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Verification of Rectangular RC Cross Section

The cross-section is rectangular, unilaterally reinforced, and loaded by the bending moment and normal compression force. The program verifies a reinforced concrete section using the method of limit deformation (Art. 6.2.1). The maximum allowable strain of concrete in compression is 0.002 to 0.0033. Compression reinforcement is not taken into account.

The computed degree of reinforcement is checked using the following expressions (Art. 8.5.1):

Interaction diagram N-M

Usage ratio of concrete cross-section subject to the combination of bending moment and normal force is determined as |0L| / |0R|. Where L is load and R is strength with prescribed eccentricity.

Bending without normal force

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

The ultimate moment is provided by (Art. 6.2.10):

α₁ = 1 for: ≤ C50

α₁ = 0.94 for: ≥ C80, intermediate values are obtained using linear interpolation method (Art. 6.2.6).

The program further checks whether the depth of the compression zone x is less than the limit depth of compression zone ξ_b*h₀ given by (Art. 6.2.7):

β₁ = 0.8 for: ≤ C50

β₁ = 0.74 for: ≥ C80, intermediate values are obtained using linear interpolation method (Art. 6.2.6).

Shear

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

For flexural element (Art. 6.3.3):

For compression element (Art. 6.3.12):

For tension element (Art. 6.3.14):

If the ultimate shear strength of concrete is exceeded, the ultimate shear strength V_max is checked (Art. 6.3.1).

for h₀/b ≤ 4

for h₀/b ≥ 6

intermediate values are obtained using a linear interpolation method

β_c = 1 for: ≤ C50

β_c = 0.8 for: ≥ C80, intermediate values are obtained using linear interpolation method.

Next, the necessary reinforcement area is given by (Art. 6.3.4).