Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 5, Problem 5.13P
To determine
Find the degree of consolidation and the consolidation settlement at the time duration of 50 days from the starting of surcharge application.
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Q: A proposed earth dam requires 7500 m of compacted soil with relative
density of 94% , maximum void ratio of 0.73, minimum void ratio of 0.4 and
specific gravity (Gs) = 2.67. Two borrow pits are available as described in the
following table. Choose the best borrow pit with minimum cost.
Cost ($/m)
Degree of saturation
(%)
82
Borrow Pit
Water content (%)
A
18.43
10
B
100
24.34
• Problem 2. You are tasked with constructing a rolled fill with a total volume of 35,000 m^3. The borrow that you will use has soil with
w=15%, bulk unit weight= 19.1 kN/m^3; Gs=2.75. The trucks that will move the soil have a capacity of 4.80 m^3. The compaction
specification of your construction project are w=18% and dry unit weight=17.3 kN/m^3.
a) Assuming that each load is at full capacity, how many truckloads are required to construct the fill?
b) What should be the volume of the pit that remains in the borrow area, after all the material required from the fill has been removed?
c)
How many liters of water will have to be added per truck load, assuming that the moisture lost by evaporation, hauling, and excavation is
negligible?
Q5-A proposed earth dam requires 7500
m³ of compacted soil with relative density
of 94%, maximum void ratio of 0.73,
minimum void ratio of 0.4 and specific
gravity (Gs)= 2.67. Two borrow pits are
available as described in the following
table. Choose the best borrow pit with a
minimum cost.
Borrow Pit
A
B
Degree of
saturation %
82
100
Moisture content
%
18.43
24.34
Cost ($/m³)
10
5
Chapter 5 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- QUESTION 1: PHASE RELATIONS a. The bulk unit weight and water content of a soil at a borrow pit are 17.2 kN/ml and 8.2% respectively. A highway fill is being constructed using the soil from this borrow at a dry unit weight of 18.05 kN/m³. Find the volume of the borrow pit that would make one cubic meter of the finished highway fill. b. A soil to be used in the construction of an embankment is obtained by hydraulic dredging of a nearby canal. The embankment is to be: placed at a dry density of 1.72 t/m³ and will have a finished volume of 20,000 m³. The in situ saturated density of the soil at the bottom of the canal is 1.64 t/m³. The effluent from the dredging operation, having a density of 1.43 t/m³, is pumped to the embankment site at the rate of 600 L per minute. The specific gravity of the soil grains is 2.70. i. ii. How many operational hours would be required to dredge sufficient soil for the embankment? what would be the volume of the excavation at the bottom of the canal? c. A…arrow_forwardYour company has won a contract to provide and compact the fill material for an earth levee, with the dimensions shown below. The levee fill is a silty clay soil to be compacted to at least 95% of maximum Standard Proctor of ya = 106 pcf at an OMC of 18%. Your borrow pit has a silty clay with an in-situ moist density of 112.1 pcf at 18%, and a G, = 2.68. When the soil is excavated and loaded on to your trucks, the voids ratio of the material is e = 1.47. Your trucks can haul 15 cubic yards of material per trip. (26) Determine the volume of fill required for the levee; (27) Determine the volume required from the borrow pit; (28) Determine the required number of truckloads. 40* 20 -20 20 450 60' 3:1arrow_forwardsurcharge of 1000 lb/ft?? Assume C, = 1/6 C. 8.6 A soil profile is shown in Figure 8.23. The preconsolidation pressure is 3400 lb/ft?. Estimate the primary consolidation settlement that will take place as a result of a surcharge Ao = 1500 lb/ft. Assume C, = 1/5 C. %3D %3D Aa Dry sand 90=2 G, = 2.65 10 ft Groundwater table Sand 10 ft- G, = 265 Clay 10 ft W= 30% G,= 2.7 Liquid limit=35 Rock Figure 8.23 aning. All Rights Reserved. May not he copied, scanned or duplicated in whole or in Due to olectrIGK nhu scme third parry COnent may be suppressed inm the eBook andoreChuptersarrow_forward
- Your company has won a contract to provide and compact the fill material for an earth levee (an embankment built to prevent overflow of a river), with the dimensions shown below. The levee fill is a silty clay soil to be compacted to atleast 95.1% of maximum standard Proctor of dry unit weight= 109lb/cu.ft at an OMC of 18.6%. Your borrow pit has a silty clay with an in-situ moist density of 112.6lb/cu.ft at 18.1% water content and a Gs = 2.679. When the soil is excavated and loaded on to your trucks, the void ratio of the material is e = 1.46. Your trucks can haul 401 cu.ft of material per trip. DETERMINE THE FF AND SHOW COMPELETE SOLUTION. ALL FINAL ANSWER WILL BE IN 3 DECIMAL PLACES. 1. Determine the volume of fill required for the levee in cu.ft 2. Determine the volume required from the borrow pit in cu.ft 3. Determine the required number of truck loads.arrow_forwardIn the soil profile shown below, the clay is normally consolidated and H,=9m, H2=5m, H3=3m. The depth of water table is then decreased so that H;=2m, H2=12m, H3=3m. a) Calculate the overconsolidation ratio (OCR) at this stage. When a surcharge of Ao = 180 kPa applied to the surface. b) Estimate the primary consolidation settlement of the clay layer. c) Estimate the degree of consolidation will be after 40 days? d) How many days would it take for 90% consolidation? Soil characteristics are as follows (use appropriate relations from the Appendix, 9.81 kN/m³): Yw = Sand: e = 0.56; G, = 2.6 Clay: LL = 63; e = 0.83; G, = 2.77; C, = - Cc; Cy = 6.66 × 10-4cm² /s %3D Ao H1 Sand Groundwater table Sand H2 Clay. Void ratio = e H3 Normally consolidated Sandarrow_forward4. With two cases shown in the following figure: Plot pore pressure with depth for the soils if hydraulic conductivity of soils K1 = 5 x K2. a- b- flow through a unit thickness of the cross-section if K1 = 5 x 10$ (f/s) and K2 = 1 x 10$ (f/s). Estimate the rate of seepage (q) per linear foot of cross-section, i.e. calculate the rate of C- Plot flow net for 2 cases. -z (ft) z (ft) Water Water 3 ft 3 ft Soil 1 1.5 ft Soll 1 Sol 2 3 ft 3 ft 3 ft 1.5 ft Soil 2 Datum psf Datum psf porous stone porous stone 3 ft 1.5 ft 1.5 ft Case 1 Case 2arrow_forward
- Given: rw = 0.25 m, rs = 0.35 m, de =4.5 m, cv 5 cvr = 0.3 m2/month, kh/ks 5 2, and Hc = 9 m. Determine: The degree of consolidation for the clay layer causedonly by the sand drains after six months of surchargeapplicationarrow_forwardSuppose that you are a Project Engineer on a Dam project. The volume of soil required at the dame site is Vd=100,000m3. The final void ratio (ed) is 0.80. Your boss, the Project Manager delegates to you the important decision of buying the earth fill from one of three suppliers. • Supplier X sells fill at OMR. 0.200/m3 with e = 0.90• Supplier Y sells fill at OMR. 0.120/m3 with e = 2.00• Supplier Z sells fill at OMR. 0.150/m3 with e = 1.60Evaluate and select the best supplier based on your knowledge about soil compaction.arrow_forward9- The bulk unit weight and water content of a soil at a borrow pit are 17.2 kN/ml and 8.2% respectively. A highway fill is being constructed using the soil from this borrow at a dry unit weight of 18.05 kN/m³ • Find the volume of the borrow pit that would make one cubic meter of the finished highway fill. Answer: 1.136 m3arrow_forward
- An earth dam require a total of 150 cubic meter of soil compacted with a bulk unit weight of 18.5KN/m^3 and moisture content of 10%, the specific gravity of solid particles is 2.55. Choose two out of the three borrow pits, if borrow pit 3 is automatically one of the choice. Choose the most economical choice.arrow_forwardProblem Number 2: Given the figure below and considering an upward flow, forthe sand the following are its properties e=0.52 and Gs = 2.67. a) Calculate and illustrate through a diagram the 6,u and 6' of the points A, & B.10 Points b) what is the upward seepage per unit volume of soil? 15 m 2 m Valve (open) Inflow Sand P eatarrow_forwardFor constructing an embankment, the soil is transported from a borrow area using a truck which can carry 6m³ of soil at a time. The details are as follows. Borrow Truck Field Property area (loose) (compacted) Bulk density 1.66 1.15 1.82oile (g/cc) Water 8 14 content (%) The quantity of soil to be excavated from the borrow pit, in m3 for a compacted earth fill of 100 m3 isarrow_forward
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