6_CEG 4012 Notes Fall 2011 CEG 4012 Notes Fall 2011

6_CEG 4012 Notes Fall 2011 CEG 4012 Notes Fall 2011 - S3...

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S3 Point Load on the Surface: Boussinesq (1883) - French Physicist (with the parameters as shown at right) Q o Assumotionc:. I. nALF-SPACE - semi-infinite 2. ELASTIC 3. HOMOGENEOUS - same properties throughout 4. ISOTROPIC - same properties in all directions (at a point) , , , , z .. . !1ov ~~- --'- " r .. " o Westergaard (1938) assumed alternating layers of soil and thin, rigid reinforcement. His formula, shown below, typically provides a smaller !J.o v value. II has specific application to varved clays, but the Boussinesq solution is generally preferred. Westergaard Point Load: Acr - all [[ 1 J] • - 21tZ' [(r/z)' +~']i [ 1 2 ]1, where TJ= ~ 2 - 211 and )l = Poisson's ratio o Boussinesq Example: Find .6.o v at depth z = 5 fI for a point load Q = 200 tons: at r = 0 M. ~(200
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