Analytical Solution of a Guided Simply Supported Beam under Three Point Bending

Mohammad Ikthair Hossain Soiket; Shabbir Ahmed

Analytical Solution of a Guided Simply Supported Beam under Three Point Bending

Mohammad Ikthair Hossain Soiket * §

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Shabbir Ahmed §

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§ Bangladesh University of Engineering and Technology ...

Analytical Solution of a Guided Simply Supported Beam under Three Point Bending

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Abstract

In the present paper, elastic field parameters of a guided simply supported beam under three point bending has been investigated by a new approach called displacement potential formulation. Guided beams involve mixed mode of boundary conditions which the classical beam theory cannot handle. In displacement potential formulation, all the elastic field parameters has been expressed in terms of a single function Ψ which gives rise to a fourth order partial differential equation. The solution of this equation has been determined by trial and error process satisfying all the boundary conditions. This solution is then inserted to reduce the partial differential equation into an ordinary one. The obtained analytical solution of the beam has been presented as graphs. The stress concentration occurs mainly at the point of application of the load and the support at two corners. The analytical solution has further been verified by finite element analysis.

References

14 Cites in Article

Reference Format

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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

Mohammad Ikthair Hossain Soiket, Shabbir Ahmed. 2015. "Analytical Solution of a Guided Simply Supported Beam under Three Point Bending". Global Journal of Research in Engineering - J: General Engineering GJRE-J Volume 14 (GJRE Volume 14 Issue 47 (J7)).

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GJRE Volume 14 Issue 47 (J7)

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

displacement potential formulation elastic field parameters finite element analysis mixed mode of boundary conditions stress concentration

Classification

GJRE-J Classification FOR Code: 099999

Submission ReceivedDecember 12, 2013
Peer Review Double Blind
Handling Editor
Accepted January 4, 2014
Published December 15, 2014

Version of record

v1.2

Issue date

December 15, 2014

Language

English

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Article Matrices

Total Score: 102

Country: Bangladesh

Subject: Global Journal of Research in Engineering - J: General Engineering

Authors: Shabbir Ahmed, Mohammad Ikthair Hossain Soiket (PhD/Dr. count: 0)

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