The problem of synthesis of power transmission shafts supported on two bearings, subject to dimensional, strength, and deflection constraints is posed as a nonlinear programming (NP) problem. The formulation of the design problem and its solution using the gradient projection (GP) algorithm are presented. A computer program for shaft design against a user-definable weight/cost criterion, based on the formulation and solution presented, is made available. A design example illustrating this approach to power transmission shaft design is included.

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