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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