RCC Structures Design
If p₁ and p₂ are mutually perpendicular principal stresses acting on a soil mass, the normal stress on any plane inclined at angle θ° to the principal plane carrying the principal stress p₁, is:

[(p₁ + p₂)/2] + [(p₁ - p₂)/2] cos 2θ
[(p₁ + p₂)/2] + [(p₁ - p₂)/2] sin 2θ
[(p₁ - p₂)/2] + [(p₁ + p₂)/2] cos 2θ
[(p₁ - p₂)/2] + [(p₁ + p₂)/2] sin 2θ

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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
During deformation limits, Hook's law is equally applicable to concrete as well as to steel
All listed here
A transverse plane section remains a plane after bending

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RCC Structures Design
If the length of a combined footing for two columns l meters apart is L and the projection on the left side of the exterior column is x, then the projection y on the right side of the exterior column, in order to have a uniformly distributed load, is (where x̅ is the distance of centre of gravity of column loads).

y = L/2 - (l - x̅)
y = L/2 - (l + x̅)
y = L/2 + (l - x̅)
y = L - (l - x̅)

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