Question

The vertical reaction of a 2-in by 8-in floor joist is 880 lb. If the allowable shear stress in the joist is 170 psi, what is the maximum depth in inches that the joist can be safely notched in accordance with the notching and boring limits.

Answer 1

The maximum depth that the joist can be safely notched is 2.59 inches.

Step-by-step explanation:

To find the maximum depth in inches that the joist can be safely notched, we need to consider the allowable shear stress and the vertical reaction of the joist.

The vertical reaction of the joist is 880 lb. The allowable shear stress is 170 psi. We can use the formula: Maximum depth = (2 * vertical reaction) / (allowable shear stress * width)

Since the width of the joist is 2 inches, we can substitute the given values into the formula to find the maximum depth.

Maximum depth = (2 * 880 lb) / (170 psi * 2 in) = 2.59 in

Therefore, the maximum depth that the joist can be safely notched is 2.59 inches.