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According to ACI 24.2.3.4 Modulüs of elasticity, Ec is calculated in accordance with following equation.

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body--uriencoded--$$ E_%7Bc%7D = 57,000\sqrt%7Bf'_%7Bc%7D%7D \; \; \; \; (in \; psi) \; \; \; \; \; \; \; \;(19.2.2.1.b) $$

According to ACI 24.2.3.5 effective moment of inertia Ie is calculated in accordance with following equation and ACI Table 24.2.3.5.

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body--uriencoded--$$ M_%7Bcr%7D = \frac%7Bf_rI_g%7D%7By_t%7D \; \; \; \; \; \; \; \; \; \; \; \;(124.2.3.5) $$

Service moment

Ie , mm4

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body--uriencoded--$$ M_%7Ba%7D \leq (2/3)M_%7Bcr%7D $$

Ig

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body--uriencoded--$$ M_%7Ba%7D > (2/3)M_%7Bcr%7D $$

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body--uriencoded--$$ \frac%7BI_%7Bcr%7D%7D%7B 1- \Big( \frac%7B(2/3)M_%7Bcr%7D%7D%7BM_a%7D \Big)%5e2 \Big(1- \frac%7BI_%7Bcr%7D%7D%7BI_g%7D \Big) %7D $$

According to ACI 24.2.3.6 for continuous one-way salbs and beams, Ie, can be taken as the average of values obtained from ACI Table 24.2.3.5. for the critical positive and negative moment sections.

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