ON THE SINGULARITY AT A CONCENTRATED LOAD APPLIED TO A CURVED SURFACE
Abstract
A concentrated load acting perpendicular to a curved boundary of an elastic body is investigated. In the neighborhood of the point of application, the boundary is represented by a sufficiently smooth arbitrary surface of revolution, the axis of which coincides with the load axis. When the surface is locally analytic, the singularity is identical with that applied normal to a plane boundary if the curvature of the meridian of the surface vanishes at the load point. The required modified singularity for nonvanishing curvature is determined in closed form to the extent where the residual surface tractions are finite and continuous. Solutions remain subject to individual verification through appropriate limit processes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1953
- Accession Number
- AD0017972
Entities
People
- E. Sternberg
- R. A. Eubanks
Organizations
- Illinois Institute of Technology