LIMIT DESIGN OF A FULL REINFORCEMENT FOR A SYMMETRIC CONVEX CUTOUT IN A UNIFORM SLAB
Abstract
The problem considered is the design of a reinforcement for a plane cutout which is to be safe under given loads. The cutout is assumed to be in a plane square slab of uniform thickness subject to uniform tensions on its edges, to have at least 2 perpendicular axes of symmetry, to be convex in shape, and to have its maximum width at an axis of symmetry. The reinforcement is to be designed so that under a given loading all cross sections become fully plastic simultaneously. The method of design is based on a theorem of Prager, Drucker, and Greenberg (Quart. Appl. Math. 9:381-389, 1952); and the special cases of uniaxial and equal biaxial tensions are discussed in detail. The limitations of the method are indicated; all results obtained by beam theory are regarded as first approximations.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1953
- Accession Number
- AD0007930
Entities
People
- P.g. Hodge Jr.
Organizations
- Brown University