Solve Problem 4–54 using Castigliano's theorem. Problem 4-54 The figure illustrates a stepped torsion-bar spring OA with an actuating cantilever AB. Both parts are of carbon steel. Use superposition...

Solve Problem 4–54 using Castigliano's theorem.

Problem 4-54

The figure illustrates a stepped torsion-bar spring OA with an actuating cantilever AB. Both parts are of carbon steel. Use superposition and find the spring rate k corresponding to a force F acting at B.