Research Article
Determination of Modelling Error Statistics for Cold-Formed Steel Columns
Table 8
Results of Chi-square goodness-of-fit test for resistance simulation (database column no. 18—flexure-torsion mode of buckling).
| | Design standard | RVs | Assumed distribution (DOF) | Computed Chi-square value | Allowable Chi-square value | Null hypothesis | | At α = 5% | At α = 1% |
| | ASCE 10-15 (2015) | Fy, E, & ME | Normal (77) | 2.460 × 1010 | 98.202 | 108.375 | Rejected | | Lognormal (77) | 7.164 × 10−5 | Accepted | | Fy & E | Normal (77) | 0.0024 | 98.202 | 108.375 | Accepted | | Lognormal (77) | 8.663 × 10−5 | Accepted |
| | AISI S100-16 (2006) & AS/NZS 4600: 2018 (2018) | Fy, Fu, E, & ME | Normal (77) | 2.032 × 107 | 98.202 | 108.375 | Rejected | | Lognormal (77) | 2.781 × 10−4 | Accepted | | Fy, Fu, & E | Normal (77) | 0.0017 | 98.202 | 108.375 | Accepted | | Lognormal (77) | 0.0394 | Accepted |
| | EN 1993-1-3:2006 (2006) | Fy, Fu, E, & ME | Normal (77) | 2.220 × 109 | 98.202 | 108.375 | Rejected | | Lognormal (77) | 8.753 × 10−5 | Accepted | | Fy, Fu, & E | Normal (77) | 0.003 | 98.202 | 108.375 | Accepted | | Lognormal (77) | 1.347 × 10−4 | Accepted |
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