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155177

A Suggested Solution for Torsion Problem of Homogeneous Prismatic Bar.

Article

Last updated: 04 Jan 2025

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Subjects

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Tags

Mathematics and Engineering Physics

Abstract

Non-metallic materials are being used increasingly as engineering materials in a Wide  range of applications. This work introduces u numerical solution for pure torsion  equation of a continuously homogeneous prismatic bar, which is cut longitudinally  from a hollow cylinder. having a material with rectilinear anisotropy and n circular  sector cross section. The lateral surface of the prism is free from external forces, and  from all restraints. Body forces are absent, and the ends are subjected to distributed forces, which are leading to twisting moments of opposite directions. Only two stress  components are different from zero, and the remaining four vanish. The problem is  constructed using a small physical parameter, which characterizes the material anisotropy. A mathematical model is derived using Fourier series analysis. and the  stress components are obtained as conversion expansions. Computer program is  designed. and illustrative examples for orthotropic and non-orthotropic materials are  introduced for showing the effectiveness of the suggested solution. Acceptable  numerical results are obtained, and convergence is discussed. 

DOI

10.21608/bfemu.2021.155177

Authors

First Name

H.

Last Name

Nour

MiddleName

M.

Affiliation

Mathematics and Physics Engineering Department., Faculty of Engineering.,El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

21

Article Issue

4

Related Issue

22288

Issue Date

1996-12-01

Receive Date

1996-10-11

Publish Date

2021-12-01

Page Start

1

Page End

11

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 21_Issue 4_Pages 1-11.pdf

PDF . 1.7MB

Link

https://bfemu.journals.ekb.eg/article_155177.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=155177

Order

14

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

A Suggested Solution for Torsion Problem of Homogeneous Prismatic Bar.

Details

Type

Article

Created At

22 Jan 2023