If q is the punching shear resistance per unit area a, is the side of a square footing for a column of side b, carrying a weight W including the weight of the footing, the depth (D) of the footing from punching shear consideration, is
A)D = W (a - b)/4a²bq
B)D = W (a² -b²)/4a²bq
C)D = W (a² -b²)/8a²bq
D)D = W (a² - b²)/4abq

Question

Quizplus · Accepted Answer

Punching shear resistance is a measure of the ability of a material to withstand a punching shear force. The formula for the depth (D) of a footing from punching shear consideration, given the parameters in the question, is derived from the basic principles of equilibrium and stress distribution. The correct formula accounts for the difference in area between the square footing and the column (a² - b²), the weight W, and the punching shear resistance per unit area (q), leading to the formula D = W (a² - b²)/4a²bq. This formula correctly balances the dimensions and units to provide the depth needed to resist the punching shear force.

If Q Is the Punching Shear Resistance Per Unit Area