Comparison of numerical analysis of portal frame using conventional and matrix approach methods

Abstract

The traditional approaches for solving indeterminate structure systems required complex computations. By using traditional approaches, analyzing portal frames entails numerous complications and time-consuming calculations. It takes a long time to do such an analysis. The bending moment is a critical parameter in the design of any structure. The Moment Distribution Method (MDM) and Slope Deflection Method (SDM) for portal frame evaluation might be useful in estimating detailed estimations in an approximate and rapid manner. Various methodologies were employed in this study to compare the outcomes produced by the examination of a single bay portal sway frame using conventional techniques along with the matrix method individually. The end results using conventional techniques are mostly consistent with those generated using the Matrix procedure. The results of the investigation demonstrate that the value of the bending moment in all the methods is similar with maximum variations ranging from 0.05% to 0.3%, but MDM gives more exact results based on the number of iterations taken and shows accuracy in the result. The variations of the bending moment results were found to be maximum in the flexibility matrix method (FMM) in contrast to MDM in most of the cases, and this variation lies in the range of approximately 0.1%-0.3%. However, the more complex cases necessitate matrix methods as it becomes difficult to solve these problems with the conventional approach.