UNIVERSIDAD NACIONAL PEDRO RUIZ GALLOFACULTAD DE INGENIERIA CIVIL, SISTEMAS Y ARQUITECTURAESCUELA PROFESIONAL DE INGENIERIA CIVIL

ESCUELA PROFESIONAL DE INGENIERIA CIVIL

CURSO

:

ANALISIS ESTRUCTURAL I

DOCENTE

:

Ing. SERGIO BRAVO IDROGO

INTEGRANTES:

CAMACHO PEREZ JULIO CESAR

CRUZ LINARES LENNINIVAN

MUNOZ SALDAA RICHARD

VENTURA CABANILLAS RONALD MIGUELLAMBAYEQUE ABRIL DEL 2008.Problema 1.- En la Viga como se muestra, por el mtodo del trabajo mnimo, determinar:

a.- Las reacciones en los apoyos

b.- Los diagramas de V y M

SOLUCION:1 Viga Liberada:

Clculo de RA y RD en funcin de las hiperestticas (XA, XB, XC)

RD =

RA =

2 Clculo de Momentos:2.1 Clculo de Momentos en el tramo A 3 (de izquierda a derecha)

(0 X 1.5)

;

;

(1.5 X 3.0)

;

;

(3.0 X 6.0)

;

;

(6.0 X 9.0)

;

;

2.1 Clculo de Momentos en el tramo D 3 (de derecha a izquierda)

(0 X 1.5)

;

;

(1.5 X 3.0)

;

;

(3.0 X 6.0)

;

;

(6.0 X 9.0)

;

;

3 Aplicando las Ecuaciones:

;

;

Remplazando en:

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

Remplazando en:

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

Remplazando en:

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

Desarrollando simultneamente I, II, III, se tiene:

Hallando las dems incgnitas:

4 Diagramas de Fuerza Cortante (V), y Momento Flector (M):

Problema 2.- En la Cercha cargada como se muestra, por el mtodo del trabajo mnimo, determinar:

a.- Las reacciones en los apoyos.

b.- Las fuerzas en las barras.

SOLUCION:

1 Viga Liberada

Nudo 1

Nudo 3

Nudo 2

Nudo 4

Nudo 8

Nudo 7

Nudo 6

CUADRO N 1 RESUMEN DEL ANALISISBARRASL (m)A(mm2)F(T)

S0LUCION

133800

()()()-0.603

353800

()()()-0.603

573900

()()()7.272

783900

()()()7.272

8651200

()()()-12.121

643900

()()()-1.205

423900

()()()-1.205

2151200

()()()-1.004

23410000000

2551200

()()()-1.004

45410000000

6551200

()()()-14.129

674100021000

SUMA0.122526X5 + 0.1483398 = 0

EMBED Equation.3

DIAGRAMA DE MOMENTO FLECTOR

-0.922

0.18

1.2829

2.385

2.206

1.488

0.59

-0.307

-1.226

-2.269

-3.563

-5.231

-7.399

-10.193

-3.867

1.585

6.036

9.362

11.438

12.139

11.382

9.25

5.867

1.36

-4.147

-10.529

-7.631

-5.358

-3.585

-2.186

-1.038

-0.015

0.988

1.99

2.993

1.995

0.998

0

-15

-10

-5

0

5

10

15

0

0.5

1

1.5

1.6

2

2.5

3

3.5

4

4.5

5

5.5

6

6.5

7

7.5

8

8.5

9

9.5

10

10.5

11

11.5

12

12.5

13

13.5

14

14.5

15

15.5

16

16.5

17

17.5

18

EMBED CorelPhotoPaint.Image.8

PAGE 16ANALISIS ESTRUCTURAL I

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