Optimization of Steel Roof Framing Taking into Account the Random Nature of Design Parameters

• Published in: Materials Vol. 15; no. 14; p. 5017
• Main Authors: Zabojszcza, Paweł, Radoń, Urszula
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 19-07-2022; MDPI
• Subjects: Algorithms; Cost analysis; Design optimization; Design parameters; Earthquakes; Engineers; Equilibrium; Expected values; Finite element method; Framing; Load; Load bearing elements; Mathematical analysis; Mathematical models; Methods; Numerical analysis; Reliability analysis; Roofs; Software; Stability analysis; Steel frames; Structural safety
• ISSN: 1996-1944; 1996-1944
• DOI: 10.3390/ma15145017

The main subject of this paper is an optimization of steel roof framing used as a load-bearing structure in commercial pavilions. The authors wanted to draw attention to the necessity to take into account the uncertainty in the description of design parameters during optimization. In the first step, using geometrically nonlinear relationships, a static-strength analysis is performed. The decisive form of loss of stability in this steel roof framing is the jump of the node (snap-through), and not the buckling of the most stressed structure bars. Therefore, when creating the limit function, it was decided to make a condition limiting the permissible displacement. Values of the implicit limit function were calculated with Abaqus software based on the finite element method. Reliability analysis, and robust and deterministic optimization were performed using Numpress Explore software. Numpress Explore software communicates with the Abaqus software to perform analysis. The task ended with the generation of information that contained the failure probability, reliability index and the values of optimized areas of the bars’ cross-sections. The end result of the optimization is not a cost analysis, but an assessment of the safety of the structure.