Research Article
Nonlinear Buckling Analysis of Thin-Walled Box Beams considering Shear Lag
Table 7
Buckling moments and relative errors when the load height is
m.
| L (m) | t2 (mm) | t4 (mm) | Buckling moments in (KN·m) | Δ1 (%) | Δ2 (%) | Δ3 (%) | Δ4 (%) | Δ5 (%) | FEA | Meftah | Present nonlinear | Present linear | Tan nonlinear | Tan linear |
| 3 | 5 | 5 | 227568 | 218984.20 | 224733.00 | 213629.25 | 220487.77 | 208314.22 | 3.77 | 1.25 | 6.13 | 3.11 | 8.46 | 8 | 5 | 286538 | 271574.24 | 279651.51 | 267208.35 | 271402.49 | 261601.91 | 5.22 | 2.40 | 6.75 | 5.28 | 8.70 | 6.5 | 6.5 | 280801 | 261425.78 | 273238.50 | 261238.57 | 264030.17 | 253839.75 | 6.90 | 2.69 | 6.97 | 5.97 | 9.60 | 8 | 8 | 321619 | 286037.73 | 309914.91 | 285676.66 | 291390.65 | 278627.90 | 11.06 | 3.64 | 11.18 | 9.40 | 13.37 |
| 4 | 5 | 5 | 193686 | 176416.22 | 184194.28 | 175451.18 | 180291.54 | 171150.55 | 8.92 | 4.90 | 9.41 | 6.92 | 11.64 | 8 | 5 | 252012 | 227827.91 | 239620.01 | 225511.64 | 230640.22 | 221674.48 | 9.60 | 4.92 | 10.52 | 8.48 | 12.04 | 6.5 | 6.5 | 231983 | 210841.97 | 220204.92 | 206846.99 | 211561.88 | 201911.15 | 9.11 | 5.08 | 10.84 | 8.80 | 12.96 | 8 | 8 | 297230 | 270095.40 | 282007.76 | 263162.24 | 270816.00 | 257204.08 | 9.13 | 5.12 | 11.46 | 8.89 | 13.47 |
| 5 | 5 | 5 | 138719 | 129404.94 | 136127.97 | 130180.71 | 134545.10 | 129216.81 | 6.71 | 1.87 | 6.16 | 3.01 | 6.85 | 8 | 5 | 163506 | 151520.11 | 157885.73 | 149802.14 | 154473.85 | 144995.82 | 7.33 | 3.44 | 8.38 | 5.52 | 11.32 | 6.5 | 6.5 | 160061 | 147786.97 | 152596.97 | 143508.83 | 150411.54 | 140978.89 | 7.67 | 4.66 | 10.34 | 6.03 | 11.92 | 8 | 8 | 186072 | 170100.49 | 177063.44 | 166817.47 | 174786.55 | 163819.47 | 8.58 | 4.84 | 10.35 | 6.07 | 11.96 |
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