RCC Structures Design
If R and T are rise and tread of a stair spanning horizontally, the steps are supported by a wall on one side and by a stringer beam on the other side, the steps are designed as beams of width

R + T
√(R² + T²)
R - T
T - R

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

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RCC Structures Design
Steel beam theory is used for

Design of simple steel beams
Steel beams encased in concrete
Doubly reinforced beams ignoring compressive stress in concrete
Beams if shear exceeds 4 times allowable shear stress

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