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Flexular Crack in Concrete Beam
Contents [show]
For the simply supported beam of Figure 1, determine the uniformly distributed load, q, at which the flexural crack forms. The beam has a length L=7m, and f’c=25Mpa.
Figure 1: Cross-section of Concrete Beam
Solution
First crack occurs when the maximum tensile stress in concrete, ft, reaches the rupture modulus of concrete, fr.
The tensile stress, calculated from elastic theory, is:
According to ACI, the modulus of rupture of concrete is:
Therefore:
The uniformly distributed load, q, at which the flexural crack forms is thus calculated as:
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