The space truss is supported by a ball-and-socket joint at D and short links at C and E. Determine the force and stress in each member and state if the members are buckle or not, also determine the displacement at each joint. The diameter of cross section is 1 in and the Young modulus is 29×106 psi. If the σallow = 18 ksi, determine the minimum cross section area of each member so that the space truss will be safe (i.e., all stress are smaller than allowable stress and no buckling occurs,).

P_cr π²EI/L² All members will use the same circular cross section.

F1 = (200i + 300j - 500k) lb, F2 = 400lb, a = 4 ft, b = 3 ft, c = 3ft.