LIMIT DESIGN OF A FULL REINFORCEMENT FOR A SYMMETRIC CONVEX CUTOUT IN A UNIFORM SLAB
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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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. 9381-389, 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.
- Theoretical Mathematics