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GEO5 software

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Verification of Circular 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 compression zone x is less than the limit depth of compression zone ξb*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 Vc:

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 Vmax is checked (Art. 6.3.1).

for h0/b ≤ 4

for h0/b ≥ 6

intermediate values are obtained using linear interpolation method

βc = 1 for: ≤ C50

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

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

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