ON THE USE OF LINEARIZED YIELD CONDITIONS FOR COMBINED STRESSES IN BEAMS,
Abstract
Yield criteria expressed in terms of stress resultants are obtained for typical engineering structures, using the first fundamental theorem of limit analysis. These yield criteria, which are often non-linear, are then replaced by inscribed piecewise linear approximations. The complete solutions based on these approximate yield criteria provide lower bounds; the corresponding values for the upper bound can by obtained by multiplying the lower bound values by a suitable factor. A few examples are worked out to illustrate the simplicity achieved in determining the collapse load. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 22, 1958
- Accession Number
- AD0618858
Entities
People
- P. G. Hodge Jr.
- R. Sankaranarayanan
Organizations
- Illinois Institute of Technology