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Stress Distribution and all of its mysteries

Stress Distribution and all of its mysteries. I. The Bulb of Pressure. Force. I. The Bulb of Pressure. Force. “what are the stresses at this point?”. (boo-sinn-esk).

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Stress Distribution and all of its mysteries

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  1. Stress Distributionand all of its mysteries

  2. I. The Bulb of Pressure Force

  3. I. The Bulb of Pressure Force “what are the stresses at this point?”

  4. (boo-sinn-esk) II. The Boussinesq EquationA. Goal: to determine the vertical and horizontal stresses under a point load in a homogeneous, isotropic medium. • Allows us to determine vertical and horizontal stresses at any point in space • Examine the transmission and distribution of stresses in large, extensive masses • of soil. Culvert?

  5. II. The Boussinesq EquationB. The Equation:

  6. II. The Boussinesq EquationB. The Equation: Where v = Poisson’s Ratio (0.48) Also an equation for σy

  7. 6.71

  8. If Poisson’s ratio is ~0.5, equations simplify to: σx = 3Px2z 2π R5 σy = 3Py2z 2π R5

  9. Your turn: Vertical load of 2500 lb/ft2 Determine horizontal (x) and vertical (z) stresses at X= 5, Y= 2, Z = 6

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