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#### Concept explainers

A vertical load of 20 k is applied to a

a. Compute the induced vertical stress,

b. Compute the induced vertical stress,

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- Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m, and z = 4 m. In this case, point A is located below the centerline under the strip load. 10.12 Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43
*arrow_forward*A 10 ft diameter flexible loaded area is subjected to a uniform pressure of 1200 lb/ft2. Plot the variation of the vertical stress increase beneath the center with depth z = 0 to 20 ft. In the same plot, show the variation beneath the edge of the loaded area.*arrow_forward*For the same line loads given in Problem 10.8, determine the vertical stress increase, z, at a point located 4 m below the line load, q2. Refer to Figure 10.41. Determine the vertical stress increase, z, at point A with the following values: q1 = 110 kN/m, q2 = 440 kN/m, x1 = 6 m, x2 = 3 m, and z = 4 m. Figure 10.41*arrow_forward* - Use Eq. (6.14) to determine the stress increase () at z = 10 ft below the center of the area described in Problem 6.5. 6.5 Refer to Figure 6.6, which shows a flexible rectangular area. Given: B1 = 4 ft, B2 = 6 ft, L1, = 8 ft, and L2 = 10 ft. If the area is subjected to a uniform load of 3000 lb/ft2, determine the stress increase at a depth of 10 ft located immediately below point O. Figure 6.6 Stress below any point of a loaded flexible rectangular area
*arrow_forward*Refer to Figure 10.48. If R = 4 m and hw = height of water = 5 m, determine the vertical stress increases 2 m below the loaded area at radial distances where r = 0, 2, 4, 6, and 8 m. Circular contact area of radius R on the ground surface Figure 10.48*arrow_forward*Consider a circularly loaded flexible area on the ground surface. Given: radius of the circular area, R = 3 m; uniformly distributed load, q = 250 kN/m 2.Calculate the vertical stress increase Δσ at a point located 5 m (z) below the ground surface (immediately below the center of the circular area).*arrow_forward* - INDUCED LOADS ARE APPLIED ON THE GROUND SURFACE AS SHOWN. POINT LOADS: PA= 250KN PB= 175KN PC= 300KN LINE LOAD: Q1= 150KN/M Q2= 225KN/M DETERMINE: a. THE TOTAL VERTICAL STRESS INCREASE AT POINT A AT A DEPTH OF 5M DIRECTLY UNDERNEATH LINE AB.b. THE TOTAL VERTICAL STRESS INCREASE AT POINT O, 8M FROM A TO THE POSITIVE Y AXIS, PERPENDICULAR TO LINE AB AT THE SAME DEPTH.c. THE TOTAL VERTICAL STRESS INCREASE DIRECTLY AT A POINT BELOW THE LINE LOAD 1, PERPENDICULAR TO POINT O AT THE SAME DEPTH.
*arrow_forward*Consider a circularly loaded flexible area acting on the ground surface. The radius of the circular area is 20 ft and the uniformly distributed load is q = 1,000 lb/ft2. Calculate the vertical stress increase, Δσz, at a depth of 10 ft for a radius of 0 ft (immediately below the center of the circular area) and 20 ft (immediately below the edge of the circular area).*arrow_forward*5. A thick layer of stiff saturated clay is underlain by a layer of sand under artesian pressure. A deep cut is made in the clay layer as shown in the attached figure. Determine: [2] a. The total stress at point A. b. The factor of safety against heaving at point A, if the effective stress is 12% of the total stress.*arrow_forward* - The water table in an 8 m thick silty sand deposit lies at a depth 3 m below the ground level. The entire soil above the water table is saturated by capillary water and the saturated unit weight is 18.8 kN/m^3 . Calculate the a) total vertical effective stress, b) the porewater pressure, and c) the vertical effective stress at 8 m below the ground level. Express answers in kPa rounded to the first decimal place.
*arrow_forward*If the water table was found in the interface of clay and sand instead (at 5m depth), graph the effective stress diagram of the profile. Consider a 2.5m capillary rise and S = 85% in that capillary zone. The properties of the first clay layer apply to the entire zone above the capillary zone. For specific gravity, Gs = 2.68.*arrow_forward*A layer of saturated clay 4m thick is overlain by sand 5m deep, the water table being 3m below the surface. The saturated unit weights of the clay and sand are 19 and 20 kN/m^3, respectively; above the water table the (dry) unit weight of the sand is 17 kN/m^3 . Determine the effective stress at mid-height of the clay layer in kPa. Round your answer to 2 decimal places.*arrow_forward*

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