A prismatic bar of length 10 ft and cross-sectional area of 6 in carries a distributed load of 5 lb/ft and an end load of 3000 lb as shown in the figure above. (a) Apply Galerkin's method using the first two basis functions of the polynomial basis { 6=2&2 = 2! 01 } and use your solution to determine Young's modulus E (in psi) so that the bar will elongate (i) no more than 2 inches, (ii) no more than 0.5 inches. x=0 10 ft 5 lb/ft 3000 lb