Stress distributiona | Local buckling coefficientb, \( k_{b} \) (modified) | Elastic effective widthc, \( b_{{s,{\text{eff}}}} = \rho b_{s} \) (\( \rho \le 1 \)) | |
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SS \( \ge \) Free | \( \psi \ge 0 \) | \( k_{b} = \left({\frac{0.578}{\psi + 0.34}} \right) + C_{k} \left({\frac{{b_{s}}}{{s_{t}}}} \right)^{2} \) \( C_{k} = 2.5 - 2.5\,\psi + \,1.0\psi^{2} \) | \( \rho =\frac{{\left({1 - \alpha \frac{1}{\lambda}} \right)}}{\lambda} \) |
\( \psi < 0 \) | \( k_{b} = \left({1.7 - 5\,\psi + \,17.1\psi^{2}} \right) +C_{k} \left({\frac{{b_{s}}}{{s_{t}}}} \right)^{2} \) \( C_{k} = 2.5 - 1.2\,\psi - 0.6\psi^{2} \) | \( \rho =\left({1 + \psi} \right)\frac{{\left({1 - \alpha \frac{1}{\lambda}} \right)}}{\lambda} \) | |
Free \( \ge \) SS | \( \psi \ge 0 \) | \( k_{b} = \left({0.57 - 0.21\,\psi + \,0.07\psi^{2}} \right) + C_{k} \left({\frac{{b_{s}}}{{s_{t}}}} \right)^{2} \) \( C_{k} = 1.25 - 0.25\,\psi \) | \( \rho =\frac{{\left({1 - \alpha \frac{1}{\lambda}} \right)}}{\lambda} \) |
\( \psi < 0 \) | \( \rho =\left({1 - \psi} \right)\frac{{\left({1 - \alpha \frac{{\left({1 - \psi} \right)}}{\lambda}} \right)}}{\lambda} \) |