在不连续荷载作用下的悬臂矩形板的弯曲

以前所讨论的悬臂矩形板,其荷载都是连续的,例如均布荷载及一集中力作用于自由边,现进一步讨论荷载不连续的情形,如有一集中力作用在板中点,可以预料得到,自由边y=a的挠度几乎是相同.并且,沿自由边x=a或x=0,自y=0.5a至y=a这段的挠度曲线,为一斜直线,固定边的总弯矩校核得很好,证实了这计算的可靠.

Bending of Rectangular Cantilever Plate with Discontinuous Loading

The cantilever rectangular plates discussed previously ate all loaded continuously. Such as loaded uniformly or by a concentrated load at any point along the free edge.Let us now go a step further to deal with the case of discontinuous loading by taking a concentrated load at the middle of the plate for an illustrative example.For a numencal example, a square plate is taken.As it can expected, the deflected free edge y=a turns out to be almost a horizontal line, and the part of the free edge x=a from y=0.5 to y=a is deflected into an inclined straight line.Moreover, the total bending moment along the clamped edge checks very closely with the statically determined value from equilibrium,All these data conf irm our calculation.