Solved step by step with explanation. - Shaft Diameter Calculation

Question

Solved step by step with explanation. - Shaft Diameter Calculation

Step 2: Analyzing Equilibrium

Since the shaft is in equilibrium, the sum of moments about any point should be zero. In this case, we can use the fact that the moment at point A is equal to the moment at point B:

Solving for B:

B = (300 N * 400 mm) / 150 N ≈ 800 mm

The bending stress (σ) is calculated using the formula:

σ = (32 * M) / (π * d^3)

Substituting the values:

d = ((32 * 120000 N·mm) / (π * 150 MPa))^(1/3)

In conclusion, by analyzing the equilibrium of the shaft and calculating the bending stress at critical points, we determined that the minimum diameter required to ensure the allowable bending stress is not exceeded is approximately 40 mm. This is significantly different from the value of 400 mm indicated in the diagram.