Abstract
Mechanical property of spring materials is usually evaluated by their elasticity and strength for flexural deflection. Stress-strain curves in flexural deflection can be represented as a relation between the maximum bending stress and the curvature of the beam. It is shown that the mean radius of curvature rest of a beam can be estimated by fitting an equation of a circle by means of Deming's method of least squares for the observed co-ordinates of the neutral axis of the beam. The relation between rest and the radius of curvature r0 at the center of the centrally loaded beam is deduced from the nonlinear equation for a large deflection of a beam. Thus, the following ratio is obtained theoretically and confirmed experimentally.rest/r0=1.44Then, by using a beam equation and by the same analysis as the estimation of the radius of curvature, a precise relation between the maximum bending stress and the curvature of the beam is obtained and it is revealed that the spring-limit value Kb and Young's modulus E are determined with the accuracy of ±2% and ±1%, respectively. As a result of a comparison of the present method with the usual cantilever method, a higher accuracy and precision of the former method is confirmed.
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