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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

**Figure 1**: Cross-section of Concrete Beam

First crack occurs when the maximum tensile stress in concrete, ** f_{t}**, reaches the rupture modulus of concrete,

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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