_____________________________________________________________________________________________________ *Corresponding author: E-mail: [email protected]; Physical Science International Journal 25(6): 48-63, 2021; Article no.PSIJ.74836 ISSN: 2348-0130 Analysis of Beam Bending with an Elliptical Cross- Section Sydney Roth 1 , Mohamed Abuhegazy 1,2 and Tariq Khraishi 1* 1 Mechanical Engineering Department, University of New Mexico, Albuquerque, New Mexico, USA. 2 Mechanical Power Engineering Department, Faculty of Engineering, Shebin El-Kom, Menoufia University, Egypt. Authors’ contributions This work was carried out in contribution among all authors. Author MA was responsible for the derivations, calculations, and resulting figures. Author SR was responsible for the write-up and analysis explanation for this research. Author TK reviewed this paper and served as an advisor during the research for this paper. All authors read and approved the final manuscript. Article Information DOI: 10.9734/PSIJ/2021/v25i630265 Editor(s): (1) Prof. Shi-Hai Dong, National Polytechnic Institute, Mexico. (2) Dr. Roberto Oscar Aquilano, University of Rosario (UNR), Argentina. Reviewers: (1) N. Yathisha, ATME College of Engineering, India. (2) Abel Idrisu Shaba, Federeal University of Technology Minna, Nigeria. Complete Peer review History: https://www.sdiarticle4.com/review-history/74836 Received 06 August 2021 Accepted 12 October 2021 Published 22 October 2021 ABSTRACT This paper calculates the stress function constants to determine and analyse the stress field of a beam with an elliptical cross-section under transverse loading. This was performed using linear elasticity principles. The Beltrami-Michell compatibility equations were used to derive the formulas used to calculate these parameters in the beam with the elliptical cross-section. This paper uses dimensionless analysis to comprehend the effect of each variable in the problem. The loading was applied at the centre of the right-end face of the elliptical beam. This loading configuration is the same as an existing linear elasticity problem; however, that problem models a cylindrical beam instead of an elliptical one. Thus, the existing parameters from the cylindrical model were used to verify the formulas, calculated in this paper, for the elliptical beam. Keywords: Beam bending; elliptical cross-section; stress function. Original Research Article
Analysis of Beam Bending with an Elliptical CrossSection
May 17, 2023
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Related Documents
![[XLS] · Web view91" X 58" ELLIPTICAL PIPE 02582 91" X 58" ELLIPTICAL CONC. PIPE 02630 98" X 63" ELLIPTICAL PIPE 02632 98" X 63" ELLIPTICAL CONC. PIPE 02680 106" X 68" ELLIPTICAL](https://static.cupdf.com/doc/110x72/5ae3d8767f8b9a5d648e7b83/xls-view91-x-58-elliptical-pipe-02582-91-x-58-elliptical-conc-pipe-02630-98-x.jpg)
