Reconsider the structure of Problem 12.30 and replace the end rollers with pinned supports as illustrated below. Calculate the reactions of the structure. Problem 12.30 Using the stiffness method,...

Reconsider the structure of Problem 12.30 and replace the end rollers with pinned supports as illustrated below. Calculate the reactions of the structure.

Problem 12.30

Using the stiffness method, evaluate the reactions for the structure illustrated below, which is subjected to a linear temperature change over the cross-sections defined by top and bottom variations of: ΔT1 = 20°C and ΔT2 = 10°C (as shown). The temperature changes are constant over the length of each element. The crosssection is doubly-symmetric and is 0.3 m deep. Adopt I = 240 × 106 mm4, A = 8 × 103 mm2, E = 200 GPa and α = 11 × 10−6/°C.