Table 11 Ultimate load for confined columns.
Parameters | E-A1S | E-A2S | E-A3S | E-A4S |
|---|---|---|---|---|
\(\rho _{sx} = \frac{A_{lx}}{s \cdot d_y}\) | 0.0077 | 0.007 | 0.00386 | 0.0077 |
\(\rho _{sy} = \frac{A_{ly}}{s \cdot d_x}\) | 0.0077 | 0.007 | 0.00386 | 0.0077 |
\(f_{l,sx} = \rho _{sx} f_{syh}\) | 1.925 | 1.925 | 0.9661 | 1.925 |
\(f_{l,sy} = \rho _{sy} f_{syh}\) | 1.925 | 1.925 | 0.9661 | 1.925 |
\(\rho _{jx} = \frac{2t_j}{t_y}\) | 0.2 | 0.2 | 0.2 | 0.2 |
\(\rho _{jy} = \frac{2t_j}{t_x}\) | 0.2 | 0.2 | 0.2 | 0.2 |
\(f_{l,jx} = \rho _{jx} \cdot 0.005E_p\) | 30 | 30 | 30 | 15 |
\(f_{l,jy} = \rho _{jy} \cdot 0.005E_p\) | 30 | 30 | 30 | 15 |
\(F_l = \max (f_{l,jx}, f_{l,jy})\) | 30 | 30 | 30 | 15 |
\(f_l = \min (f_{l,jx}, f_{l,jy})\) | 30 | 30 | 30 | 15 |
\(\alpha _l = 1.25(1.8\sqrt{1 + 7.94 \frac{F_l}{f_c'}} - 1.6 \frac{F_l}{f_c'} - 1)\) | 5.382 | 5.382 | 5.382 | 3.99 |
\(\alpha _2 = \left( \frac{f_l}{F_l} - 0.6\left( \frac{f_l}{F_l} \right) ^2 - 0.8 \right) \sqrt{ \frac{E_l}{f_c'} } + 1\) | 1 | 1 | 1 | 1 |
\(K_c = \alpha _l \cdot \alpha _2\) | 5.382 | 5.382 | 5.382 | 3.99 |
\(f_{cc}' = K_c f_c'\) | 59.91 | 59.91 | 59.91 | 16.925 |
\(f_{l,x} = f_{l,sx} + f_{l,jx}\) | 30.966 | 30.966 | 30.966 | 16.925 |
\(f_{l,y} = f_{l,sy} + f_{l,jy}\) | 30.966 | 30.966 | 30.966 | 16.925 |
\(F_l = \max (f_{l,x}, f_{l,y})\) | 30.966 | 30.966 | 30.966 | 16.925 |
\(f_l = \min (f_{l,x}, f_{l,y})\) | 30.966 | 30.966 | 30.966 | 16.925 |
\(\alpha _l = 1.25(1.8\sqrt{1 + 7.94 \frac{F_l}{f_c'}} - 1.6 \frac{F_l}{f_c'} - 1)\) | 3.507 | 3.507 | 3.507 | 3.59 |
\(\alpha _2 = \left( \frac{f_l}{F_l} - 0.6\left( \frac{f_l}{F_l} \right) ^2 - 0.8 \right) \sqrt{ \frac{E_l}{f_c'} } + 1\) | 1 | 1 | 1 | 1 |
\(K_c = \alpha _l \cdot \alpha _2\) | 3.51 | 3.51 | 3.51 | 3.59 |
\(f_{cc,js}' = K_c f_c'\) | 105.21 | 105.21 | 105.21 | 53.85 |
\(W_s'\) in x-direction | 36 | 40 | 36 | 36 |
\(W_s'\) in y-direction | 36 | 40 | 36 | 36 |
\(Acc,j = t_x t_y - A_s - (4r^2 - \pi r^2)\) | 9203.84 | 9342 | 9203.84 | 9203.84 |
\(Ae,j = t_x t_y - \frac{W_{jx}^2 + W_{jy}^2}{3\tan \theta _j} - A_s\) | 6803.84 | 6942 | 6803.84 | 6803.84 |
\(Ae,s = (d_x d_y - \sum \frac{W_s^2}{6})(1 - 0.5 \frac{s'}{d_x})(1 - 0.5 \frac{s'}{d_y})\) | 1148.64 | 716.94 | 1148.64 | 1148.64 |
\(A_{cu} = Acc,j - Ae,j\) | 2400 | 2400 | 2400 | 2400 |
\(Ac_j = Ae,j - Ae,s\) | 6040.82 | 6225.06 | 6040.82 | 6040.84 |
\(Ac_{js} = Ae,s\) | 762.99 | 716.94 | 762.99 | 762.99 |
\(P_{cn} = 0.3 f_c' A_{cu} + f_{cc,j}' Ac_j + f_{ccjs}' Ac_{js}\) | 594.52 | 571.06 | 591.53 | 304.5 |
\(CR = \frac{P_{cn}}{\Phi P_n}\) | 2.46 | 2.7 | 2.45 | 1.76 |
