Problem $5\mathrm{.}31$

Problem Statement: A plate of an aluminum alloy is subjected to in$-$plane stresses of ${}_{}=80,{}_{yy}$

$=-30,$ and ${}_{xy}=50$MPa, with the other stress components being zero. The coefficient of thermal

expansion for the allow is $23\mathrm{.}6{10}^{-6}{C}^{-1}.$

MEN $3020-$ Materials Science

Professor Gallagher

Homework $4$

Assigned: $9/26/24$

Due: $\frac{10}{3}\frac{?}{24}$

a$)$ Determine all nonzero strain components if the temperature remains constant.

b$)$ Determine all nonzero strain components if the termperature decreases by $15C$ while the

given stresses are present.

c$)$ Compare the strain values from $($a$)$ and $($b$),$ and comment on the trends in the values.