The verification of the slender compressed members of a structure is a well formulated and codified problem. However, the non-linearity of the design process, combined with the no linearity of the physical problem requires an iterative process to define the piece that solves a given problem. This paper demonstrates an identity relationship between seemingly different problems, based on which we develop a theoretical approach and a simple procedure to determine, without iteration and with little margin for error, the piece needed for a given problem. The paper provides a statistical model to check that the provided procedure is safe and effective in the 98% of the problems in buildings -pillars and bars from trusses-. The presented approach therefore greatly facilitates decisions in this area. © 2011 CIMNE.
Cervera, J., Ortiz, J., Vázquez, M., & Aznar, A. (2013). Dimensionado en compresión en acero: El peso del pandeo. Revista Internacional de Metodos Numericos Para Calculo y Diseno En Ingenieria, 29(2), 79–91. https://doi.org/10.1016/j.rimni.2013.04.005