A beam ABC with simple supports at A and B and an overhang BC supports a concentrated load P at the free end C (see figure).

(a) Determine the strain energy U stored in the beam due to the load P.
(b) From the strain energy, find the deflection δC under the load P.
(c) Calculate the numerical values of U and δC if the length L is 8 ft, the overhang length a is 3 ft, the beam is a W 10 x 12 steel wide-flange section, and the load P produces a maximum stress of 12,000 psi in the beam. (Use E = 29 x 106 psi.)

PC