Reliability Analysis of the Shaft Subjected to Twisting Moment and Bending Moment for The Exponential and Weibull Distributed Strength and Stress

Md Yakoob Pasha; M Tirumala Devi; T Sumathi Uma Maheswari

doi:10.17485/IJST/v17i6.1806

Article

Reliability Analysis of the Shaft Subjected to Twisting Moment and Bending Moment for The Exponential and Weibull Distributed Strength and Stress

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i6.1806

Year: 2024, Volume: 17, Issue: 6, Pages: 494-502

Original Article

Reliability Analysis of the Shaft Subjected to Twisting Moment and Bending Moment for The Exponential and Weibull Distributed Strength and Stress

Md Yakoob Pasha^1*, M Tirumala Devi², T Sumathi Uma Maheswari³

¹Research scholar, Department of Mathematics, Kakatiya University, Warangal, 506009, Telangana, India
²Assistant Professor, Department of Mathematics, Kakatiya University, Warangal, 506009,
Telangana, India
³Professor of Mathematics, Department of Mathematics, Kakatiya University, Warangal, 506009, Telangana, India

*Corresponding Author
Email: [email protected]

Received Date:18 July 2023, Accepted Date:12 January 2024, Published Date:31 January 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: The purpose of the present work is to design a shaft subjected to twisting moment, bending moment and combined twisting and bending moment by determine the reliability of the shaft. Methods: Probabilistic approach is considered to find the lifetime of shaft by taking stress as random variable. Exponential and Weibull distributions are used to find lifetime of the equipment stress is considered as exponential and Weibull random variable. When the shaft is subjected to combined twisting and bending moment, the stress is found by using the two theories: (i) The maximum shear stress theory is used for ductile materials such as mild steel. (ii) The maximum normal stress theory is used for brittle materials such as cast iron. Findings: Reliability of the shaft is derived subjected to twisting and bending moments. The reliability is computed and compared for changing of the twisting moment, bending moment and diameter of the shaft. Novelty: To design a shaft by using reliability theory and to find reliability of the shaft by using the exponential and Weibull distribution is the novel idea.

Keywords: Reliability, Weibull distribution, Shaft, Twisting moment, Bending moment, Combined twisting and bending moment, Exponential distribution, Maximum normal stress theory, Maximum shear stress theory

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Copyright

© 2024 Yakoob Pasha et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)