MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
9th Edition
ISBN: 9781305971264
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
Question
100%
Book Icon
Chapter 3, Problem 3.4P

(a)

To determine

Calculate the dry unit weight of the soil.

(a)

Expert Solution
Check Mark

Answer to Problem 3.4P

The dry unit weight of the soil is 108.22lb/ft3_.

Explanation of Solution

Given information:

The diameter of the cylindrical mold (d) is 4in..

The height of the cylindrical mold (h) is 4.58in..

The weight of the compacted soil (W) is 4lb.

The moisture content (w) is 12%.

The specific gravity of the soil solids (Gs) is 2.72.

Calculation:

Calculate the volume of the mold (V) using the relation.

V=14πd2h

Substitute 4in. for d and 4.58in. for h.

V=14π×42×4.58=57.554in.3×(1ft12in.)3=0.033ft3

Calculate the dry unit weight of the soil (γd) using the relation.

γd=WV(1+w)

Substitute 4 lb for W, 0.033ft3 for V, and 12% for w.

γd=40.033×(1+12100)=40.033×1.12=108.22lb/ft3

Hence, the dry unit weight of the soil is 108.22lb/ft3_.

(b)

To determine

Calculate the void ratio of the soil.

(b)

Expert Solution
Check Mark

Answer to Problem 3.4P

The void ratio of the soil is 0.568_.

Explanation of Solution

Given information:

The diameter of the cylindrical mold (d) is 4in..

The height of the cylindrical mold (h) is 4.58in..

The weight of the compacted soil (W) is 4lb.

The moisture content (w) is 12%.

The specific gravity of the soil solids (Gs) is 2.72.

Calculation:

Refer to part (a).

The dry unit weight of the soil (γd) is 108.22lb/ft3.

Consider the unit weight of water (γw) is 62.4lb/ft3.

Calculate the void ratio of the soil (e) using the relation.

e=Gsγwγd1

Substitute 2.72 for Gs, 108.22lb/ft3 for γd, and 62.4lb/ft3 for γw.

e=2.72×62.4108.221=169.728108.221=1.5681=0.568

Hence, the void ratio of the soil is 0.568_.

(c)

To determine

Calculate the degree of saturation of the soil.

(c)

Expert Solution
Check Mark

Answer to Problem 3.4P

The degree of saturation of the soil is 57.4%_.

Explanation of Solution

Given information:

The diameter of the cylindrical mold (d) is 4in..

The height of the cylindrical mold (h) is 4.58in..

The weight of the compacted soil (W) is 4lb.

The moisture content (w) is 12%.

The specific gravity of the soil solids (Gs) is 2.72.

Calculation:

Refer to part (b).

The void ratio of the soil is 0.568.

Consider the unit weight of water (γw) is 62.4lb/ft3.

Calculate the degree of saturation (S) using the relation.

S=wGse

Substitute 2.72 for Gs, 12% for w, and 0.568 for e.

S=12100×2.720.568=0.32640.568=0.574×100%=57.4

Hence, the degree of saturation of the soil is 57.4%_.

(d)

To determine

Calculate the additional water needed to achieve 100% saturation in the soil sample.

(d)

Expert Solution
Check Mark

Answer to Problem 3.4P

The required additional water to achieve 100% saturation in the soil sample is 0.316lb_.

Explanation of Solution

Given information:

The diameter of the cylindrical mold (d) is 4in..

The height of the cylindrical mold (h) is 4.58in..

The weight of the compacted soil (W) is 4lb.

The moisture content (w) is 12%.

The specific gravity of the soil solids (Gs) is 2.72.

Calculation:

Refer to part (b).

The void ratio of the soil is 0.568.

Consider the unit weight of water (γw) is 62.4lb/ft3.

Calculate the saturated unit weight of the soil (γsat) using the relation.

γsat=(Gs+e)γw1+e

Substitute 2.72 for Gs, 0.568 for e, and 62.4lb/ft3 for γw.

γsat=(2.72+0.568)×62.41+0.568=205.17121.568=130.8lb/ft3

Calculate the unit weight (γ) using the relation.

γd=WV

Substitute 4 lb for W and 0.033ft3 for V.

γ=40.033=121.21lb/ft3

Calculate the additional water needed to achieve 100% saturation using the relation.

Additional water needed=(γsatγ)V

Substitute 130.8lb/ft3 for γsat, 121.21lb/ft3 for γ, and 0.033ft3 for V.

Additional water needed=(130.8121.21)×0.033=9.59×0.033=0.316lb

Therefore, the additional water needed is 0.316lb_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Find the reinforcements for the mid span and supports for an interior 9 in. thick slab (S-2) in thefloor from Problem 1. Ignore the beams and assume that the slab is supported by columns only (i.e.a flat plate). Sketch the slab and show the reinforcements including the shrinkage andtemperature reinforcement steel. Use f c’ = 4,000 psi and f y = 60,000 psi.NOTE: Problem 3 requires additional column placements at locations such as C and D. The stripof slab between these two columns will behave as a beam support to the one-way slab (with 10 ft.span).   Problem 1. The figures below shows the framing plan and section of a reinforced concrete floor system.Floor beams are shown as dotted lines. The weight of the ceiling and floor finishing is 6 psf,that of the mechanical and electrical systems is 7 psf, and the weight of the partitions is 180psf. The floor live load is 105 psf. The 7 in. thick slab exterior bay (S-1) is reinforced with #5rebars @ 10 in. o.c. as the main positive…
1- A study of freeway flow at a particular site has resulted in a calibrated speed-density relationship, as follows u = 57.5(10.008k) a) Find the free-flow speed and jam density b) Derive the equations describing flow versus speed and flow versus density c) Determine the capacity of the road 2- A rural freeway has a demand volume of 6750 v/hr. It has four 3.4 m lanes in each direction. The traffic stream is comprised of 8% heavy vehicles and a PHF of 0.94. The terrain is rolling throughout the segment. What is the level of service for the facility? What is the capacity? 3- For an urban freeway, how many 3.6 m lanes in each direction are needed to achieve LOS C on a freeway with a peak hour traffic volume of 5725 v/hr and with a PHF = 0.967 The traffic stream is comprised of 11% heavy vehicles and the location is level terrain.
Note: Provide a clear, step-by-step simplified handwritten solution (with no extra explanations) that is entirely produced by hand without any AI help. I require an expert-level answer, and I will assess it based on the quality and accuracy of the work, referring to the attached image for additional guidance. Make sure every detail is carefully verified for correctness before you submit. Thanks!.
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Fundamentals of Geotechnical Engineering (MindTap...
Civil Engineering
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Text book image
Principles of Geotechnical Engineering (MindTap C...
Civil Engineering
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Cengage Learning
Text book image
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Text book image
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781305081550
Author:Braja M. Das
Publisher:Cengage Learning