Abstract
Series composed of multiplications of beam functions are used in the Ritz method to derive frequency-and buckling-equations for rectangular plates which are subject to arbitrary inplane stresses and have any combinations of fixed, free or simply supported edges. Numerical results are presented and discussed for fully clamped plates under combined uniform shear and direct inplane loads, plates clamped along two parallel edges and simply supported along the remaining two under uniform shear inplane loads and plates clamped along two parallel edges and free on the remaining two and subject to inplane stress fields involving linearly varying direct stress and parabolically varying shear stress. The convergence of the solutions is examined and, where possible, comparison is made with previously published results.
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