Estimating Axial Forces in Columns using Tributary Area Method and Finite Element Method; a Comparison

Journal Title: IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) - Year 2018, Vol 15, Issue 5

Abstract

Axial forces in columns caused by gravity loadings are usually estimated for initial design using tributary area method. However, this method does not consider the axial deformations in columns nor the flexural rigidities of floors. Columns subjected to high axial loads are expected to deform axially which certainly would affect the distribution of forces to columns. Moreover, floors subjected to vertical loads are expected to bend or to change in curvature. While determining axial forces in columns using tributary area method are only governed by location of columns, actual distribution is governed by axial stiffnesses of columns and flexural rigidities (or slab thickness). This study aims at giving more insights on who forces are being transmitted to columns from slabs. Analytical solution for axial forces in columns is derived for the case of rigid slab. Afterwards, Finite element method is employed to perform parametric study to investigate the effect of column stiffness (i.e. area, length and material stiffness) on the load transmission. Also, rigid, semi-rigid and flexible floors are considered to determine the effect of flexural rigidity of floors on forces distribution. It was found that the use of tributary area method may lead to false results.

Authors and Affiliations

A. I. Hamdan

Keywords

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  • EP ID EP438502
  • DOI 10.9790/1684-1505011421.
  • Views 95
  • Downloads 0

How To Cite

A. I. Hamdan (2018). Estimating Axial Forces in Columns using Tributary Area Method and Finite Element Method; a Comparison. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), 15(5), 14-21. https://europub.co.uk/articles/-A-438502