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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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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