Loads in circular frames due to symmetric floor loading.
Abstract:ESDU 05003 presents graphs which provide the direct and shear forces, moment and shear flow in circular frames arising from uniform floor loading. The figures give the loads in the upper frame and at the intersection of the frame with the floor. The location of the floor is defined by the angle between the top of the frame and the point where the floor meets the frame and curves are provided for six separate floor locations over the range 90° to 165°. The curves in the figures were derived using the classical energy method of analysis and Engineer's Theory of Bending on the assumption that the frames are, or may be considered to be, relatively very stiff. Frames may be considered very stiff when located centrally in an array of many similar frames, all equally loaded. It is also assumed that the flexural stiffness of the frame above the level of the floor is constant around the frame; the difference between the radius of the shell and the radius of the frame measured to the centroid of the frame section is negligible; the lower frame and the floor beam structure are effectively rigid compared with the frame above; and the floor loading is symmetrically distributed. A worked example illustrates the use of the figures.
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