Overall objective of this research is to evaluate the importance of geometric nonlinearity in the structural behaviour and design of shallow truss roofs, depending on their geometric configuration and on their material as well as cross-sectional properties, and eventually to propose simple analytical criteria for assessing whether linear analysis can be safely adopted for design. For that purpose, the simple von Mises truss model is analytically and numerically investigated, with emphasis on the interaction between geometric nonlinearity at the system level and buckling, material nonlinearity and imperfections at the member level. The obtained results are compared to the criterion proposed in Eurocode 3 for adopting first order analysis for the design of steel structures. Interesting findings are reported that can then be extended to more complex reticulated shells.
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