62
Scholars' Mine Scholars' Mine Masters Theses Student Theses and Dissertations 1967 A study of the compressibility of silty soils. A study of the compressibility of silty soils. Marvin L. Byington Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses Part of the Civil Engineering Commons Department: Department: Recommended Citation Recommended Citation Byington, Marvin L., "A study of the compressibility of silty soils." (1967). Masters Theses. 6807. https://scholarsmine.mst.edu/masters_theses/6807 This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected].

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Page 1: A study of the compressibility of silty soils

Scholars' Mine Scholars' Mine

Masters Theses Student Theses and Dissertations

1967

A study of the compressibility of silty soils. A study of the compressibility of silty soils.

Marvin L. Byington

Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses

Part of the Civil Engineering Commons

Department: Department:

Recommended Citation Recommended Citation Byington, Marvin L., "A study of the compressibility of silty soils." (1967). Masters Theses. 6807. https://scholarsmine.mst.edu/masters_theses/6807

This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected].

Page 2: A study of the compressibility of silty soils

A STUDY Or THE CO~~iPRESS I B I LI1Y OF SILTY SOILS

BY . ;)

MARVIN LfeY INGTON -1 &J -f'l

A

THESIS

submitted to the facu 11·y of the

UN IVERS ITY OF ~tl SSOUR I AT ROLLA

In partial fulfillment of the requirements fo: the

Degree of

~lASTER OF SCIENCE IN CIVIL ENGINEERING

Rolla, Missouri

1967

Approved by

~~--~~-(advisor) L._; ' /'/' / .·~~~~~

~~~~.d~.-

Page 3: A study of the compressibility of silty soils

ABSTRACT

This study has been conducted to determine the applicabi I ity

of the Terzaghi Theory of Consolidation and to determine the

compressibility of silt soi Is with varying clay content. A pure

silt was extracted from the Lebanon Si It Loam and mixed with

varying amounts of the Onyx Cave II I ite-Chlorite Clay. The

compressibi I ity of these mixtures was determined and an attempt

made to apply the Terzaghi Theory In the analysis,

It was found that the compressibility of soils high in silt

conter1t is very low. It was also found that the Terzaghi Theory

may be applied to mixtures of 15 percent or more clay, for the

materials used.

I i

Page 4: A study of the compressibility of silty soils

TABLE OF CONTENTS

Page

ABS l.R/\CT • ••••••••••••••••• I ••••• I •••••••••••••••• I • • • • • i i

LIST OF FIGURES •••••••••••••••••••••••••••••••••••••••• iv

ACKNO\'/l.EDGEr·1E NTS ••••••••• • •• · ••••••••••••••••• , •••• , • • • • v

Chapter I •

Chapter II.

Chapter Ill.

Chapter IV,

Chapter v.

I NTRO DUCT I ON ••••••• , •• , • , , , , •••••••••••••••

REV I EW OF ll TERATURE, •••••••••• , • , • • • • • • • • 3

MATERIALS AND TESTING •••••••••• , • • • • • • • • • 6

TEST I NG PROCEDURE, ••••• , •••• , • • • • • • • • • • • • • I 0

RESULTS•••••••••••••••••••••••••••••••••••• 13

Chapter VI. DISCUSSION OF RESULTS••••••••••••••••••••• 15

Che:pter VII , CONCLUSIONS. , • , •••• , •• , • • • • • • • • • • • • • • • • • • 22

Chap·i·er VIII, RECOMtv1ENDATIONS ••• ,. •• •• •••••••• ••••• ••• 24

8 I B L I OGRAPHY • ••••••••••• I ••••••••••••••••• I ••••••••• "' ••

v 1 TA • ••••••••••••••••••••• I ••••••••••••••••••••••••••••

APPEND I X. I ••••• I •••••••••• I •••••••• :1 ••••••••••••••••• I •

I •

2.

TABLES •••• I ••••• I ••••••• I •••• I •• I ••••••• I. I •••

CURVES • I •••••••••••••••••••••••••••••••• I ••• I •

25

27

28

28

29

i i

Page 5: A study of the compressibility of silty soils

tv

Ll ST OF FIGURES

Figure -··' -

Sedimentation Tank for Removing Clay from Sitt· ••••••••••••••••••••••••••••••••••••••••••• 8

2 Typical Dial Reading-Log 10 of Time Curve for Clay,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 16

3 Void r~atio-Log 10 of Pressure Curve •••••• ••••••• 29

4 Coefficient of Permeability-Log 10 of Pressure Curve •••••••••••••••••••••••••••••••••••••••••• 31

5 Coefficien+ of Consolidation-Log 10 of Pressure Curve, •••••••••• , •• , •••••••• , ••• , ••••••• ,., ••• , 33

6 Time to 20% Consolidation-Log 10 of Pressure Curve • ••• , • , , , • , , ••• , • , , •• , • , • , • , •• , • , , • • • • • • • • 34

7 Time to IOC% Consolidation-Log 10 of Pressure Curve.,.,,.,.,.,,., •• , .• , •••. ,, •. ,.,,, ....• ,.,. 35

8 Clay Content Percent of Dry Weight ••••••••••••• 36

9 Primary Comrresslon Ratio-Log 10 of Pressure Curve •• , ••••• ,,,,,,, •• ,,, •••••• , ••• ,,,,., •••• ,. 37

10 Dial Reading-LogiC of Time Curve ••••••••••••••• 38

II Slope of Secondary-LogiC of Pressure Curve ••••• 53

12 Grain Size Distribution Curves ••••••••••••••••• 56

TABLES

Table

Table of Compression Index Values •••••••••••••• 28

Page 6: A study of the compressibility of silty soils

ACKNOWLE03EMENT

The author wishes to express his sincere appreciation to

Dr. Thomas S. Fry for the advice and encouragement he has given.

The helpful criticisms and encouragement given by Professor

John B. Heagler are also appreciated. The author also wishes

to thank Howe II Branum, Da I e Sukow and Rohn Abbott, fe II ow

graduate students, for the help they have given in the laboratory

and the inspiring discussions they helped to provide.

The author sincerely appreciated the understanding and

encouragement given by his wife.

v

Page 7: A study of the compressibility of silty soils

Chapter I

INTRODUCTION

Soil mechanics has provided the foundations engineer with

an invaluable tool for the solution of practical problems. There

are theories and procedures in soil mechanics which aid in the

solution of problems involving clays and sands. Soils classified

as silt have been neglected as a subject of research and for

publication in the I iterature.

Soils which are classified as silt are lnterm~diate in grain

size between sand and clay. The limits of silt size are

approximately 0.06 mi II imeters for the upper I imit and 0.002 to

0.005 mil I imeters for the lower limit. The upper limit of si IT

size may be taken as passing a number 200 sieve (0.074 mill imoters)

for practical purposes. This definition is for a pure silt.

However, soils classified as silt are very rarely pure since

they usually contain varying amounts of sand or clay or both.

Silt mixed with varying amounts of other soi I constituents

exists in a wide spread area throughout the world. Rather extensive

deposits of loess cover the mid-we5tern portion of the United States.

While this material does not behave as a si It, it consists mainly

of si It sized particles and upon loss of its distinctive structure

it exhibits the properties of silt.

The alI uvial valleys and al !uvial fans in the United States

give rise to another important source of silt and silty soils.

Many of these areas are of 1 imited size, but they occur in great

numbers across the country.

Page 8: A study of the compressibility of silty soils

Because of the extensive occurrence of silt and silty sol Is

the foundations engineer frequently faces situations involving

them without adequate mechanics to lead io a well defined solution

of problems concerning bearing capacity and settlement.

It has been suggested by Peck, Hanson and Thornburn that

si It sho~ld be treated either as a sand or a clay depending on

whether it is cohesionless or cohesive.

This investigation is conducted to determine the appl icabi I ity

of the Terzaghi Theory of consol !dation to soils having a high

silt content.

2

Page 9: A study of the compressibility of silty soils

Chapter II

REVIEW OF LITERAlURE

An Increase in the effective stress in a soil will result

in a decrease in .the volume of the soi I voids. 1* Terzaghi states

that "every process involving a decrease of the water content

is called a process of consolidation". This observation and

an understanding of the principle of effective stress2 Jed

Terzaghi to the development of a theory of consolidation. This

theory provides a methematical expression for the rate of change

in volume of soil voids with an increase in stress on the soil.

The expression is based on the assumption that the time lag In

consolidation of a clay soil is due to the lnabll ity of th~

water to flow rapidly from the soil 3•

The consolidation process has been divided into initial,

primary and secondary phases4• This arbitrary separation has

been made in order to differentiate the primary portion from

the others, It is essential to define primary consolidation

because this is the only portion for which Terzaghi's Theory

appl ies4•

4 Lambe suggests that laboratory consolidation studies are

of value only for soils of low permeability. Lambe further

suggests the use of a ratio of primary compression to total

compression (primary compression ratio) as an indication of the

portion of the total consolidation considered by the Terzaghi

Theory. -------------1-~--~------~-----*Number designates the references I isted in the bib I iography

3

Page 10: A study of the compressibility of silty soils

4

The appl !cation of the Terzaghi equation to consol !dation

analysts is achieved by means of curve fitting techniques involving

plots of the rate of void volume decrease. The most usual forms

used are the dial reading-log of time plot presented by A, Casagrande 5

and the dial reading-square root of time plot as presented by D. W,

6 Taylor • The square root of time plot has the advantage of

decreasing the amount of time needed to conduct a consol !dation

test. The principle advantage of the log ot time plot is the

sharp definition which it gives to secondary compression. Secondary

compression is linear on a dial reading-log of time plot,

Lambe and Dawson7 outline methods for conducting a laboratory

consolidation test. Olson8 outlines the design criteria for

consolidation apparatus and suggests refi~ements to the testing

procedure, Leonards and Ramiah9 report on the effect that duration

of load increment and the load increment ratio have on the results

of consolidation tests.

Van Zelst10 discusses the effect of sample disturbance on

consolidation tests and concludes that the voiume of distrubed

soil relative to the total volume is of principal importance,

Published literature concerned with the Engineering Properties

and behavior of silt is very I imited, Several engineering geology

reports giving the classification and index properties of silts

encountered in Alaska have been publ !shed by the Iowa Engineering

13, 14,15 h th t re of great Experiment Station. Althoug e repor s a

interest from the view point of natural soil deposits, they

contribute 1 ittle to a knowledge of the engineering behavior of

s i Its.

Page 11: A study of the compressibility of silty soils

5

Schultze and Kotzias published a paper giving a stastical

16 survey of the compressibi I ity of Lower Rhine .atluvfal si It deposits,

This article is a very brief treatment giving average properties

taken from several hundred specimens of Lower Rhine silts. An

attempt is made to derive an emperical relationship for the

consolidation properties of these si It soils. The compressibi I tty

was found to be rather low with a permeability in order of

-8 10 em/sec, The grain size distribution curves given in this

paper indicate that the actual soils tested varied from 95% sand

to 35% clay with the remainder being si It, The Influence of the

clay and sand on the propert!es of the material tested was not

considered.

Bolognesi and Moretto 17 published a paper concerned with

the behavior and properties of silt derived from loess. This

article describes techniques used for evaluating the behavior of

an eroded and water deposited silt material. A void ratio-log

of pressure curve is shown which indicates a very low compress ibi llty

for s II ty so i I s,

Page 12: A study of the compressibility of silty soils

Chapter Ill

MATERIALS AND TESTING

In order to have a homogenous soi I of known or predetermined

grain size, it is necessary to extract each size fraction and then

remix using the desired proportions. The most abundant soil

having predominantly silt size particles and an obvious choice

was loess. Loess from near Jefferson City, Missouri was

6

obtained and the clay fraction was extracted by r·epeated sedimentation

and withdrawal of the fluid which held the clay particles in

suspension. The sedirnented materiel 'r'las passed through a

No. -200 sieve and the fraction passing was silt size material.

Loess is of -Eolian origin and as a result is naarly uniform in

grain size and the average particle diarneter of this loess fal Is

in the upper range of silt size and for this reason does not

filter clay well. The action of dilatency causes excess pore

water to flow out of the sample which can result in a change in

clay content if water flm'li:1g out of the soil carries a substantial

amount of clay. Even at rather high clay contents (20%) there

was en obvious loss of clay during the mixing of soil and water

on a glass plate.

Because of this change in clay content of the sample, a slIt

with a higher uniformity coefficient was obtained and used for

the testing program. This silt was obtained from the southeast

corner of the Tau Kappa Epsilon property, located North of Rolla,

Missouri. The source from which the slIt was obtained is from

the "A" horizon of the Lebanon S i 1 t Loam. This materia I is I i g:1t

Page 13: A study of the compressibility of silty soils

br·ownish gr·ay in color and resembles ashGs in appearance. It is

very loose and can be excavated easily by hand. This soil contains

an appreciable amount of coarse organic matter in the form of

sticks and roots. No traces of decaying leaves were present.

The clay used in this study was obtained from a water laid

deposit in Onyx cave at Boiling Springs, Missouri. This clay

occurs as a deposit of relatively pure red clay, stratified at

intervals of about one foot with silt and fine sand. The clay

was concentrated by sedimentation to remove the silt and sand.

This was accomplished by placing the clay in a weak solution of

calgon and stirring it until it stayed in suspension. The sand

and silt settled out rather rapidly, allowing the clay-water

suspension to be drawn off. The excess water was then evaporated

from the suspension by placing it in large pans open to the

atmosphere. The result was a soil containing predominantly clay

sized materia I •

The silt was obtained in a similar manner except that the

clay suspension was drawn off and discarded. In order to k~ep a

good control over the smallest particle size removed, the following

procedure was used. A 95 gallon stock watering tank was ultered

by placing In it a vertical riser pipe connected to drain. The

fl0w of water was controlled by a valve on the drain pipe. A

schematic of this device is shown in Figure I. A mark was placed

25 em, above the top of the riser pipe and the tank was fi I led to

this wark, A small quantity of calgon was edded to the solution

to keep the clay in suspension. The si It and clay mixture were

7

Page 14: A study of the compressibility of silty soils

8

-------- ----------------- --- - ~---·- ---

}!ark o~. ;:nk _)---·---··---····-------T-25cm

----------~~------~J --To Drain

~ock Watering

Pipe

Tank

Sedimentation Tank for Removing Clay from Silt

Figure 1

Page 15: A study of the compressibility of silty soils

mixed throughly both during fi II ing by water jets, and after

filling, with a paddle.

The temperature of the solution was then measured. Using

Stokes Lav; the time for a six micron part ic I e to fa II from the

surface to the top of the riser pipe, was computed. After this

amount of time h::Jd elapsed a soil hydrometer was placed in the

solution and read and then the valve on the drain pipe was opened.

The water in the tank was allowed to drain dmm to the level of

the riser pipe. This washing process was repeated until the

change in the hydrometer reading became negligible and the wash

water was clear at the end of the cycle.

The material that remained in the tank was then dried and

passed thr~ough a No. -200 sieve.

9

Page 16: A study of the compressibility of silty soils

Chapter IV

TESTING P~OCEOURE

The silt and clay mixtures were prepared for testing by

placing a measured quantity of dry clay In an evaporating dish

and adding a sufficient amount of disti lied water to submerge it.

After the clay had bean allm1ed to soak for about twelve hours a

measured quantity of dry silt was added to the slurry in small

increment5, adding water as necessary to allow the mixture to be

mixed 1-hroughly, After all of the silt had been added, the

mixture was occasionally stirred with a spatula and allowed to

dry in the laboratory atmosphere until a very viscous liquid

was obtained. A hand held soil dispersion mixer was then used

for final mixing. With this initial preparation the soil was

then ready to be used for test purposes,

Tests conducted in this work were liquid and plastic li.nits,

specific gravities, and consolidation tests. The grain size

distribution of each mixture \'Jas determined by a hydrometer analysis,

The tests all were conducted in the standard manner except

for a slight deviation from the st~ndard procedure for setting up

a consolidation test.

The consolidation tests were conducted in the following manner.

The consol idometer ring was placed on the base and the upper porcus

stone and silter paper were placed inside the ring. The vertical

dista!lce frOrrl the top surface of the porous stone to the top of

the ring was measured with a dial gage r~unted on a steel block,

The consolidometer ring was "'oighed and filled with soil at

10

Page 17: A study of the compressibility of silty soils

viscous liquid consistency. The ring was over filled by about

one ha If inch to a II ow for surface drying under the i nf 1 uence

of a vacuum.

The ring and contents were then placed under a bel I jar and

subjected to vacuum for about thirty minutes. During this period

of time the vacuum \'las released twice and allowed to build up

again, The purpose of this vacuum treatment was to remove as

much of the entrapped air as possible. After removal from the

vacuum the soil was trimmed on both ends of the ring. The top

was trirrmed slightly low intentionally. The ring and soil were

placed on a glass plate and weighed.

The ring was then placed in the consolidometer. The lower

stone had previously been saturated and fitted with a piece of

sl Iter paper. A special sealing ring cut from a piece of semi-rigid

plastic was placed on the top surface of the sample. The plastic

ring was about 0,075 inches in width and about 0.02-0.03 inches

In thickness and sl lghtly smaller in diameter than the internal

diameter of the consolidometer ring. The purpose of this ring

was to prevent extrusion of the sample under the influence of the

stresses developed by the lower load increments.

A sheet of filter paper, trimmed to the proper size, was

then placed over the top of the sample. After the filter paper

was placed the top porous stone was placed and centered. The

consol idometer was then completely assembled by installing the

gasket r t ng and reserv for ring. A reservi or of water was then

placed around the top stone.

II

Page 18: A study of the compressibility of silty soils

After· the consol idometer was completely assembled and

flooded, a series of loads were applied to the sample by placing

weights directly on the upper porous stone. This series of

weights consisted of 50, 100, 200, 400 and 500 grams. The amount

of volume change caused by each of these loads was measured by

means of an Ames dial having a sensitivity of 0.0001 inches.

Nearly alI of the consolidation of the sample was complete in

less than four hours after the application of each load increment.

After consolIdating the sample under a load of 500 grams

the r·eserv ior ring was rem:>ved. Using a d ia I gage mounted on a

stem, the vertical distance between the upper surface of the ring

and the upper surface of the porous stone v1as measured.

The consolidometer was then reassembled and placed in a

lever type consolidation loading frame. The remainder of the

test was conducted in a standard manner.

12

Page 19: A study of the compressibility of silty soils

Chapter V

RESULTS

The results of the dial reading-time observations are

summarized on Figures I OA to I 0. An observation of the curves

plotted in these figures indicates that the consolidation tests

performed can be divided into three groups. The first group

consists of tests on samples that had a sufficient clay content so

that 0 to 100 percent consofidation could be determined readily

by conventional procedures. The second or intermediate group

consists of tests for which only 100 percent consolidation could

be determined by routine methods. F ina II y, a third group can be

established for which neither 0 nor 100 percent consolidation

could be determined by conventional methods. The latter test

results are for mixtures containing low clay content.

The void ratio-log 10 of pressure curves are shown in

Figures 3A thru 3C. These curves relate the amount of void

ratio change per change in pressure. The three sets of curves

in this figure are arranged in the order of the respective groups

that they fit.

In Figure 8, a curve of co~pression index-percent clay is

shown. This curve related the amount of void ratio change per

Incremental change in pr·essure to the change in clay content.

Plots of the slope of secondary consolidation-log 1o of

pressure are shown on Figures IIA thru IIC. These curves

tndicat8 the effect of changing pressure and clay content on the

slope of the secondary portion of consolidation.

13

Page 20: A study of the compressibility of silty soils

Curves of the log 10 of time to 100 percent consolidation-log 10

of pressure are shown in Figure· 7. These curves relate the

effect cf clay content and changing pressure on the time required

to achieve 100 percent theoretical consolidation. Because data

for such a curve required that 100 percent consolidation be

defined this figure only includes the clay contents in the first

and second groups.

As the first group considered allows definition of both 0

and 100 percent consolidation these tests may be treated in a

rnor·e conventional manner. Curves of coefficient of permeabi I ity­

log10 of pressure are shown in Figure 4. These curves indicate

the ch.::Jnge in permeabi I ity with respect to change in clay content.

A curve of coefficient of consolidation (Cv) -logiO of

pressure is shovm on Figure 5. These curves relate the change

In rate of compression to the applied pressure.

A curve of primary compression ratio-log 10 of pressure is

shown on Figure 9. This curve relates the relative amount of

primary consol !dation to the applied stress and show the change

in amount of primary consolidation with change in clay content.

Curves of time to 20 percent consolidation-log 10 of pressure

are shown on Figure 6. These curves relate the change In time

necessary to achieve the earlier portion of primary consol idatior.

to the change in clay content and pressure.

Grain size distribution curve for the mixture used in this

study are shown on Figure 12.

A table of mixture properties is sh01'l'n on Figure 13.

14

Page 21: A study of the compressibility of silty soils

Chapter V!

DISCUSSION OF RESULTS

There are two parts to a consolidation analysis. The first

is a determinntion of t'he arrount of void ratio change under a

given pressure. The second involves the amount of time necessary

for this void ratio change to take place.

The first portion does not involve an elaborate theory. For

an un i d i mens i ona I con so I i dati on test 1 the measurements of samp I e

dimensions and change in height under load wi II provide the

information required. This information is summarized in the form

of a void ratio-log 10 of pressure curve.

The second part involves a time theory iequiring measurements

of the decrease in sample height with respect to time. Some

type of curve fitting is used to determine the time required for

con so I i dati on. In order to apply a curve fitting method, it is

necessary to generate a typ i ca I curve simi I ar to the one iII ustratC;d

in Figure 2. To develop this type curve two conditions must exist.

A sufficient amount of void ratio change must take place under a

given load increment and this void ratio change must takC; place

over a sufficient length of time so thnt it can be measured by

conventional means.

With silt-clay mixtures of the type used for this study no

difficulty was encountered in generating typical curves for clay

contents of fifteen percent or more. Lo'fter clay contents than this

anount lead to difficulty in producing v curve that could be

analyzed by the Terzaghi Theory. At a ten percent clay content the

15

Page 22: A study of the compressibility of silty soils

16

!>.. CIS r-l 0

H 0

Ct-1

.......... (J) (J) p. r-f F-i CIS ~ (.) 0 (/)

(J)

to s 0 •rl H E--i ........

G-1 {/) 0 (J)

+> 0

g rl bO

·rl 0 ::8 H

I ~ ~ orl s::

orl (J) 'd s CIS

orl (J)

E-t p:;

r-f c;j

..-i c:l

r. CIS (.)

..-i p.. !>..

E-t

Page 23: A study of the compressibility of silty soils

void ratio change was too smal I to define properly a typical curve.

In order to circumvent this difficulty the lead incrernent ratio

was increased to 1.5, Thts modification to the standard loading

procedure, a greater change in void r·atio per load increment, and

yielded a curve for which Terzaghi Theory was applicable, The

problem encountered with this procedure is that, with increasing

load, the total elapsed time for primary consolidation decreases.

This causes the dial reading-log of time curve to be shifted

horizontally to the I eft. This reslll ts in a sma Iter port ion of

the curve occurring in the region where dial readings can be

taken. The log of time at one hundred percent consol idation-log 10

of pressure curve, Figure 7, readily shows the decrease in time

required for primary consol idaiion with increase in pressure.

This time decrease probably is due to the increase in

hydraulic gradient that occurs when the load increment is increased.

The plot of coefficient of permeability of the specimen remains

nearly constant throughout the test, From the void ratio-lou 10

of pressure curves, Figures 3A, 38 and 3C, i1 can be seen that

approximately equal amounts of void change occur under each of

the higher loads.

Applying the above observations to Darcy's Law. O=k i a,

it is immediately apparent that the coefficient of permeabi I ity

and area are constant. When nearly equal quantities of water

are removed from the specimen for each load increment, and if a

shorter period of time is required fer this to occur, it becomes

apparent that a corresponding change in hydraulic gradient must

develop.

17

Page 24: A study of the compressibility of silty soils

For clay contents below ten percent neither the magnitude

of void ratio change nor the time elapse for 100% consol !dation

were sufficient for application of the Terzaghi Theory. The

dial reading-log of time curves produced for these tests have

so I ittle curvature that neither zero percent nor one hundred

percent consolidation could be distinguished.

The void ratio-log of pressure curves provide an important

means of comparing the void ratio changes due to various load

applications. These curves are shown on Figures 3A, 38, and 3C.

The two curves for pure silt are very flat indicating that si It

is only slightly compressible.

If it were possible to place the si 11' in the consolidation

ring at somewha1 higher void ratios, steeper curves would have

been obtained. The maximum initial void ratio Is I imited by the

testing procedure used. The disturb3nce that occurs during

trimming is sufficient to reduce appreciably the void ratio and

thus I imit the maximum possible condition. Van Zelst 10 found

that the disturbance of a clay specimen was proportional to the

ratio of the ring area to the sample volume. The disturbance of a

cohesive soil is in the form of remolding only and no volume

change takes place during this process. The disturbance due to

the shearing action of a trimming tool wil I produce a void ratio

change in a loose granular soil, which produces greater disturbances

than Van Zelst found.

The void ratio-log of pressure curve for five percent clay

shows a very small decrease in void ratlv u~ to a pressure of

2 ki lograrns per square centimeter. At greater pressures the

curve become steeper. This: phenomenon is a I so apparent in the

18

Page 25: A study of the compressibility of silty soils

two void ratio-log pressure curves for the ten percent clay

mixture. These curves have a shape typical of remolded soils,

however, the total void ratio change is smal I ~nd the slope of

the straight I ine portion, Cc, is very sma II, The void ratio-log

of pressure curves for the ten percent clay content samples are

steeper than the one for five percent clay. This occurs because

a greater total void ratio change takes place for the ten percent

mix-ture.

It is also noticable that +he ~NO void ratio-log of pressure

curves are approximately parallel above the two kilogram per square

centimeter load. This occurs in spite of the fact that test

number eight was conducted using a load increment ratio of 1,5,

For stresses less than two kilograms per square centimeter, the

curve for test number eight is steeper. The difference in slope

between the two curves, even the I ight loads, is not enough

to lead to a conclusion.

The void ratio-log of pressure curve for the fifteen percent

clay mixture indicates rather large changes in void ratio for

stresses in the one eighth to one quarter kilogram per square

centimeter range. The curve then flattens unti I It reaches the

two kilogram per square centimeter region and then beco~es more

steep. At stresses above 2 kg/cm2 the curve assumes the shape

of the curve for a typical cohesive soil having a low plasticity.

The void ratio-log of pressure curves for the two iv;enty

percent clay samples are nearly parallel. The curve for test

number two has a steeper initial portion than the other twenth

percent curve. This might have been caused by extrusion of sample

19

Page 26: A study of the compressibility of silty soils

from the ring during t~1e I ighter loads. Test number eight was

conducted using a sealing ring of the type described previously

and no extrus i or1 occurred.

The slope of the void ratio-log pressure curve is defined

as the compression index* Cc. This quantity is indicative of

the amount of compression that "'iII occur when there Is a stress

increase. A plot of average values of Cc- percent clay gives a

straight I ine, This straight line relationship might not be

true for materia Is other thE~n the ones used in this study.

The straight line relationship probably does not exist for

clay contents much greater than twenth f ivc percent. For a one

hGndred percent clay content the Cc value for this clay is several

times the values shmm for the range of clay content~ tested.

The coefficient of consolidation Cv is indicative of the

20

amount of time necessary to reach fifty pE!rcent theoretical (primary)

consolidation. There is an inverse relationship between Cv and the

time to fifty percent consolidation, thus a large Cv indicates

a small amount of time necessary to rench fifty perc€nt con~0l idation.

This curve A plot of Cv-loglp of pressure is shown on Figure 5.

is of the shape shown by Leonards and Ramiah 19 , which is for

tests performed on a "glacial silty clay". The clay Co!'ltent of

this soi 1 is given in tho paper as h1enth percent.

The family of curves in Figure 5, indicate that a decreasing

amount of time is necessary for consolidation to or;cur \\hen tho clay

content is decreased, At low values of pressure all of the curves

are fairly fla-t. As the pressJJre increases the curves for the soils

Page 27: A study of the compressibility of silty soils

with lower clay contents begin to turn upward. As the clay

contents are increased the pressure at which the curve turns up

also increases. This indicates that a load exists beyond which

the time to fifty percent consolidation begins to be reduced at

a substantial ra-te. It also indicates that this load is lo·.-~er for

lower percentages of clay.

21

Page 28: A study of the compressibility of silty soils

Chapter VII

CONCLUSIONS

The results of this study point to several conclusions,

some of them may be considered rather genera I while others may

apply only to the material used for this study.

The first, and most read i I y obvious cone I us ion is that the

compressibi I ity of sol Is high in si It content is very lm'l. This

is indicated by the relatively flat void ratio-log of pressure

curves generated in this study,

The compressibility of si tty soils, irrespective of structure,

Is directly proportional to clay content. This is another of the

rather obvious conclusions that are substantiated by the void

ratio-log of pressure curves. No statement can be made concerning

the effect of structure on the compressibility of silt soils because

this study was conducted using remolded soil sample which normally

does not exhibit the effects of structure.

It was found in this study that the Terzaghi Theory could

be appl led to soi 1 mixtures \'lith clay contents as low as 15 percent.

With clay contents of less than 15 percent the primary consolidation

occurred over too shor-t of a time i nte rva I to define 0 percent

consolidation.

For a clay content of 10 percent an increase in the load

increment ratio is effective in increasing the amount of time

required for primary consolidation to occur. This is true up to

the point where the incremental increase is so great that a

reduction in the elapsed time occurs.

22

Page 29: A study of the compressibility of silty soils

A r·eduction in the number of drainage faces or an increase

in the height of a sample of the pure silt used in this study

does not sufficiently decrease the elapsed time during primary

consolidation to allow the use of the Terzaghi Theory.

The above conclusions apply to the materials used in this

study. They may be aitered somO\'Ihat if a different material

is studied.

23

Page 30: A study of the compressibility of silty soils

Chapter V Ill

RECCJ.4MENDAT IONS

I. Conduct a similar study using natural clayey silts of varying

clay contents and equivalent silt sizes to determine the

effect of natural soil structure.

2. Conduct similar studies using different clays and silts to

determine the effect that clay mineralogy has on the behavior

of a clayey silt.

3. Develop a satisfactory method of determining the consistency

I i m its of s i It so i Is.

4. Develop a satisfactory method of placing a si It sol I in a

consol idometer ring in a loose state. This is necessary

to determine the maximum potential compr€ssibi llty of si It

and s II ty so i Is.

24

Page 31: A study of the compressibility of silty soils

8 I BL I OGRAPHY IN ORDEF~ OF-- NOTES

I, Terzaghi, Karl, !heoretical Soil Mechanics, J, Wi Icy and Sons Inc., New York, 1943,

2, Skcmpton, !\,\~.,"Significance of Terzaghi's Concep-t of Effective Stress", From Theory to Prc.1ctice in Soi I ~1echa_nic~, J. \~iley and Sons Inc,, ~Jew York, 1960,

3, Terzaghi, Karl and R.B. Peck, Soi I Mechanics in Ennincerinq Practice, J. VIi ley and Sons Inc., t~e.,., York, 19ih1. ..

4, Lambe, T.~v., ~oi I Testing for Engineers, J. \'ii ley and Scns Inc., New York, 19JI,

5, Casagrande, A., Unpublished Notes.

6. Taylor·, 0,\·J., Fundamentals of Soil r~,~chanics, J, \~iley a;:c Sons I nc~--NcwYor'k,-·n·a-a:-------

6. Olson, R., Unpubl ishod Notes.

9, Leon.::Jrds, G.A. and G.K. Rarniah, "Time Effects in the Conso I i dati on of C I ays", ASTI~ Spec. Tech, rub I. 2511.

10. Van Zclst, T,\'J,, "An Investigation of the Factors /dfecting laboratory Canso I i dati on of C I ays", Proceed i n~JS, 2nd International Conf. on Soi I Mechanics and Foundation EngincGring, Vol. VII, Rotterdam, 1948, p. 53.

II. ~J.eans, R.E. and J.V. Purcher, Ph.Y.,sical Properties of Soils, Charles E. Merri II Books Inc., Colunhus, Ohio, I<J(j:,,-

12. \'Ju, T.H., "Soil Hechanics", Allyn and Elacon Inc,, 1966,

13. ~J.ntt1.::ns, A.C., D.T. Davidson, R,L. Handy, C.J. Poy, "Trcffic­i ab i I i ty of A I askan S i Its", I ov:a Eno i ncer i neJ rx0er i ~·cnt Station, Gull. No. 186, Dec. 195'J,

14, Lindholm, G.E., L.A. Thomas, D.T. Dcvidson, P,L. Handy, C.J. Poy, "Silts Near Bib Delia and Fairbanks'', Iowa Erv:;iPeerinJ Experiment Station, Bull, No, 186, DGc, 1959.

15. Stump, RJ\'h, R.L. Handy, D.T. Davidson, C.J. Roy, L.A. ThoT.oS 1

"Si It Deposits in ~-~atanuska Valley", Iowa Engince:rin:; Experiment Station, Bull. No, 186, Dec, 1959.

16. Schultze, E. and A,G. Kotzias, "Geotechnical Prooerties of LOI'Ier Rhine Silt", Proceedin(,s, 5th lnternc;tional Congress on Soi I t.iechanics and Foundation Enginccrin;,

Pari s, 196 I •

25

Page 32: A study of the compressibility of silty soils

17. Bolognesi, A.J.L., and 0, ~retto, "Properties and Behavior of Silty Soi Is Originated from Loess", Proceedings, Fourth International Gonference on Soi I Mechanics and Foundation Engineering, Vol, I, London, 1957.

Zo

Page 33: A study of the compressibility of silty soils

VITA

Marvin Louis Byington was born December 10, 1941 in

St. Louis, Missouri. He received his primary education in

St. Louis County, Missouri. He has attended college at Southeast

Missouri State College in Cape Girardeau, ~1issouri; 1•/ashington

University in St. Louis, Missouri; and the University of Missouri

at Rolla in Rolla, ~1issouri. He received a Bachelor of Science

Degree in Civi I Engineering in May, 1965 from the University of

Missouri at Rol Ia.

He has been enrolled in the Graduate School of the

University of Missouri at Rolla since Septc~mber 196:i. From

September 1965 to March 1967 he held a Gredu3te Assistantship in

Civil Engineering.

The author was rna rr I ed in 1960, to the former Ca I ud i a

Gai I Ar·chibald of ~lebster Groves, Missouri.

At the present time, the author is employed by the Layne­

Western Company of Kirkwood, Missouri as a Soi Is Engineer.

27

Page 34: A study of the compressibility of silty soils

28

TABLE I

Table of Compression Index ·values

Test Percent Compression

Number Clay Index

2 20 o.oso

3 5 0.036

4 10 0,047

5 15 0,053

6 0 0,014

8 10 0.049

10 0

0,010

Page 35: A study of the compressibility of silty soils

0 ..-1 -!.)

Cil p:::

.70

.65

.60

~-55 0

::>

.so

.45

i I

(') ! '

\ I -I

!

ll ', i i

\. "'! i I

~ ~I ~ 'L1_ ~

""'' I~! i '"""•

I

0.1

I I

I I

--1'---.. -N ~ ~ f' t-1'-..

""' I

l~·-· ·,.'/

......... !'---

I 1'-

I I

I I

I I

I

I

l l ;

I I ; I I !

I i I ~ i

I I ! l ' I L__

I I

Legend

0 15% Clay Test 5 0 20% Clay Test 2

I I (:, 2o;la Clay Test 8

-( ~~ I ll f'-.. ~ h~ ~ -..............

t--... ~h Lf--_ ,

~I I'-!I ' I I l ~'- r--............ i

--r-I

. I !'"-. I u I !--..·;.. -,~ ,........_

r-.... ! '-..... ["<~ I

~~· ['-.. .........

""::.. !'--...._ ~ I i '-r--...... ~ I I I

~ ['--.._ ~ I

I >: '+" tb I

I I ·~ I

I t ! '

i I I ~ ! l . ' 1.0 10

Pressure, Kilograms per Square Centimeter (Log Scale)

Figure 3A Void Ratio-Log10 of Pressure Curve

, I

T 1- -'-r-

1-1--

--

r-

I

I

t 100

N \0

Page 36: A study of the compressibility of silty soils

.75 !

I i! I 1 I I I

! I r +--I I I

i . I •i I I i I

- I ~

i I I I ' :,

.70 ! i T - -L I Lec;end

I A---1 0 1 O% Clay Test 4 ~ lA I A 1076 Clay Test 8

:j

0 ....1 ...._:, ~

0::

.65

'd ...... 0 :> • 60

·55

.50

!

.,._

1----·

L-.-------

0.1

Figure JB

I

I

v I~ [7-.... r-, i-.. I p ~ ~ !'>

I -------

fA"- I

i--.. I ""' f>--~ r-.....___

~ ""- !-< )._ A

< "';::fJ f' ....... -- _l ______ ~

~A I£....> ..:~- .{_, '-' -v

I

i

I I --· ·- -- J l - --

1.0 10

Pressure, Kilograms per Square Centimeter (Log Scale)

Void Rat1o-Log10 of Pressure Curve

r- -J I I ..

I I I I I

I

i I ~r-

I ·i 100

V.l c

Page 37: A study of the compressibility of silty soils

0 ...... +> ~ rc •r-l 0

0.7.5

I

~

0.70

0.65

"-:} -

:> 0. 60

0.55

0.50 0.1

Figure JC

I

i

l

!

-

l --r- I

l - i -r--I I l ! I I

I I i_tffi i '

i i , I ! I

-- -·-

I Legend -i-1-

I

I 0 O% Clay Test 6 +- 1-

I 0 O% Clay Test 10 -r-1-

6-.. 6 5% Clay Test 3 -r-f-. I

-t- ·-L I J I : '

i j~ I'--

·=Wi f--

I : I -I , f--·t-- t- -+-}- 1-- -:'1.. I i I :

-~-- lcl,__~. :\-- I I : I ._/

o- ,L, =:: t---.:1 ;:::::--i- t--r--...?-t-1- i I I I . '1 --1-- I

v· t- , ...... \.-..... ~:t-1---::-~ -I I I

I I -= I

i I I

I i I I I I I I I I I

I I j I ! ! I ! !

I I I I ! I

J..O 10 100 Pressure, Kilograms per Square Centimeter (Log Scale)

Void Ratio-LoglO of Pressure Curve

VI

Page 38: A study of the compressibility of silty soils

50

'-0 I 0 ..-!

>< 40 C) ()..) tl)

............

Ns 0

~ 30 >:. ~ or! r-1 or! ..0 m ()..)

~ 20 ()..)

I=Y

~ 0

~ s:::: ()..)

oM 10 C) or! ~ (r. ()..)

0 u

0

I i

I I i

I I I I J ,,

-----.,-I I j I

I

I ! I I

! 1 I

'H-l I I -LL-4-I -·_ rt--r I

I 1 t-+ Legend I

-t-

A 1 0':~ Clay Test 9 I I I I 0 15% Clay Test 5

---~ -t-

I I I I I I I I I I I 0 20% Cl2.y Test 2 Q 20% Clay Test t1

~-

I i I I \ ---r----~----+---r-~-+-+-+-+----------+-----~---+---r--+-~,_~t----------+----~r---~--+--r~~-f-

1 \ I I I I I I

I I : I I I I II 1 I I I I I I II I I l I t I f-

1 I t··-r-- -t-t-

I I *~ -H-rL

-t-rr~-I I j___n_

,............-- i ____:[)-.,-_ I ! I LJ /f-~~LLI ___ IJ rh - -,--r~

I cL I ~j~JH4t~! I ~ I J ~- --Ebk.~. -, ~~:v--r i I l

I I

1

0.1 1.0 10 100 Pressure, Kilograms per square centimeter (Log Scale)

Figure 4 Cofficient of Permeability-Log10 of Pressure Curve

v.r N

Page 39: A study of the compressibility of silty soils

"' ' 0 ......

500

>< 400 0 (I)

Cll ...........

C\l s 0

:> C) 300 ~ 0

..-! -1-)

m "d ..-! rl 0 200 Cll ~ 0 0

G-. 0

-1-)

§ 100 orl 0

orl G-. G-. <l.l 0

I

r l

~

·-

I ! I I

I ' I i

I I

Legend

~10% Clay Test 9 015% Clay Test 5 0 20% Clay Test 2 ® 20% Clay Test 8

I

J

:1

/ J

1/

I

/ /

[t{ /

/ ! s !1--i--1-

I •i j;

I ij ,,

i ii I ..-. l I 7 iT

!!

I I I I Q I I I 11 I

I :/ J ' I !/

I/ I 'f

i/ Fl i I / I I

Vi I /-r-1/ J I

' ..-v I v / 7

;; cf ~ I ,/ / ~

..-rll" V/ / .~·1' v

r/ /' - v ..--~ _..--

---l:::::.="~~ 0 0 f'~- .. -;: ~--r-.. ,_.

-i';-· _.7,.==

1

0.1

Figure 5

1.0 10 Pressure. Kilograms per Square Centimeter (Log Scale) Coefficient of Consolidation-LoglO of Pressure Curve

I

I ;

I ;

'

I

I

----i ' I

I

I l !

-

·-

1- 1---!

_j

I

100

VI VJ

Page 40: A study of the compressibility of silty soils

til Q)

50

~ 40 g oM :8

s:! oM

~

0 30 oM ~ ct. 'd . .-; r--1 0 tJ)

s:! 8 20 '1:1~ 0 N

0 ~

m s 10 oM 8

0

1 11 1 1 1 1 1 1111 1 1 1 1 1 IIITU u 1 · · -rtTF~~ I ' I l I I I I I II I ! I I I : I I I I ' ! ! L-L~

\ . I I I I I I I I I I I ti I I

Leg 2nd \ \ I

\ ! 1 _L 1 ! \ I \I

r---.-~ I \ i \ \1 \ \,;

\ ~ \ i\ \ i b \I \ \ \

1\

I

1\ I

'\I f'...

___Q I"\:: I \ i~l ~ ~

1 I

'cl) "{,_

"' ~s:k 1 fi~tLJ_~r ~

i

I_

0 15% Clay ~ 20% Clay 0 20% Clay

1 r I t I ¥

I I

!I 'j

;: j_

·I ~

'i 'I

Test 5 Test 2 Test 8

r--~T-.- ___. __

I !

' _L

I I i

i I I 1 I I i 1 ~r ' I

I

I

i I I I I I

l

' LJ~--Jh 1-[ I l:t----'t----L __ cb rr-j I I I I 1!1 I I ! ! iii I I ! I -~-~ ' :JJ 7-':':--==:::r--=·'~.3~4-/>-l-: _,., ~ I I : I I I I !li't .. w ' ,I, ·----- ',______ . :,...-, -l--

0.1 1.0 10 100 Pressure, Kilograms per Square Centimeter (Log Scale)

Figure 6 ,-., • .L- 2 or</ c -, i -'J .L- • T :f p (' ~lme ~0 ·~ onso~ ~a~lon-Dog10 0 ressure vUrve

v ..::>

Page 41: A study of the compressibility of silty soils

1000

Q)

.-I cJ 0 100

G)

b') 0 .~

~ 0

orl

~ 10 'd or-i rl J [~ , ... ..... 0

0

0 .J-.)

<1>1.0 s oM [-i

Legend

A 10% Clay Test 4· 0 1 O% Clay Test 9 0 15ot, Clay TE:st 5 b. 20% Clay Test 2 0 20% Clay Test 8

....__ ____ .. ____ .. _____ -~.._.-L-.J.--J.......J...

0.1 1.0 10

Pressu:cc, Kilocrams per Square Centi:r:eter Log Scale

Log10 of Time to 100% Consolidation­Log1o of Pressure Curve

Figure 7

3J

40

Page 42: A study of the compressibility of silty soils

"' I 0 .-I

~

N a 0

........... M

~ M

0 0

X (])

'E H

s:: 0

..-1 tf.! tf) (])

F-l p. a 0

0

100

80

60 tf) Q.l ;::$ r-1

~ ....

~ 40 ttl H (])

~ <!l ........

20

0

----- -~ -- ----r--- -- T----------1-------- -----,-----1 I I •

-- -- -- -- -" - ___ ,_ -- -~-- - I

I I 1 ! I I

I

I

I i

! i i

-----;------T--

I

·--- -·-·---- ---- -------.----------- _j ·------'

0 5 10

36

---- __ _._ - ---- -. 1

0

I -l I

--I

I

·• ' I

i

i - -·- --,

Figure 8 Clay Content Percent of Dry Veight

Page 43: A study of the compressibility of silty soils

0 ..-1 +> m 0::

s:= 0

..-1 t:f.l U} (\)

H p. g 0

0

>.. H CIS s ..-1 H p..,

1.0

.9

.8

.?

.6

-5

r I I T ' J - I I I I I I . I I I • . 1 1 I r 1 1 ; 1 1 1 1 ' 1 I ~ · I il 1 1 I ,1 j 1

1· rr ""' . I I I I i ' I I . I I i I ! >

- I I ' I ' ~-L 1-H . I ; : I I -~ i ' -r--- i I I I I I I I ~- - I I I I ~ I I ~-<l I I I I I-;- I ~~e"". -~ ! '"1: 1--- " I . : I I ~"" "Q

\..') ' ' "' . --~ i I D 11'\d ~ . I '"-.T~~~-1 : 'v< Cl->•· ~ I I I !>- _ ..... y .,.,. ,.. 1.. Q -I • I . I o,cct~, ~ ~--c.v I

1

! . r "· c p ~ O•f m ~ I !/l\ J I I I ......... r---L ' i I I >- o ___ "'oct_, c-_-·~v .:. cs tC:. 1 ,-v 1

1 • '~ : 1 1 " • ., ' a •r cr.-" '· ' -~ i I \ "'- I -o.;_ ;-~ " 2 n c: • ·' • ·_- ,:::.. v .< _ _ ~ /r I -1\ 4~ --.. ~ .. "" cay re;c " +I

/ \ "i ~ T I T:l .._..(_ I . " ' ' . - . 1'\J I -,r I ~ , ' I , ' ,_

L- ' I 1"1 I' ~I I : : ~ 1':: ,... r= I r, -~--. it ......._ • ! ,__-, I ~' -r---'· 1- ' I ' '- ; I ' ,~·-~ ' "- I ~----~, "' y I '1o - -, I

~ "" '\ I ' I I i

- • -------- ' ;, I "-.. " I ~ I T I 7-S j

~ lu~ 1 1 )',_ i

._ I I r:::::: -~ I I -~- -L- . -+ i ~ ':'. i I ~ I + --, i -~-- I !

I I.L ~- . I 0 I I ! ! I I I ' J I ! l

.1 1.0 10 100 Prl':"ss•Jre, Kilograms per Square Centimeter (Log Scale)

Figure 9 Pr~~ary Compression Rat1o-Log10 of Pressure Curve

VI -...J

Page 44: A study of the compressibility of silty soils

38

N

0 z

00 t•l

-~ :> ~ ::) u [1-l

. c::::: 0

Page 45: A study of the compressibility of silty soils

-...;t I 0 ~

:< II)

(l)

-5 1:::

•,.{ -1:.0 c:

•.-I "0

t1l '-! P:":

....-< <"J ...... A

900

1000

1100

I,. '1:11 ~--~--1. l'i[l1 1j·~- I I i !i.!;J I . I ! ' _l . ' I .

I I I ' ' I I I I ! I I ; ' ' [1 I I I I I I i 1·. ' . _I:'. I I : I i 'I ! I I . : ' ! i I I r-<-~-- I . I

I. I Ill !il ! i I T li mill! -r-r-H-+-Pl-~JJJ I It I I I I it il I !I I I ' ,. I I II. II I' i ,. II I : [ ! i i i ! i :1 I i : :. i l I i ! ' ' l j ! ' I I . ! I ! ! : : I ! ~-LJ-l......L

i [li-f.-L:-- ! I I I i I ! l T I i I I .1 I ! ! I i ! i i ! · i i ! 1 1 1 I 1 II J r 1--r-IJ ~ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 : ' 1 1 i 1

I 1 I U ! _I J I I ! I I I ·t1'-- . I ! I 1 J i I I n I ! I I I . I : I I i I I I I ! 1 t

I l-l-i l ! I\ I I I 1--rlTnl----i'~-l--~LU I! ls-.o- ik.~}~~~~-l-lllL __ L]_ i ! l l i i,

I

--·----! 1500 L I

1200

1300

1400

I I I I ' I i I I I ' ! I I

A-,. I 'I' ' ' . I I I ·- ·~·----, - j ~--

i 1 I

I I I. ! ! 1

\ i i I I ; I I. ! I I l ! I • i : : I i I ; I I I i ' ! : I I I i : :')iII; ' I\ I' I Iii ,/r;Trl'-1'ill !

1 , , 1 ' 1 1·-~--;-.t-:_u_! r , 1 1 1 1 ~ _ 1 1 I I I I I ! I I I I :I I : i I I '

1 ~ 1 ' ! : 1 , : ' 1 : ; 1 1 1 1 1 nT: r- : I I ~- i ; i I I ! I. : I I I I I ! ! I : I i 1 I I' I I I ' I ' I ; 'I i J

l \ ' : uTI__ : 1 1 1 1 I !!i 1 : ; ' : ! : .i _ : 1 : \ ----r : 1 : -~ I 1 i 1 : 1 1 i 1 1 1 1 : : 1 1 ! i ! _/ ; ! 1 ! 1 : ! 1 ! 1 ' ' I ' ' ' I ' I I ' ' ' ' I I I I ' I ! I I I : I i i I i I i I II II : I I I :0 I I I I II I ! I ' I : I. I ' 1 I l _ l , I I , , 1 •

' ; I :I i : ' i I ! I I I i I I : i i i 'I. ' I I I I I I I I I I ! l . I I I - I I I I I '

' ' . I ' 'I ' I I t-t-l~ I I I :_L_ I ! : I I ! I : I ! ' ! · ! : 1 i : ! ! . : _:. ~ r

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Page 54: A study of the compressibility of silty soils

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Page 55: A study of the compressibility of silty soils

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Page 56: A study of the compressibility of silty soils

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Page 57: A study of the compressibility of silty soils

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Page 58: A study of the compressibility of silty soils

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