Effect of Consideration in Euler Beam Theory

Ketan Bajaj

Abstract


The purpose of this paper is to improve the results of Euler beam theory. Euler beam theory can be used to determine the deflection of beam. But in some cases cross-section of beam is not flat-ended, and Euler beam theory only consider the vertical loading, so the effect of curvature is occurred due to normal loading. The method to determine the curvature effect has been developed in this paper, and verified with the software simulation.

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References


J. Kishan, P. Chetankumar. Development of Analytical method to determine the deflection of tapered cantilever beam with inclined loading condition using software simulation, Int Conf Inform Technol Sustain Dev. 2015.

C. Erasmo, G. Gaetano, P. Marco. Beam Structures Classical and Advanced Theories. A John Wiley & Sons, Ltd., Publication; 2011.

P. Ferdinand, J. Russell, T. John. Mechanics of Material. The McGraw-Hill Companies. 2008.

K. Malukhin, S. Hankyu, E. Kornel. A shape memory alloy based tool clamping device, J Mater Process Technol. 2012; 212.4: 735–44p.

C. Farid, D. Salah, F. Kamel, B. Abderrahim. Tapered beam axial vibration frequency: linear cross-area variation case, APCBEE Proc. 2014; 9: 323–7p.d

Z. Frieman, J. Kosmatka. Exact stiffness matrix of a non-uniform beam extension, torsion and bending of a Bernoulli-Euler beam, Comput Struct. 1992; 42: 671–82p.

H. Al-Gahtani, S. Khan. Exact analysis of nonprismatic beams, J Eng Mech. 1998; 124: 1290–3p.

A. Shooshtari, R. Khajavi. An efficient procedure to find shape functions and stiffness matrices of nonprismatic EulereBernoulli and Timoshenko beam elements, Eur J Mech A/Solids, 2010; 29: 826–36p.

A. Reza. Basic displacement functions in analysis of nonprismatic beams, Eng Comput: Int J Comput Aided Eng Software. 2010; 276: 733–45p.


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