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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

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

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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The final answer in letter b must be +0.0228 mm.

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