A Method for Determining the Flexural Effects of Statically Loaded Beams on Multiple Elastic Supports

Herein is presented a means for calculating the static deflections, slopes, moments, and shears of a nonuniform beam on two supports for any end conditions and on three simple supports when subjected to concentrated loads and/or concentrated moments. The method is an extension of a simple tabular pr...

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Bibliographic Details
Published in:Journal of applied mechanics 1956-12, Vol.23 (4), p.503-508
Main Author: Di Taranto, R. A
Format: Article
Language:English
Online Access:Get full text
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Summary:Herein is presented a means for calculating the static deflections, slopes, moments, and shears of a nonuniform beam on two supports for any end conditions and on three simple supports when subjected to concentrated loads and/or concentrated moments. The method is an extension of a simple tabular procedure as used by Myklestad (1) for use on a desk calculator or electronic digital computer. The procedure is such that it may be easily carried out by one who need not have any knowledge of beam theory. Influence coefficients may be easily and directly calculated for nonuniform beams on two and three elastic supports. The two-support beam is formulated for simply supported one overhang, two supports with linear and torsional springs, and fixed-fixed end conditions. Extensions of this method to any other boundary conditions are indicated.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.4011391