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1. A polyethylene bar (E = 1.4 GPa and v = 0.4) having di = 70 mm is placed inside a rigid steel tube having an inner diameter d2 = 70.2 mm. The polyethylene bar is then compressed by an axial load P. (a) At what value of P will the space between the polyethylene bar and the steel tube be closed? (b) If the compressive force P = 50 kN, determine the normal stress on the cylindrical surface of the bar, axial strain and the change in volume in the bar.

1. A polyethylene bar (E = 1.4 GPa and v = 0.4) having di = 70 mm is placed inside a rigid steel tube having an inner diameter d2 = 70.2 mm. The polyethylene bar is then compressed by an axial load P. (a) At what value of P will the space between the polyethylene bar and the steel tube be closed? (b) If the compressive force P = 50 kN, determine the normal stress on the cylindrical surface of the bar, axial strain and the change in volume in the bar.

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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1. A polyethylene bar (E = 1.4 GPa and v = 0.4) having di = 70 mm is placed inside a rigid steel tube having an inner diameter d2 = 70.2 mm. The polyethylene bar is then compressed by an axial load P. (a) At what value of P will the space between the polyethylene bar and the steel tube be closed? (b) If the compressive force P = 50 kN, determine the normal stress on the cylindrical surface of the bar, axial strain and the change in volume in the bar. Steel tube. 7p Ip Polyethylene- bar
Transcribed Image Text:1. A polyethylene bar (E = 1.4 GPa and v = 0.4) having di = 70 mm is placed inside a rigid steel tube having an inner diameter d2 = 70.2 mm. The polyethylene bar is then compressed by an axial load P. (a) At what value of P will the space between the polyethylene bar and the steel tube be closed? (b) If the compressive force P = 50 kN, determine the normal stress on the cylindrical surface of the bar, axial strain and the change in volume in the bar. Steel tube. 7p Ip Polyethylene- bar
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