# Behavior of Circular CFST Columns Subjected to Different Lateral Impact Energy
## 4 Calculation Formula
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline
**Specimen** & \(f_{\gamma}\) & \(f_{\alpha}\) & \(f_{\alpha}\) & \(\xi\) & \(\alpha\) & \(\beta\) & \(N_{\rm r}\) & \(N_{\rm re}\) & \(\rho\) & **Error** \\  & **(MPa)** & **(MPa)** & **(MPa)** & **(MPa)** & & & **(kN)** & **(kN)** & **(N\({}_{\rm re}\)/\(N_{\rm r}\))** & **(\%)** \\ \hline C20-L0-E0 & 264 & 352 & 22.13 & 2.51 & – & – & 594.10 & – & – & – \\ C20-10.50-E5000 & 264 & 352 & 22.13 & 2.51 & 0.50 & 1.00 & 500.15 & 508.74 & 1.02 & 2 \\ C20-10.50-E7500 & 264 & 352 & 22.13 & 2.51 & 0.50 & 1.50 & 510.00 & 495.33 & 0.97 & \(-\)3 \\ C20-L0.50-E1000 & 264 & 352 & 22.13 & 2.51 & 0.50 & 2.50 & 550.20 & 471.46 & 0.86 & \(-\)14 \\ C20-L0.50-E15000 & 264 & 352 & 22.13 & 2.51 & 0.50 & 3.00 & 490.20 & 459.33 & 0.94 & \(-\)6 \\ C20-L0.33-E5000 & 264 & 352 & 22.13 & 2.51 & 0.33 & 1.00 & 523.75 & 476.43 & 0.91 & \(-\)9 \\ C20-L0.33-E7500 & 264 & 352 & 22.13 & 2.51 & 0.33 & 1.50 & 500.30 & 466.09 & 0.93 & \(-\)7 \\ C20-L0.33-E10000 & 264 & 352 & 22.13 & 2.51 & 0.33 & 2.00 & 550.10 & 452.29 & 0.82 & \(-\)18 \\ C20-L0.33-E12500 & 264 & 352 & 22.13 & 2.51 & 0.33 & 2.50 & 475.25 & 443.60 & 0.93 & \(-\)7 \\ C20-L0.33-E15000 & 264 & 352 & 22.13 & 2.51 & 0.33 & 3.00 & 500.25 & 434.02 & 0.87 & \(-\)13 \\ C20-L0.25-E5000 & 264 & 352 & 22.13 & 2.51 & 0.25 & 1.00 & 500.30 & 461.65 & 0.92 & \(-\)8 \\ C20-L0.25-E7500 & 264 & 352 & 22.13 & 2.51 & 0.25 & 1.50 & 460.25 & 452.94 & 0.98 & \(-\)2 \\ C20-L0.25-E10000 & 264 & 352 & 22.13 & 2.51 & 0.25 & 2.00 & 468.70 & 439.29 & 0.94 & \(-\)6 \\ C20-L0.25-E12500 & 264 & 352 & 22.13 & 2.51 & 0.25 & 2.50 & 385.20 & 428.52 & 1.11 & 11 \\ C20-L0.25-E15000 & 264 & 352 & 22.13 & 2.51 & 0.25 & 3.00 & 337.85 & 418.32 & 1.24 & 24 \\ C30-L0.E0 & 264 & 352 & 32.70 & 1.70 & – & – & 580.00 & – & – & – \\ C30-L0.50-E5000 & 264 & 352 & 32.70 & 1.70 & 0.50 & 1.00 & 563.10 & 558.13 & 0.99 & \(-\)1 \\ C30-L0.50-E7500 & 264 & 352 & 32.70 & 1.70 & 0.50 & 1.50 & 640.00 & 546.79 & 0.85 & \(-\)15 \\ C30-L0.50-E1000 & 264 & 352 & 32.70 & 1.70 & 0.50 & 2.00 & 540.10 & 533.21 & 0.99 & \(-\)1 \\ C30-L0.50-E15000 & 264 & 352 & 32.70 & 1.70 & 0.50 & 2.00 & 486.80 & 519.54 & 1.07 & 7 \\ C30-L0.50-E15000 & 264 & 352 & 32.70 & 1.70 & 0.50 & 3.00 & 550.00 & 506.49 & 0.92 & \(-\)8 \\ C30-L0.33-E5000 & 264 & 352 & 32.70 & 1.70 & 0.33 & 1.00 & 575.10 & 523.13 & 0.91 & \(-\)9 \\ C30-L0.33-E7500 & 264 & 352 & 32.70 & 1.70 & 0.33 & 1.50 & 370.05 & 508.99 & 1.38 & 38 \\ C30-L0.33-E10000 & 264 & 352 & 32.70 & 1.70 & 0.33 & 2.00 & 559.50 & 501.25 & 0.90 & \(-\)10 \\ C30-L0.33-E15200 & 264 & 352 & 32.70 & 1.70 & 0.33 & 2.50 & 460.00 & 489.01 & 1.06 & 6 \\ C30-L0.33-E15000 & 264 & 352 & 32.70 & 1.70 & 0.33 & 3.00 & 379.45 & 478.45 & 1.26 & 26 \\ C30-L0.25-E5000 & 264 & 352 & 32.70 & 1.70 & 0.25 & 1.00 & 566.75 & 504.22 & 0.89 & \(-\)11 \\ C30-L0.25-E7500 & 264 & 352 & 32.70 & 1.70 & 0.25 & 1.50 & 550.00 & 493.44 & 0.90 & \(-\)10 \\ C30-L0.25-E10000 & 264 & 352 & 32.70 & 1.70 & 0.25 & 2.00 & 474.95 & 482.32 & 1.02 & 2 \\ \hline \end{tabular}
\end{table} 
Table 6: Comparison of residual ultimate axial capacity between formula and experiment.