In this closure to the discussion, the author observes that the paper deals only with the simplest configuration of a single concentrated load directly over a shallow circular pipe of uniform cross section. The strategy however, is not confined to this situation and may be applied directly to more involved cases: for uniform cross sections, eg those built with corrugated sheet, structural steel ribs, or other shapes of nonconstant thickness, the transformation to an equivalent ring of soil for flexural similitude usually is also closer to maintaining the correct axial stiffness and may even be exact; a Barjansky solution is available for concentrated normal or shear loads applied anywhere along the surface which, in turn, may be integrated to give results for eccentric or symmetric distributed loads; similarly, gravity loading is obtained directly for the transformed system from Minden's solution for a shallow tunnel; for more general geometry and particularly 3-dimensional cases, this transformation strategy reduces the problem to a homogeneous one, amenable in certain cases to an analytic solution and, in general, to experimental analysis even when no such "closed form" solution is availabe. Comments are made on the use of a "closed form" solution to an idealized model.

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  • Accession Number: 00099102
  • Record Type: Publication
  • Report/Paper Numbers: ASCE #11398 Proceeding
  • Files: TRIS
  • Created Date: Oct 18 1975 12:00AM