(E, = 200 GPa, a, =11.7×10°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine (a) the final stress in the steel rod, (b) the final length of the steel rod.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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50 mm
PROBLEM 2.55
Brass
37.5 mm
A brass link (E, = 105 GPa, a, = 20.9x10/°C) and a steel rod
(E, = 200 GPa, a =11.7x10/°C) have the dimensions shown
at a temperature of 20°C. The steel rod is cooled until it fits
freely into the link. The temperature of the whole assembly is
then raised to 45°C. Determine (a) the final stress in the steel rod,
(b) the final length of the steel rod.
37.5 mm
0.12 mm -250 mm
30-mm diameter
Steel
A
Section A-A
0, =-36.8 MPa
L, = 250.147 mm
%3D
Transcribed Image Text:50 mm PROBLEM 2.55 Brass 37.5 mm A brass link (E, = 105 GPa, a, = 20.9x10/°C) and a steel rod (E, = 200 GPa, a =11.7x10/°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine (a) the final stress in the steel rod, (b) the final length of the steel rod. 37.5 mm 0.12 mm -250 mm 30-mm diameter Steel A Section A-A 0, =-36.8 MPa L, = 250.147 mm %3D
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