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  Estonian Journal of Engineering

ISSN 1736-7522 (electronic)  ISSN 1736-6038  (print)

 An international scientific journal
Formerly: Proceedings of the Estonian Academy of Sciences Engineering
(ISSN 1406-0175)
Published since 1995

Estonian Journal of Engineering

ISSN 1736-7522 (electronic)  ISSN 1736-6038  (print)

 An international scientific journal
Formerly: Proceedings of the Estonian Academy of Sciences Engineering
(ISSN 1406-0175)
Published since 1995

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Green’s function for the deflection of non-prismatic simply supported beams by an analytical approach; pp. 336–351

(Full article in PDF format) doi: 10.3176/eng.2012.4.05


Authors

Mehdi Veiskarami, Solmaz Pourzeynali

Abstract

The influence line for deflection of non-prismatic simply supported beams has been developed. The methodology primarily comprises the determination of the Green’s function of the governing differential equation and extension of the results to typical problems. The method of inverse operator along with the orthogonal eigenfunction expansion was employed and the final form of the solution is presented in an integral form, which can be solved by either direct methods or numerical techniques. An example problem and the closed-form solution for a particular class of non-prismatic beams, very often applied in practice, have been presented.

Keywords

non-prismatic beam, influence line, deflection, Green’s function, analytic solution.

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Current Issue: Vol. 19, Issue 4, 2013





Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December