Problem $5\mathrm{.}4\mathrm{.}6$

A W$12$x$58$ steel beam is rigidly attached at one end of a

concrete wall. If a gap of $0\mathrm{.}0125"$ exists at the opposite

end when the temperature is $35F,$ what results when

the temperature rises to $100F?$ If the gap closes fully

and some of the thermal deformation is restrained,

determine the resulting stress in the beam.

Please use E $=29{10}^6$ psi $($i$.$e$.,$ A$36$ Steel$)$