Investigation of Stresses in a Beam with Fixed Connection Using Finite Difference Technique

α
Muhammad Ziaur Rahman
Muhammad Ziaur Rahman
σ
Tousif Ahmed
Tousif Ahmed
ρ
Raihan Md. Imtiaz
Raihan Md. Imtiaz
α to σ Bangladesh University of Engineering and Technology Bangladesh University of Engineering and Technology

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Investigation of Stresses in a Beam with Fixed Connection Using Finite Difference Technique

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Abstract

In this study a simple rectangular beam has been analyzed. For simplicity two dimensional plane strain problem is considered. The beam is fixed at the left and right edges of the bottom surface. Uniformly distributed load is applied along the length of the beam. A new formulation, known as displacement potential function formulation has been used here. Stresses and displacements at different sections along the length and depth of the beam have been plotted and discussed. The curves are found to be in complete conformity with the available literature and physical condition of the beam. The present literature reveals that the fixed connections of the beam are extremely critical regions and have the highest probability to fail.

References

12 Cites in Article
  1. S Ahmed (1993). Numerical solutions of mixed boundary value elastic problems.
  2. J Dow,M Jones,S Harwood (1990). A new approach to boundary modeling for finite difference applications in Solid mechanics.
  3. S Timoshenko,J Goodier (1979). Theory of elasticity.
  4. Ferdous Huq,Nidalia Islam,Sakib Zubayer,Nessar Ahmed (1993). Green Roof: An approach to repair the climate of Dhaka city.
  5. Abm Idris,S Ahmed,Uddin,Mw (1996). Analytical Solution of a 2D Elastic Problem With Mixed Boundary Conditions.
  6. S Ahmed,Abm Idris,M Uddin (1996). Numerical solution of both end fixed deep beams.
  7. S Ahmed,M Khan,Kms Islam,M Uddin (1996). Analysis of stresses in deep beams using displacement potential fucntion.
  8. S Ahmed,M Khan,K Islam,Md. Uddin (1998). Investigation of stresses at the fixed end of deep cantilever beams.
  9. Mas Akanda (1997). Stress analysis of gear teeth.
  10. Mas Akanda,S Ahmed,M Khan,M Uddin (2000). A finite difference scheme for mixed boundary value problems of arbitrary shaped elastic bodies.
  11. Mas Akanda,S Ahmed,M Uddin (2002). Stress analysis of gear teeth using displacement potential function and finite differences.
  12. M Uddin (1966). Finite difference solution of twodimensional elastic problems with mixed boundary conditions.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Muhammad Ziaur Rahman. 2013. \u201cInvestigation of Stresses in a Beam with Fixed Connection Using Finite Difference Technique\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 13 (GJRE Volume 13 Issue A2): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Version of record

v1.2

Issue date

March 26, 2013

Language
en
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In this study a simple rectangular beam has been analyzed. For simplicity two dimensional plane strain problem is considered. The beam is fixed at the left and right edges of the bottom surface. Uniformly distributed load is applied along the length of the beam. A new formulation, known as displacement potential function formulation has been used here. Stresses and displacements at different sections along the length and depth of the beam have been plotted and discussed. The curves are found to be in complete conformity with the available literature and physical condition of the beam. The present literature reveals that the fixed connections of the beam are extremely critical regions and have the highest probability to fail.

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Investigation of Stresses in a Beam with Fixed Connection Using Finite Difference Technique

Muhammad Ziaur Rahman
Muhammad Ziaur Rahman Bangladesh University of Engineering and Technology
Tousif Ahmed
Tousif Ahmed Bangladesh University of Engineering and Technology
Raihan Md. Imtiaz
Raihan Md. Imtiaz

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