Chapter 12.3, Problem 31P

Determine the deflection of end C of the 100-mm-diameter solid circular shaft. Take E = 200 GPa.

The steel beam has a fixed support at A and a redundant hanger at B. The hanger rod has a cross sectional area of 3 in2.  The member A-B has a moment of inertia I=300 in4. Determine:  If the hanger were not attached at B, what would be the deflection at point B (E=29000 ksi)? With the hanger attached at B, determine the force carried in the rod BC. The stress carried in the rod BC. The reactions in the fixed support at A.

The rigid arm AB is attached to the end of the solid circular steel rod BC. The rod is supported by bearings at B and a fixed support at C. The bearings at B prevent rod BC from translating up, down, left, or right, but the bearings do allow rod BC to rotate freely about the x axis at B. It is required that the vertical deflection of point A not exceed 0.25 in. when a load of P = 700 lb is applied at A. Determine the minimum diameter needed for rod BC. Use a = 18 in. and b = 45 in. The modulus of rigidity of the rod is G = 11×106 psi. A P Answer: dmin = i a B b in. C