RCC Structures Design
‘P’ is the pre-stressed force applied to tendon of a rectangular pre-stressed beam whose area of cross section is ‘A’ and sectional modulus is ‘Z’. The minimum stress ‘f’ on the beam subjected to a maximum bending moment ‘M’ is

f = (P/A) - (M/Z)
f = (P/A) - (M/6Z)
f = (P/'- (Z/M)
f = (A/P) - (M/Z)

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

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RCC Structures Design
In a singly reinforced beam

Compression is borne entirely by concrete
Plane sections transverse to the centre line of the beam before bending remain plane after bending
Steel possesses initial stresses when embedded in concrete
Elastic moduli for concrete and steel have different values within the limits of deformation of the beam

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