Question

Consider the following situational data that was obtained in a machine design analysis of loads and stress acting on a machine component, with a selected material. τ13=170MPa,σ′=335MPa,Sy =450MPa Determine the factor of safety, n, using the Maximum Shear Stress (MSS) theory. Provide your answer with no units and one decimal place.

Answer 1

The factor of safety using the Maximum Shear Stress (MSS) theory is approximately 2.6.

Step-by-step explanation:

The Maximum Shear Stress (MSS) theory is used to determine the factor of safety. The formula for calculating the factor of safety (n) using the MSS theory is: n = Sy / τ13. In this case, τ13 = 170MPa and Sy = 450MPa. Substituting these values into the formula, we get: n = 450MPa / 170MPa ≈ 2.6 (rounded to one decimal place).