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2.35 A rubber sheet of thickness t and area A is compressed as shown in the figure. All contact surfaces are sufficiently rough to prevent slipping. Show that the change in the thickness of the rubber sheet caused by the load P is (1+ v)(1 – 2v) Pt (1 – v) EA (Hint: The roughness of the surfaces prevents transverse expansion of the sheet.)

2.35 A rubber sheet of thickness t and area A is compressed as shown in the figure. All contact surfaces are sufficiently rough to prevent slipping. Show that the change in the thickness of the rubber sheet caused by the load P is (1+ v)(1 – 2v) Pt (1 – v) EA (Hint: The roughness of the surfaces prevents transverse expansion of the sheet.)

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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-Area = A Rigid plate Rubber- FIG. P2.35
Transcribed Image Text:-Area = A Rigid plate Rubber- FIG. P2.35
2.35 A rubber sheet of thickness t and area A is compressed as shown in the figure. All contact surfaces are sufficiently rough to prevent slipping. Show that the change in the thickness of the rubber sheet caused by the load P is (1 + v)(1 – 2v) Pt (1 – v) EA (Hint: The roughness of the surfaces prevents transverse expansion of the sheet.)
Transcribed Image Text:2.35 A rubber sheet of thickness t and area A is compressed as shown in the figure. All contact surfaces are sufficiently rough to prevent slipping. Show that the change in the thickness of the rubber sheet caused by the load P is (1 + v)(1 – 2v) Pt (1 – v) EA (Hint: The roughness of the surfaces prevents transverse expansion of the sheet.)
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