A concrete column of square cross section (d X d) is subjected to compressive lo

Question

A concrete column of square cross section (d X d) is subjected to compressive load P and is connected to a square footing of dimensions b X b and thickness t. The footing rests on soil at depth D. Assume the bearing stress on the soil is uniform, and ignore the weight of the column and the footing and the soil. Let the allowable bearing stress on the soil be ?-bearing allowable and the allowable punching shear strength of the concrete beTau-shear allowable. (a) Find the load P that will create a bearing stress on the soil equal to ?-bearing allowable. (b) Find the load P that will create a shear stress on the footing (due to the the column on the footing) equal toTau-shear allowable. (c) Set the load P found in (a) equal to the load P found in Tau-shear allowable = 15 ?-bearing allowable.

Explanation / Answer

a)bearing=P/b2

b)shearing=P/{2(D-t)d+2bt}

c)bearing*b2=shearing*{2(D-t)d+2bt}

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