Green’s function for the deflection of non-prismatic simply supported beams by an analytical approach; pp. 336–351Full article in PDF format | doi: 10.3176/eng.2012.4.05
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.
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