Answered: Three rods of different materials are…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Three rods of different materials are connected and placed between rigid supports at A and D, as shown below. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 70°F. After the temperature has been increased to 250°F, determine: (a) the normal stresses in the three rods. (b) the force exerted on the rigid supports. (c) the deflections of joints B and C relative to rigid support A.

Aluminum
4₁
Aluminum (1)
L₁ = 10 in.
4₁=0.8 in.²
E₁ = 10,000 ksi
%₁ = 12.5x10-6/°F
B
Cast Iron
(2)
L₂
Cast Iron (2)
L₂=5 in.
4₂=1.8 in.²
E₂ = 22,500 ksi
0₂= 7.5x10-5/°F
Bronze
(3)
L3
D
Bronze (3)
L3= 7 in.
43 = 0.6 in ²
E3= 15,000 ksi
03=9.4×10/°F

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