Accession Number : AD0011360


Title :   ON SYMMETRIC REINFORCEMENTS OF CIRCULAR CUTOUTS


Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS


Personal Author(s) : Levin, E


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/011360.pdf


Report Date : May 1953


Pagination or Media Count : 31


Abstract : A uniform plane rectangular slab is considered with a centered circular cutout of radius a. The cutout is reinforced by additional material extending to the radius a + delta; the cross section of the reinforcement is prescribed. The slab is subjected to arbitrary uniform tensions along its outer edges, and the inner edge is stress free. A domain of safe loads is defined, and the problem of equal biaxial tensions is analyzed. A reinforcement is considered whose cross section is symmetric about both axes through its center and whose boundary in the first quadrant is monotonically nonincreasing. General results are established for all symmetric reinforcements by approximating the true interaction curve by a parabola. The cylindrical reinforcement, which was solved by Weiss, Prager, and Hodge (J. Appl. Mech. 19:397-402, 1952), is shown to appear as a special case. An estimate of the error introduced by the parabolic approximation is obtained for a quasitoroidal reinforcement. The principal approximation was that of treating the hub as a curved beam with no shear. Although this is successful in the elastic range, certain limitations must be observed when applying the results. Buckling in compression is not considered. The approximations tend to predict an optimistic load capacity, but the assumption of perfect plasticity which neglects strain-hardening will make the estimate conservative. The slab was regarded as being in a homogeneous state of stress.


Descriptors :   *BIAXIAL STRESSES , *REINFORCEMENT(STRUCTURES) , STRESSES , CAPACITY(QUANTITY) , INTERACTIONS , EDGES , LOADS(FORCES) , GRAPHS , ELASTIC PROPERTIES , CURVATURE , CYLINDRICAL BODIES , QUADRANTS , HOMOGENEITY , INTERNAL , CROSS SECTIONS , RECTANGULAR BODIES , TENSION , PARABOLAS , PLASTIC PROPERTIES , EXTERNAL


Subject Categories : Construction Equipment, Materials & Supplies


Distribution Statement : APPROVED FOR PUBLIC RELEASE