1992-Bulte, C. H. F. - The differential equation of the deflection curve.

By C. H. F. Bulte

Civil Engeinering, Tilburg

Licensed according to this deed.

Published on


Bulte, C. H. F. 1992. The differential equation of the deflection curve. International Journal of Mathematical Education in Science and Technology. 23(1): 5-63.

See https://www.tandfonline.com/doi/abs/10.1080/0020739920230106 .

Article Abstract:  This paper presents the derivation and the physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general formulation and solution as a multipoint boundary value problem. An algorithm is presented in which shearing forces, bending moments, deflections, critical load and natural frequency are calculated for (non)-uniform beams and columns, with arbitrary lateral and axial (dis)continuous distributed load functions and concentrated load, on (intermediate) (elastic) supports.

The paper offers a very thorough illustration of modeling building of a physical phenomena with very helpful diagrams and explanations. The diagrams are particualarly well done and very helpful.

Cite this work

Researchers should cite this work as follows:

  • C. H. F. Bulte (2015), "1992-Bulte, C. H. F. - The differential equation of the deflection curve.," https://www.simiode.org/resources/1020.

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