INVESTIGATION OF DEFLECTION AND SHEAR FORCES OF SIMPLY SUPPORTED BEAM USING THEORETICAL NUMERICAL AND SOFTWARE APPROACH

Authors

  • Nivedan Mahato Indo Danish Tool Room, Jamshedpur https://orcid.org/0000-0003-3764-3483
  • Ravi Ratnakar Indo Danish Tool Room, Jamshedpur
  • Ashwini kumar Arka Jain University, Jharkhand

Keywords:

Simply Supported Beam, FEM, ANSYS

Abstract

A beam is a key structural member which is widely used in building science as well as different mechanical sector like crane used in industry, loading and unloading of heavy job etc. as such the analysis of beam under loading is important. This paper approaches to if the beam has supported at its two ends and load may be applied anywhere on the beam, the resulting reactions force, deflection, bending moment, shear force can be mathematically estimated using the theory of strength of materials and finite element method(FEM) stiffness matrix is used for validating the software results to the analytical results. Also, aim of this paper is to compare the analytical and mathematical solution with software results. The results may slightly vary with theoretical value and it can be improved by improving quality of mesh.

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References

Thomas J and Abbas B A H (1975), “Finite element model for dynamic analysis of Timoshenko beam”, Journal of Sound and Vibration 41.3, 291-299.

Varundeep K, Teja N S K, Vamsi Krishna K, Akhil Babu B, Avrk Teja and Sri Harsha J (2016), “Determination of Stress and Deflection of Simply Supported Beam for Various Cross- Sections, IJSRSET, Vol 2, pp 587-590.

Alavala, Chennakesava R (2008), “Finite element methods: Basic concepts and applications”, PHI Learning Pvt. Ltd.

Iyengar, Sundara Raja K T and Lakshmana Rao S K (1955), “Large deflections of simply supported beams”, Journal of the Franklin Institute, Vol. 259(6), 523-528.

Anderson R A (1953), “Flexural vibrations in uniform beams according to the Timoshenko theory”, Journal Of Applied Mechanics-Transactions Of The ASME, Vol. 20(4), 504-510.

Dolph C L (1954), “On the Timoshenko theory of transverse beam vibrations”, Quarterly of Applied Mathematics, Vol. 12(2), 175-187.

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Published

2018-06-01

Issue

Section

Articles

How to Cite

[1]
“INVESTIGATION OF DEFLECTION AND SHEAR FORCES OF SIMPLY SUPPORTED BEAM USING THEORETICAL NUMERICAL AND SOFTWARE APPROACH”, JME, vol. 13, no. 2, pp. 118–121, Jun. 2018, Accessed: Nov. 21, 2024. [Online]. Available: https://smenec.org/index.php/1/article/view/115

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