RCC Structures Design
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

D = W (a² - b²)/8a²bq
D = W (a² - b²)/4abq
D = W (a² - b²)/4a²bq
D = W (a - b)/4a²bq

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RCC Structures Design
If A is the area of the foundation of a retaining wall carrying a load W and retaining earth of weight 'w' per unit volume, the minimum depth (h) of the foundation from the free surface of the earth, is

h = (W/Aw) [(1 - sin φ)/(1 + sin φ)]²
h = √(W/Aw) [(1 - sin φ)/(1 + sin φ)]²
h = (W/Aw) [(1 - sin φ)/(1 + sin φ)]
h = (W/Aw) [(1 + sin φ)/(1 + sin φ)]

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