Question

A steel shaft of 600 mm length is simply supported at its end. It is subjected to a concentrated cyclic load at the mid that varies from 20 to 40kN. Determine the diameter of the shaft by taking a factor of safety of 2 .

Answer 1

To determine the diameter of the steel shaft, calculate the maximum bending stress and apply the factor of safety . Substituting the values given in the problem, we can calculate the diameter of the shaft.

Step-by-step explanation:

To determine the diameter of the steel shaft, we need to calculate the maximum bending stress and then apply the factor of safety.

The bending stress can be calculated using the formula:

Bending Stress (σ) = (M * c) / I

where M is the bending moment, c is the distance from the neutral axis to the outer fiber, and I is the moment of inertia.

The factor of safety is the ratio of the allowable stress to the maximum stress. By rearranging the formula for the bending stress, we can solve for the diameter:

d = √[(M * c) / (σ allowable * π)]

Substituting the values given in the problem, we can calculate the diameter of the shaft.