Seive Analysis
weight of dry soil =
a
b
Sieve No.
Sieve
Opening
(mm)
4.75
2
0.85
0.425
0.25
0.106
0.075
n/a
4
10
20
40
60
100
200
Pan
506.66 g
c
d
Sieve
Sieve
Mass Mass Full
Empty
(g)
750.51
759.63
673.53
702.92
608.12
668.47
568.45
630.26
544.89
598.12
521.15
567.78
512.95
591.85
484.75
647.89
e
Soil
Retained,
Wn (g)
f
g
Cumulative
Cumulative Percent
Weight Retained,
Retained, ∑ Rn
Rn
h
Percent Finer,
100 - ∑ Rn
SOUTHERN ILLINOIS UNIVERSITY CARBONDALE
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
ASSIGNMENT 4: CE423
UNCONFINED COMPRESSION TEST
SUBMITTED BY: SANJEEV REGMI
DATE PERFORMED: 11/06/18
DATE SUBMITTED: 11/13/18
SUBMITTED TO: Dr. SANJEEV KUMAR
Table of Contents
Section
Page No.
Objective & Scope
1
Description
1
List of Equipment, Specimen, & Photographs
1
Procedure
3
Results
4
Graphs and Charts
9
Discussion & Conclusion
11
References
13
Objective & Scope
Objective
The purpose of the Unconfined Compression Test is to determine the unconfined
compressive strength of a cohesive soil sample. This can then be used to calculate the undrained
(with water present) shear strength of a clay or silty soil.
Scope
The main goal of the Unconfined Compression Test is to quickly obtain a measure of the
compressive strength of soils (qu ) that possess enough cohesion. This test helps to determine the
unconsolidated and undrained shear strength of soils. In the experiment, the unconfined
compressive strength is the stress at which the specimen will fail due to shear. The compressive
strain will be found as the maximum load applied at failure, or the maximum load achieved at 15%
strain, whichever occurs first during the laboratory. The undrained shear strength, or S u , is
necessary for the determination of load capacity for structure foundations. Furthermore, the scope
of this experiment also includes calculation of dry unit weight of each sample before the test (γd ),
Degree of saturation (S) of each sample before the test, Initial tangent modulus of the soil and
Secant modulus of the soil at 25, 50, and 75% of q u .
Description
The Unconfined Compression Test is usually performed on undisturbed samples. This
experiment is relatively simple to perform and usually takes no longer than 15 to 20 minutes once
the sample is available. An undisturbed sample of cohesive soil (silt or clay) is obtained from field
boreholes using a Shelby tube sample extractor. Once the sample is obtained, it can be used
immediately to run the test. If the test is to be done in a later date, then the sample is kept in air
tight bags and dipped in water until the test date arrives. Then, the test may begin, and a slow and
steady load may be applied until failure of the specimen occurs—either by bulging or by vertical
cracks seen in the sample.
This experiment gives a good measure of the shear strength of fine-grained cohesive soils.
In this experiment, 4 undisturbed soil samples from two different boreholes were taken to
determine the unconfined compression strength and calculating undrained shear strength of the
soil. The ASTM designation for the Unconfined Compression Test is ASTM D-2166.
List of Equipment & Photographs
List of Equipment
1. Unconfined Compression Testing Machine (1)
2. Undisturbed Soil Samples with length to diameter ratio being 2-2.5 (4)
3. Specimen Trimmer (1)
4. Evaporating Dish (1)
5. Balance (1)
1
Photographs
Photo 1: Unconfined Testing Machine
Photo 2: Failed Soil Specimen
Note: Photo 1 shows the testing machine used to perform this experiment. The soil
sample was placed between the two plates seen in the picture so that it was secure and the
plate was perpendicular to the height of the soil. This allowed the specimen to be
compressed with only axial loading via the machine.
Note: Photo 2 shows the result of the Unconfined Compression test. One may easily see
that the sample failed due to shear. Cracks and bulging may be seen in the sample.
2
Procedure
This experiment was carried out for 4 different undisturbed samples taken from a Shelby Tube
from two different boreholes.
1. The sample kept in air tight bags and stored in water until test time arrives.
2. The sample is taken out on test day. The top and bottom of the sample is trimmed so that
it can properly fit between the bottom plate and top plate of the testing machine.
3. While trimming it is made sure that the length to diameter ratio of the sample is kept
between 2-2.5.
4. Measure the diameter of the trimmed specimen at the top, bottom, and middle. Then
measure the length in three places. This should be done so that you rotate approximately
120 degrees between each measurement. Record each value and find the average length
and diameter.
5. Place the specimen on the bottom plate of the Testing Machine. Make sure that the
specimen is centered on the plate and that the length of the sample is perpendicular to the
plate of the machine. This allows the load applied during the experiment to be only axial
in nature.
6. Slowly move the bottom plate of the machine in upward direction until the top of the
specimen touches the top plate so that the specimen is secure but not yet carrying any load.
If necessary, zero out any loads that may be showing or any indicators.
7. Turn the machine on and adjust the strain rate (the rate at which the load is applied) to a
desired amount between 0.05%.
8. Record the load at a beginning increment of 0.01 inches of strain, and then continue to
record the load at each 0.01-inch increment following (0.01, 0.02, 0.03 inches, etc.). Once
the strain reaches a value of 0.10 inches, begin taking readings at 0.02 in increments of
strain (1.20, 1.40, 1.60 inches, etc.).
9. Once the load begins to decrease, take an additional 2 to 3 measurements. The decrease in
load indicates that the specimen has failed.
10. Turn off the machine and remove the specimen. Use an evaporating dish to collect a portion
of the sample and determine its moisture content.
3
Results
The following measurements and calculations were done before the start of the tests.
Sample 1
Sample 2
Sample 3
Sample 4
Diameter
(in)
length
(in)
Diameter
(in)
length
(in)
Diameter
(in)
length
(in)
Diameter
(in)
length
(in)
1st read.
2nd read.
2.846
2.886
4.864
4.884
2.712
2.709
5.616
5.651
2.865
2.869
5.358
5.341
2.842
2.862
5.52
5.531
3rd read.
2.879
4.89
2.735
5.634
2.876
5.311
2.844
5.51
Average
2.870
4.879
2.719
5.634
2.870
5.337
2.849
5.520
The tables containing the measurements and calculations from the unconfined compression tests
are shown in the following pages.
4
Unconfined Compression Test Results
DATA SHEET (Sample 1)
Specimen
Deformation,
DL (inches)
Column
(1)
0.00
0.01
0.02
Vertical
Strain, e =
DL/L
Column
(2)
0
0.00204499
0.00408998
Proving
Ring
dial
reading
Column
(3)
0
1
2
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.10
0.11
0.12
0.14
0.16
0.18
0.20
0.24
0.28
0.32
0.36
0.40
0.44
0.48
0.00613497
0.00817996
0.01022495
0.01226994
0.01431493
0.01635992
0.01840491
0.0204499
0.02249489
0.02453988
0.02862986
0.03271984
0.03680982
0.0408998
0.04907975
0.05725971
0.06543967
0.07361963
0.08179959
0.08997955
3
4
5
6
7
8
12
16
21
25
34
41
47
53
61
65
69
69
70
70
Can #
S19
Load =
Column (3) x
Corrected
Calibration
Factor(2.04)(lb) Area (A c)
Column
Column
(4)
(5)
0
6.471
2.04
6.484
4.08
6.497
6.12
8.16
10.2
12.24
14.28
16.32
24.48
32.64
42.84
51
69.36
83.64
95.88
108.12
124.44
132.6
140.76
140.76
142.8
142.8
6.511
6.524
6.538
6.551
6.565
6.578
6.592
6.606
6.620
6.634
6.661
6.690
6.718
6.747
6.805
6.864
6.924
6.985
7.047
7.111
Moisture Content Calculations
Can +
Dry
Can
Dry
Water Weight
Weight
20.5700
58.3100
10.07
37.74
5
Stress =
Column
4/Column 5
Column
(6)
0.000
0.315
0.628
0.940
1.251
1.560
1.868
2.175
2.481
3.714
4.941
6.472
7.688
10.412
12.503
14.272
16.026
18.287
19.319
20.330
20.152
20.263
20.083
Water %
0.27
DATA SHEET (Sample 2)
Specimen
Deformation,
DL (inches)
Column
(1)
0.00
0.01
Vertical
Strain, e =
DL/L
Column
(2)
0
0.00177504
Proving
Ring
dial
reading
Column
(3)
0
1
Load =
Column (3) x
Calibration
Factor(2.04)(lb)
Column
(4)
0
2.04
Corrected
Area (A c)
Column
(5)
5.805
5.815
Stress =
Column
4/Column
5
Column
(6)
0.000
0.351
0.02
0.00355009
2
4.08
5.826
0.700
0.03
0.04
0.00532513
0.00710017
3
4
6.12
8.16
5.836
5.847
1.049
1.396
0.05
0.06
0.07
0.08
0.09
0.10
0.12
0.00887521
0.01065026
0.0124253
0.01420034
0.01597539
0.01775043
0.02130051
5
6
7
8
10
11
12
10.2
12.24
14.28
16.32
20.4
22.44
24.48
5.857
5.867
5.878
5.889
5.899
5.910
5.931
1.742
2.086
2.429
2.771
3.458
3.797
4.127
0.14
0.16
0.0248506
0.02840069
14
15
28.56
30.6
5.953
5.975
4.798
5.122
0.18
0.20
0.24
0.28
0.32
0.36
0.40
0.44
0.48
0.52
0.56
0.60
0.64
0.68
0.03195077
0.03550086
0.04260103
0.0497012
0.05680137
0.06390154
0.07100172
0.07810189
0.08520206
0.09230223
0.0994024
0.10650257
0.11360275
17
19
21
23
26
28
30
32
34
36
36
33
28
34.68
38.76
42.84
46.92
53.04
57.12
61.2
65.28
69.36
73.44
73.44
67.32
57.12
5.997
6.019
6.063
6.109
6.155
6.201
6.249
6.297
6.346
6.395
6.446
6.497
6.549
5.783
6.440
7.065
7.681
8.618
9.211
9.794
10.367
10.930
11.483
11.394
10.362
8.722
Dry
Weight
46.59
Water %
0.27
Can #
P22
Moisture Content Calculations
Can +
Can
Dry
Water Weight
31.3300
77.9200
12.79
6
DATA SHEET (Sample 3)
Specimen
Deformation,
DL (inches)
Column
(1)
0.00
0.01
0.02
Vertical
Strain, e =
DL/L
Column
(2)
0
0.00187383
0.00374766
Proving
Ring
dial
reading
Column
(3)
0
3
6
Load =
Column (3) x
Calibration
Factor(2.04)(lb)
Column
(4)
0
6.12
12.24
Corrected
Area (A c)
Column
(5)
6.469
6.481
6.494
Stress =
Column
4/Column
5
Column
(6)
0.000
0.944
1.885
0.03
0.04
0.00562149
0.00749532
10
14
20.4
28.56
6.506
6.518
3.136
4.382
0.05
0.06
0.07
0.08
0.09
0.10
0.11
0.00936914
0.01124297
0.0131168
0.01499063
0.01686446
0.01873829
0.02061212
16
20
22
25
28
29
32
32.64
40.8
44.88
51
57.12
59.16
65.28
6.530
6.543
6.555
6.568
6.580
6.593
6.605
4.998
6.236
6.846
7.765
8.681
8.973
9.883
0.12
0.14
0.02248595
0.0262336
34
38
69.36
77.52
6.618
6.644
10.480
11.668
0.16
0.18
0.20
0.24
0.28
0.32
0.36
0.02998126
0.03372892
0.03747658
0.04497189
0.05246721
0.05996252
40
42
43
42
38
34
81.6
85.68
87.72
85.68
77.52
69.36
6.669
6.695
6.721
6.774
6.827
6.882
12.235
12.797
13.051
12.649
11.354
10.079
Dry
Weight
Water %
34.62
0.21
Can #
Can
P-7
20.8800
Moisture Content Calculations
Can +
Dry
Water Weight
55.5000
7.19
7
DATA SHEET (Sample 4)
Specimen
Deformation,
DL (inches)
Column
(1)
0.00
0.01
Vertical
Strain, e =
DL/L
Column
(2)
0
0.00181148
Proving
Ring
dial
reading
Column
(3)
0
6
Load =
Column (3) x
Calibration
Factor(2.04)(lb)
Column
(4)
0
12.24
Corrected
Area (A c)
Column
(5)
6.376
6.388
Stress =
Column
4/Column
5
Column
(6)
0.000
1.916
0.02
0.00362297
9
18.36
6.400
2.869
0.03
0.00543445
13
26.52
6.411
4.136
0.04
0.05
0.06
0.07
0.08
0.00724594
0.00905742
0.01086891
0.01268039
0.01449188
16
20
24
27
31
32.64
40.8
48.96
55.08
63.24
6.423
6.435
6.446
6.458
6.470
5.082
6.341
7.595
8.529
9.774
0.09
0.10
0.11
0.12
0.01630336
0.01811485
0.01992633
0.02173782
34
37
40
41
69.36
75.48
81.6
83.64
6.482
6.494
6.506
6.518
10.700
11.623
12.542
12.832
0.14
0.02536079
44
89.76
6.542
13.720
0.16
0.18
0.20
0.24
0.28
0.32
0.02898376
0.03260673
0.0362297
0.04347564
0.05072157
45
39
37
31
24
91.8
79.56
75.48
63.24
48.96
6.567
6.591
6.616
6.666
6.717
13.980
12.070
11.409
9.487
7.289
Dry
Weight
Water %
49.65
0.20
Can #
Can
P-4
20.4900
Moisture Content Calculations
Can +
Dry
Water Weight
70.1400
10.17
8
Additional Calculations
The following calculations to fulfill the additional scope of the experiment were done after
completion of the test.
Specific Gravity
(Gs )
= 2.7
Area
(in2 )
Sample
Length
(in)
Volume
(in3 )
Weight
(lb)
Moist
Unit
Weight
(lb/in3 )
Water
Content
(w)
Dry Unit
Weight
(lb/ft3 )
Void
Ratio
1
2
6.4707
5.8050
4.8793
5.6337
31.5729
32.7034
2.1640
2.3630
0.0685
0.0723
0.2668
0.2745
93.4908
97.9641
0.8021
0.7198
0.8982
1.0297
3
6.4692
5.3367
34.5242
2.5280
0.0732
0.2077
104.7717
0.6081
0.9222
4
6.3764
5.5203
35.1999
2.6070
0.0741
0.2048
106.2224
0.5861
0.9436
Graphs and Charts
Legend:
Initial Tangent Modulus
Secant Modulus at 50% of qu
Secant Modulus at 25% of q u
Secant Modulus at 75% of q u
Stress vs Strain Curve(Sample 1)
30.000
25.000
20.000
Stress (lb/in2)
Degree of
Saturation
(Sr)
15.000
10.000
5.000
0.000
0
0.01
0.02
0.03
0.04
0.05
Strain
9
0.06
0.07
0.08
0.09
0.1
Stress vs Strain Curve (Sample 2)
14.000
12.000
Stress (lb/in2)
10.000
8.000
6.000
4.000
2.000
0.000
0
0.02
0.04
0.06
-2.000
0.08
0.1
0.12
Strain
Stress vs Strain Curve (Sample 3)
14.000
12.000
Stress (lb/in2)
10.000
8.000
6.000
4.000
2.000
0.000
0
-2.000
0.01
0.02
0.03
0.04
Strain
10
0.05
0.06
0.07
Stress vs Strain Curve (Sample 4)
16.000
14.000
Stress (lb/in2)
12.000
10.000
8.000
6.000
4.000
2.000
0.000
0
0.01
0.02
0.03
Strain
0.04
0.05
0.06
From the plotted graphs following information can be deduced:
Sample
Unconfined
Compressive
Strength
(lb/in2 ) (qu)
Undrained
shear strength
(lb/in2 ) (su )
Initial tangent
Modulus
(lb/in2 ) (E t )
Secant Modulus (lb/in2 )
25% of qu
50% of qu
75% of qu
1
2
3
20.33
11.49
13.05
10.165
5.745
6.525
150
252.5
620
242.0238
239.375
652.5
350.5172
191.5
543.75
390.9615
172.35
489.375
4
14
7
1000
875
777.7778
700
Discussion & Conclusion
Based on the results from the Unconfined Compression Test, the objectives of the
experiment were met. As seen from our Stress v. Strain Graphs the unconfined compressive
strength of the soil samples 1 through 4 were found to be 20.33, 11.49, 13.05 and 14.00 lb/in2
respectively. The undrained shear strength of the soil samples 1 through 4 were calculated to be
10.165, 5.745, 6.525 and 7.00 lb/in2 respectively. The dry unit weight, void ratio and degree of
saturation were also calculated after the completion of the test which are shown in the table in
11
results section. However, the degree of saturation of sample 2 was calculated to be greater than 1
which is an error. The degree of saturation of a soil cannot be more than 1. This error might have
caused due to error in measurement done for moisture content calculation. Based on the results,
Sample 1 to 4 can be classified as: stiff clay, soft clay, medium stiff clay and medium stiff clay
respectively. Test of sample 2 yield in failure by bulging. The initial tangent modulus and secant
modulus at 25%, 50% and 75% of qu were also calculated from the stress vs strain plots for each
sample(tabulated above). These values come in handy during design purposes depending on what
design and analysis is being performed: design of shallow foundations, deep foundations, slope
stability and retaining structures, pavements etc. In each case the importance of each modulus may
vary. Depending on the anticipated loading pattern and settlement pattern appropriate modulus is
used for design purposes. In practice, initial tangent modulus is mostly used.
12
References
Das, Braja M. Soil Mechanics Laboratory Manual. Oxford University Press, 2016.
Sobhan, Khaled, and Braja M. Das. Principles of Geotechnical Engineering. Cengage Learning
2018.
Jean-Louis Briaud, Introduction to Soil Moduli. 2001
Das, Bajra M., Principles of Foundation Engineering. Cengage Learning 2018.
13
SOIL MECHANICS
LABORATORY MANUAL
Sixth Edition
Braja M. Das
Dean, College of Engineering and Computer Science
California State University, Sacramento
New York Oxford
OXFORD UNIVERSITY PRESS
2002
CONTENTS
I.
2.
3.
4.
5.
6.
7.
B.
9.
10. .
II.
12.
13.
14.
15.
16.
17.
lB.
Laboratory Test and Report Preparation
Determination of Water Content 5
Specific Gravity 9
Sieve Analysis
15
Hydrometer Analysis
23
Liquid Limit Test 35
Plastic Limit Test 41
Shrinkage Limit Test 45
Engineering Classification of Soils
51
Constant Head Permeability Test in Sand
69
Falling Head Permeability Test in Sand
75
Standard Proctor Compaction Test 81
Modified Proctor Compaction Test 89
Determination of Field Unit Weight of
Compaction by Sand Cone Method 93
Direct Shear Test on Sand 99
Unconfined Compression Test 109
Consolidation Test
I 17
Triaxial Tests in Clay
129
References
145
Appendices
A. Weight-Volume Relationships· 147
B.
Data Sheets for Laboratory Experiments
151
C. Data Sheets for Preparation of Laborat~ry Reports
215
PREFACE
Since the early 1940's the study of soil mechanics has made great progress all over the world.
A course in soil mechanics is presently required for undergraduate students in most four- year
civil engineering and civil engineering technology programs. It usually includes some
laboratory procedures that are essential in understanding the properties of soils and their
behavior under stress and strain; the present laboratory manual is prepared for classroom use
by undergraduate students taking such a course.
The procedures and equipment described in this manual are fairly common. For a few
tests such as permeability, direct shear, and unconfined compression, the existing equipment
in a given laboratory may differ slightly. In those cases, it is necessary that the instructor
familiarize students with the operation of the equipment. Triaxial test assemblies are costly,
and the equipment varies widely. For that reason, only general outlines for triaxial tests are
presented.
For each laboratory test procedure described, sample calculation(s) and graph(s) are
inCluded. Also, blank tables for each test are provided at the end of the manual for student
use in the laboratory and in preparing the final report. The accompanying diskette contains
the Soil Mechanics LaboratoryTest Software, a stand-alone program that students can use
to collect and evaluate the data for each of the 18 labs presented in the book. For this new
edition, Microsoft Excel templates have also been provided for those students who prefer
working with this popular spreadsheet program.
Professor William Neuman of the Department of Civil Engineering at California State
University, Sacramento, took inost of the photographs used in this edition. Thanks are due
to Professor Cyrus Aryarti of the Department of Civil Engineering at Califoruia State
UnIversity, Sacramento, for his assistance in taking the photographs. Last, I would like to
thank my wife, Janice F. Das, who apparently possesses endless energy and enthusiasm. Not·
only did she type the manuscript, she also prepared all of the tables, graphs, and other line
drawings.
BrajaM Das
dasb@csus.edu
I
Laboratory Test and
Preparation of Report
.~
Introduction
Proper laboratory testing of soils to detennine their physical properties is an integral part in
the design and construction of structural foundations, the placement and improvement of soil
properties, and the specification and quality control of soil compaction works. It needs to be
kept in mind that natural soil deposits often exhibit a high degree of nonhomogenity. The
physical properties of a soil deposit can change to a great extent even within a few hundred
feet. The fundamental theoretical and empirical equations that are developed in soil
mechanics can be properly used in practice if, and only if, the physical parameters used in
those equations are properly evaluated in the laboratory. So, learning to perfonn laboratory
tests of soils plays an important role in the geotechnical engineering profession.
Use of Equipment
Laboratory equipment is never cheap, but the cost may vary widely. For accurate experimental results, the equipment should be properly maintained. The calibration of certain
equipment, such as balances and proving rings, should be checked from time to time. It is
always necessary to see that all equipment is clean both before and after use. Better results
will be obtained when the equipment being used is clean, so alwa);'s maintain the equipment
as if it were your own.
Recording the Data
,"
J " .
'
b
In any experiment, it is always a good habit to record all data in the proper table immediately
after it has been taken. Oftentimes, scribbles on scratch paper may later be illegible or even
misplaced, which may result in having to conduct the experiment over, or in obtaining inaccurate results.
1
2
Soil Mechanics Laboratory Manual
Report Preparation
In the classroom laboratory, most experiments described herein will probably be conducted
in small groups. However, the laboratory report should be written by each. student
individually. This is one way for students to improve their technical writing skills. Each
report should contain:
1. Cover page-This page should include the title of the experiment, name, and date on
which the experiment was performed.
2. Following the cover page, the items listed below should be included in the body of
the report:
a. Purpose of the experiment
b. Equipment used
c. A schematic diagram of the main equipment used
d. A brief description of the test procedure
3. Results-This should include the data sheet(s), sample calculations(s), and the
required graph(s).
4. Conclusion-A discussion of the accuracy of the test procedure should be included
in the conclusion, along with any possible sources of error.
120r---~~---r-----'
120
0!:----''----'-~1;':5,--.-L-.,!25
(a)
Figure 1-1.
(a) A poorly drawn graph for
dry unit weight of soil vs.
moisture content
80 0!;----'--!c-5-----:;1';;-0--~15
Moisture content, w (%)
(b)
(b) The results'given in (a),
drawn in a more presentable
manner
Soil Mechanics Laboratory Manual
3
Graphs and Tables Prepared for the Report
Graphs and tables should be prepared as neatly as possible. Always give the units. Graphs
should be made as large as possible, and they should be properly labeled. Examples of a
poorly-drawn graph and an acceptable graph are shown in Fig. 1-1. When necessary, French
curves and a straight edge should be used in preparing graphs.
Table 1-1. Conversion Factors
Length
.,,
_1 in.
1ft
~
25.4 mm
0.3048 m
304.8 mm
1 mm
1m
,
.!-~
~
1
Area
1 em2
1 in 3
1 ft3
1ft'
16.387 em 3
0.028317 m3
28.3168 I
I em3
1 ftls
304.8 m\ll/s
0.3048 m/s
5.08 mm/s
0.00508 m/s
I em/s
1.969 ftlmin
1034643.6 ftlyear
1~
:~
x 10-2 in.
x 10-3 ft
in.
ft
6.4516 x 10-4 m2
6.4516 em2
645.16 mm2
929 x 1O-4m 2
929.03 em2
92903 mm 2
1 in. 2
~
~
,l'
3.937
3.281
39.37
3.281
.,,
--.~
,:l
:1
1 m2
0.155 in 2
1.076 x 10-3 ~
1550 in 2
10.76 ft2
~
·.~i
Volume
'1
~
i
I m3
.~
-Jb«n"'o"'w,u'n....
d""quvei,l!:,Y-"-sl""lt_ _ __
Sample No.
Westwind Boulevard
Location
Tested by _ _ _ _ _ _..,,-_ _ _ _ _ _ __
Date
I
Mass of coated shrinkage limit dish, WI (g)
/2.34
Mass of dish + wet soil, W2 (g)
40.43
Mass of dish + dry soil, W3 (g)
33.68
Wi
(%) = (W, - W,) x 100
(W, -
31.63
w;)
Mass of mercury to fill the dish, W4 (g)
/98.83
Mass of mercury displaced by soil pat, W5 (g)
/50.30
~Wi
(%)
= (~ - W,)
SL
= Wi -
X
100
(13.6)(W; - W;)
(~- W,)
13.6(W, -W;)
(100)
/6.72
/4.91
8
Soil Mechanics Laboratory Manual
49
General Comments
The ratio of the liquid limit to the shrinkage limit (LLI SL) of a soil gives a good idea about
the shrinkage properties ofthe soil. If the ratio of LLISL is large, the soil in the field may
undergo undesirable volume change due to change in moisture. New foundations constructed
on these soils may show cracks due to shrinking and swelling of the soil that result from
seasonal moisture change.
Another parameter called shrinkage ratio (SR) may also be determined from the
shrinkage limit test. Referring to Fig. 8-1
SR = _.'l_V_/~VI,
.'lw /W,
.'lV/VI
=~
(.'lVpw)/w,
P'YI
(8.4)
where Ws = weight of the dry soil pat
=W3 -W\
If Ws is in grams, VI is in cm3 and Pw = 1 g/cm3 . So
SR= W,
VI
(8.5)
The shrinkage ratio gives an indication of the volume change with change in moisture
content.
9
Engineering Classification
of Soils
Introduction
Soils are widely varied in their grain-size distribution (Chapters 4 and 5). Also,depending
on the type and quantity of clay minerals present, the plastic properties of soils (Chapters 6,
7 and 8) may be very different. Various types of engineering works require the identification
and classification of soil in the field. In the design of foundations and earth-retaining struc- .
tures, construction of highways, and so on, it is necessary for soils to be arranged in specific
groups and/or subgroups based on their grain-size distribution.and plasticity. The process of
placing soils into various groups and/or subgroups is called soil classification.
For engineering purposes, there are two major systems that are presently used in the
United States. They are: (i) the American Association ofState Highway and Transportation
Officials (AASHTO) Classification System and (ii) the Unified Classification System. These
two systems will be discussed in this chapter.
American Association of
State Highway and
,
Transportation Officials ,LL- 30=49- 30=19.
So this soil isA-7-6.
Soil Mechanics Laboratory Manual
4.
5.
57
From Equation (9-2)
GI= (F200 - 35)[0.2 + 0.005(LL - 40)] + 0.01(F2oo - 15)(PJ - 10)
= (58 - 35)[0.2 + 0.005(49 - 40)] + 0.01(58 - 15)(21 - 10)
= 5.64 + 4.73 = 10.37 '" 10
So the soil is classified asA-7-6(JO).
Unified Classification System
This classification system was originally developed in 1942 by Arthur Casagrande for airfield
construction during World War II. This work was conducted on behalf of the U.S. Anny
Corps of Engineers. At a later date, with the cooperation of the United States Bureau of
Reclamation, the classification was modified. More recently, the American Society of
Testing and Materials (ASTM) introduced a more definite system for group name of soils.
In the pre-sent form, it is widely used by foundation engineers all over the world. Unlike the
AASHTO system, the Unified system uses symbols to represent the soil types and the index
properties of the soil. They are as follows:
G
Gravel
S
Sand
W
Well,-graded (for grain-size
distribution)
P
Poorly-graded (for grain-size
distribution)
M
Silt
C
Clay
L
Low to medium plasticity
0
Organic silts and clays
H
High plasticity
Pt
Highly organic soil and peat
Soil groups are developed by combining symbols for two categories listed above, such
as GW, SM, and so forth.
Step-by-Step Procedure for Unified Classification System
1.
2.
If it is peat (i.e., primarily organic matter, dark in color, and has organic odor),
classifY it as Pt by visual observation. For all other soils, determine the percent of soil
passing through U.S. No. 200 sieve (F200 ).
Determine the percent retained on U.S. No, 200 sieve (R 200 ) as
58
Soil Mechanics Laboratory Manual
(9.3)
3.
4.
(nearest whole number)
If R200 is greater than 50%, it is a coarse-grained soil. However, if ~oo is less than
or equal to 50%, it is a fine-grained soil. For the case where R200 s 50% (i.e., finegrained soil), go to Step 4. If R200 > 50%, go to Step 5.
For fine-grained soils (i.e., R 200 S 50%, determine if the soil is organic or inorganic
in nature.
a. If the soil is organic, the group symbol can be OH or OL. If the soil is inorganic, the group 'symbol can be CL, ML, CH, MH, or CL-ML.
b. Determine the percent retained on U.S. No.4 sieve (R 4) as
R4 = 100 - F4
(9.4)
i
(nearest whole number)
where F4 ='percent finer than No.4 sieve
Note that R4 is the percent of gravel fraction in the soil (OF), so
(9.5)
c. Determine the percent of sand. fraction in the soil (SF), or
SF=R200
5.
-
OF
(9.6)
d. For inorganic soils, determine the liquid limit (LL) and the plasticity index
(Pl). Go to Step 4e. For organic soils, determine the liquid limit (not oven
dried), LLNOD ; the liquid limit (oven dried), LIoD; and the plasticity index
(not oven dried), PINOD' Go to Step 4f.
e. With known values of R 200, OF, SF, SF/OF, LL and PI, use Table 9-3 to
obtain group symbols and group names of inorganic soils.
f. With known values of LLNOD' LLoD , PINOD ' R200 , OF, SF and SF/OF, use
Table 9-4 to obtain group symbols and group names of organic soils.
Figure 9-2 shows a plasticity chart with group symbols for fine-grained soils.
For coarse-grained soils:
a. If R4 > 0.5R 200> it is a gravelly soil. These soUs may have the following group
symbols:
OW OW-OM
OF
OW-OC
OM OP-OM
OC
OP-OC
OC-OM
Soil Mechanics Laboratory Manual
59
70
60
CH
or
50
j
OR
40
~
s::
OL
20
10
00
y" . t-:'>$'
or
30
--- "MI-_C;;hty'
10
20
30
';'
."",0 ..
CL
.~
~r,:jV
V
/
MH
or
L ~
or
OH
OL
40
50
60
70
80
90
100
Liquid limit
Figure 9-2_ Plasticity chart for group symbols of fine-grained
soils.
Detennine the following:
(1) F zoo
(2) Unifonnity coefficient, Cu = D601D1O (see Chapter 4)
(3) Coefficient of gradation, Cc = Ii'jO/(D60 x D IO )
(4) LL (of minus No. 40 sieve)
(5) PI (of minus No. 40 sieve)
(6) SF [based on Equations (9.3), (9.4), (9.5) and (9.6)]
Go to Table 9-5 to obtain group symbols and group names.
b. If R4 ,;; 0.5Rzoo , it is a sandy soil. These soils may have the following group
symbols:
SW
SP
SM
SC
SW-SM
SW-SC
SP-SM
SP-SC
SM-SC
60
Soil Mechanics Laboratory Manual
Table 9-3. Unified Classification of Fine·Grained Inorganic Soils
(Note: The group names are based on ASTM D-2487.)
LL < 50,
CL
PI> 7,
15'
and PI
ML
29
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