Numerical modeling of load-bearing corrugated board using. An equivalent orthotropic plate

Keywords: metal structures, profile, stiffness, corrugated board, numerical model, orthotropic plate

Abstract

Due to their high efficiency in terms of weight-stiffness and weight-strength, profiled steel sheets are widely used in modern construction as load-bearing elements for roofs, floors, and sandwich panels. The peculiarities of their design determine their pronounced orthotropic behavior, which requires special approaches to numerical modeling. While traditional three-dimensional finite element models provide high accuracy, they are excessively resource-intensive for practical design in the LIRA-CAD and SCAD Office software environments. This creates an urgent need for simplified, but at the same time sufficiently accurate, equivalent models. In this paper, we propose a numerical and analytical methodology for replacing corrugated sheeting with an equivalent orthotropic plate that reproduces the main characteristics of the sheet's bending stiffness in the main directions. Virtual experiments in the LIRA-SAPR environment allowed us to obtain the maximum deflections of the corrugated board under load along and across the stiffeners, which served as the basis for calculating the equivalent elastic moduli, Poisson's ratio, and shear modulus. The verification of the results confirms the ability of the orthotropic model to adequately reproduce not only the deformation behavior, but also allows for the assessment of the strength of the profiled plate under a typical load. The developed approach allows engineers to use simpler plate models in design calculations without losing accuracy, which is especially valuable in problems with a large number of elements. The usefulness of the proposed model will be especially noticeable when modeling large areas of roof coverings and in optimization design, where speed and computing resources are critical. The developed model allows us to effectively assess the permissible loads on corrugated board according to the criteria of maximum deflection and strength, taking into account the options for support and the length of the spans.

Published
2025-07-19
How to Cite
Velychkovych , A. S., AndrusiakА. V., Kozak О. V., Paliichuk І. І., & Kulai В. В. (2025). Numerical modeling of load-bearing corrugated board using. An equivalent orthotropic plate. Modern Technologies and Methods of Calculations in Construction, (23), 75-88. https://doi.org/10.36910/6775-2410-6208-2025-13(23)-08