Summary
This project investigates the mathematical modelling of a beam which is either imbedded at both ends or free at one end. The model involves a fourth-order ODE together with boundary conditions which depend on the manner in which the beam is supported. Analytical solutions are obtained for a number of test cases.
The particular case of a steel cantilever beam subjected to an end load is then investigated by using both analytical and numerical techniques. The deflection of the beam obtained by an analytical approach is validated by using finite difference methods and suggestions are given on possible finite element approaches.
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© 2004 Kluwer Academic Publishers
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(2004). Cantilever Beam Subjected to an End Load. In: Caldwell, J., Ng, D.K.S. (eds) Mathematical Modelling. Texts in the Mathematical Sciences, vol 28. Springer, Dordrecht. https://doi.org/10.1007/1-4020-1993-9_6
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DOI: https://doi.org/10.1007/1-4020-1993-9_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1991-3
Online ISBN: 978-1-4020-1993-7
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