Open AccessMathematical Model for Analysis of Uniaxial and Biaxial Reinforced Concrete Columns
Author(s) -
Mohammed S. AlAnsari,
Muhammad Shekaib Afzal
Publication year - 2020
Publication title -
advances in civil engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.379
H-Index - 25
eISSN - 1687-8094
pISSN - 1687-8086
DOI - 10.1155/2020/8868481
Subject(s) - flow chart , computation , structural engineering , column (typography) , reinforced concrete , finite element method , chart , compression (physics) , moment (physics) , software , materials science , tension (geology) , computer science , mathematics , composite material , engineering , algorithm , engineering drawing , physics , statistics , connection (principal bundle) , classical mechanics , programming language
This paper presents a mathematical model for the analysis of reinforced concrete (RC) uniaxial and biaxial columns. This proposed model is a quick and faster approach for the analysis and design of reinforced concrete rectangular columns without going through the interaction charts procedure as well as other iterative methods for the computation of required axial load capacity (Pc) and moment capacity (Mc). A simplified flow chart has also been developed to find the required column capacity using this mathematical model. Eight uniaxial columns (C-1 to C-8) and seven biaxial columns (CB-1 to CB-7) are analysed in this study. Each column is analysed having different steel reinforcement ratios ρ with different loading conditions. In addition, the studied columns are subjected to both tension and compression failures. The detailed examples for both uniaxial and biaxial columns (one for each case) are also presented in this study. The studied columns are also analysed using computer software spColumn. The average variation of the mathematically computed values to the finite element software is not more than 10%, showing promising computational results.