
Concept explainers
(a)
Show that
(a)

Explanation of Solution
Express the formula for saturated unit weight
Here,
Rearrange equation (1) as shown below.
Here,
Substitute
Hence, the saturated unit weight of the soil
(b)
Show that
(b)

Explanation of Solution
Express the formula for dry unit weight of the soil
Here,
Express the relation between specific gravity of soil solids
Substitute
Hence, the dry unit weight of the soil
(c)
Show that
(c)

Explanation of Solution
Refer to part (a).
The saturated unit weight of the soil
Rearrange Equation as shown below.
Hence, the void ratio
(d)
Show that
(d)

Explanation of Solution
Express the formula for saturated unit weight
Express the formula for specific gravity of soil solids
The degree of saturation
Substitute 1 for S.
Substitute
Here,
Substitute n for
Hence, the moisture content
Want to see more full solutions like this?
Chapter 3 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
- Borrow pit soil is being used to fill an 900,00 yd3 of depression. The properties of borrowpit and in-place fill soils obtained from laboratory test results are as follows:• Borrow pit soil: bulk density 105 pcf, moisture content = 8%, and specific gravity = 2.65• In-place fill soil: dry unit weight =120 pcf, and moisture content = 16%(a) How many yd3 of borrow soil is required?(b) What water mass is needed to achieve 16% moisture in the fill soil?(c) What is the in-place density after a long rain?arrow_forwardsolve for dt/dx=f(t,x)=x+t^2arrow_forwardCalculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the slope deflection method, draw the resulting shear force diagran and bending moment diagram. The beam is subjected to an UDL of w=65m. L=4.5m, L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200 GPa, I = 250x106 mm4.arrow_forward
- Problem 2 (A is fixed and C is a pin) Find the reactions and A and C. 10 k- 6 ft 6 ft B A 2 k/ft 15 ftarrow_forward6. A lake with no outlet is fed by a river with a constant flow of 1200 ft3/s. Water evaporates from the surface at a constant rate of 13 ft3/s per square mile of surface area. The surface area varies with the depth h (in feet) as A (square miles) = 4.5 + 5.5h. What is the equilibrium depth of the lake? Below what river discharge (volume flow rate) will the lake dry up?arrow_forwardProblem 5 (A, B, C and D are fixed). Find the reactions at A and D 8 k B 15 ft A -20 ft C 10 ft Darrow_forward
- Problem 4 (A, B, E, D and F are all pin connected and C is fixed) Find the reactions at A, D and F 8 m B 6m E 12 kN D F 4 marrow_forwardProblem 1 (A, C and D are pins) Find the reactions and A, C and D. D 6 m B 12 kN/m 8 m A C 6 marrow_forwardUniform Grade of Pipe Station of Point A is 9+50.00. Elevation Point A = 250.75.Station of Point B is 13+75.00. Elevation Point B = 244.10 1) Calculate flowline of pipe elevations at every 50 ft. interval (Half Station). 2) Tabulate station and elevation for each station like shown on example 3) Draw Sketcharrow_forward
- Fundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Principles of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage LearningEngineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning





