Reliability Analysis of Structural Beam Section Using First Order Reliability Method (FORM)

Authors

  • P. Hari Prasad  CVR College of Engineering, Hyderabad, Telangana, India
  • M. Tirumala Devi  Department of Mathematics, Kakatiya University, Warangal, Telangana, India
  • T. Sumathi Uma Maheswari  Department of Mathematics, Kakatiya University, Warangal, Telangana, India

Keywords:

Structural reliability, First order reliability method, Hosofer-Lind method, Rectangular reinforced concrete section of the beam, Bending moment, Moment capacity.

Abstract

Reliability is the ability of the structure to meet the construction requirements set under specified conditions during the service life, according which it is designed. It refers to the capacity, serviceability and durability of construction and according to them different techniques of reliability can be defined. In this paper the reliability index is used to present the size of uncertainty in the theory of reliability.  Two types of techniques are used to obtain the reliability index, which are First Order Reliability Method and Hosofer-Lind Method. The design of rectangular reinforced concrete section of beam is considered. The llablty and flexural failure   caused by tension of the beam section are discussed. The methodology involved in determining the reliability to the design variables which are bending moment, cross sectional area, specified yield strength, specified compressive strength of concrete.

References

  1. Gunjan Agrawal and Baidurya Bhattacharya, "Partial safety factor design of rectangular partially pre- stressed concrete beams in ultimate flexural limit state", Journal of structural Engineering", volume 37, No.4, October-November 2010 pp.257-267.
  2. T.micic,"Structural Reliability applications", Faculty of civil Engineering and architecture in University of Nis, Serbia 2012.
  3. S.Choi, R.V.Gradnhi and R.A.Canfield,"Reliability based structural Design", Springer-Verlag London Limited, 2007.
  4. Robert.C.Wetherhold and Anthony M.Ucci, "Probability Techniques for Reliability Analysis of composite Materials", Department of Mechanical and Aerospace Engineering, State university of Newyork.
  5. StefanConic, Nemanja Markovic, Nikola Velimirovic and Nikola Stojic,"Reliability analysis of timber structures", Journal of faculty of civil Engineering. April 2014.Serbia.
  6. AbubakarIdris and PiusEdache,"Reliability of simple supported steel beams", Australian journal of basic and applied sciences, 1(1):20-29, 2007.
  7. Balaguruswamy, E., "Reliability Engineering", Tata McGraw-Hill, Publishing Company Limited, New Delhi, 1984.
  8. Barlow R. E., "Theory of reliability: A historical perspective", IEEE Transactions on Reliability, vol. 33, pp. 16-20, 1984.
  9. Kapur, K. C. and Lamberson L. R., "Reliability in Engineering design", John Wiley and Sons, Inc. U. K. 1997.
  10. Marvin Raus and, Arnljot Heyland, "System reliability theory models, statistical methods and its applications", A John Wiley & Sons, Inc., Publication, 2004.
  11. Choi, S., Gradnhi, R. V. and Canfield R. A., "Reliability based structural design", Springer-Verlag London Limited, 2007.
  12. Antanas Kudzys and Romualdas Kliukas., "Reliability index design in Reinforced concrete structures of annular cross sections", ModernBuilding Materials and Techniques, the 10th International Conference, 2010, Lithunia.
  13. W.S.Lin, "The Reliability analysis of cutting tools in the HSM processes" Archives of Materials science and Engineering. Volume 30, issue 2, April 2008, pp.97-100.
  14. Gollwitzer, S. and Rackwitz R., Equivalent Components in First-order System Reliability. Reliability Engineering, Vol. 5, 1983, pp. 99-115.
  15. Thoft-Christensen, P. and Baker M. J., "Structural Reliability Theory and its Applications.Springer-Verlag, Berlin -Heidelberg - New York, 1982.
  16. Lloyd, D. K. and Lipow, M., "Reliability management methods and mathematical methods", Printice Hall, In., Englewood Cliffs, New Jersey, 1962.
  17. Eryilmaz Serkan, "On Stress- Strength reliability with a time-dependent strength", Hindawi Publishing Corporation , journal of Quality and Reliability Engineering, vol.2013, Article ID 417818, 6 pages.
  18. Bhattacharyya G. K. and Johnson R. A.,"Stress-strength models for system reliability", Proceedings of the symposium on reliability and fault tree analysis, SIAM, 509- 32, 1975.

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Published

2018-04-30

Issue

Section

Research Articles

How to Cite

[1]
P. Hari Prasad, M. Tirumala Devi, T. Sumathi Uma Maheswari, " Reliability Analysis of Structural Beam Section Using First Order Reliability Method (FORM), International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 4, Issue 5, pp.640-648, March-April-2018.