A New Hyperbolic Shear Deformation Theory for Flexure of Thick Simply Supported Beam

Authors

  • Vikas N. Nimbalkar
  • Ajay G. Dahake

Abstract

A new hyperbolic shear deformation theory for flexure of simply supported thick or deep beam, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the hyperbolic shear deformation theory. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The trigonometric function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. This theory satisfies the transverse shear stresses on the top and bottom surfaces of the simply supported isotropic beam, which gives excellent results for transverse shear stress by using constitutive relations. Thus, the shear correction factor is omitted. In this paper the simply supported isotropic beam subjected to uniformly varying load is examined using the present theory. The results of the present theory are compared with those of other refined shear deformation theories of beam to verify the accuracy of the theory.

 

Keywords: Simply-supported, thick beam, varying load, new hyperbolic shear deformation, principle of virtual work, equilibrium equations, dis- placement, stress

Downloads

Published

2020-12-19

Issue

Vol. 1 No. 3 (2014)

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.