A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 205 mm, a wall thickness of 11 mm, and a length of 4.2 m. The pipe supports a compressive load of 615 kN. After the temperature of the pipe drops 48°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...
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A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 205 mm, a wall thickness of 11 mm, and a length of 4.2 m.  The pipe supports a compressive load of 615 kN.  After the temperature of the pipe drops 48°C, determine:
(a) the axial deformation of the pipe.
(b) the change in diameter of the pipe.

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