Accession Number : AD0007930


Title :   LIMIT DESIGN OF A FULL REINFORCEMENT FOR A SYMMETRIC CONVEX CUTOUT IN A UNIFORM SLAB


Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS


Personal Author(s) : HODGE, JR , P G


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/007930.pdf


Report Date : May 1953


Pagination or Media Count : 18


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.


Descriptors :   *THICKNESS , APPROXIMATION(MATHEMATICS) , SYMMETRY , BIAXIAL STRESSES , TENSION , MATHEMATICS , WIDTH , THEORY , CROSS SECTIONS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE