Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections

Michael C. Agarana*, Esther T. Akinlabi, Okwudili S. Ogbonna

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


In order to achieve the required high level of mechanical material components as regards sustainability and safety, the stiffness of such materials has to be thoroughly investigated to avoid failure. This study investigates, analytically, the stiffness of some mechanical materials with different cross-sectional areas, whose mechanical properties are homogeneous and isotropic. The exerted force for steel material solids with different cross-sections was investigated. Comparisons were made and results are consistent with the ones in literature. A computer software, Maple, was used to plot the three-dimensional graphs of the relationship between the parameters. Specifically, it was observed that the steel hollow rectangular beam cross-section has a high axial stiffness compared to that of steel hollow circular beam cross-section. Also, the moment of inertia of the steel beams, considered, depend on their cross-sectional areas.

Original languageEnglish
Title of host publicationTrends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019
EditorsEsther Titilayo Akinlabi, P. Ramkumar, M. Selvaraj
Number of pages8
ISBN (Electronic)9789811544880
ISBN (Print)9789811544873
Publication statusPublished - 21 Aug 2020
Externally publishedYes
Event2nd International Conference on Mechanical Engineering Design,ICMechD 2019 - Chennai, India
Duration: 25 Apr 201926 Apr 2019

Publication series

NameLecture Notes in Mechanical Engineering
ISSN (Print)2195-4356
ISSN (Electronic)2195-4364
NameConference Series Link: ICMechD: International Conference on Mechanical Engineering Design


Conference2nd International Conference on Mechanical Engineering Design,ICMechD 2019

Cite this