A "rigid" beam AD is supported by a smooth pin B and by vertical rods that are attached to the beam at points A and C, as shown in the Figure. Neglect the weight of the beam. The beam is horizontal when only rod (1) is attached and P= 22 kN, but rod (2) was manufacutred d' = 0.35 mm too short. Assume that rod (2) is stretched and attached to the beam at C then the load P = 22 kN is applied. [A₁= 256 mm², A₂= 160 mm² E₁-E₂= 200 GPa, a= 0.8 m, b= 2.5 m, L₁= 79 cm, L₂= 128 cm, 5'= 0.35 mm] L: (1) B a с. L₂ b What is the value of the internal force in rod (1)?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.3.11P: A beam ABCD with a vertical arm CE is supported as a simple beam al A and D (see figure part a). A...
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A "rigid" beam AD is supported by a smooth pin B and by vertical rods that are attached to the beam at points A and C, as
shown in the Figure. Neglect the weight of the beam. The beam is horizontal when only rod (1) is attached and P= 22 kN,
but rod (2) was manufacutred d' = 0.35 mm too short. Assume that rod (2) is stretched and attached to the beam at C
then the load P = 22 kN is applied.
[A1= 256 mm², A2= 160 mm² E₁-E₂= 200 GPa, a= 0.8 m, b= 2.5 m, L₁= 79 cm, L₂= 128 cm, 5'= 0.35 mm]
L;
(1)
B
a
(2)
Cl
L2
15
b
What is the value of the internal force in rod (1)?
D
Transcribed Image Text:A "rigid" beam AD is supported by a smooth pin B and by vertical rods that are attached to the beam at points A and C, as shown in the Figure. Neglect the weight of the beam. The beam is horizontal when only rod (1) is attached and P= 22 kN, but rod (2) was manufacutred d' = 0.35 mm too short. Assume that rod (2) is stretched and attached to the beam at C then the load P = 22 kN is applied. [A1= 256 mm², A2= 160 mm² E₁-E₂= 200 GPa, a= 0.8 m, b= 2.5 m, L₁= 79 cm, L₂= 128 cm, 5'= 0.35 mm] L; (1) B a (2) Cl L2 15 b What is the value of the internal force in rod (1)? D
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