Matrix methods for calculating cantilever-beam deflections

Stanley U. Benscoter, Myron L. Gossard
Mar 1949

The method of numerical integration for calculation of beam deflection is presented in matrix form to give it the advantages which are inherent in an influence-coefficient method. Both the scalar method of numerical integration and the influence-coefficient method may be improved by introducing weighting matrices. Only distributed loading is considered. Examples are presented to show that the use of weighting matrices reduces the calculation time required to obtain a desired degree of accuracy.

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