Title: Flexural analysis of deep beam subjected to parabolic load using refined shear deformation theory
Authors: Ghugal, Yuwaraj M.
Dahake, Ajay G.
Citation: Applied and Computational Mechanics. 2012, vol. 6, no. 2, p. 163-172.
Issue Date: 2012
Publisher: University of West Bohemia
Document type: article
článek
URI: http://www.kme.zcu.cz/acm/index.php/acm/article/view/180/186
http://hdl.handle.net/11025/1837
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: izotropní tělesa;nosníky;vlečné tření;střih;zkoušení materiálu;simulace a modelování
Keywords in different language: isotropic bodies;girders;drag friction;shear;material testing;simulation and modelling
Abstract: A trigonometric shear deformation theory for flexure of thick or deep beams, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The noteworthy feature of this theory is that the transverse shear stresses can be obtained directly from the use of constitutive relations with excellent accuracy, satisfying the shear stress free conditions on the top and bottom surfaces of the beam. Hence, the theory obviates the need of shear correction factor. Governing differential equations and boundary conditions are obtained by using the principle of virtual work. The thick isotropic beams are considered for the numerical studies to demonstrate the efficiency of the theory. It has been shown that the theory is capable of predicting the local effect of stress concentration due to fixity of support. The fixed isotropic beams subjected to parabolic loads are examined using the present theory. Results obtained are discussed critically with those of other theories.
Rights: © 2012 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 6, number 2 (2012)
Volume 6, number 2 (2012)

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