The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. The 20-kip load is then applied and the temperature of the steel rods is changed by AT. Find AT for which the stresses in the two steel rods will be equal. Use a= 6.5 x 10-6 /°F and E=29x10°. A= 0.5 in. 3 ft 20 kips 2 ft 2 ft -→ 4 ft 4 ft- A = 0.75 in.?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The topic is all about thermal stress. Please use pen and paper to solve and show the conversion in the solution.

In solution: Show the relationship in deformation:

 

The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and
C are stress-free. The 20-kip load is then applied and the temperature of the steel rods is changed
by AT. Find AT for which the stresses in the two steel rods will be equal. Use a= 6.5 x 10-6 /°F and
E=29x10°.
A = 0.5 in.2
3 ft
20 kips
2 ft 2 ft →
4 ft
4 ft -
A = 0.75 in.²
Transcribed Image Text:The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. The 20-kip load is then applied and the temperature of the steel rods is changed by AT. Find AT for which the stresses in the two steel rods will be equal. Use a= 6.5 x 10-6 /°F and E=29x10°. A = 0.5 in.2 3 ft 20 kips 2 ft 2 ft → 4 ft 4 ft - A = 0.75 in.²
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