Q16. A housing estate is to be located on a site adjacent to a river. Because...
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Q16. A housing estate is to be located on a site adjacent to a river. Because of problems with periodic flooding, the developer will be raising the level of the site by placing 3 m of granular fill over the entire area. Immediately after placing the fill, it is planned to drive 500 mm diameter concrete piles through the fill and to find the piles 2 m into the dense sand which lies 8m below the current land surface. Refer to Figure 1 below for details. 3m 8m 2m 2m -Concrete Pile Existing ground level Water table Top of the proposed fill PROPOSED FILL CLAY DENSE SAND Figure 1: Soil profile at a construction site Properties of various soils layers are given in Table 1. Based on the information presented, answer the given questions. (PC3.2,3.5,S2,S3,K1,S4) Table 1: Properties of the soil layers Soil layer Proposed sand fill Clay Dense sand Y sat kN m 17 18 19 kN3 Ydry Use w = 1.0 for the clay layer 15 16 m 17 Cu(kPa) 0 60 0 25 0 350 2010 0.9 Not applicable 1 Ks Ko 1.5 Not applicable 2.0 Not applicable 0.6 Not applicable (A) Determine the safe load bearing capacity of a single pile using a factor of safety of 3.0 on both the skin friction and end bearing resistance. (B) Determine the capacity of a group of four of the above piles when the piles are installed at a centre-to-centre spacing of 1.5 m (refer to Figure 2 below for details of the arrangement of the piles in the group). 1500 mm Figure 2: Plan view of the pile group 1500 mm FOR SAND, fs = Kso, tan (8) qb=0(N - 1) E = 1- Bearing capacity factor (Na) Ca = Ultimate unit skin friction in clay Cu Undrained cohesion of clay Cub = Undrained cohesion of clay at the base of the pile d= Diameter of the pile USEFUL FORMULAS AND FIGURE E = Efficiency of the pile group Ko= Coefficient of earth pressure at rest K = Earth pressure coefficient at the pile soil interface m = no. of pile rows n = no. of piles in a row 200 150 100 50 0[(n 1)m + (m 1)n] [90 x mx n] 0 Brinch Hansen 25 Depth/least width ratio FOR CLAY, qb= wNcCub Ca = Cu D/B=5 20 70 Nc and No Bearing capacity factors qb= Ultimate unit base resistance s = Centre-to-center spacing of piles Ko 1-sin(0) a = Adhesion factor in clay = Friction angle of soil o = Vertical effective stress w = Reduction factor for base resistance in clay d 0 = tan-1. S D/B=20 D/B=5 35 Berezantsey 30 Angle of shearing resistance (6) 40 45 Q16. A housing estate is to be located on a site adjacent to a river. Because of problems with periodic flooding, the developer will be raising the level of the site by placing 3 m of granular fill over the entire area. Immediately after placing the fill, it is planned to drive 500 mm diameter concrete piles through the fill and to find the piles 2 m into the dense sand which lies 8m below the current land surface. Refer to Figure 1 below for details. 3m 8m 2m 2m -Concrete Pile Existing ground level Water table Top of the proposed fill PROPOSED FILL CLAY DENSE SAND Figure 1: Soil profile at a construction site Properties of various soils layers are given in Table 1. Based on the information presented, answer the given questions. (PC3.2,3.5,S2,S3,K1,S4) Table 1: Properties of the soil layers Soil layer Proposed sand fill Clay Dense sand Y sat kN m 17 18 19 kN3 Ydry Use w = 1.0 for the clay layer 15 16 m 17 Cu(kPa) 0 60 0 25 0 350 2010 0.9 Not applicable 1 Ks Ko 1.5 Not applicable 2.0 Not applicable 0.6 Not applicable (A) Determine the safe load bearing capacity of a single pile using a factor of safety of 3.0 on both the skin friction and end bearing resistance. (B) Determine the capacity of a group of four of the above piles when the piles are installed at a centre-to-centre spacing of 1.5 m (refer to Figure 2 below for details of the arrangement of the piles in the group). 1500 mm Figure 2: Plan view of the pile group 1500 mm FOR SAND, fs = Kso, tan (8) qb=0(N - 1) E = 1- Bearing capacity factor (Na) Ca = Ultimate unit skin friction in clay Cu Undrained cohesion of clay Cub = Undrained cohesion of clay at the base of the pile d= Diameter of the pile USEFUL FORMULAS AND FIGURE E = Efficiency of the pile group Ko= Coefficient of earth pressure at rest K = Earth pressure coefficient at the pile soil interface m = no. of pile rows n = no. of piles in a row 200 150 100 50 0[(n 1)m + (m 1)n] [90 x mx n] 0 Brinch Hansen 25 Depth/least width ratio FOR CLAY, qb= wNcCub Ca = Cu D/B=5 20 70 Nc and No Bearing capacity factors qb= Ultimate unit base resistance s = Centre-to-center spacing of piles Ko 1-sin(0) a = Adhesion factor in clay = Friction angle of soil o = Vertical effective stress w = Reduction factor for base resistance in clay d 0 = tan-1. S D/B=20 D/B=5 35 Berezantsey 30 Angle of shearing resistance (6) 40 45
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Quantitative Methods for Business
ISBN: 978-0324651751
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam
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