(Solved): 2 - The C86100-bronze rod AB and 6061-T6- aluminum rod BC are joined at the collar B and fixed conn ...

2 - The C86100-bronze rod $$AB$$ and 6061-T6- aluminum rod $$BC$$ are joined at the collar $$B$$ and fixed connected at their ends. If there is no load in the members when $$\mathrm{T}1=50^{?}\mathrm{F}$$, determine the reaction at $$\mathrm{C}$$ and the average normal stress in each member when $$T2=150^{?}\mathrm{F}$$. Also, how far will the collar $$B$$ be displaced (assume positive values to the right)? The diameter of rod $$AB$$ is $$1.3$$ in, and the diameter of rod $$BC$$ is $$0.8\mathrm{in}$$. Young's Modulus for C86100-bronze is $$15000\mathrm{ksi}$$ and for 6061-T6 Aluminum is $$10000\mathrm{ksi}$$. The coefficient of thermal expansion for 86100 -bronze is $$0.0000096/{}^{?}\mathrm{F}$$ and for $$6061?\mathrm{T}6$$ Aluminum is $$0.0000131/{}^{?}\mathrm{F}$$. Perform all your calculations in the base Imperial Units (so not in kip, ksi, etc., but in lb, psi, etc.), so first convert all units to base and appropriate ones. Perform all your calculations with decimals of precision, but when answering, just at the end of your calculations, reduce your final results to the requested units and perform rounding, following the instructions below. Reaction at C (in kip, with four decimals of precision and NO sign), the average normal stresse (in ksi, with four decimals of precision and NO sign) in rod $$AB$$ and rod $$BC$$, and the signed displacement of collar $$B$$ (in inches, with four decimals of precision; and follow the sign convention requested above).