A vinyl [E = 2.60 GPa; ν = 0.43] block with width b = 60 mm, depth d = 120 mm, and height h = 320 mm rests on a smooth rigid base. A load P is applied to a rigid plate that rests on top of the block. Calculate the change in the depth dimension d of the block after a load of P = 160 kN is applied.

Explanation:

Formula to calculate lateral strain is as follows.

         Lateral strain =

                               =

                               =

                               =            

It is known that,

                   v =

 Lateral strain =

                        =

Thus, we can conclude that the change in the depth dimension d of the block is 0.00441 mm.

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