A boundary integral solution to the prismatic beam problem

The classic problem of bending of a prismatic beam by a transverse force applied parallel to one of its principal axes is reviewed from a different analytical standpoint. It is demonstrated that considerable advantages over common analysis techniques are the result when the governing equations of th...

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Bibliographic Details
Published inComputers & structures Vol. 31; no. 4; pp. 523 - 530
Main Author Gipson, G.Steven
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1989
Elsevier Science
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Bending
Boundary integral method
Prismatic beam
Elastic beam
Cantilever beam
Analytical method
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Summary:The classic problem of bending of a prismatic beam by a transverse force applied parallel to one of its principal axes is reviewed from a different analytical standpoint. It is demonstrated that considerable advantages over common analysis techniques are the result when the governing equations of the problem are recast as boundary integral equations. The final numerical formulation is generally applicable to any prismatic, elastic cantilever beam with a simply-connected cross-sectional area. A derivation of the method, an outline of the numerical procedure, and two examples demonstrating the validity of the method are presented.
ISSN:0045-7949
1879-2243
DOI:10.1016/0045-7949(89)90328-3