Research Article
Nonlinear Buckling Analysis of Thin-Walled Box Beams considering Shear Lag
Table 5
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 | 225667 | 211010.28 | 219611.56 | 209332.79 | 217552.50 | 199428.90 | 6.49 | 2.68 | 7.24 | 3.60 | 11.63 | | 8 | 5 | 276309 | 251003.81 | 259641.05 | 251027.69 | 252463.59 | 243544.89 | 9.16 | 6.03 | 9.15 | 8.63 | 11.86 | | 6.5 | 6.5 | 262569 | 235351.25 | 243006.22 | 234300.30 | 238937.94 | 227981.57 | 10.37 | 7.45 | 10.77 | 9.00 | 13.17 | | 8 | 8 | 316051 | 281436.29 | 291725.75 | 279336.82 | 286842.87 | 271458.02 | 10.95 | 7.70 | 6.71 | 9.24 | 14.11 |
| | 4 | 5 | 5 | 180955 | 172317.23 | 178798.82 | 168978.27 | 173469.49 | 163869.54 | 4.77 | 1.19 | 6.62 | 4.14 | 9.44 | | 8 | 5 | 225538 | 200787.04 | 210657.63 | 198495.28 | 204972.31 | 192801.25 | 10.97 | 6.60 | 11.99 | 9.12 | 14.51 | | 6.5 | 6.5 | 208127 | 184138.17 | 193421.92 | 181271.11 | 186802.36 | 176519.44 | 11.53 | 7.07 | 12.90 | 10.25 | 15.19 | | 8 | 8 | 258906 | 226604.06 | 236073.46 | 224016.84 | 231506.06 | 218561.01 | 12.48 | 8.82 | 13.48 | 10.58 | 15.58 |
| | 5 | 5 | 5 | 136689 | 128247.39 | 131239.14 | 128715.02 | 129486.48 | 126401.88 | 6.18 | 3.99 | 8.57 | 5.27 | 7.53 | | 8 | 5 | 161808 | 151369.70 | 155009.15 | 150871.19 | 152871.55 | 146421.74 | 6.45 | 4.20 | 6.76 | 5.52 | 9.51 | | 6.5 | 6.5 | 149180 | 139012.91 | 142197.01 | 138213.96 | 140702.31 | 134633.33 | 6.82 | 4.68 | 7.35 | 5.68 | 9.75 | | 8 | 8 | 184686 | 170382.46 | 175750.00 | 169385.73 | 173025.08 | 163285.86 | 7.74 | 4.84 | 8.28 | 6.31 | 11.59 |
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