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Eriksson Culvert follows ACI 350 chapter 9 for strength and serviceability requirements. This states that the required strength for non-compression controlled sections shall be multiplied by S_d.

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where f_s can be calculated as:

Exposure

One-way

Two-way

Normal

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Severe

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The strain gradient amplification factor (beta) in these equations is calculated as:

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It is permitted to use beta of 1.2 if h >= 16” and 1.35 if h < 16”.

It is also permitted to use 25 for the 4(2 + d_b/2)^2 term as a simplification.