Solve Prob. 4€“52 using Castigliano€™s theorem.
Prob. 4€“52, 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 atB.

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0 18 mm 12 mm 0.2 m 0.4 m 8 mm 0.2 m B