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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.

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.

Elements Of Electromagnetics
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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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
Transcribed Image Text: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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