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

Michael C. Agarana; Esther T. Akinlabi; Okwudili S. Ogbonna

doi:10.1007/978-981-15-4488-0_15

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

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

Mechanical Engineering Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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 language	English
Title of host publication	Trends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019
Editors	Esther Titilayo Akinlabi, P. Ramkumar, M. Selvaraj
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	169-176
Number of pages	8
ISBN (Print)	9789811544873
DOIs	https://doi.org/10.1007/978-981-15-4488-0_15
Publication status	Published - 2021
Event	2nd International Conference on Mechanical Engineering Design,ICMechD 2019 - Chennai, India Duration: 25 Apr 2019 → 26 Apr 2019

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	2nd International Conference on Mechanical Engineering Design,ICMechD 2019
Country/Territory	India
City	Chennai
Period	25/04/19 → 26/04/19

Keywords

Analytical investigation
Cross sections
Homogeneous isotropic materials
Stiffness

ASJC Scopus subject areas

Automotive Engineering
Aerospace Engineering
Mechanical Engineering
Fluid Flow and Transfer Processes

Access to Document

10.1007/978-981-15-4488-0_15

Cite this

Agarana, M. C., Akinlabi, E. T., & Ogbonna, O. S. (2021). Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections. In E. T. Akinlabi, P. Ramkumar, & M. Selvaraj (Eds.), Trends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019 (pp. 169-176). (Lecture Notes in Mechanical Engineering). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-15-4488-0_15

Agarana, Michael C. ; Akinlabi, Esther T. ; Ogbonna, Okwudili S. / Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections. Trends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019. editor / Esther Titilayo Akinlabi ; P. Ramkumar ; M. Selvaraj. Springer Science and Business Media Deutschland GmbH, 2021. pp. 169-176 (Lecture Notes in Mechanical Engineering).

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title = "Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections",

abstract = "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.",

keywords = "Analytical investigation, Cross sections, Homogeneous isotropic materials, Stiffness",

author = "Agarana, {Michael C.} and Akinlabi, {Esther T.} and Ogbonna, {Okwudili S.}",

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language = "English",

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Agarana, MC, Akinlabi, ET & Ogbonna, OS 2021, Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections. in ET Akinlabi, P Ramkumar & M Selvaraj (eds), Trends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019. Lecture Notes in Mechanical Engineering, Springer Science and Business Media Deutschland GmbH, pp. 169-176, 2nd International Conference on Mechanical Engineering Design,ICMechD 2019, Chennai, India, 25/04/19. https://doi.org/10.1007/978-981-15-4488-0_15

Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections. / Agarana, Michael C.; Akinlabi, Esther T.; Ogbonna, Okwudili S.
Trends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019. ed. / Esther Titilayo Akinlabi; P. Ramkumar; M. Selvaraj. Springer Science and Business Media Deutschland GmbH, 2021. p. 169-176 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections

AU - Agarana, Michael C.

AU - Akinlabi, Esther T.

AU - Ogbonna, Okwudili S.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Analytical investigation

KW - Cross sections

KW - Homogeneous isotropic materials

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Agarana MC, Akinlabi ET, Ogbonna OS. Analytical Investigation of the Stiffness of Homogenous Isotropic Mechanical Materials with Different Cross-sections. In Akinlabi ET, Ramkumar P, Selvaraj M, editors, Trends in Mechanical and Biomedical Design - Select Proceedings of ICMechD 2019. Springer Science and Business Media Deutschland GmbH. 2021. p. 169-176. (Lecture Notes in Mechanical Engineering). doi: 10.1007/978-981-15-4488-0_15

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

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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