On Bounds for the Torsional Stiffness of Shafts of Varying Circular Cross Section,
Abstract
The upper and lower bound formulas for the torsional stiffness of shafts of varying circular cross section are computated in accordance with the classical Michell formulation of this problem, through use of the principles of minimum potential and complementary energy. The general results are used to obtain explicit first-approximation bounds which, for the limiting case of the cylindrical shaft, reproduce the known elementary exact results. It is conjectured that the first-approximation lower bound is significantly closer to the exact result that the first-approximation upper bound.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1977
- Accession Number
- ADA040323
Entities
People
- E. Reissner
Organizations
- University of California, San Diego