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Table 1 Expressions of multipliers for Λ and Ω in \( \phi_{eq} = \frac{3}{4} \cdot \frac{{(\Lambda )^{2} }}{\Omega } \) and \( L_{eq} = - \frac{2}{3} \cdot \frac{\Omega }{\Lambda } \) (Eq. (2)).

From: Balanced Ratio of Concrete Beams Internally Prestressed with Unbonded CFRP Tendons

Sections

L s

ω s

κ s

Locations

Symbols (s)

Beam end

es

\( - \frac{{M_{es} }}{{M_{us} }}L_{sp} \)

L es

ω es (3L sp  - L es )

Cracked section

cs

\( \frac{{M_{es} + M_{cs} }}{{M_{us} }}L_{sp} \)

− (L cs  + L us )

ω cr (L cs  + 2L ys  + 3L us )

Yield section

ys

\( \frac{{M_{ys} - M_{cs} }}{{M_{us} }}L_{sp} \)

− (L ys  + L us )

ω ys (L ys  + 2L us )

Ultimate section

us

\( \left( {1 - \frac{{M_{ys} }}{{M_{us} }}} \right) \cdot L_{sp} \)

− L us

ω us  · L us