Conclusions
This study evaluated the performance of the design equations given in the Australasian steel and composite design standards AS/NZS 5100.6 [53], AS 4100 [35], NZS 3404.1 [11] and AS/NZS 2327 [52], when the coefficient of variation of steel yield strength was unknown, and there was only a small amount of test data. A capacity factor calibration method was developed when there were infinite or a limited number of material property test data, and an inverse procedure was also developed to calculate the minimum number of material property test data required to achieve the target reliability level for a given capacity factor. The proposed methods were applied to structural members including I-beams, hollow section columns, CFST columns, and composite beams, the following results were obtained: (i) capacity factors for various COV values of steel yield strength; and (ii) The minimum number of material tests required to achieve the target reliability. From the reliability analysis, it was found that the design equations for I beams in AS/NZS 5100.6 [53], AS 4100 [35], and NZS 3404.1 [11] provided safety for a various range of the COV of steel yield strength, and the number of 7–20 material tests were required for the COV of steel yield strength of 7–10%. However, the reliability of hollow section columns was highly depended on the COV of section thickness, and the current design standards are unconservative by not delivering the targeted reliability level. In this case two options are available to remedy this situation: the capacity factors need to be reduced (for partial factor design standards, such as the Eurocodes, it is difficult to see how γM0 = 1.0 is justified); or the manufacturing tolerances for hollow section product standards need to be significantly tightened (the results from this study, suggest that the thickness tolerance should reduce from 10% to 1% of the section thickness).