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JOURNALS || ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS) [ISSN: 2455-7064 ]
ANALYSIS OF VERY LONG COLUMNS WITH LOW BUCKLING LOAD VIA MEANS OF LAPLACE TRANSFORM

Author Names : Rohit Gupta
Page No. : 42-44  Volume 4 Issue 1
Article Overview

ARTICLE DESCRIPTION: 

Rohit Gupta, Rahul Gupta, Dinesh Verma, Analysis of very long columns with low buckling load via means of Laplace transform, ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 4(1), 2020: 42-44.

1&2 Lecturer of Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology, Jammu, India.

Professor, Department of Mathematics, NIILM University, Kaithal (Haryana), India.

Doi: 10.2016-28457823;  DOI Link :: http://doi-ds.org/doilink/11.2020-76488885/


Abstract:

Columns are one of the vertical compression members of a structure used in building frames, and are liable to buckle and fail under relatively small axial loads. These are considerably longer in comparison with their lateral dimensions and hence buckle when the axial load approaches a certain critical value known as critical buckling load. In this paper, we present Laplace transform means for analysis of very long columns with low buckling axial loads, which is generally done by applying ordinary algebraic and calculus means.

Keywords: Euler’s theory, Laplace transform, Long Columns, buckling load.

Reference

[1] Theory of Structures by S. Ramamrutham and R. Narayan, Danpat Rai Publishing Company.

[2] Theory of structures by R.S. Khurmi, S. Chand And Company LTD.

[3] Theory and analysis of structures by A.S. Arya and O.P. Jain.

[4] Theory and Problems of Laplace Transforms, Murray R. Spiegel, McGraw - Hill.

[5] Rohit Gupta, Amit Pal Singh, Dinesh Verma, Flow of Heat Through A Plane Wall, And Through A Finite Fin Insulated At The Tip, International Journal Of Scientific & Technology Research Volume 8, Issue 10, October 2019.

[6] Rohit Gupta, Rahul Gupta, Sonica Rajput, Laplace Transforms Approach for the Velocity Distribution and Shear Stress Distribution of a Unidirectional Laminar Flow, International Journal for Research in Engineering Application & Management (IJREAM), ISSN: 2454-9150, Vol-04, Issue-09, Dec 2018.

 [7] Rahul Gupta and Rohit Gupta, “Laplace Transform method for obtaining the temperature distribution and the heat flow along a uniform conducting rod connected between two thermal reservoirs maintained at different temperatures”, Pramana Research Journal, Volume 8, Issue 9, 2018, pp. 47-54.