Static Flexure of Thick Fixed Beams Subjected to Cosine Loading using Refined Shear Deformation Theory

Authors

  • Satish S. Manal
  • Rajmahendra M. Sawant

Abstract

The theory is developed to analyze the thick fixed beam considering the effect of transverse shear deformation. The important feature of this theory is that the transverse shear stresses can be obtained directly using constitutive relationship. While developing the theory the number of variables is kept same as that of first order shear deformation theory. As the theory satisfies the zero shear stress condition on the top and bottom of beam surface, the present theory does not require any shear correction factor. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. A general solution technique is developed to solve the governing differential equations of the theory. Theory is applied to thick fixed beams with cosine loading to obtain the complete flexural response subjected to static bending. The behavior of transverse shear stresses at the fixed ends is studied precisely by using equilibrium equation of theory of elasticity and in accordance with the refined shear deformation theories. The results of displacement and stresses are compared with those of elementary theory of beam bending, first order shear deformation theory, trigonometric shear deformation theory and hyperbolic shear deformation theory.

 

Keywords: Thick beam, refined shear deformation theory, displacement based theory, equilibrium equations

Downloads

Published

2020-12-18

Issue

Vol. 3 No. 2 (2016)

Section

Research Article

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.