Zapatas Aulas Pabellon i - Ie n
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Transcript of Zapatas Aulas Pabellon i - Ie n
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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
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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
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ZAPATA "Z1" ENTRE EJES C-C Y 9-9 (AULAS) DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
Ps= PD+PL= 13340 Kg
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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
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ZAPATA "Z1" ENTRE EJES C-C Y 9-9 (AULAS) DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# 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 !!
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
19.7
19.7
As mn As req = As mn !!1.98
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
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ZAPATA "Z2" ENTRE EJES C-C Y4-4,6-6,8-8 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 10 5/8" @ 22 cm
Direccin Menor:
As tranv = As * T As trv. = 20.71 cm S USAR As trv. = 20.71
As mn = 0.0018 * S * d As mn = 19.7 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 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 = cm Longitud de desarrollo en traccin
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
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ZAPATA "Z2" ENTRE EJES A-A Y 4-4,6-6,8-8 (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 41.6 10.74 52.34Df = 1.5 m Mm Mv Ms
t1 = 1.7 kg/m 0.59 0.6 1.19 t2 = 1.7 kg/m Tqa = 1.050 kg/cm
OtrosS/C = 300 kg/m
Ps = 52.34 TnPu (envol) = 76.50 Tn
Ms = 1.19 Tn - mMu (envol)= 9.82 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 ' = 248.88 cmT ' = Az^.5 + ( t - b ) S ' = 238.88 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)
2 Reales T = 255.00 cmT = 2*m + t Tomar T = 255.00 cm
USAR S x T = 245X255 cm
hc = 60.00 cm
DATOS DEL SAP2000
S
qm = qa - t1*h t1 - t2*h t2 - c*hc - s/c
59477.27
DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
h t1 =
DATOS DEL SAP2000h t2 =
b
t
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ZAPATA "Z2" ENTRE EJES A-A Y 4-4,6-6,8-8 (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 = 42.5 cm > e =
q 1 = 0.88 kg/cm = qm =q 2 = 0.79 kg/cm = qm =
2.- DETERMINACIN DE LA REACCIN AMPLIFICADA ( qmu )e = Mu e = 12.84 cm Pu T / 6 = 42.50 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 = 1.59 kg/cm
3.- VERIFICACION POR CORTE ( = 0.85 )Por Flexin: d
Lv = ( T - t ) / 2 Lv = 97.50 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 !
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
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ZAPATA "Z2" ENTRE EJES A-A Y 4-4,6-6,8-8 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
Ps= PD+PL= 52340 Kg
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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
22.45
22.45
As mn As req = As mn !!1.98
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
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ZAPATA "Z2" ENTRE EJES A-A Y 4-4,6-6,8-8 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 12 5/8" @ 20 cm
Direccin Menor:
As tranv = As * T As trv. = 24.72 cm S USAR As trv. = 24.72
As mn = 0.0018 * S * d As mn = 22.45 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 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 = cm Longitud de desarrollo en traccin
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
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ZAPATA "Z1" ENTRE EJES A-A 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 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
Ms = 1.00 Tn - mMu (envol)= 1.80 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 ' = 176.46 cmT ' = Az^.5 + ( t - b ) S ' = 166.46 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)
2 Reales T = 210.00 cmT = 2*m + t Tomar T = 210.00 cm
USAR S x T = 200X210 cm
hc = 60.00 cm
DATOS DEL SAP2000
S
qm = qa - t1*h t1 - t2*h t2 - c*hc - s/c
29397.73
DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
h t1 =
DATOS DEL SAP2000h t2 =
b
t
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ZAPATA "Z1" ENTRE EJES A-A 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 = 35 cm > e =
q 1 = 0.68 kg/cm = qm =q 2 = 0.55 kg/cm = qm =
2.- DETERMINACIN DE LA REACCIN AMPLIFICADA ( qmu )e = Mu e = 4.77 cm Pu T / 6 = 35.00 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 = 1.02 kg/cm
3.- VERIFICACION POR CORTE ( = 0.85 )Por Flexin: d
Lv = ( T - t ) / 2 Lv = 75.00 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 !
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
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ZAPATA "Z1" ENTRE EJES A-A Y 9-9 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
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
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
18.33
18.33
As mn As req = As mn !!1.98
0.3894
1.597.50
573750200.0050.91
10.18253.31
26313.69
450094.57
573750
382580.38 26313.69 kg OK !!
75.00
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ZAPATA "Z1" ENTRE EJES A-A Y 9-9 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 10 5/8" @ 20 cm
Direccin Menor:
As tranv = As * T As trv. = 20.78 cm S USAR As trv. = 20.78
As mn = 0.0018 * S * d As mn = 18.33 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 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 = cm Longitud de desarrollo en traccin
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
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ZAPATA "Z5" ENTRE EJES B1 Y 5-5,7-7,9-9,3-3 (AULAS)
DATOS: MD,MLZapata PD, PL
f ' c = 210 kg/cmColumna s/c = 300.00 kg/m
f ' c = 210 kg/cmb = 25 cm t1 45.00 cmt = 25 cm
Acero Df = 1.50 mf y = 4200 kg/cm Pm Pv Ps t2 45.00 cm
Suelo 8.95 2 10.95Df = 1.5 m Mm Mv Ms
t1 = 1.7 kg/m 0.5 0.022 0.522 t2 = 1.7 kg/m Tqa = 1.050 kg/cm
OtrosS/C = 300 kg/m
Ps = 10.95 TnPu (envol) = 25.39 Tn
Ms = 0.52 Tn - mMu (envol)= 2.00 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 ' = 111.55 cmT ' = Az^.5 + ( t - b ) S ' = 111.55 cm
2 e = 4.77 cmS ' = Az^.5 - ( t - b )
2 S = 121.09 cme = Ms Tomar S = 150.00 cm PsS = S' + 2*e Lvb = 62.5 cm Lvt y Lvb debenLvb =Lvt = S - b Dimens. Lvt = 62.5 cm ser iguales (Lvb=Lvt)
2 Reales T = 150.00 cmT = 2*m + t Tomar T = 150.00 cm
USAR S x T = 150X150 cm
hc = 60.00 cm
DATOS DEL SAP2000
S
qm = qa - t1*h t1 - t2*h t2 - c*hc - s/c
12443.18
DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
h t1 =
DATOS DEL SAP2000h t2 =
b
t
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ZAPATA "Z5" ENTRE EJES B1 Y 5-5,7-7,9-9,3-3 (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 = 25 cm > e =
q 1 = 0.58 kg/cm = qm =q 2 = 0.39 kg/cm = qm =
2.- DETERMINACIN DE LA REACCIN AMPLIFICADA ( qmu )e = Mu e = 7.88 cm Pu T / 6 = 25.00 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 = 1.48 kg/cm
3.- VERIFICACION POR CORTE ( = 0.85 )Por Flexin: d
Lv = ( T - t ) / 2 Lv = 62.50 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 !
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
-
ZAPATA "Z5" ENTRE EJES B1 Y 5-5,7-7,9-9,3-3 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
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
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
13.75
13.75
As mn As req = As mn !!1.98
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
-
ZAPATA "Z5" ENTRE EJES B1 Y 5-5,7-7,9-9,3-3 (AULAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 7 5/8" @ 20 cm
Direccin Menor:
As tranv = As * T As trv. = 13.86 cm S USAR As trv. = 13.86
As mn = 0.0018 * S * d As mn = 13.75 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 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 = cm Longitud de desarrollo en traccin
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)
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 = 90 cm
Acero Df = 1.50 mf y = 4200 kg/cm Pm Pv Ps t2 45.00 cm
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
Ms = 3.00 Tn - mMu (envol)= 17.15 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 ' = 254.76 cmT ' = Az^.5 + ( t - b ) S ' = 214.76 cm
2 e = 6.19 cmS ' = Az^.5 - ( t - b )
2 S = 227.14 cme = Ms Tomar S = 235.00 cm PsS = S' + 2*e Lvb = 92.5 cm Lvt y Lvb debenLvb =Lvt = S - b Dimens. Lvt = 92.5 cm ser iguales (Lvb=Lvt)
2 Reales T = 275.00 cmT = 2*m + t Tomar T = 275.00 cm
USAR S x T = 235X275 cm
DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
h t1 =
DATOS DEL SAP2000h t2 =
hc = 60.00 cm
DATOS DEL SAP2000
S
qm = qa - t1*h t1 - t2*h t2 - c*hc - s/c
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
Verificacin de las presiones ( q 1,2 )
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 =
2.- DETERMINACIN DE LA REACCIN AMPLIFICADA ( qmu )e = Mu e = 16.70 cm Pu T / 6 = 45.83 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 = 2.17 kg/cm
3.- VERIFICACION POR CORTE ( = 0.85 )Por Flexin: d
Lv = ( T - t ) / 2 Lv = 92.50 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 !
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
-
ZAPATA "Z3" ENTRE EJES A-A Y 2-2 (ENTRE AULAS Y CAJA DE ESCALERAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
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
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
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
As mn As req = As mn !!1.98
1.2616
1.597.50
-
ZAPATA "Z3" ENTRE EJES A-A Y 2-2 (ENTRE AULAS Y CAJA DE ESCALERAS)DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 11 5/8" @ 21 cm
Direccin Menor:
As tranv = As * T As trv. = 25.48 cm S USAR As trv. = 25.48
As mn = 0.0018 * S * d As mn = 21.54 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 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 = cm Longitud de desarrollo en traccin
ld = 12.43 cm 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
12.83
12.83
As mn As req = As mn !!1.98
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
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 7 5/8" @ 20 cm
Direccin Menor:
As tranv = As * T As trv. = 17.32 cm S USAR As trv. = 17.32
As mn = 0.0018 * S * d As mn = 12.83 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 < 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
DATOS: MD,MLZapata PD, PL
f ' c = 210 kg/cmColumna s/c = 300.00 kg/m
f ' c = 210 kg/cmb = 25 cm t1 45.00 cmt = 60 cm
Acero Df = 1.50 mf y = 4200 kg/cm Pm Pv Ps t2 45.00 cm
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
Ms = 2.00 Tn - mMu (envol)= 2.49 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 ' = 167.92 cmT ' = Az^.5 + ( t - b ) S ' = 132.92 cm
2 e = 10.05 cmS ' = Az^.5 - ( t - b )
2 S = 153.02 cme = Ms Tomar S = 160.00 cm PsS = S' + 2*e Lvb = 67.5 cm Lvt y Lvb debenLvb =Lvt = S - b Dimens. Lvt = 67.5 cm ser iguales (Lvb=Lvt)
2 Reales T = 195.00 cmT = 2*m + t Tomar T = 195.00 cm
USAR S x T = 160X195 cm
DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
h t1 =
DATOS DEL SAP2000h t2 =
hc = 60.00 cm
DATOS DEL SAP2000
S
qm = qa - t1*h t1 - t2*h t2 - c*hc - s/c
22625
b
t
-
ZAPATA "Z4" ENTRE EJES A-A Y 1-1DISEO 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 = 32.5 cm > e =
q 1 = 0.84 kg/cm = qm =q 2 = 0.44 kg/cm = qm =
2.- DETERMINACIN DE LA REACCIN AMPLIFICADA ( qmu )e = Mu e = 7.22 cm Pu T / 6 = 32.50 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 = 1.35 kg/cm
3.- VERIFICACION POR CORTE ( = 0.85 )Por Flexin: d
Lv = ( T - t ) / 2 Lv = 67.50 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 !
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
-
ZAPATA "Z4" ENTRE EJES A-A Y 1-1DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
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
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
492075
231981.41 23103.48 kg OK !!
67.50
23103.48
272919.3
492075160.0050.91
10.18252.84
14.66
14.66
As mn As req = As mn !!1.98
0.4176
1.597.50
-
ZAPATA "Z4" ENTRE EJES A-A Y 1-1DISEO DE ZAPATA AISLADA EXCENTRICA CON CARGA CENTRADA
# Varilla ( n ) = Varillas# Varilla ( n ) = Varillas
Espaciam. = cm
USAR 8 5/8" @ 20 cm
Direccin Menor:
As tranv = As * T As trv. = 19.3 cm S USAR As trv. = 19.3
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 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 = cm Longitud de desarrollo en traccin
ld = 12.43 cm