Question

Calculate shear force on a beam if the stress 354.00 psi at a depth of d from the top surface of the beam shown. Assume d 4 in, b-8 in, and h-11 in

Answer 1

Step-by-step explanation:

To calculate the shear force on a beam, we need to use the formula for shear stress, which is the force acting parallel to the cross-sectional area of the beam. The formula for shear stress is:

Shear Stress (τ) = (Shear Force (V) * Distance from the neutral axis (d)) / (Area of cross-section (A))

Given that the stress (τ) is 354.00 psi at a depth (d) of 4 inches from the top surface of the beam, and the dimensions of the beam are b = 8 inches (width) and h = 11 inches (height), we can rearrange the formula to solve for the shear force (V):

V = (τ * A) / d

First, let's calculate the area of the cross-section (A) of the beam:

Area (A) = b * h

Now, we can calculate the shear force (V):

V = (354.00 psi * (8 in * 11 in)) / 4 in

V = (354.00 psi * 88 in^2) / 4 in

V = 7803.84 lb (pound)

The shear force acting on the beam is approximately 7803.84 pounds.