Design net cross-section resistances for numerical design analyses of weakened tensile plates with real material properties

Abstract

Design net cross-section resistances for numerical design analyses of weakened tensile plates with real material properties have been established. Datasets of possible resistances for each considered geometry type were generated using a Monte Carlo-based procedure, combining a numerical-analytical approach with statistical functions of real material properties and real thicknesses reported in the literature. The generated datasets and the applied numerical - analytical approach were validated against experimental results. Subsequently, the datasets were statistically evaluated in accordance with EN 1990, and design net cross-section resistances with partial safety factors for tensile resistance were determined. The maximum obtained partial safety factor is 1.22, closely matching the recommended value of 1.23 reported in the literature. The most critical geometry types were smooth double notches, round double notches, and either sharp double notches or a narrow slotted hole. Plates with single holes or slotted holes exhibit lower design resistance than comparable double-notch plates. Additionally, staggered holes reduce resistance, whereas multiple holes in line have little effect. The results provide statistically guaranteed criteria suitable for numerical design analyses with real material properties and support harmonization with Eurocode-based practice. The findings of this study, particularly the derived design resistances, form a foundation for establishing design failure criteria for numerical design calculations performed with nominal material properties and nominal geometry in a future study.