A rigid beam BG is supported by a smooth pin C and by rods (1) and (2), that are attached to the beam at points D and B respectively. Both rods are identical with stiffness k and thermal expansion coefficient a. The beam is horizontal (3-0) when only rod (2) is attached and P=0. During fabrication, rod (1) was made & shorter than needed, as illustrated in the figure below (where 8 < < L). In order to build the assembly, rod (1) was placed in the oven to increase its length so that it would fit between pins D and F. Hint: Assume SMALL deformations! Since > < < < L, you can assume that both rods have the same stiffness k. A 0 a C a F E B (1) 15 a L -G P (a) What is the temperature needed to fix rod (1) to the pin F. (b) After assembly, rod (1) returns to its original temperature and a vertical force P is applied at G as indicated. Obtain an expression for the strain in rod (1), E. Your answer should be a function of P, 8, 5, L and k.