Homework 1

# Homework 1 - the circular area(R = 6 ft and that the...

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CEG 4012 Homework 1 Due Fri Sep. 2 nd 2011 Name:_________________________________ Show All Work 1. Calculate the total vertical stress, pore water pressure and effective vertical stress at point P in Fig. 1. 2. Use effective unit weights to directly calculate the effective vertical stress in problem 1. 3. Calculate the total 4. Soil in a deposit underlying an area where a level ground surface exists has a saturated unit weight of 23 kN/m 3 . The groundwater table is at the soil surface. horizontal stress, σ h (psf), at point P in problem 1 if the water table is lowered by 20 ft (into the clay layer). a) Determine the principal stresses for the effective stress condition at a depth of 7 m below the soil surface if the lateral pressure is one half the vertical pressure. b) Determine the value of the maximum shear stress for the effective stress condition at the 7 m depth. 5. Consider a circularly loaded flexible area on the ground surface. Given that the radius of

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Unformatted text preview: the circular area (R) = 6 ft and that the uniformly distributed load (q) = 5000 lb/ft 2 , calculate the vertical stress increase (Δσ z ) at points 1.5, 3, 6, 9, and 12 ft below the ground surface (at the center of the circular area). 6. Figure 2 shows a flexible circular area of radius R = 4m. The uniformly distributed load on the circular area is 300 kN/m 2 . Calculate the vertical stress increase at r = 0, 0.5, 1.0, 1.5, 3.0, 6.0, and 12.0 m, and z = 5.0 m. Provide answers in a table format. 7. Use the pyramid method (2:1) to calculate Δσ v (KPa) at point A under the footing center and B outside the footprint in Fig. 3. 8. Use the Boussinesq method (“mn”) to calculate Δσ v (KPa) at point A under the footing center and B outside the footprint in Fig. 3. 9. Figure 4 shows an embankment load for a silty clay soil layer. Determine the vertical stress increase at points A, B, and C....
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Homework 1 - the circular area(R = 6 ft and that the...

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