Reliability Index of Simply Supported Beam Based on HL Method

Authors

  • M. Tirumala Devi Department of Mathematics, Kakatiya University, Warangal, Telanagana State, 506009, India
  • T. Sumathi Uma Maheshwari Department of Mathematics, Kakatiya University, Warangal, Telanagana State, 506009, India
  • A. Satyanarayana Department of Mathematics, Kakatiya University, Warangal, Telanagana State, 506009, India

DOI:

https://doi.org/10.13052/jrss0974-8024.15214

Keywords:

Reliability, I-beam, reliability index, non-linear limit state function, stress, strength, load, normal distribution

Abstract

In this paper, reliability of simply supported I-beam is studied under point load at the mid-point of span. Reliability index has been obtained by using Hasofer-Lind method. In the analysis, yield strength of material, depth of the section and load are considered as basic random variables and those are assumed to follow normal distribution. Non-linear limit state surface function has been considered. Derived design point in each case and found the reliability.

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Author Biographies

M. Tirumala Devi, Department of Mathematics, Kakatiya University, Warangal, Telanagana State, 506009, India

M. Tirumala Devi received the Bachelor’s degree in 1993, the Master’s Degree in Mathematics in 1995 and the Ph.D. in Mathematics in 2012 from Kakatiya University. She is currently working as an Assistant Professor at the Department of Mathematics, Kakatiya University, Waranagal, India. She has 15 years teaching experience. Her area of research is Reliability Theory, Operations Research.

T. Sumathi Uma Maheshwari , Department of Mathematics, Kakatiya University, Warangal, Telanagana State, 506009, India

T. Sumathi Uma Maheswari received the Bachelor’s degree in 1984 from Osmania University, the Master’s Degree in Mathematics in 1987 and the Ph.D. in Mathematics in 1991 from Kakatiya University. Post-Doctoral Researcher 1996 to 1997 from UGC. She is currently working as a Professor at the Department of Mathematics, Kakatiya University, Waranagal, India. She has 21 years teaching experience. Her area of research is Reliability Theory, Operations Research.

A. Satyanarayana, Department of Mathematics, Kakatiya University, Warangal, Telanagana State, 506009, India

A. Satyanarayana received the Bachelor’s degree from Kakatiya University in 1996, the Master’s Degree in Mathematics from Osmania University in 2012. He is currently working as an Assistant Professor at the Department of Mathematics, SRR Government Arts & Science College, Satavahana University, Karimnagar, India. He has 8 years teaching experience. His area of research is Reliability Engineering.

References

R.S. Kurmi and N. Kurmi, Strength of Materials, S. Chand Publications, 2015.

L.S. Srinath, Reliability Engineering, John Wiley and Sons, Inc. U.K., 1997

K.C. Kapur and L.R. Lamberson, Reliability in Engineering Design, John Wiley and Sons, Inc. U.K., 1997.

R. Ranganathan, Structural reliability and Design, Jaico publishing house, Delhi, 1999.

John case, Lord Chilver, Carl T.F. Ross, Strength of Materials and Structures, Fourth edition, 1999.

R.K. Bansal, Strength of Materials, Laxmi Publications, 2009.

Seyed Hooman Gasemi and Anderzej S. Nowak, Reliability analysis of circular tunnel with consideration of the strength limit state, Geo Mecanics and Emgineering, Vol. 15, No. 3, 2008.

Karthik C B, Amit Kumar Onkar, Manjuprasad M and Dinesh S V, Analysis of Frames, International Journal of Innovative research in Science, Engineering andTechnology, 6, 9, 2007.

O J Aladegboye, D A Opeyemi and O D Atoyebi E M Ibitogbe, Reliability analysis of rein forced concrete beam using varying properties, Earth and Environmental Science, 445, 012031, 2020.

E. Bastidas and A.H. Soubra, Reliability analysis methods, Stochastic analysis and inverse modeling pp. 53–77, 2015.

Cristopher D. Eamon and Elinjesen, Reliability analysis of prestressed concrete beames exposed to fire, Engineering Structures, 43, 69–77, 2012.

Jinsheng, Shewang Cuiying Zheng and Zuping Chen Yang, FOSM based shear reliability analysis of CSGR dams using strength theory, Computer and Geo techniques 97, 52–62, 2018.

Renjian Lu, Yuanhui and Joel P. Conte, Structural Safety 14, 277–298, 1994.

Henrik O. Madsen, First Order Vs Second Order Reliability Analysis of Series of Structures, Structural Safety, 2, 207–214, 1985.

Z Yanfang, et al., Reliability sensitivity based on First-Order Reliability Method, J. Mechanical Engineering Science, Vol. 000 Part C, 2011.

Manuel Baro-Tijerina and Gerardo Duran-Medrano, Stress/Strength Models to Estimate Systems Reliability R(t) =

P(x

y), International Journal of Engineering Research & Technology (IJERT), 7, 03, 2018.

Yannan Gao and Xin Zhao, Application of Monte Carlo Method Based on Matlab Calculation of Definite Integrals and Simulation of Heston’s Model, Journal of Physics, IOP Conf. Series, 1069, 012092, 2018.

Cornell, C.A.: A Probability-Based Structural Code. ACI-Journal, Vol. 66, 1966, pp. 974–985.

A. Satyanarayana, T. Sumathi UmaMaheshwari and M. Tirumala Devi. Reliability of Simply Supported Rectangular Beam under Uniformly Distributed Load, Journal of Xi’an University of Architecture & Technology, Volume XII, Issue V, 2678.

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Published

2023-04-06

How to Cite

Devi, M. T. ., Maheshwari , T. S. U. ., & Satyanarayana, A. . (2023). Reliability Index of Simply Supported Beam Based on HL Method. Journal of Reliability and Statistical Studies, 15(02), 745–758. https://doi.org/10.13052/jrss0974-8024.15214

Issue

2022: Vol 15 Iss 2

Section

Articles