ULTIMATE LOADS OF A CLASS OF SHELLS OF MATERIAL WITH NON-LINEAR BEHAVIOR,
Abstract
From this study it is concluded that the estimate of the ultimate load of arch dams, similar to the ones tested, with the method proposed gives a close lower bound to the maximum service load of the dam. The method is simple and can be applied even with a desk calculator once the curvatures are known. When the vertical curvature is disregarded, as recommended for some elastic analyses, there is a small error in the estimate of the ultimate load; for the cases presented, this error was less than 18 percent. The method as given here is completely automatic because one knows in advance where the critical sections lie, so that, if equilibrium is verified there, it necessarily holds for the entire structure. However the method is general and one should merely specify any statically feasible field to obtain the corresponding load. A similar although much more elaborate approach can be applied if the differential equations of equilibrium are known. From them one obtains the difference equations and sets up a mathematical programming problem. When proceeding thus, there is the advantage of generality over the method proposed but the techniques are more cumbersome and not justified for the types of problems presented. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1965
- Accession Number
- AD0628509
Entities
People
- Emilio Rosenblueth
- Jorge I. Bustamante
Organizations
- National Autonomous University of Mexico