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| body | --uriencoded--$$ \huge Large %7Bα = β_1c%7D $$ |
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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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| body | --uriencoded--$$ \Large C_c = 0.85f_c%5e'(b_wα) $$ |
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| body | $$ \Large C_s = A_sf_y $$ |
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From the equation of equilibrium:
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| body | $$ \Large C_c = C_s $$ |
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| body | --uriencoded--$$ \Large A_sf_y = 0.85f_c%5e'(b_wα) $$ |
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| body | --uriencoded--$$ \Large M_n = 0.85f_c%5e'(b_wα)(d-\frac α 2) $$ |
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or
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| body | $$ \Large M_n = A_sf_y(d-\frac α 2) $$ |
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