DISEÑO DE ESTRUCTURA ESTRUCTURA DE CONCRETO ARMADO : CONCRETO ARMADO I : ING. ROQUE SANCHEZ CRISTOBAL
: RUFASTO CARRASCO JONATHAN : 2011002534
“TRABAJO ESCALONADO”
Lima – Peru Peru
2017
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
ÍNDICE
1. INTRODUCCIÓN 2. NORMAS UTILIZADAS UTILIZAD AS PARA EL DISEÑO DEL PROYECTO PROYEC TO 3. DATOS DE LA EDIFICACIÓN 4. PREDIMENSIONAMIENTO PREDIMENSIONAMIENTO DE LOS ELEMENTOS ESTRUCTURALES
LOSA ALIGERADA VIGAS COLUMNAS 5. METRADO DE CARGAS 6. ANÁLISIS DE FUERZAS Y DE MOMENTOS 7. DISEÑO DE VIGAS
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1.
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Introducción
El presente trabajo es aprender a dimensionar y diseñar los diferentes elementos estructurales de una edificación aporticada de concreto armado, resistente ante ca rgas gravitacionales y sísmicas. El Proyecto trata sobre el Diseño Estructural de una Edificación de Concreto Armado de 7 pisos destinado para oficinas ubicado en la Zona 3 (abarca la región sierra y algo de selva) y un suelo local tipo 2 (suelos intermedios). Para esto integramos los conocimientos adquiridos en análisis estructural y diseño de miembros de concreto armado conjuntamente con las Normas que están en el Reglamento Nacional de Edificaciones (RNE).
2.
Normas utilizadas para el Diseño del Proyecto
Las Normas que se utilizaran para la realización del proyecto se encuentran en el Reglamento Nacional de Edificaciones (RNE) y son las siguientes: Norma E.020 E.020 Cargas Norma E.030 E.030 Diseño Diseño Sis Sismo mo resistente Norma E.060 E.060 Diseño Diseño en Concreto Arma Armado do Norma E.070 E.070 Diseño Diseño en Alba Albañi ñile lerí ríaa
3.
Datos de la Edificación
Los datos que me fueron asignados para el diseño de la edificación ed ificación son los siguientes:
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
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4.
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Predimensionamiento de los Elementos Estructurales
A. Predimensionamiento de Losa Aligerada El sentido del aligerado será paralelo a la menor luz. Para el cálculo de la altura de la losa aligerada.
Utilizamos la siguiente fórmula y hallamos: h =
L 20
=
5.00 20.00
=
0 .2 5
Y según la Norma E.020 del RNE: Espesor de Peso Propio Espesor del losa superior Kpa aligerado (m) en metros (kgf/m2) 0.17 0.2 0.25 0.3
0.05 0.05 0.05 0.05
2, 8 (280) 3, 0 (300) 3, 5 (350) 4, 2 (420)
Donde:
PESO TOTAL DEL ALI GERADO POR M2 Descripción
Peso propio de la losa aligerada de espesor de 0.25cm Peso muerto de piso y cielo raso Peso de la tabiquerÍa TOTAL
Se concluye que el espesor de la losa es 0.25cm. B. Predimensionamiento de Vigas
Peso (kg/m ) 2
350 100 100 550
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CONCRETO CONC RETO ARMA ARMADO DO I
En este caso las vigas principales y secundarias tendrán las mismas dimensiones. Hallando:
h =
L 12
=
7.50 12.00
=
0.62 5
=
0 .3
Para este caso tomamos h = 0.60 cm. Luego hallando la base: b =
h 2
=
0.60 2
Finalmente las longitudes finales son:
Se concluye que las dimensiones de la viga son: h=0.60cm y b=0.30cm. B. Predimensionamiento de Columnas Se dimensionara con la columna con la carga crítica por gravedad, esto se generalizara a todas las columnas, porque las columnas periféricas serán gruesas para tomarlas cargas de sismo por volteo. El área de la columna en el nivel deseado, está dado por:
Ag
=
P 0.45 * f'c
Donde: Ag = Área bruta. P = Es la carga en su área tributaria y en el nivel ni vel correspondiente. correspondiente. Se tomara en cuenta toda la carga muerta muerta y un porcentaje de carga carga viva, en este caso se toma t oma el 25%
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
El área tributaria crítica es igual a: 2
7.00m x 5.25m = 36.75m
Sabiendo que el peso del aligerado es: 500 kg/m2 Luego hallando el Ag: CARGA MUERTA Tipo de Estructura Aligerado Alige rado Vig a Princip al Vig a Se cund aria Co lumna
Cargas (kg/m2) 550
Dimensiones (m) Largo 7.00
2400 2400 2400
7.00 5.25 0.50
Ancho 5.25
Altura ---
0.30 0.30 0.25 TOTAL
0.60 0.60 3.00
PESO (kg)
20212.50 3024.00 2268.00 900.00 26404.50
CARGA VIVA Sobrecarga según tipo de estructura
Cargas (kg/m2)
Ofic ina
250
Dimensiones (m) Largo
Ancho
Altura
7.00
5.25
---
TOTAL
28701.38
CARGA TOTAL EN 7 PISOS
28701.38 x 7 =
Reemplazando los datos en la fórmula:
9187.50
9187.50
CARGA TOTAL POR PISO CM + 25 % CV =
PESO (kg)
200909.6
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5.
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Metrado de Cargas
A. CARGA DE SISMO ANÁLISIS ESTATICO: Según la Norma E.030 Diseño Sismo Resistente, del Reglamento Nacional de Edificaciones. Los datos correspondientes conforme al número que se me asigno son los siguientes:
Hallando el Período Fundamental T=
hn Ct
=
21.00 35
=
Hallando el Factor de Ampliacion Sismico: C=
2.5 * Tp T
=
1.50 0.60
Luego hallando el peso de la edificación: CARGA MUERTA
0.60
C ≤ 2.50
=
2.50
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
CARGA CARGA VIVA VIV A Sobrecarga según tipo de estructura
Cargas (kg/m2)
Oficina
250
Dimensiones (m) Largo
Ancho
Altura
27. 50
15.50
---
Nivel
PESO (kg)
1. 00
106562. 50
TOTAL
106562.50
CARGA TOTAL POR PISO CM + 25 % CV =
360078.13
CARGA TOTAL EN 7 PISOS
28701.38 28701. 38 x 7 =
2520546.88
Y luego de todos los datos hallados procedemos procedemos al cálculo de la Cortante Basal: CORTANTE BASAL: V=
Z*U*C*S R
*P
Donde: Z U C S R P
= = = = = =
Factor Factor de Zona Zona Z Fact Factor or de uso uso U Factor Factor de Amplificaci Amplificación ón Sísmico Sísmico Parám Parámetr etroo de suelo suelo S2 Coeficient Coeficientee de Reducción R Peso tota totall de la la Edificaci Edificación ón
Como no realizaremos realizaremos e l an análisis álisis sísmico sísmico dinámico usaremos usaremos co mo fuerza fuerza basal el 80% 80% de la fuerza fuerza basal obtenida de l análisis análisis estático. estático. Entonces Entonces de los datos hallados hallados anteriormente: anteriormente:
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
DISTRIBUCIÓN DE LA CARGA SÍSMICA HORIZONTAL: Según la fórmula: Pi * hi
Fi =
*V
Σ Pi * hi
Entonces Entonces hallamos la fuerza fuerza de d e sismo para p ara cada cad a nivel: Nivel 1 2 3 4 5 6 7 TOTAL
* Las Las fuerzas fuerzas de sismo, en el pórt p órtico ico 2, en la dirección de los pórt p órticos icos prin p rincipales, cipales, se logra aproximar con solo dividir entre los 4 pórticos.
Para comprobar que no hay error se comprueba lo siguiente: siguiente: Σ Fi
=
V
=
22 6 8 4 9.21 8 8
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
B. METRADO DE CARGAS PARA PARA EL PÓRTICO N°2
CONCRETO CONC RETO ARMA ARMADO DO I
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CONCRETO CONC RETO ARMA ARMADO DO I
CARGA MUERTA: Para determinar la carga muerta necesitamos lo siguiente: Área tributaria en el pórtico 2 = 27.50 x 5.25 = 144.375 m2 WD = Considerado igual en todos los niveles y en concordancia con el área tributaria. WD = WALIGERADO + WVIGAS WD = 550 Kg/m2 x 5.25m + 2400 Kg/m3 x 0.30m x 0.60m WD = 3319.5 Kg/m = 3.32 Tn/m Sera igual para los 4 tramos del pórtico. CARGA VIVA: Antes del metrado se realizará la reducción de carga viva según la Norma la Norma E.020 del RNE, en la siguiente forma:
Lr =
Lo *
[ 0.25 +
4.60 √ Ai
]
Siendo: Lr = Intensida Intensidadd de carga reducida Lo = Intensida Intensidadd de carga no reducida de acuerdo acuerdo a las cargas permitidas en la norma de cargas (Tabla 1) Ai = Área de influencia del elemento eleme nto estructural en m2
Ai =
K * At
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
TABLA 3 FACTOR DE CARGA VIVA SOBRE EL ELEMENTO
Limitaciones: a) El área de influencia (Ai) deberá ser mayor que 40 m2, en caso contrario no se aplica ninguna reducción. b) El valor de la carga viva reducida (Lr ) no deberá ser menor a 0.50 Lo. c) Para las columnas o muros que soporten más de un piso deben sumarse las áreas de influencia de los diferentes pisos. d) No se permitirá reducción alguna de carga viva para el cálculo del esfuerzo de corte
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Según las limitaciones para analizar los tramos se debe tener en cuenta:
CUADRO DE ÁREA TRIBUTARIA (At) POR TRAMO TRAMOS
Ancho Tributario
Claro libre del tramo
At (m)
L (m)
Área Factor de tributaria del Carga Viva elemento K =2 At (m2)
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Verificando las limitaciones dadas en el Reglamento: ANCHO TRIBUTARIO < 1.5 L TRAMO
1 2 3 4
Ancho Tributario Ancho Tributario (m)
< 1.5 L (m)
5.25 5.25 5.25 5.25
9.75 11.25 9.75 10.50
Limitación
Cump le Cump le Cump le Cump le
AREA DE INFLUENCIA < 40 m2 TRAMO
1 2 3 4
Ai (m2) 68.25 78.75 68.25 73.50
Ai > 40 (m2) 40 40 40 40
Limitación
Cump le Cump le Cump le Cump le
Carga viva reducida (Lr) > 0.5 Lo T RAM O
Lr (Kg/m2)
1 2 3 4
201.70 192.09 201.70 196.64
Lr > 0.5 Lo (Kg/m2)
125.00 125.00 125.00 125.00
Limitación
Cump le Cump le Cump le Cump le
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UNFV - FIC
6.
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Análisis de Fuerzas y Momentos
Áreas e inercias en la dirección principal de columnas y vigas. Considerando la reducción de inercias de 0.70 y 0.35 para las inercias de columnas y vigas respectivamente y luego el Modulo de Elasticidad y Modulo de Corte. A. COLUMNAS:
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UNFV - FIC
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
Hallando los valores: ELEMENTO
b (m)
h (m)
AREAS (m )
(m )
COLUMNAS
0.50
0.50
0.25
VIGAS
0.30
0.60
0.18
2
INERCIAS
Valor de reducción de inercia
Reducción de inercia
0. 00521
0.70
0.00365
0. 00540
0.35
0.00189
4
Y consideramos: E = 2 173 700 Tn / m2 G = 0.4*E = 869 480 Tn / m2 NOMENCLATURA DE NUDOS NUDOS Y ELEMENTOS:
4
(m )
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UNFV - FIC
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
CARGA MUERTA Fuerzas en los Elementos (convención de resistencia de materiales) e Ni N j Mi Mcentro M j 1 2 3 4 5 6 7 8 9 10 11 12
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UNFV - FIC
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
CÁLCULO DE LAS ENVOLVENTES PARA LAS VIGAS 56, 57,58 Y 59 C O MB MB I N A C I ON ON E S D E C A R G A P A R A L OS OS E L E M E N T OS OS 56,57,58,59 CON SISMO
A: (1)
M U = 1.4 MD + 1.7 ML
B: (2) - (3)
M U = 1.25 MD + 1.25 ML ± ME
C: (4) - (5)
M U = 0.90 MD ± 1.43 ME
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UNFV - FIC
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
DATOS POR INGRESAR CARGA MUERTA ( D ) Mi
Mcentro
M j
(t m)
(t m)
(t m)
56
-11.906
5.946
-11.269
57
-15.377
7.895
-15.521
Elemento
CONCRETO CONC RETO ARMA ARMADO DO I
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UNFV - FIC
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
Combinacion Nº1 : Carga Muerta + Carga Viva
Elemento
Mui
Mcentro
Muj
1.4D + 1.7L 1.4D + 1.7L 1.4D + 1.7L
56
-23.117
11.556
-21.897
57 58
-29.482 -22.975
15.130 11.267
-29.767 -22.621
CONCRETO CONC RETO ARMA ARMADO DO I
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UNFV - FIC
DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
CUADRO RESUMEN DE LAS DIFERENTES COMBINACIONES DE CARGA
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
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DISE O ESTRU ESTRUCTUR CTURAL AL DE UNA EDIFI EDIFICACIÓ CACIÓN N
CONCRETO CONC RETO ARMA ARMADO DO I
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