
(a)
Find the settlement in sands in 10 years using the strain influence factor method.
(a)

Answer to Problem 17.17CTP
The settlement in sands in 10 years using the strain influence factor method is
Explanation of Solution
Given information:
The width (B) of the continuous foundation is 2.0 m.
The cone penetration resistance
The cone penetration resistance
The depth of footing
The thickness
The unit weight
The saturated unit weight
The stress
The elasticity of sand layer is
Calculation:
Find the applied stress (q) using the equation:
Substitute
Find the effective stress at the depth of
Substitute
Find the maximum value of strain influence factor
Substitute
Find the correction factor
Substitute
Find the correction factor
Substitute 10 years for t.
Find the elasticity of the sand layer
Substitute
Find the elasticity of the sand layer
Substitute
For continuous foundation
Sketch the strain influence diagram as shown in Figure 1.
Refer Figure 1.
Find the strain influence factor
Find the term
Find the term
Find the term
Substitute 0.84 m for
Find the settlement in sand
Substitute 0.92 for
Therefore, the settlement in sands in 10 years using the strain influence factor method is
(b)
Find the elastic settlement in the clay assuming undrained conditions.
(b)

Answer to Problem 17.17CTP
The elastic settlement in the clay assuming undrained conditions is
Explanation of Solution
Given information:
The elasticity of soil is
Calculation:
Consider two homogenous clay layers below the base of the foundation. One is the clay layer up to 4 m depth below foundation and another one is clay layer up to 2 m below foundation.
Sketch the cross section of clay layer 1 as shown in Figure 2.
Here, the depth of clay layer (H) is 4 m.
Find the ratio of depth of footing to breadth of footing
Substitute 1 m for
Find the ratio of length of footing to breadth of footing
Substitute
Find the ratio of depth of clay layer to breadth of footing
Substitute 4 m for H and 2 m for B.
Find the net applied pressure
Substitute
Find the factor
Refer Table 17.1, “Variation of
Take the value of
Determine the factor
Refer Table 17.2, “Variation of
Take the value of
Find the elastic settlement of clay layer 1
Substitute 0.975 for
Sketch the cross section of clay layer 2 as shown in Figure 3.
Here, the depth of clay layer (H) is 2 m.
Find the ratio of depth of footing to breadth of footing
Substitute 1 m for
Find the ratio of length of footing to breadth of footing
Substitute
Find the ratio of depth of clay layer to breadth of footing
Substitute 2 m for H and 2 m for B.
Find the net applied pressure
Substitute
Find the factor
Refer Table 17.1, “Variation of
Take the value of
Determine the factor
Refer Table 17.2, “Variation of
Take the value of
Find the elastic settlement of clay layer 2
Substitute 0.975 for
Find the elastic settlement of the clay layer
Substitute 6.7 mm for
Therefore, the elastic settlement in the clay assuming undrained conditions is
(c)
Find the consolidation settlement in the clay.
(c)

Answer to Problem 17.17CTP
The consolidation settlement in the clay is
Explanation of Solution
Calculation:
Find the increase in vertical stress at the top
Here, t is the thickness of the clay layer and
Substitute
Find the increase in vertical stress at the middle
Here,
Substitute
Find the increase in vertical stress at the bottom
Here,
Substitute
Find the average increase in vertical stress
Substitute
Find the initial effective over burden stress at the middle of the clay layer
Substitute 3 m for D,
Find the consolidation settlement in the clay
Substitute 0.4 for
Therefore, the consolidation settlement in the clay is
(d)
Find the settlement of the footing in 10 years.
(d)

Answer to Problem 17.17CTP
The settlement of the footing in 10 years is
Explanation of Solution
Calculation:
Find the settlement (total settlement) of the footing in 10 years
Substitute 7.55 mm for
Therefore, the settlement of the footing in 10 years is
Want to see more full solutions like this?
Chapter 17 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
- 7.69 Assume that the head loss in the pipe is given by h₁ = 0.014(L/D) (V²/2g), where L is the length of pipe and D is the pipe diameter. Assume α = 1.0 at all locations. a. Determine the discharge of water through this system. b. Draw the HGL and the EGL for the system. c. Locate the point of maximum pressure. d. Locate the point of minimum pressure. e. Calculate the maximum and minimum pressures in the system. Elevation 100 m Water T = 10°C L = 100 m D = 60 cm Elevation 95 m Elevation 100 m L = 400 m D = 60 cm Elevation = 30 m Nozzle 30 cm diameter jet Problem 7.69arrow_forwardA rectangular flume of planed timber (n=0.012) slopes 0.5 ft per 1000 ft. (i)Compute the discharge if the width is 7 ft and the depth of water is 3.5 ft. (ii) What would be thedischarge if the width were 3.5 ft and depth of water is 7 ft? (iii) Which of the two forms wouldhave greater capacity and which would require less lumber?arrow_forwardFigure shows a tunnel section on the Colorado River Aqueduct. The area of the water cross section is 191 ft 2 , and the wetted perimeter is 39.1 ft. The flow is 1600 cfs. If n=0.013 for the concrete lining, find the slope.arrow_forward
- 7.48 An engineer is making an estimate for a home owner. This owner has a small stream (Q= 1.4 cfs, T = 40°F) that is located at an elevation H = 34 ft above the owner's residence. The owner is proposing to dam the stream, diverting the flow through a pipe (penstock). This flow will spin a hydraulic turbine, which in turn will drive a generator to produce electrical power. Estimate the maximum power in kilowatts that can be generated if there is no head loss and both the turbine and generator are 100% efficient. Also, estimate the power if the head loss is 5.5 ft, the turbine is 70% efficient, and the generator is 90% efficient. Penstock Turbine and generator Problem 7.48arrow_forwarddesign rectangular sections for the beam and loads, and p values shown. Beam weights are not included in the loads given. Show sketches of cross sections including bar sizes, arrangements, and spacing. Assume concrete weighs 23.5 kN/m'. fy= 420 MPa, and f’c= 21 MPa.Show the shear and moment diagrams as wellarrow_forwardDraw as a 3D object/Isometricarrow_forward
- Post-tensioned AASHTO Type II girders are to be used to support a deck with unsupported span equal to 10 meters. Two levels of Grade 250, 10 x 15.2 mm Ø 7-wire strand are used to tension the girders with 5 tendons per level, where the tendons on top stressed before the ones on the bottom. The girder is simply supported at both ends. The anchors are located 100 mm above the neutral axis at the supports while the eccentricity is measured at 400 mm at the midspan. The tendon profile follows a parabolic shape using a rigid metal sheathing. A concrete topping (slab) 130 mm thick is placed above the beam with a total tributary width of 4 meters. Use maximum values for ranges (table values). Assume that the critical section of the beam is at 0.45LDetermine the losses (friction loss, anchorage, elastic shortening, creep, shrinkage, relaxation). Determine the stresses at the top fibers @ critical section before placing a concrete topping, right after stress transfer. Determine the stress at the…arrow_forwardPlease solve this question in hand writting step by step with diagram drawingarrow_forwardSolve this question pleasearrow_forward
- Please draw shear and moment diagrams with provided information.arrow_forwardShow step by step solutionarrow_forwardDraw the shear and the moment diagrams for each of the frames below. If the frame is statically indeterminate the reactions have been provided. Problem 1 (Assume pin connections at A, B and C). 30 kN 2 m 5 m 30 kN/m B 60 kN 2 m 2 m A 22 CO Carrow_forward
- Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage LearningPrinciples of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage Learning
- Fundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning



