- International Journal of Engineering and Applied Sciences
- Vol: 10 Issue: 2
- Several Stress Resultant and Deflection Formulas for Euler-Bernoulli Beams under Concentrated and Ge...
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 : 8 | Download : 5
Publication Date : 2018-08-15
Article Type : Research
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