Accession Number : AD0803787
Title : OPERATOR METHOD OF SOLUTION FOR BEAMS ON AN ELASTIC FOUNDATION LOADED BY TRANSVERSE AND LONGITUDINAL FORCES (OPERATOROVY SPOSOB VYPOCTU NOSNIKOV NA PRUZNOM PODKLADE NAMAHANYCH SILAMI PRIECNYMI A PLOZDZNYMI).
Descriptive Note : Edited Translation,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH
Personal Author(s) : Eggenberger, Gejza
Report Date : 21 NOV 1966
Pagination or Media Count : 19
Abstract : In this paper a method of solution for beams on an elastic foundation, loaded by a general transverse and a constant axial load, using a technique involving the use of operators is given. The derived nonhomogeneous, linear, fourth-order differential equation is solved according to Mikusinski's operational calculus. By choosing a suitable origin of the coordinate system, the number of constants of integration is reduced to two, even in the case of a general transverse loading. Another advantage of this method is that the entire calculation consists of finding the corresponding original functions for given loading shapes. In determining the coefficients, one proceeds from the characteristic equation of the desired differential equation according to the relation of the coefficients for both transverse and axial loading. In conclusion the method is illustrated by a practical example and a procedure for solving continuous beams resting or rigid or elastic intermediate supports. (Author)
Descriptors : *LOAD DISTRIBUTION), (*BEAMS(STRUCTURAL), FOUNDATIONS(STRUCTURES), ELASTIC PROPERTIES, TENSILE PROPERTIES, COMPRESSIVE PROPERTIES, FORCE(MECHANICS), BENDING, DEFORMATION, DIFFERENTIAL EQUATIONS, CZECHOSLOVAKIA.
Subject Categories : Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE