Solve the complete problem with $100\%$ accurate otgerwise i definitely give downvotee if right i will give upvote too Problem $1$:

Consider the prismatic beam below. The temperature gradient varies along the length starting from zero at the left end to $T=L$ at the right end. The beam is hotter on top and cooler on bottom. Assume a linear temperature gradient through the member depth $($no temperature change at the centroid, i$.$e$.,T_T=-T_B).$ Determine the fixed end forces $($moments $M_{\text{f}\text{e}\text{f}}$ and shears $V_{\text{f}\text{e}\text{f}})$ in terms of the temperature gradient coefficient $$ and the member properties using the Force method. $($HINT: Be careful. The structure is statically indeterminate. You need to use the force method with two redundants.$)$

Area: $A$

Moment of inertia: $I$

Member depth: $d$

Young's modulus: $E$

Coefficient of thermal expansion: $$