A BOUSSINESQ PROBLEM FOR A FINITE CYLINDER,
Abstract
A Boussinesq problem for a finite clamped cylinder is redued to a Fredholm integral equation of the second kind with a symmetric kernel using the method of SneddonSrivastav. A simple approximate solution for the integral equation is obtained. This solution is accurate to within 3% provided the ratio of the radius of contact of the punch to the radius of the cylinder is less than one-half. Formulas are derived for the normal stress and displacement components, total force on the punch, and penetration of the tip of the punch as quadratures of the solution of the integral equation which are accurate to within 1% provided the ratio of length to radius of the cylinder is greater than unity. The accuracy of all final results is within 4% because of the accuracy of the solution of the integral equation. If the ratio of radius of contact of the punch to the radius of the cylinder is 0.1 or less, the results differ only slightly from the known solutions for the infinite half space. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0622525
Entities
People
- David B. Teague
Organizations
- North Carolina State University