非対称三点曲げにおけるはりの大たわみ変形解析

支点摩擦効果を考慮した場合

抄録

In a bending test of spring steels, multi-purpose plastics and so on, a fairly large deflection behavior is observed without exceeding the elastic limit of materials. It is of great technological and utilitarian importance to know this characteristic of the engineering materials for various loading modes. This report describes the nonlinear large deflection problem of a thin, flexible beam in a frictional nonsymmetrical three-point bending. Several analytical solutions are presented for investigating prerequisite quantities such as the deflection, arc length, curvature and bending stress. Moreover a large flexural bending test is carried out in order to check the applicability of the proposed theory. The degree of agreement between experimental results and theoretical assessments is satisfactory. Therefore the nonlinear large deflection theory proposed here can be put into practical use.