Abstract:
For several years, alignment charts and moment amplification factors were the basis for design of
columns and beams subjected to combined loadings. However, in recent years, research has been
devoted to developing a rigorous second order analysis computational framework. While many
commercial software now provide embedded second order facility, many designers still lack the
theoretical and more importantly, the algorithmic know how of the machinery behind these
software. Our research goal is to unravel this machinery right down to its algorithmic detail so that
a structural analyst can understand the assumptions, limitations and nuances of nonlinear
analysis. The objective of this study is threefold: First, to give a detailed insight into the
nonlinear analyses, while creating a MATLAB learning suite, to help with the
understanding of the subject. We will use MASTAN2 for the verification of our codes.
Second, to equip the future researchers with the preliminary knowledge required in the
more active areas of research. And third, to aid the engineers working in the field by
familiarizing them with the rigorous second order analysis for a more accurate stability
design. MATLAB codes were developed and verified for the critical load analyses and the
load deflection analyses while providing a detailed explanation of the algorithmic
procedures involved along with the flowcharts. This study will serve to develop a sound
understanding of the basics of steel stability for the new researchers and will help in
acquainting the design engineers with rigorous second order analysis.
