ON THE MEANING OF CONCENTRATED LOAD SOLUTIONS IN THE PLASTIC THEORY OF STRUCTURES,
Abstract
The report investigates the significance of structural theory solutions for structures composed of perfectlyplastic materials when the loading is of a highly localized nature. Limit analysis is applied to illustrative problems involving structures elements of typical dimensions in order to compare the actual collapse loads with those provided by the structural theory. For strip loading of a rectangular beam or circular cylindrical shell it is found that as the width of the loaded region decreases the transition from the type of failure predicted by this structural theory to failure due to local plastic flow is very abrupt, and the structural theory is accurate even for strip widths which are small compared to the thickness of the beam or shell. For a circular plate under a central disc of pressure the results obtained indicate that the transition from the collapse mechanism predicted by the plate theory to local plastic flow involves intermediate mechanisms with appreciable transverse shear resultants, and for plate theory to apply the diameter of the disc must be greater than the plate thickness. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1965
- Accession Number
- AD0615563
Entities
People
- Charles A. Anderson
- Richard T. Shield
Organizations
- Brown University