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Table 2 Effective width for legs of steel angles (Bambach and Rasmussen (2004a, b) and modification).

From: Numerical Investigation on Load-carrying Capacity of High-strength Concrete-encased Steel Angle Columns

Stress distributiona

Local buckling coefficientb, \( k_{b} \) (modified)

Elastic effective widthc, \( b_{{s,{\text{eff}}}} = \rho b_{s} \) (\( \rho \le 1 \))

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

\( \psi \ge 0 \)

\( k_{b} = \left({0.57 - 0.21\,\psi + \,0.07\psi^{2}} \right) + C_{k} \left({\frac{{b_{s}}}{{s_{t}}}} \right)^{2} \)

\( C_{k} = 1.25 - 0.25\,\psi \)

\( \rho =\frac{{\left({1 - \alpha \frac{1}{\lambda}} \right)}}{\lambda} \)

\( \psi < 0 \)

\( \rho =\left({1 - \psi} \right)\frac{{\left({1 - \alpha \frac{{\left({1 - \psi} \right)}}{\lambda}} \right)}}{\lambda} \)

  1. aSS = simply supported edge, Free = free edge, \( f_{1} \), \( f_{2} \) = edge stresses of a plate element (\( f_{1} \ge f_{2} \)), and \( \,\psi = f_{2}/f_{1} \) = ratio of edge stresses (\( \,\left| \psi \right| \le 1 \)).
  2. bTo take into account the effect of transverse reinforcement, the second term \( C_{k} \left({b_{s}/s_{t}} \right)^{2} \) was newly introduced based on the results of finite strip analysis and regression analysis. When battens are used for transverse reinforcement, the center-to-center spacing \( s_{t} \) can be substituted by the clear spacing \( s_{c} = s_{t} - h_{t} \) (\( h_{t} \) = height of a batten).
  3. c\( \lambda = \sqrt {f_{y}/f_{bs}} \), and \( \alpha \) = 0.22 = imperfection sensitivity coefficient to consider initial imperfections.