Accession Number : AD0257343

Title :   NONLINEAR DEFLECTION OF THE SEMICIRCULAR CANTILEVER BEAM WITH VERTICAL LOADING

Corporate Author : FRANKFORD ARSENAL PHILADELPHIA PA

Personal Author(s) : PEARSON,E.

Report Date : APR 1961

Pagination or Media Count : 1

Abstract : An analysis of the load vs deflection relation for a single-loop spring shown can be reduced to the problem of large deflections for a curved cantilever beam. The deflections considered extend well past the linear range. If the spring is originally circular, the cantilever beam will be semicircular. Besides the end point deflection, it is of interest to determine the position of any point on the spring for a given load to insure that there is proper clearance with related objects. The numerical method used generates the shape of the deflected beam. Several approximations are made but the final result is substantiated by experimental measurements. (Author)

Descriptors :   *CANTILEVER BEAMS, *DEFLECTION, *MATHEMATICAL ANALYSIS, *SPRINGS, HELICAL SPRINGS, MECHANICAL PROPERTIES, NONLINEAR SYSTEMS, NUMERICAL ANALYSIS, TORQUE

Distribution Statement : APPROVED FOR PUBLIC RELEASE