Which one of the following statements is true? Explain your answer. 1] a] When m

Question

Which one of the following statements is true? Explain your answer.

1]

a] When materials are subjected to a tensile stress, the laterial strain is always negative.

b] When metals are subjected to a tensile stress, the lateral strain is always positive.

c] When materials are subjected to a tensile strain, teh laterial strain is always negative.

d] When metals are subjected to a tensile stress, teh strain is always proportional to the magnitude of the stress.

e] When materials are subjected to a compressive stress, the Young's Modulus is always positive

Explanation / Answer

NOne of them is always true.

(a) False. Some materials, e.g., composite materials, have negative Poisson's ratio. Then a positive tensile stress will cause a positive lateral strain.

(b) False. For metals, tensile longitudinal stress will cause negative lateral strain, since Poisson's ratio is positive.

(c) False. See part (a)

(d) False. For metals loaded over the limit stress, the stress-strain relationship will not be linear.

(e)False. Some specially designed composite materials have negative Young's Modulus.

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