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kozerog [31]
3 years ago
6

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 bas

e. 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.
Physics
1 answer:
Svet_ta [14]3 years ago
5 0

Explanation:

Formula to calculate lateral strain is as follows.

         Lateral strain = \frac{P}{AE}

                               = \frac{160 \times 1000}{60 \times 100 \times 2.60 \times 10^{3}}

                               = \frac{160}{15.6 \times 10^{3}}

                               = 10.256 \times 10^{-3}            

It is known that,

                   v = \frac{\text{lateral strain}}{\text{longitudnal strain}}

 Lateral strain = 0.43 \times 10.256 \times 10^{-3}

                        = 4.41 \times 10^{-3}

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

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