简支干四角顶的矩形板的支座反力
A NOTE ON THE REACTIONS OF A RECTANGULAR PLATE SIMPLY SUPPORTED AT FOUR CORNERS
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摘要:考虑一个简支于四角顶的各向同性的矩形板,如图所示.问题是要求在任意的分布作用下支座的反力.未知的支座反力有四个,而整块板的平衡条件只有三个,因此问题是一次超静定的.为了决定其中某一个反力,可以利用结构学中熟知的影响函数法.Abstract:Consider an isotropio rectangular plate simply supported at four corners and loaded arbitrarily. Take a rectangular coordinate axes x, yalong tha edges of the plate. It is proved that the reaction R cat the corner x- a, y= bequals
R c=(1/ ab)∫∫ xyq( x,y) dxdy.
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