Research Article
Nonlinear Buckling Analysis of Thin-Walled Box Beams considering Shear Lag
Table 6
Buckling moments and relative errors when the load height is
m.
| L (m) | t2 (mm) | t4 (mm) | Buckling moments (KN·m) | Δ1 (%) | Δ2 (%) | Δ3 (%) | Δ4 (%) | Δ5 (%) | FEA | Meftah | Present nonlinear | Present linear | Tan nonlinear | Tan linear |
| 3 | 5 | 5 | 225835 | 213002.21 | 223166.87 | 211266.27 | 220136.36 | 206738.29 | 5.68 | 1.18 | 6.45 | 2.52 | 8.46 | 8 | 5 | 284822 | 259501.48 | 263471.40 | 252847.55 | 261261.62 | 248003.56 | 8.89 | 7.50 | 11.23 | 8.27 | 12.93 | 6.5 | 6.5 | 279215 | 250135.71 | 255005.17 | 246604.78 | 253219.72 | 242447.34 | 10.41 | 8.67 | 11.68 | 9.31 | 13.17 | 8 | 8 | 319554 | 285775.59 | 291819.43 | 282277.02 | 288867.14 | 276512.60 | 10.57 | 8.68 | 11.67 | 9.60 | 13.47 |
| 4 | 5 | 5 | 185347 | 173739.28 | 179231.77 | 170477.61 | 179247.22 | 166251.83 | 6.26 | 3.30 | 8.02 | 3.29 | 10.30 | 8 | 5 | 232178 | 214779.69 | 222355.92 | 202710.09 | 217341.62 | 200551.73 | 7.49 | 4.23 | 12.69 | 6.39 | 13.62 | 6.5 | 6.5 | 224293 | 204061.08 | 214146.40 | 194871.77 | 205642.26 | 191828.59 | 9.02 | 4.52 | 13.12 | 8.32 | 14.47 | 8 | 8 | 295826 | 268658.00 | 281732.67 | 256199.83 | 269211.21 | 252482.85 | 9.18 | 4.76 | 13.40 | 9.00 | 14.62 |
| 5 | 5 | 5 | 138531 | 129328.49 | 133717.80 | 128925.13 | 130852.96 | 127093.14 | 6.64 | 3.47 | 6.93 | 5.54 | 8.26 | 8 | 5 | 162876 | 148774.34 | 155911.16 | 147076.83 | 152361.35 | 144382.62 | 8.66 | 4.28 | 9.70 | 6.46 | 11.35 | 6.5 | 6.5 | 159572 | 145679.79 | 152418.63 | 143205.59 | 147403.37 | 140670.70 | 8.71 | 4.48 | 10.26 | 7.63 | 11.84 | 8 | 8 | 185976 | 168907.25 | 176252.37 | 165829.93 | 171598.74 | 162866.93 | 9.18 | 5.23 | 10.83 | 7.73 | 12.43 |
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