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A rubber sheet of thickness t and area A is compressed as shown in the figure. All contact surfaces are sufficiently rough to prevent

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: 8 = (1 + v) (1 2v) Pt 1-v EA (Hint: The roughness of the surfaces prevents transverse expansion of the sheet.) Rubber Rigid plate Area = A

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