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HU HAI-CHANG. A NOTE ON THE REACTIONS OF A RECTANGULAR PLATE SIMPLY SUPPORTED AT FOUR CORNERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1957, 1(1): 138-139. DOI: 10.6052/0459-1879-1957-1-1957-017
Citation: HU HAI-CHANG. A NOTE ON THE REACTIONS OF A RECTANGULAR PLATE SIMPLY SUPPORTED AT FOUR CORNERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1957, 1(1): 138-139. DOI: 10.6052/0459-1879-1957-1-1957-017

A NOTE ON THE REACTIONS OF A RECTANGULAR PLATE SIMPLY SUPPORTED AT FOUR CORNERS

  • Consider an isotropio rectangular plate simply supported at four corners and loaded arbitrarily. Take a rectangular coordinate axes x, y along tha edges of the plate. It is proved that the reaction Rc at the corner x-a, y=b equals
    Rc=(1/ab)∫∫xyq(x,y)dxdy.
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