BENDING OF AN ELLIPTIC PLATE UNDER A MOMENT AT THE CENTER,
Abstract
Solution for elliptical thin plates bent by a concentrated moment placed at the center of the plate is sought for built-in edges and for simply supported edges. In order that the conditions given on the elliptical boundary of the plate may be described as functions of only one coordinate, elliptic coordinates are used. With the aid of tensor calculus, the expressions for moments, shearing forces and the biharmonic equation for deflection are transformed into elliptic coordinates from their expressions in rectangular coordinates. The plates considered are assumed to be homogeneous and isotropic and of uniform thickness. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1963
- Accession Number
- AD0433477
Entities
People
- Shun Cheng
Organizations
- University of Wisconsin–Madison