$5-$ At temperature $60F,$ a $0\mathrm{.}04$ in$.$ gap exist between the ends of two bars. Bar $(1)$ is aluminum alloy $(E=10,000$ksi,$v=0\mathrm{.}32,=12\mathrm{.}510-6$ and width of $3$ in$.)$ Bar $(2)$ is stainless steel and width of $2in.).$ Thickness of both bars is $0\mathrm{.}75in.$ Determine

a$.$ The lowest temperature at which the tow bars contact each other.

b$.$ The normal stress in the two bars at $250F$

c$.$ The normal strain at two bars at $250F$

d$.$ Changes in the width at $250F.$