método de trabajo mínimo
DESCRIPTION
Método de Trabajo MínimoTRANSCRIPT
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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