1. Use beam and shaft finite element analysis to deter

1. Use beam and shaft finite element analysis to determine deflections rotations and stresses.An ANSI 1020 cold-drawn steel shaft with the geometry shown in the figure carries a transverse load of 7 kN and a torque of 107 Nm. Examine the shaft for strength and deflection. If the largest allowable slope at the bearings is 0.001 rad and at the gear mesh is 0.0005 rad what is the factor of safety guarding against damaging distortion? What is the factor of safety guarding against a fatigue failure? If the shaft turns out to be unsatisfactory what would you recommend to correct the problem?3. Formulate an optimization problem to minimize the weight of the shaft while satisfying the constraints.4. Solve the optimization problem using any available method.
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