Title of article
Comparison between Analytical Equation and Numerical Methods for Determining Shear Stress in a Cantilever Beam
Author/Authors
Al-Qasem ، Imad Department of Civil Engineering - An-Najah National University , Hasan ، A.Rasem Department of Civil Engineering - An-Najah National University , Abdulwahid ، Mohanad y. Department of Civil Engineering - Faculty of Engineering - Koya University , Galobardes ، Isaac Department of Civil Engineering - Xi’an Jiaotong-Liverpool University
Pages
8
From page
258
To page
265
Abstract
A three meter-length cantilever beam loaded with a concentrated load at its free end is studied to determine shear stresses. In the present study, three cross sections are considered: rectangle (R); I, and T. The study presents a comparison of maximum shear stresses obtained by means of two methods: classical analytical equation derived by Collingnon, and finite element method (FEM) software. Software programs ANSYS and SAP2000 were used. The results show difference between the maximum shear stresses obtained by the analytical equation and the software, being the last is always higher. The average differences for ANSYS and SAP2000, independently of the cross section, were 12.76% and 11.96%, respectively. Considering these differences, correction factors were proposed to the classical analytical formula for each cross section case to obtain more realistic results. After the correction, the average differences decrease to 1.48% and 4.86%, regardless of the cross section shape.
Keywords
Shear Stress , Finite Element Methods , Analytical Equations , Comparison Analysis , Correction Factor
Journal title
Civil Engineering Journal
Serial Year
2018
Journal title
Civil Engineering Journal
Record number
2486625
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