Stress Analysis by Recurrence Formula of Reinforced Circular Cylinders under Lateral Loads
Abstract
A recurrence formula is developed for the stress analysis of reinforced circular cylinders loaded in the planes of their rings. In contrast to the elementary engineering analysis, deformations of rings and sheet are considered. The recurrence formula in conjunction with appropriate boundary equations can be used to obtain sets of simultaneous linear algebraic equations. The solutions of these equations enable the stress analyst to find the shear flows and direct stresses in the sheet, as well as the shear forces, axial forces, and bending moments in the rings. In order to reduce the amount of computation involved in the stress analysis of relatively long reinforced cylinders, an approximate method of analysis is presented. In this method the cylinder under the consideration is assumed to be infinitely long, and the recurrence formula is treated as a fourth-order finite-difference equations. It is recommended that the approximate solution be utilized for the stress analysis of cylinders loaded at rings located two or more bays from external restraints.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1947
- Accession Number
- ADA801341
Entities
People
- John E. Duberg
- Joseph Kempner
Organizations
- National Advisory Committee for Aeronautics