK !!

16.70 cm

0.1

21207.55

2.17

0.88 kg/cm

91892.0278108.22 21207.55 OK !!kg

d/2

d/2

m = t+d

n =

b+

d

t

b

T

S


Ps= PD+PL= 48500 Kg

-

n

qm = 0.88 kg/m

m - = Kg

m = 140.91 cmn = 100.91 cm

Vu = kg

c = 1.8bo = 483.65 cm





qmu





USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

2181629.84

345771.38 71832.96 kg OK !!

92.50

71832.96

406789.86

2181629.84235.0050.91

10.182512.6

21.54

21.54


1.2616

1.597.50



Espaciam. = cm

USAR 11 5/8" @ 21 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 13 5/8" @ 21 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm As mn OK !!




USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

12.83

12.83


0.4555

1.597.50

469818.13140.0050.91

10.18252.71

21928.12

272919.3

469818.13

231981.41 21928.12 kg OK !!

57.50

ZAPATA "Z4" ENTRE EJES B-B Y 1-1 ,B-B Y 2-2 DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


Espaciam. = cm

USAR 7 5/8" @ 20 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 9 5/8" @ 19 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm < 50.00 cm OK !!Lv1 =

8.500.001.277.50

12.43

1.00

As mn OK !!

1.981.597.50

8.759

19.8

1.001.000.80

cm

6.487

20.57

ZAPATA "Z4" ENTRE EJES A-A Y 1-1





Suelo 16.76 3.15 19.91Df = 1.5 m Mm Mv Ms

t1 = 1.7 kg/m 1 1 2 t2 = 1.7 kg/m Tqa = 1.050 kg/cm

OtrosS/C = 300 kg/m

Ps = 19.91 TnPu (envol) = 34.47 Tn


T


ld = 0.08 * b * Fy b ( 3/4" ) = 1.905 cm f 'c^.5 ld = 44.17 cm



ht = 60.00 cm


qm = 0.88 kg/cm



2 e = 10.05 cmS ' = Az^.5 - ( t - b )





h t1 =


hc = 60.00 cm

DATOS DEL SAP2000

S


22625

b

t

ZAPATA "Z4" ENTRE EJES A-A Y 1-1DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA


e < T / 6 q 1, 2 = Ps * 1 6*e = qm OK ! S*T T

T / 6 = 32.5 cm > e =

q 1 = 0.84 kg/cm = qm =q 2 = 0.44 kg/cm = qm =






Por Punzonamiento:


Vc = 0.27 * 2 + 4 * f 'c^.5 * bo * d = 1.10 * f 'c^.5 * bo * d c



OK !!

10.05 cm

0.88 kg/cmOK !!

7.22 cm

0.09

3582.9

1.35

0.88 kg/cm

62564.7853180.06 3582.9 OK !!kg

d/2

d/2

m = t+d

n =

b+

d

t

b

T

S


Ps= PD+PL= 19910 Kg

-

n

qm = 0.88 kg/m

m - = Kg

m = 110.91 cmn = 75.91 cm

Vu = kg

c = 2.4bo = 373.65 cm





qmu





USAR As mn = cm

As req = cm

As >Ab ( 5/8" ) = cm

b ( 5/8" ) = cmr.e = cm

492075

231981.41 23103.48 kg OK !!

67.50

23103.48

272919.3

492075160.0050.91

10.18252.84

14.66

14.66


0.4176

1.597.50



Espaciam. = cm

USAR 8 5/8" @ 20 cm

Direccin Menor:




Ab b ( 5/8" ) = cmr.e = cm



Espaciam. = cm

USAR 10 5/8" @ 19 cm

=ld = b * fy * < Lv1 = 3.54 * f 'c^.5 * C + Kr =

b =C =

Lv1 = Lv - r.e Kr =b (5/8") =

r.e = cm


ld = 12.43 cm

Zapatas Aulas Pabellon i - Ie n

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Transcript of Zapatas Aulas Pabellon i - Ie n