A 10-ft-long rigid beam is supported by a round steel rod and pinned connection as shown....

A 10-ft-long rigid beam is supported by a round steel rod and pinned connection as shown. The beam hangs horizontally when unloaded. The 2.50-in-diameter steel rod is exactly 13’-9’’ long when connected but before the beam is placed under load. Steel used in the rod has a modulus of elasticity of 29 000 000 lb/in2. When loaded, the beam carries a 10-kip/ft uniformly distributed load across its entire length. Neglecting the weight of the cable, approximate the change in length of the rod when the beam is placed under load.