力学学报 ›› 1957, Vol. 1 ›› Issue (1): 138-139.DOI: 10.6052/0459-1879-1957-1-1957-017

• 研究简报 • 上一篇    

简支干四角顶的矩形板的支座反力

胡海昌   

  1. 中国科学院力学研究所
  • 出版日期:1957-02-18 发布日期:1957-02-18

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

HU HAI-CHANG   

  1. Institute of Mechanics, Academia Sinica
  • Online:1957-02-18 Published:1957-02-18

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, 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.