Accession Number : AD0006032


Title :   ANALYSIS OF PLATES CONTINUOUS OVER FLEXIBLE BEAMS


Corporate Author : ILLINOIS UNIV AT URBANA ENGINEERING EXPERIMENT STATION


Personal Author(s) : Sutherland, J G ; Goodman, L E ; Newmark, N M


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/006032.pdf


Report Date : Jan 1953


Pagination or Media Count : 84


Abstract : Approximate numerical solutions were obtained by the Ritz method for the interior panel of a plate which is continuous over a rectangular grid of flexible beams supported by columns at their intersections. Parallel beams were assumed to be of equal stiffness and uniformly spaced. The plate was considered to be acted upon by a lateral load uniformly distributed over the whole area. The plate deflection was represented by an infinite series of polynomial functions (S-functions) derived by W.J. Duncan (Aeronaut. Research Council, R. and M. 2281:23, 1950) for beams clamped at both ends. Numerical solutions were obtained for about 40 cases covering 3 different width-length ratios and a wide range of beam-plate rigidities. A tabulated summary and graphs of the solutions are included. The solutions include, as limiting cases, the known results for plates fixed against rotation and deflection at their supports, and for plates supported by a rectangular array of columns without connecting beams.


Descriptors :   *STIFFNESS , *PANELS , GRIDS , NUMERICAL ANALYSIS , INFINITE SERIES , ARRAYS , SOLUTIONS(GENERAL) , LIMITATIONS , INTERNAL , POLYNOMIALS , RECTANGULAR BODIES , GRAPHS , FUNCTIONS , DEFLECTION


Subject Categories : Mechanics
      Structural Engineering and Building Technology


Distribution Statement : APPROVED FOR PUBLIC RELEASE