Question

For the 3-in. diameter solid cylinder and loading shown, determine the maximum shear stress.

Answer 1

To determine the maximum shear stress, we need to use the formula Shear stress (τ) = Force (F) / Area (A).

Step-by-step explanation:

The maximum shear stress can be determined using the formula:

Shear stress (τ) = Force (F) / Area (A)

First, we need to calculate the area of the solid cylinder using its diameter. Since the diameter is given as 3 inches, the radius (r) is half of that, which is 1.5 inches or 1.5/12 = 0.125 feet.

Next, we need to convert the force from pounds to Newtons. Assuming the force is given in pounds, we can use the conversion factor 1 pound = 4.448 Newtons. The shear stress is then given by:

Shear stress (τ) = (Force in Newtons) / (π * (radius)²)

Substituting the values, we have:

Shear stress (τ) = (Force in Newtons) / (π * (0.125 feet)²)