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 |