Solutions for embedded areal loads in a Westergaard material are presented, and computed settlements under typical heavy nuclear power plant buildings based on Boussinesq, Mindlin, Westergaard, and Mindlin- Westergaard (embedded Westergaard) stress distributions are compared. Mathematical details of the analysis are set forth. The stresses due to a uniformly distributed load over a square area were calculated based on the various theories, and the vertical distribution of stresses under the center of the loaded area and the horizontal distribution of stresses along a section through the center of the square are illustrated (for purposes of comparison). To study the effects of various stress-distribution theories on settlements, computations were made to estimate the settlements for a group of buildings placed at various depths below the ground surface for a typical arrangement of a heavy nuclear plant. Results show that the maximum computed settlement is reduced to 90 percent of the Boussinesq value when using the Mindlin solution and is reduced to 60 percent of the Boussinesq value when using the Westergaard-Mindlin solution. It is noted that for a small depth-to-width ratio, such as for turbines, the differences between the surface and embedded solutions are small, but deeper embedment, such as for Reactor Containment Buildings, the differences are significant.

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  • Accession Number: 00141324
  • Record Type: Publication
  • Report/Paper Numbers: ASCE #12256 Proceeding
  • Files: TRIS
  • Created Date: Oct 26 1976 12:00AM