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Ing. Jorge Luis Paredes Estacio
UNIVERSIDAD PRIVADA ANTENOR ORREGO
FACULTA DE INGENIERIA
ESCUELA PROFESIONAL DE INGENIERIA CIVIL
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Cual es la Diferencia entre Rigidez y
FlexibilidadRigidez: Fuerza o par , que aparece ante un
alargamiento o giro unitario.
Flexibilidad: Alargamiento o giro producidopor una fuerza o par unidad.
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Sistema de Coordenadas
Discretizacin Sistema de Referencia: Es un Sistema Cartesiano que permite la
definicin geomtrica de la estructura (coordenadas de los nudos,longitudes de los elementos, etc.)
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Sistema de Coordenadas
Discretizacin Discretizacin: Proceso de disociar la estructura en
elementos (unidos en los nodos)
Sistema Local: En cada barra o elemento de la estructurade finiremos un sistema local, al que referiremos losmovimientos y fuerzas de cada barra.
Sistema Global: Puesto que en el proceso de discretizacinde la estructura se ha supuesto sta formada por un
conjunto de elementos y nodos, ser preciso definir unsistema nico, global, que permita referir a l de formanica y para toda la estructura los movimientos y fuerzas delos nodos.
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Rigideces de barras elementales1. Barra de Celosa, estructuras planas (cerchas)
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Rigideces de barras elementales1. Barra de Celosa, estructuras planas (cerchas)
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Rigideces de barras elementales2. Barra en voladizo
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Rigideces de barras elementales2. Barra en voladizo
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Rigideces de barras elementales3. Barra de Estructura Plana Inextensible
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Rigideces de barras elementales3. Barra de Estructura Plana Inextensible
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Rigideces de barras elementales4. Barra de Estructura Plana Extensible
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Rigideces de barras elementales5. Elemento de Prtico Tridimensional
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Rigideces de barras elementales5. Elemento de Prtico Tridimensional
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Rigideces de barras elementales6. Elemento Placa
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Rigideces de barras elementales6. Elemento Placa
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Rigideces de barras elementales6. Elemento Placa
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Matriz de Rigidez Directa Con
Matrices de Transformacin
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Matriz de Rigidez Directa ConMatrices de Transformacin
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Matriz de Rigidez Directa
Cosenos Directores Formulas:
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Matriz de Rigidez Directa
Cosenos Directores Formulas:
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PARA ARMADURAS
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MUROS DE ALBAILERA
a=L/4
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Mtodo de Condensacin Esttica
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Mtodo de Condensacin Esttica
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ANLISIS MATRICIAL EN 3D
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Hallar los desplazamientos laterales en cada Prtico debido a las cargasactuantes que actan en el C.G. de la Losa Rgida. Considerar E=2x10e6ton/m2.Considerar altura de piso a Techo de 3.50m. Hallar el diagrama de momentos
en los prticos debido a las fuerzas.
COLUMNA SECCCIN
C-1 0.30x0.50
PRIMER PISO
C-1 C-1
C-1
C-1
C-1
C-1
C-1
C-1
C-1
5 Ton
3.5Ton
8.5 Ton-m
1 2 3
A
B
C
V(0.30x0.60) VP(0.30x0.60)
V(0.30x0.60) V(0.30x0.60)
V(0.30x0.60) V(0.30x0.60)
V(0.3
0x0.6
5)
V(0.3
0x0.
65)
V(0.3
0x0
.65)
V(0.3
0x0.6
5)
V(0.3
0x0
.65)
V(0.3
0x0.6
5)
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ANLISIS MATRICIAL EN 3D Ley de Hooke Generalizado
Donde:
Desplazamiento Lateral:
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Caso especial Rigidez lateral