For the cantilever beam shown, assume the spring constant to be K = 3 El/L, solve for the deflections of the spring and point B by using: a. Castigliano's 2nd

theorem. b. Rayleigh-Ritz method by assuming a displacement (admissible) function: v(x) = a, (x/ L)° +a,(x/ L} Find the numerical values for the deflection if E =10' Psi, L= 20 in and a square cross-с.section of 2in by 2in. Also assume @, = 50lb/ in,= 500lb in . DO NOT USE THESE%3DVALUES FOR PARTS (a) and (b).