Affiliation:
1. California Institute of Technology, Pasadena, Calif.
Abstract
Abstract
This paper deals with the stress distribution under plain strain in a corner of any angular magnitude, i.e., a plane with an angular incision or notch.
It begins with a brief statement of the method employed by Dr. Th. von Karman in his exact treatment of a beam in bending (Aachen Abhandlungen, Heft 7, 1927).
A generalization of this method is outlined which is applicable to the corner for any force distribution over the straight boundaries, and the solution is found for a concentrated load at any point of the boundary. The stresses are determined and shown to be infinite at the vertex of the corner.
The discussion points out the very interesting paradox that stresses may be finite for certain continuous loadings, but become infinite if a portion of the load is removed.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献