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

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

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