An Analysis of Large Defections in a Four-point Bending with Friction at All Supports
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In a symmetrical four-point bending with friction at the loading supports and the reaction supports, the problem of nonlinear large deflections of a thin elastic simply supported beam is analysed by both the numerical method (R-K-G method) and the analytical method using the Legendre-Jacobi type elliptic integrals of the first and the second kinds. Moreover, the reduction techniques are proposed to estimate a maximum deflection, an end slope, a maximum bending stress in large flexural states with friction at both loading and reaction supports from the conventional linear bending theory in place of the exact large deflection theory. The experiment is performed to confirm the applicability of the large deflection theory. The experimental results agree well with those obtained form the presented large deflection theory.
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