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body$$ α = β_1c $$

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body$$ α = β_1c $$

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$$ α = β_1c $$ 
  • The distance between the fiber of maximum compressive stress and the neutral axis, c, is perpendicular to the neutral axis.

  • The value of β1 is determined using Codes.

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The total forces Cc and Cs resulting from the stresses of concrete and reinforcement are shown below.

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body--uriencoded--$$ C_c = 0.85f_c%5e'(b_wα) $$
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body$$ C_s = A_sf_y $$

From the equation of equilibrium:

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body$$ C_c = C_s $$
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body--uriencoded--$$ A_sf_y = 0.85f_c%5e'(b_wα) $$

Nominal flexural strength Mn:

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body--uriencoded--$$ M_n = 0.85f_c%5e'(b_wα)(d-\frac α 2) $$
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body$$ M_n = A_sf_y(d-\frac α 2) $$