A 6-m long x 50-mm-diameter rod of aluminum alloy [E = 70 GPa, v = 0.346, and a = 22.5 x 10-6/°C] is attached at the ends to supports that yield to permit a change in length of 1.00 mm in the rod when stressed. When the temperature is 35°C, there is no stress in the rod. After the temperature of the rod drops to -20°C, determine a. The normal stress in the rod. Ans. 74.96 MPa (T) b. The change in diameter of the rod. Ans. +0.0228 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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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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A 6-m long x 50-mm-diameter rod of aluminum alloy [E = 70 GPa, v = 0.346, and a = 22.5 x 10-6/°C] is
attached at the ends to supports that yield to permit a change in length of 1.00 mm in the rod when
stressed. When the temperature is 35°C, there is no stress in the rod. After the temperature of the rod drops
to -20°C, determine
a. The normal stress in the rod. Ans.
74.96 MPa (T)
b. The change in diameter of the rod. Ans.
+0.0228 mm
Transcribed Image Text:A 6-m long x 50-mm-diameter rod of aluminum alloy [E = 70 GPa, v = 0.346, and a = 22.5 x 10-6/°C] is attached at the ends to supports that yield to permit a change in length of 1.00 mm in the rod when stressed. When the temperature is 35°C, there is no stress in the rod. After the temperature of the rod drops to -20°C, determine a. The normal stress in the rod. Ans. 74.96 MPa (T) b. The change in diameter of the rod. Ans. +0.0228 mm
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