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The Lagrangian Multiplier Method of Finding Upper and Lower Limits to Critical Stresses of Clamped Plates

Description: "The theory of Lagrangian multipliers is applied to the problem of finding both upper and lower limits to the true compressive buckling stress of a clamped rectangular plate. The upper and lower limits thus bracket the truss, which cannot be exactly found by the differential-equation approach. The procedure for obtaining the upper limit, which is believed to be new, presents certain advantages over the classical Raleigh-Rite method of finding upper limits" (p. 1).
Date: 1946
Creator: Budiansky, Bernard & Hu, Pai C.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

A Theorem and Its Application to Finite Tampers

Description: A theorem is derived which is useful in the analysis of neutron problems in which all neutrons have the same velocity. It is applied to determine extrapolated end-points, the asymptotic amplitude from a point source, and the neutron density at the surface of a medium. Formulas for the effect of finite tampers are derived by its aid, and their accuracy is discussed.
Date: August 15, 1946
Creator: Feynman, R. P.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

Critical dimensions of water-tamped slabs and spheres of active material

Description: The magnitude and distribution of the fission rate per unit area produced by three energy groups of moderated neutrons reflected from a water tamper into one side of an infinite slab of active material is calculated approximately in section II. This rate is directly proportional to the current density of fast neutrons from the active material incident on the water tamper. The critical slab thickness is obtained in section III by solving an inhomogeneous transport integral equation for the fast-… more
Date: August 6, 1946
Creator: Greuling, E.; Argo, H.; Chew, G.; Frankel, M. E.; Konopinski, E. J.; Marvin, C. et al.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

Pile Kinetics

Description: From abstract: "A pile will run steadily at an arbitrary level if it is just critical. For a pile not at equilibrium, equations of motion can be set up that contain as variables the pile power, the number of delayed neutron emitters and, in case it is of importance, also the pile temperature. The coefficients will depend on the average lifetime of the neutrons in the pile, the fractions and periods of delayed neutrons, temperature coefficients of resistivity and similar quantities. For a defini… more
Date: June 14, 1946
Creator: Nordheim, L. W.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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