Chang Fo-van. Bending of Rectangular Cantilever Plate with Discontinuous Loading[J]. Applied Mathematics and Mechanics, 1981, 2(4): 369-377.
Citation: Chang Fo-van. Bending of Rectangular Cantilever Plate with Discontinuous Loading[J]. Applied Mathematics and Mechanics, 1981, 2(4): 369-377.

Bending of Rectangular Cantilever Plate with Discontinuous Loading

  • Received Date: 1980-04-01
  • Publish Date: 1981-08-15
  • 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.
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    Timoshenko,S.and Woinowsky-Krieger S.,Theory of Plates and Shells).
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    Nowaski,W.,A Contribution to the Theory of Plates and Shells,中国科学院力学研究所,(1956).
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    张福范,弹性薄板,科学出版社,(1964).
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    张福范,悬臂矩形板的弯曲(有一集中力作用于自由边的中点),清华学报,19卷,2期,(1979).
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