A New Method for the Analysis of Beam’s Deflection Using the Taylor Series Expansion

Deflection and rotation of beams can be determined by various methods available in the literature. In this investigation, a new method based on the Taylor series expansion called Taylor method is introduced. The method yields two single equations for calculation of deflection and the rotation of the beam regardless of the loading and supports conditions. The method employs the governing differential equations for deflection of beams in mechanics of solids along with Taylor series expansion. The equations of shear force and bending moment can be determined using Taylor series and without resorting to their corresponding diagrams. The method is examined by solving a number of beam problems. The results indicate that the method can be used with confidence for solving any problemrelated to the beam’s deflection. The method also seems to be more convenient and more efficient than the other methods.

Keywords:

Beam’s deflection , Taylor series , Bending moment , Shear force