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Escuela Profesional de
Mec叩nica, Mec叩nica El辿ctrica
y Mecatr坦nica
R.C. Hibbeler, 2017,
Mec叩nica de Materiales II, 9na.Ed.
Problemas 5-109 6-113
2014203101
PINTO VALDIVIA ROBIN MARCOS
SECCION B
1. Problema 5-109
Para un esfuerzo promedio m叩ximo dado, determine el factor por el cual se
incrementa la capacidad de carga de par si la secci坦n semicircular se invierte de la
l鱈nea discontinua posici坦n a la secci坦n que se muestra. El tubo tiene 0.1 pulg. de
espesor.
 Enunciado
1. Problema 5-109  Resoluci坦n
Para un esfuerzo promedio m叩ximo dado, determine el factor por el cual se
incrementa la capacidad de carga de par si la secci坦n semicircular se invierte de la
l鱈nea discontinua posici坦n a la secci坦n que se muestra. El tubo tiene 0.1 pulg. de
espesor.
Am=(1.10)(1.75)
 0.552
2
Am=1. 44982
A卒
=(1.10)(1.75) +
 0.552
2
Am=2.4002 2
 =

2$基
 = 2 基
1. Problema 5-109
Para un esfuerzo promedio m叩ximo dado, determine el factor por el cual se
incrementa la capacidad de carga de par si la secci坦n semicircular se invierte de la
l鱈nea discontinua posici坦n a la secci坦n que se muestra. El tubo tiene 0.1 pulg. de
espesor.
$ =
2 基卒
2 基
=
基卒
基
=
2.4002
1.4498
= 1.66
 Resoluci坦n
2. Problema 6-113
El tablero se utiliza como viga de piso simplemente apoyada. Si se aplica un momento flector
de M = 800 lb 揃 pie a 3 属 de la eje z, determine la tensi坦n desarrollada en el tablero en el
esquina A. Compare este estr辿s con el desarrollado por el mismo momento aplicado a lo
largo del eje z (u = 0 属). 多Cu叩l es el 叩ngulo a para el eje neutro cuando u = 3 属? Comentario:
normalmente, piso Las tablas se clavar鱈an en la parte superior de las vigas para que u  0 属 y
no se producir鱈a la alta tensi坦n debida a la desalineaci坦n.
 Enunciado
2. Problema 6-113
El tablero se utiliza como viga de piso simplemente apoyada. Si se aplica un momento flector
de M = 800 lb 揃 pie a 3 属 de la eje z, determine la tensi坦n desarrollada en el tablero en el
esquina A. Compare este estr辿s con el desarrollado por el mismo momento aplicado a lo
largo del eje z (u = 0 属). 多Cu叩l es el 叩ngulo a para el eje neutro cuando u = 3 属? Comentario:
normalmente, piso Las tablas se clavar鱈an en la parte superior de las vigas para que u  0 属 y
no se producir鱈a la alta tensi坦n debida a la desalineaci坦n.
Mz=800cos3属
Mz=798.904 lb.ft
My=800sen3属
Mz=41.869lb.ft
Iz=
1
12
(2)(63)
Iz=36 4
Iy=
1
12
(6)(23
)
Iy=4 4
 Resoluci坦n
El tablero se utiliza como viga de piso simplemente apoyada. Si se aplica un momento flector de M = 800
lb 揃 pie a 3 属 de la eje z, determine la tensi坦n desarrollada en el tablero en el esquina A. Compare este
estr辿s con el desarrollado por el mismo momento aplicado a lo largo del eje z (u = 0 属). 多Cu叩l es el 叩ngulo
a para el eje neutro cuando u = 3 属? Comentario: normalmente, piso Las tablas se clavar鱈an en la parte
superior de las vigas para que u  0 属 y no se producir鱈a la alta tensi坦n debida a la desalineaci坦n.
=
ю
腫
+

腫
=
798.904(12)(3)
腫
+
41.869(12)(1)
腫
=925psi
tan 留 =
腫
腫
tan牢
tan 留 =
36
4
tan 3 属
留 = 25.3属
 =


 =
800(12)(3)
36
=800 psi
 Resoluci坦n

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RESISTENCIA DE MATERIALES

  • 1. Escuela Profesional de Mec叩nica, Mec叩nica El辿ctrica y Mecatr坦nica R.C. Hibbeler, 2017, Mec叩nica de Materiales II, 9na.Ed. Problemas 5-109 6-113 2014203101 PINTO VALDIVIA ROBIN MARCOS SECCION B
  • 2. 1. Problema 5-109 Para un esfuerzo promedio m叩ximo dado, determine el factor por el cual se incrementa la capacidad de carga de par si la secci坦n semicircular se invierte de la l鱈nea discontinua posici坦n a la secci坦n que se muestra. El tubo tiene 0.1 pulg. de espesor. Enunciado
  • 3. 1. Problema 5-109 Resoluci坦n Para un esfuerzo promedio m叩ximo dado, determine el factor por el cual se incrementa la capacidad de carga de par si la secci坦n semicircular se invierte de la l鱈nea discontinua posici坦n a la secci坦n que se muestra. El tubo tiene 0.1 pulg. de espesor. Am=(1.10)(1.75) 0.552 2 Am=1. 44982 A卒 =(1.10)(1.75) + 0.552 2 Am=2.4002 2 = 2$基 = 2 基
  • 4. 1. Problema 5-109 Para un esfuerzo promedio m叩ximo dado, determine el factor por el cual se incrementa la capacidad de carga de par si la secci坦n semicircular se invierte de la l鱈nea discontinua posici坦n a la secci坦n que se muestra. El tubo tiene 0.1 pulg. de espesor. $ = 2 基卒 2 基 = 基卒 基 = 2.4002 1.4498 = 1.66 Resoluci坦n
  • 5. 2. Problema 6-113 El tablero se utiliza como viga de piso simplemente apoyada. Si se aplica un momento flector de M = 800 lb 揃 pie a 3 属 de la eje z, determine la tensi坦n desarrollada en el tablero en el esquina A. Compare este estr辿s con el desarrollado por el mismo momento aplicado a lo largo del eje z (u = 0 属). 多Cu叩l es el 叩ngulo a para el eje neutro cuando u = 3 属? Comentario: normalmente, piso Las tablas se clavar鱈an en la parte superior de las vigas para que u 0 属 y no se producir鱈a la alta tensi坦n debida a la desalineaci坦n. Enunciado
  • 6. 2. Problema 6-113 El tablero se utiliza como viga de piso simplemente apoyada. Si se aplica un momento flector de M = 800 lb 揃 pie a 3 属 de la eje z, determine la tensi坦n desarrollada en el tablero en el esquina A. Compare este estr辿s con el desarrollado por el mismo momento aplicado a lo largo del eje z (u = 0 属). 多Cu叩l es el 叩ngulo a para el eje neutro cuando u = 3 属? Comentario: normalmente, piso Las tablas se clavar鱈an en la parte superior de las vigas para que u 0 属 y no se producir鱈a la alta tensi坦n debida a la desalineaci坦n. Mz=800cos3属 Mz=798.904 lb.ft My=800sen3属 Mz=41.869lb.ft Iz= 1 12 (2)(63) Iz=36 4 Iy= 1 12 (6)(23 ) Iy=4 4 Resoluci坦n
  • 7. El tablero se utiliza como viga de piso simplemente apoyada. Si se aplica un momento flector de M = 800 lb 揃 pie a 3 属 de la eje z, determine la tensi坦n desarrollada en el tablero en el esquina A. Compare este estr辿s con el desarrollado por el mismo momento aplicado a lo largo del eje z (u = 0 属). 多Cu叩l es el 叩ngulo a para el eje neutro cuando u = 3 属? Comentario: normalmente, piso Las tablas se clavar鱈an en la parte superior de las vigas para que u 0 属 y no se producir鱈a la alta tensi坦n debida a la desalineaci坦n. = ю 腫 + 腫 = 798.904(12)(3) 腫 + 41.869(12)(1) 腫 =925psi tan 留 = 腫 腫 tan牢 tan 留 = 36 4 tan 3 属 留 = 25.3属 = = 800(12)(3) 36 =800 psi Resoluci坦n