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PROYECTO:
1. RESULTADOS DEL ANALISIS ESTRUCTURAL
REACCIONES EN LOS APOYOS DE ZAPATAS
Joint CASOS F3(P) M1(X) M2(Y)
Text Text Tonf Tonf-m Tonf-m
1771 MUERTA -9.178 -0.5290 0.04780
1771 VIVA -1.143 -2.0330 0.1510
1771 SISMO X 0.00514 0.00232 0.0775
1771 SISMO Y 0.00988 0.00890 0.0031
2. PREDIMENSIONAMIENTO:
2.1. PREDIMENSIONAMIENTO SIN EFECTO DE SISMO
Resist. del Terreno: 3.27 kg/cm2
32.7 ton/m2
COLUMNA
A = 0.196 m2
CARGAS
PD= 9.178 ton
PL= 1.143 ton
P= 10.321 ton
pp= 0.51605 (PS*0.05) se considera el 5% debido al peso de la zapata
0.33 m2
L= 2.00 m
B= 1.20 m (ASUMIDO)
2.2. PREDIMENSIONAMIENTO POR EFECTO DE SISMO
σsismo= 4.251 kg/cm2 se aumenta el 30% ante cargas eventuales como el sismo
42.51 ton/m2
castigamos por efectos de momentos
25.506 ton/m2
p= 10.321 ton
0.42 m2
L = 2.00 m
B = 1.20 m (ASUMIDO)
ENTONCES DIMENSION DE ZAPATA
L = 2.00 m
B = 1.20 m Peralte: t= 0.50 m
REACCIONES EN LOS APOYOS DE ZAPATAS 2 1
Joint CASOS F3(P) M1(X) M2(Y) PP
Text Text Tonf Tonf-m Tonf-m Tonf Y
1771 MUERTA -9.18 -0.53 0.05 -2.88
1771 VIVA -1.14 -2.03 0.15 -2.88 2.00
1771 SISMO X 0.01 0.00 0.08 -2.88 X
1771 SISMO -X -0.01 0.00 -0.08 -2.88
1771 SISMO Y 0.01 0.01 0.00 -2.88
1771 SISMO -Y -0.01 -0.01 0.00 -2.88
3 1.20 4
2.2.1. VERIFICACIONES:
Con Carga Viva y Carga Muerta
AREA Ix Iy P Mx My
2.40 0.8000 0.288 -13.20 -2.56 0.20
PUNTO X(m) Y(m) σ(TN/M2)
PUNTO 1 1 0.6 -8.1
PUNTO 2 1 -0.6 -4.3
PUNTO 3 -1 -0.6 -2.9
PUNTO 4 -1 0.6 -6.7
Con Carga Viva, Carga Muerta y Sismo en X
AREA Ix Iy P Mx My
2.4 0.8000 0.288 -13.20 -2.55968 0.2763
DISEÑO DE ZAPATA AISLADA 2.00X1.20 M
"CREACION DE POLIDEPORTIVO EN LA LOCALIDAD DE VILLAFLORES DEL DISTRITO DE CANCHABAMBA - PROVINCIA DE HUACAYBAMBA -
DEPARTAMENTO DE HUANUCO"
σ=
𝑃+𝑃𝑃
𝐴
A=
𝑃+𝑃𝑃
σ
=
A=
𝑃+𝑃𝑃
σ𝑠𝑖𝑠𝑚𝑜 0.6
=
σ𝑠𝑖𝑠𝑚𝑜 0.6=
𝜎 =
𝑃
𝐴
+
𝑀𝑥𝑌
𝐼𝑥
−
𝑀𝑦𝑋
𝐼𝑦
PUNTO X(m) Y(m) σ(TN/M2)
PUNTO 1 1 0.6 -8.4
PUNTO 2 1 -0.6 -4.5
PUNTO 3 -1 -0.6 -2.6
PUNTO 4 -1 0.6 -6.5
Con Carga Viva, Carga Muerta y Sismo en -X
AREA Ix Iy P Mx My
2.4 0.8 0.288 -13.20614 -2.56432 0.1213
PUNTO X(m) Y(m) σ(TN/M2)
PUNTO 1 1 0.6 -7.8
PUNTO 2 1 -0.6 -4.0
PUNTO 3 -1 -0.6 -3.2
PUNTO 4 -1 0.6 -7.0
Con Carga Viva, Carga Muerta y Sismo en Y
AREA Ix Iy P Mx My
2.4 0.8 0.288 -13.19112 -2.5531 0.2019
PUNTO X(m) Y(m) σ(TN/M2)
PUNTO 1 1 0.6 -8.1
PUNTO 2 1 -0.6 -4.3
PUNTO 3 -1 -0.6 -2.9
PUNTO 4 -1 0.6 -6.7
Con Carga Viva, Carga Muerta y Sismo en -Y
AREA Ix Iy P Mx My
2.4 0.8 0.288 -13.21088 -2.5709 0.1957
PUNTO X(m) Y(m) σ(TN/M2)
PUNTO 1 1 0.6 -8.1
PUNTO 2 1 -0.6 -4.3
PUNTO 3 -1 -0.6 -2.9
PUNTO 4 -1 0.6 -6.8
3. DISEÑO POR RESISTENCIA:
REACCIONES EN LOS APOYOS DE ZAPATAS
Joint CASOS F3(P) M1(X) M2(Y) PP
Text Text Tonf Tonf-m Tonf-m Tonf
1771 MUERTA -9.178 -0.529 0.0478 -2.88
1771 VIVA -1.143 -2.033 0.151 -2.88
1771 SISMO X 0.00514 0.00232 0.0775 -2.88
1771 SISMO -X -0.00514 -0.00232 -0.0775 -2.88
1771 SISMO Y 0.00988 0.0089 0.0031 -2.88
1771 SISMO -Y -0.00988 -0.0089 -0.0031 -2.88
AREA Ix Iy PUNTO X(m) Y(m)
2.4 0.8 0.288 PUNTO 1 1 0.6
PUNTO 2 1 -0.6
PUNTO 3 -1 -0.6
PUNTO 4 -1 0.6
F3(P) M1(X) M2(Y) σ(Tn/m2)
Tonf Tonf-m Tonf-m PUNTO 1 PUNTO 2 PUNTO 3 PUNTO 4
-18.8243 -4.1967 0.32362 -12.11466389 -5.8196139 -3.5722528 -9.8673028
-16.49611 -3.20018 0.326 -10.40545861 -5.6051886 -3.3412997 -8.1415697
-16.50639 -3.20482 0.171 -9.8750275 -5.0677975 -3.8802975 -8.6875275
-10.84706 -0.47378 0.12052 -5.293415556 -4.5827456 -3.7458011 -4.4564711
-10.85734 -0.47842 -0.03448 -4.762984444 -4.0453544 -4.2847989 -5.0024289
-16.49137 -3.1936 0.2516 -10.14021528 -5.3498153 -3.6025931 -8.3929931
-16.51113 -3.2114 0.2454 -10.14027083 -5.3231708 -3.6190042 -8.4361042
-10.84232 -0.4672 0.04612 -5.028172222 -4.3273722 -4.0070944 -4.7078944
-10.86208 -0.485 0.03992 -5.028227778 -4.3007278 -4.0235056 -4.7510056
0.9CM-CSx
0.9CM+CSy
0.9CM-CSy
COMBINACIONES
1.4CM+1.7CV
1.25(CM+CV)+CSx
1.25(CM+CV)-CSx
1.25(CM+CV)+CSy
1.25(CM+CV)-CSy
0.9CM+CSx
𝜎 =
𝑃
𝐴
+
𝑀𝑥𝑌
𝐼𝑥
−
𝑀𝑦𝑋
𝐼𝑦
DATOS:
L: 2.00 m Longitud de la zapata
B: 1.20 m Ancho de la zapata
h: 0.50 m peralte
d: 0.40 m peralte efectivo
At: 2.4 m2 Area total
Ao: 0.16 m2 Area de la sección crítica de carga
σu: 12.11 Tn/m2 Esf. Ultimo
𝛽: 1.45 Relacion de Lados
Fc: 210 Kg/m2 Esf. Compresion del concreto
Fy: 4200 Kg/m2 Esf. Fluencia del acero
bo: 1.60 m Perimetro de la sección crítica de carga
⍺s: 40 Para columnas interiores
ϕ: 0.85 Para cortante
ϕ: 0.90 Para flexion
As(ϕ=5/8"): 1.99 cm2 Area del acero
S: 0.40 m Separacion Maxima del acero
3.1 POR PUNZONAMIENTO:
Vc= 27.14 Tn
a)
Vc= 116767.886 Kg.
Vc= 116.768 Tn
b)
Vc= 300493.2 Kg.
Vc= 300.493 Tn
c)
Vc= 98309.500 Kg.
Vc= 98.309 Tn
Elegimos el menor y comparamos:
øVc= 83.563 Tn ….. OK
3.2. POR CORTE análisis en el mayor volado
Cortante Actuante 1.20
Va= 3.63 Tn
0.25
Cortante Resistente:
VR= 31336.15 Kg 0.40
VR= 31.34 Tn
Verificando:
…. OK
3.3. POR FLEXION:
Mu= 3.07 Tn-m
a= 8 cm
As = 1.77 cm2 0.65
As mín= 8.64 cm2 Usar acero mínimo
Nº acero: 5 0.50
S= 0.24 m como Smax = 0.40m
entonces usamos: ø 5/8" @ 20.00 (ASUMIDO)
en las dos direcciones 14.5 Tn/m
𝐴𝑠 =
𝑀𝑢
∅𝑓
𝑦(𝑑 −
𝑎
2)
𝑉
𝑎 = 𝜎𝑢 á𝑟𝑒𝑎 𝑎𝑐ℎ𝑢𝑟𝑎𝑑𝑎
𝑉𝑅 = ∅0.53 𝑓′𝑐𝑑𝐵
𝑀𝑢 =
𝜎𝑢𝐵(𝑋)2
2
𝐴𝑠 𝑚í𝑛 = 𝜌𝑚í𝑛𝐵𝑑
𝜌𝑚í𝑛 = 0.0018

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Diseod~2

  • 1. PROYECTO: 1. RESULTADOS DEL ANALISIS ESTRUCTURAL REACCIONES EN LOS APOYOS DE ZAPATAS Joint CASOS F3(P) M1(X) M2(Y) Text Text Tonf Tonf-m Tonf-m 1771 MUERTA -9.178 -0.5290 0.04780 1771 VIVA -1.143 -2.0330 0.1510 1771 SISMO X 0.00514 0.00232 0.0775 1771 SISMO Y 0.00988 0.00890 0.0031 2. PREDIMENSIONAMIENTO: 2.1. PREDIMENSIONAMIENTO SIN EFECTO DE SISMO Resist. del Terreno: 3.27 kg/cm2 32.7 ton/m2 COLUMNA A = 0.196 m2 CARGAS PD= 9.178 ton PL= 1.143 ton P= 10.321 ton pp= 0.51605 (PS*0.05) se considera el 5% debido al peso de la zapata 0.33 m2 L= 2.00 m B= 1.20 m (ASUMIDO) 2.2. PREDIMENSIONAMIENTO POR EFECTO DE SISMO σsismo= 4.251 kg/cm2 se aumenta el 30% ante cargas eventuales como el sismo 42.51 ton/m2 castigamos por efectos de momentos 25.506 ton/m2 p= 10.321 ton 0.42 m2 L = 2.00 m B = 1.20 m (ASUMIDO) ENTONCES DIMENSION DE ZAPATA L = 2.00 m B = 1.20 m Peralte: t= 0.50 m REACCIONES EN LOS APOYOS DE ZAPATAS 2 1 Joint CASOS F3(P) M1(X) M2(Y) PP Text Text Tonf Tonf-m Tonf-m Tonf Y 1771 MUERTA -9.18 -0.53 0.05 -2.88 1771 VIVA -1.14 -2.03 0.15 -2.88 2.00 1771 SISMO X 0.01 0.00 0.08 -2.88 X 1771 SISMO -X -0.01 0.00 -0.08 -2.88 1771 SISMO Y 0.01 0.01 0.00 -2.88 1771 SISMO -Y -0.01 -0.01 0.00 -2.88 3 1.20 4 2.2.1. VERIFICACIONES: Con Carga Viva y Carga Muerta AREA Ix Iy P Mx My 2.40 0.8000 0.288 -13.20 -2.56 0.20 PUNTO X(m) Y(m) σ(TN/M2) PUNTO 1 1 0.6 -8.1 PUNTO 2 1 -0.6 -4.3 PUNTO 3 -1 -0.6 -2.9 PUNTO 4 -1 0.6 -6.7 Con Carga Viva, Carga Muerta y Sismo en X AREA Ix Iy P Mx My 2.4 0.8000 0.288 -13.20 -2.55968 0.2763 DISEÑO DE ZAPATA AISLADA 2.00X1.20 M "CREACION DE POLIDEPORTIVO EN LA LOCALIDAD DE VILLAFLORES DEL DISTRITO DE CANCHABAMBA - PROVINCIA DE HUACAYBAMBA - DEPARTAMENTO DE HUANUCO" σ= 𝑃+𝑃𝑃 𝐴 A= 𝑃+𝑃𝑃 σ = A= 𝑃+𝑃𝑃 σ𝑠𝑖𝑠𝑚𝑜 0.6 = σ𝑠𝑖𝑠𝑚𝑜 0.6= 𝜎 = 𝑃 𝐴 + 𝑀𝑥𝑌 𝐼𝑥 − 𝑀𝑦𝑋 𝐼𝑦
  • 2. PUNTO X(m) Y(m) σ(TN/M2) PUNTO 1 1 0.6 -8.4 PUNTO 2 1 -0.6 -4.5 PUNTO 3 -1 -0.6 -2.6 PUNTO 4 -1 0.6 -6.5 Con Carga Viva, Carga Muerta y Sismo en -X AREA Ix Iy P Mx My 2.4 0.8 0.288 -13.20614 -2.56432 0.1213 PUNTO X(m) Y(m) σ(TN/M2) PUNTO 1 1 0.6 -7.8 PUNTO 2 1 -0.6 -4.0 PUNTO 3 -1 -0.6 -3.2 PUNTO 4 -1 0.6 -7.0 Con Carga Viva, Carga Muerta y Sismo en Y AREA Ix Iy P Mx My 2.4 0.8 0.288 -13.19112 -2.5531 0.2019 PUNTO X(m) Y(m) σ(TN/M2) PUNTO 1 1 0.6 -8.1 PUNTO 2 1 -0.6 -4.3 PUNTO 3 -1 -0.6 -2.9 PUNTO 4 -1 0.6 -6.7 Con Carga Viva, Carga Muerta y Sismo en -Y AREA Ix Iy P Mx My 2.4 0.8 0.288 -13.21088 -2.5709 0.1957 PUNTO X(m) Y(m) σ(TN/M2) PUNTO 1 1 0.6 -8.1 PUNTO 2 1 -0.6 -4.3 PUNTO 3 -1 -0.6 -2.9 PUNTO 4 -1 0.6 -6.8 3. DISEÑO POR RESISTENCIA: REACCIONES EN LOS APOYOS DE ZAPATAS Joint CASOS F3(P) M1(X) M2(Y) PP Text Text Tonf Tonf-m Tonf-m Tonf 1771 MUERTA -9.178 -0.529 0.0478 -2.88 1771 VIVA -1.143 -2.033 0.151 -2.88 1771 SISMO X 0.00514 0.00232 0.0775 -2.88 1771 SISMO -X -0.00514 -0.00232 -0.0775 -2.88 1771 SISMO Y 0.00988 0.0089 0.0031 -2.88 1771 SISMO -Y -0.00988 -0.0089 -0.0031 -2.88 AREA Ix Iy PUNTO X(m) Y(m) 2.4 0.8 0.288 PUNTO 1 1 0.6 PUNTO 2 1 -0.6 PUNTO 3 -1 -0.6 PUNTO 4 -1 0.6 F3(P) M1(X) M2(Y) σ(Tn/m2) Tonf Tonf-m Tonf-m PUNTO 1 PUNTO 2 PUNTO 3 PUNTO 4 -18.8243 -4.1967 0.32362 -12.11466389 -5.8196139 -3.5722528 -9.8673028 -16.49611 -3.20018 0.326 -10.40545861 -5.6051886 -3.3412997 -8.1415697 -16.50639 -3.20482 0.171 -9.8750275 -5.0677975 -3.8802975 -8.6875275 -10.84706 -0.47378 0.12052 -5.293415556 -4.5827456 -3.7458011 -4.4564711 -10.85734 -0.47842 -0.03448 -4.762984444 -4.0453544 -4.2847989 -5.0024289 -16.49137 -3.1936 0.2516 -10.14021528 -5.3498153 -3.6025931 -8.3929931 -16.51113 -3.2114 0.2454 -10.14027083 -5.3231708 -3.6190042 -8.4361042 -10.84232 -0.4672 0.04612 -5.028172222 -4.3273722 -4.0070944 -4.7078944 -10.86208 -0.485 0.03992 -5.028227778 -4.3007278 -4.0235056 -4.7510056 0.9CM-CSx 0.9CM+CSy 0.9CM-CSy COMBINACIONES 1.4CM+1.7CV 1.25(CM+CV)+CSx 1.25(CM+CV)-CSx 1.25(CM+CV)+CSy 1.25(CM+CV)-CSy 0.9CM+CSx 𝜎 = 𝑃 𝐴 + 𝑀𝑥𝑌 𝐼𝑥 − 𝑀𝑦𝑋 𝐼𝑦
  • 3. DATOS: L: 2.00 m Longitud de la zapata B: 1.20 m Ancho de la zapata h: 0.50 m peralte d: 0.40 m peralte efectivo At: 2.4 m2 Area total Ao: 0.16 m2 Area de la sección crítica de carga σu: 12.11 Tn/m2 Esf. Ultimo 𝛽: 1.45 Relacion de Lados Fc: 210 Kg/m2 Esf. Compresion del concreto Fy: 4200 Kg/m2 Esf. Fluencia del acero bo: 1.60 m Perimetro de la sección crítica de carga ⍺s: 40 Para columnas interiores ϕ: 0.85 Para cortante ϕ: 0.90 Para flexion As(ϕ=5/8"): 1.99 cm2 Area del acero S: 0.40 m Separacion Maxima del acero 3.1 POR PUNZONAMIENTO: Vc= 27.14 Tn a) Vc= 116767.886 Kg. Vc= 116.768 Tn b) Vc= 300493.2 Kg. Vc= 300.493 Tn c) Vc= 98309.500 Kg. Vc= 98.309 Tn Elegimos el menor y comparamos: øVc= 83.563 Tn ….. OK 3.2. POR CORTE análisis en el mayor volado Cortante Actuante 1.20 Va= 3.63 Tn 0.25 Cortante Resistente: VR= 31336.15 Kg 0.40 VR= 31.34 Tn Verificando: …. OK 3.3. POR FLEXION: Mu= 3.07 Tn-m a= 8 cm As = 1.77 cm2 0.65 As mín= 8.64 cm2 Usar acero mínimo Nº acero: 5 0.50 S= 0.24 m como Smax = 0.40m entonces usamos: ø 5/8" @ 20.00 (ASUMIDO) en las dos direcciones 14.5 Tn/m 𝐴𝑠 = 𝑀𝑢 ∅𝑓 𝑦(𝑑 − 𝑎 2) 𝑉 𝑎 = 𝜎𝑢 á𝑟𝑒𝑎 𝑎𝑐ℎ𝑢𝑟𝑎𝑑𝑎 𝑉𝑅 = ∅0.53 𝑓′𝑐𝑑𝐵 𝑀𝑢 = 𝜎𝑢𝐵(𝑋)2 2 𝐴𝑠 𝑚í𝑛 = 𝜌𝑚í𝑛𝐵𝑑 𝜌𝑚í𝑛 = 0.0018