A flat aluminum alloy bar is fixed at both ends. Segment AB has a slight taper. If the temperature of the bar is raised uniformly by an amount ?T = 20°F, find reactions at A and C. What is the displacement at B? Assume that L = 3 ft, t = 1/4 in, b1 = 2 in, b2 = 2.5 in, E = 10,400 ksi, and the coefficient of thermal expansion
= 13 x 10-6 / °F.