Determining the Diameter of a Steel Shaft with a Concentrated Cyclic Load

To determine the diameter of a steel shaft subjected to a concentrated cyclic load with a factor of safety of 2, we need to follow a specific process. First, we calculate the maximum bending stress using the formula and then apply the factor of safety. Substituting the values given in the problem, we can determine the diameter of the shaft.

Calculation of Maximum Bending Stress:

The maximum bending stress in a shaft 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 of the shaft.

Application of Factor of Safety:

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

d = √[(M * c) / (σ allowable * π)]

Calculation of Shaft Diameter:

Substitute the values of the bending moment, distance, moment of inertia, allowable stress, and factor of safety into the formula to calculate the diameter of the steel shaft.

By following this process, we can determine the appropriate diameter of the steel shaft to ensure it can withstand the cyclic load with a factor of safety of 2.