Verification of rectangular RC cross-section under M, V

The cross-section is rectangular, reinforced on one side and loaded by the bending moment M^*.

The ultimate moment is provided by:

for f_c^' < 55MPa is α₁ = 0.85

for concrete with greater strength is

for f_c^' < 30MPa is β₁ = 0.85

for concrete with greater strength is

The program further checks whether the location of neutral axis c is less than the limit location of neutral axis 0.75c_b given by:

The computed degree of reinforcement is checked using the following expressions:

Shear

where:

First, the program computes the ultimate shear strength of concrete V_c.

for cross-sections with height smaller than 200mm

v_c is computed acording to following formulas for cross-sections with height greater than 400mm, intermediate values are obtained using linear interpolation method.

where ρ_w is degree of reinforcement and f_c^' is limited to value 50MPa.

If the ultimate shear strength of concrete is exceeded, the ultimate shear strength V_max is checked.

Next, the necessary reinforcement area is given by: