Civil Engineering Journal
Vol 4, No 2 (2018): February

Comparison between Analytical Equation and Numerical Methods for Determining Shear Stress in a Cantilever Beam

Imad Al-Qasem (Lecturer, Department of Civil Engineering, An-Najah National University, Nablus, Palestine.)
A. Rasem Hasan (Assistant Professor, Department of Civil Engineering, An-Najah National University, Nablus, Palestine.)
Mohanad Abdulwahid (Lecturer, Department of Civil Engineering, Faculty of Engineering, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, Kurdistan Region F.R. Iraq)
Isaac Galobardes (Lecturer, Department of Civil Engineering, Xi’an Jiaotong-Liverpool University, 111 Ren’ai Road, Suzhou Dushu Lake Higher Education Town, 215123 Suzhou, Jiangsu Province, China.)

Article Info

Publish Date
06 Mar 2018

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.

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Journal Info
Civil Engineering Journal
Website

Abbrev

cej

Publisher

C.E.J Publishing Group

Subject

Civil Engineering, Building, Construction & Architecture

Description

Civil Engineering Journal is a multidisciplinary, an open-access, internationally double-blind peer -reviewed journal concerned with all aspects of civil engineering, which include but are not necessarily restricted to: Building Materials and Structures, Coastal and Harbor Engineering, ...