Critical compressive stress of a beam-column to a second qrder

Chattoraj, D. ; Bose, S. K. (1981) Critical compressive stress of a beam-column to a second qrder Journal of Applied Mechanics, 48 (4). pp. 978-980. ISSN 0021-8936

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Related URL: http://dx.doi.org/10.1115/1.3157771

Abstract

Buckling of a beam-column under axial loads at the ends is considered as a three-dimensional stability problem. Displacement and stress fields are written in terms of Neuber-Papkovich potentials. These are then approximated to forms containing one more higher-order term than those corresponding to the Euler-Bernoulli equations. These expressions yield a modified formula for the bending moment. The energy method applied to the equations yield a modified form of Euler critical load and Shanley tangent modulus formula. The effect of the second-order modification is to decrease the critical load. For mild steel this decrease exceeds 5 percent for the slenderness ratio less than 25.

Item Type:Article
Source:Copyright of this article belongs to The American Society of Mechanical Engineers.
ID Code:64482
Deposited On:12 Oct 2011 12:55
Last Modified:12 Oct 2011 13:28

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