RCC Structures Design
Pick up the assumption for the design of a pre-stressed concrete member from the following:

Variation of stress in reinforcement due to changes in external loading is negligible
A transverse plane section remains a plane after bending
During deformation limits, Hook's law is equally applicable to concrete as well as to steel
All listed here

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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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