Several Stress Resultant and Deflection Formulas for Euler-Bernoulli Beams under Concentrated and Generalized Power/Sinusoidal Distributed Loads

Authors : Vebil YILDIRIM

Pages : 35-63

Doi:10.24107/ijeas.430666

View : 13 | Download : 9

Publication Date : 2018-08-15

Article Type : Research Paper

Abstract :In the present paper, the transfer matrix method based on the Euler-Bernoulli beam theory is exploited to originally achieve some exact analytical formulas for classically supported beams under both the concentrated and generalized power/sinusoidal distributed loads.   A general solution procedure is also presented to consider different loads and boundary conditions. Those closed-form formulas can be used in a variety of engineering applications as well as benchmark solutions.
Keywords : Transfer matrix method, initial value problem, exact solution, Euler Bernoulli beam