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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F056d53dc-3f4d-4ce6-b212-dcc4942aa42d%2F896563ae-0a34-40d3-a0c3-7946bacf57d2%2F7zo70zc_processed.jpeg&w=3840&q=75)
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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