lok nayak jai prakash institute of technology, chapra
TRANSCRIPT
LOK NAYAK JAI PRAKASH INSTITUTE
OF TECHNOLOGY, CHAPRA
COURSE FILE
OF
GEOTECHNICAL ENGINEERING I
(PCC-CE304)
Faculty Name:
ADITYA RAJ ASSISTANT PROFESSOR
DEPARTMENT OF CIVIL ENGINEERING
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
CONTENTS
1. Cover Page & Content
2. Vision of the Department
3. Mission of the department
4. PEOs and POs
5. Course objectives &course outcomes (COs)
6. Mapping of COs with POs
7. Course Syllabus and GATE Syllabus
8. Time table
9. Student list
10. Course Handout
11. Lecture Plan
12. Assignment sheets
13. Sessional Question Papers
14. Mid Term Question Paper Mapping
15. Old End Semester Exam (Final Exam) Question Papers
16. Question Bank
17. Power Point Presentations
18. Lecture Notes
19. Result and Analysis
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
Vision
To inculcate knowledge and impart excellence of global importance among our students of Civil
Engineering and Technology, preparing them to be ethically responsible models of the future
technology of our nation in its progress.
Mission
1. To create skilled civil engineers, with respect to technical and ethical aspects, to offer the
society and nation.
2. To strengthen the department a centre of excellence in the field of civil engineering and allied
research.
3. To provide comprehensive base and consultancy services to the society in all areas of civil
engineering.
4. To encourage innovative and novel thinking in the minds of prospective engineers to face the
provocation of future.
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
Civil Engineering Program Educational Objectives
Program educational objectives are the attributes of graduating civil engineer in the society are as
follows:
A B. Tech graduate (Civil Engineering) will be trained to
1. To analyze and design feasible civil engineering systems, which include the application of good
civil engineering skills, and satisfactory solution to the demands of society
2. To demonstrate professionalism and ethics, combining good communication skills with competent
personality traits.
3. To promote higher education and employ them in the process of lifelong learning to be
competitive and enterprising in their respective areas of interest.
Civil Engineering Program Specific Objectives
After completing B.Tech (Civil Engineering) , the student will be able to
PSO 1: Plan, design, construct and analyze, Civil Engineering projects of varying moderate
complexities.
PSO 2: Apply the knowledge in the subject creatively for life-long learning in the field of Civil
Engineering with a perspective to pursue higher studies including research in their respective areas of
interest.
PSO 3: Exhibit his/her technical excellence in professional and industrial areas
Course Description
The course has been designed to introduce the subject of soil mechanics and provide the basics
of geotechnical engineering to all civil engineering students. In this course, students will
understand the basics of soils through hands on experience in the soil laboratory. Some of the
important topics that students will learn during the course: soil structure and grain size;
identification and classification of soils for engineering purposes; physical and engineering
properties of soils; fundamental behavior of soils subjected to various forces; groundwater and
seepage through soils; compaction; consolidation.
Course Objective
To provide students with basic understanding of physical and mechanical properties of
soil, together with knowledge of basic engineering procedures to identify factors
controlling soil behavior and methods to determine soil properties. Students will acquire
basic knowledge in engineering design of geotechnical systems
Course Outcomes
1. Ability to understand the fundamental soil properties and to apply basic mathematics and
mechanics knowledge to derive different relationships.
2. Ability to understand and analyze the behavior of soil with different engineering
properties.
3. Investigation of the soil at site in group and analysis of result using computer.
4. Recognize and be able to apply fundamental soil mechanics principles and solve
geotechnical problems. A few specific examples here would be: (1) computing the time-
dependent settlement of a soil deposit after a given load is applied to it; (2) computing the
rate of groundwater seepage into a constructed excavation.
5. Present a technical concept both written and oral.
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
CO-PO MAPPING
GEOOTECHNICAL ENGINEERING I
Sr. No. Course Outcome (CO)
1. Ability to understand the fundamental soil properties and to apply basic mathematics
and mechanics knowledge to derive different relationships
2. Ability to understand and analyze the behavior of soil with different engineering
properties
3. Investigation of the soil at site in group and analysis of result using computer.
4. Recognize and be able to apply fundamental soil mechanics principles and solve
geotechnical problems. A few specific examples here would be: (1) computing the
time-dependent settlement of a soil deposit after a given load is applied to it; (2)
computing the rate of groundwater seepage into a constructed excavation;
5. Present a technical concept both written and oral.
Civil Engineering Department Program Specific Outcomes (PSOs)
PSO 1: Plan, design, construct and analyze Civil Engineering projects of varying moderate
complexities.
PSO 2: Apply the knowledge in the subject creatively for life-long learning in the field of Civil
Engineering with a perspective to pursue higher studies including research in their respective areas of
interest.
PSO 3: Exhibit his/her technical excellence in professional and industrial areas
Course Outcomes
PO1
PO2
PO3
PO4
PO5
PO6
PO7
PO8
PO9
PO10
PO11
PO12
PSO
1
PSO
2
PSO
3
CO1 3 2 - - - - - - - - - - - - -
CO2 3 3 3 1 - - - - - - - - - - -
CO3 1 - - 3 1 - 2 - - - - - - 2 1
CO4 3 3 3 2 - - - - - - - - 2 - -
CO5 - - - - - - - - 1 1 - - - - -
Mean 2.5 2.6 3 2 1 2 1 1 - 2 2 1
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
B. Tech. Vth Semester (Civil) CE 01 1509 Geotechnical Engineering I
L T P/D Total Max Marks: 100
3-0-2 / 4 Final Exam: 70 Marks
Sessional: 20 Marks
Internals: 10 Marks.
Module-I
Introduction–Types of soils, their formation and deposition, Definitions: soil mechanics, soil
engineering, rock mechanics, geotechnical engineering. Scope of soil engineering. Comparison and
difference between soil and rock. Basic Definitions and Relationships-Soil as three-phase system in
terms of weight, volume, voids ratio, and porosity. Definitions: moisture content, unit weights,
degree of saturation, voids ratio, porosity, specific gravity, mass specific gravity, etc. Relationship
between volume weight, voids ratio- moisture content, unit weight- percent air voids, saturation-
moisture content, moisture content- specific gravity etc. Determination of various parameters such
as: Moisture content by oven dry method, pycnometer, sand bath method, torsional balance
method,nuclear method, alcohol method and sensors. Specific gravity by density bottle method,
pycnometer method, measuring flask method. Unit weight by water displacement method,
submerged weight method, core-cutter method, sand-replacement method.
Module-II
Plasticity Characteristics of Soil - Introduction to definitions of: plasticity of soil, consistency limits-
liquid limit, plastic limit, shrinkage limit, plasticity, liquidity and consistency indices, flow &
toughness indices, definitions of activity and sensitivity. Determination of: liquid limit, plastic limit
and shrinkage limit. Use of consistency limits. Classification of Soils-Introduction of soil
classification: particle size classification, textural classification, unified soil classification system,
Indian standard soil classification system.
Module-III
Permeability of Soil - Darcy’s law, validity of Darcy’s law. Determination of coefficient of
permeability: Laboratory method: constant-head method, falling-head method. Field method:
pumping- in test, pumping- out test. Permeability aspects: permeability of stratified soils, factors
affecting permeability of soil. Seepage Analysis- Introduction, stream and potential functions,
characteristics of flow nets, graphical method to plot flow nets.
Module-IV
Effective Stress Principle - Introduction, effective stress principle, nature of effective stress, effect of
water table. Fluctuations of effective stress, effective stress in soils saturated by capillary action,
seepage pressure, quick sand condition.
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
Module- V
Compaction of Soil-Introduction, theory of compaction, laboratory determination of optimum
moisture content and maximum dry density. Compaction in field, compaction specifications and field
control.
Module- VI
Stresses in soils – Introduction, stresses due to point load, line load, strip load, uniformly loaded
circular area, rectangular loaded area. Influence factors, Isobars, Boussinesq’s equation, Newmark’s
Influence Chart. Contact pressure under rigid and flexible area, computation of displacements from
elastic theory.
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
GATE SYLLABUS
GEOTECHNICAL ENGINEERING I
Origin of soils, soil classification, three-phase system, fundamental definitions, relationship and
interrelationships, permeability &seepage, effective stress principle, consolidation, compaction
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
Department of Civil Engineering
TIME TABLE 5th Semester (CE)
Day/ time 10:00-10:50 10:50- 11:40 11:40-12:30 12:30-1:20 1:20-2:00 2:00-5:00 MON GEOE (AR) GEOE (AR) R GEOE (AR) Group B
TUE GEOE (AR) E
WED C GEOE (AR) Group B
THU E
FRI S
SAT S
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
Subject: Geotechnical Engineering I Semester: 5th Session: July- Dec 2020
Student List
S. No. Name Registration No.
1 SHASHIKANT KUMAR 18101117001
2 MANISH KUMAR 18101117002
3 RAJ KUMAR 18101117003
4 VIKASH KUMAR 18101117004
5 YUVRAJ KUMAR 18101117005
6 MD.SHAMS PARWEZ 18101117006
7 SUMIT KUMAR RAI 18101117007
8 AVINASH KUMAR 18101117008
9 RISHIKESH RANJAN 18101117009
10 SHEYASH 18101117010
11 AYUSH RAJ 18101117011
12 SUNIL KUMAR 18101117012
13 VIKASH KUMAR 18101117013
14 VIDYANAND VIDHYARTHI 18101117014
15 ATHARVA DEV 18101117015
16 PRINCE KUMAR 18101117016
17 MUKESH KUMAR 18101117017
18 SHUBHAM KUMAR 18101117018
19 MAYUR MAHESHWARI 18101117019
20 RAJNISH KUMAR 18101117020
21 AMRIT ANAND KUMAR 18101117021
22 ASHUTOSH KUMAR 18101117022
23 SHIVANSHU PATEL 18101117023
24 HIMANSHU KUMAR 18101117024
25 CHANDAN KUMAR 18101117025
26 ABHISHEK KUMAR 18101117026
27 SHANKY KUMAR 18101117027
28 PRIYANSHU PRIYA 18101117028
29 SHIVAM KR. GIRI 18101117029
30 SANOJ PASWAN 18101117030
31 RAVI PRAKASH 18101117031
32 SACHIN KUMAR 18101117032
33 ROHIT KUMAR 18101117033
34 PREM RAJ 18101117034
35 ROHIT RAJ 18101117035
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
36 CHANDRAMOHAN KR. 18101117036
37 KARAN KUMAR 18101117037
38 SATISH KUMAR 18101117038
39 ASHUTOSH GANESH 18101117039
40 AVINASH KR. CHAUDHARY 18101117040
41 VINAY KUMAR MISHRA 18101117041
42 MUKUL DEV 18101117042
43 HARISH KUMAR 18101117043
44 ABHISHEK KUMAR 18101117044
45 ASHUTOSH RANJAN 18101117045
46 NISAHA KR. BHARTI 18101117046
47 NISHIKA RAJ 18101117047
48 VIKASH KUMAR 18101117048
49 RAVI KUMAR 18101117049
50 BRAJESH KUMAR 18101117050
51 CHANDAN KUMAR 18101117051
52 ABDUL AHAD 18101117052
53 NEBHAY KUMAR 18101117053
54 KUNDAN SAH 18101117054
55 AVI SINGH 18101117055
56 BIBHUTI KUMAR 18101117056
57 HARENDRA KUMAR AZAD(YB) 18101117057
58 SATYAM KUMAR 19101117901
59 SHASHI SHEKHAR 19101117902
60 AMAN RAJ 19101117903
61 CHANDAN KUMAR 19101117904
62 SACHIN KUMAR MISHRA 19101117905
63 PRADYUMN KR BHARTI 19101117906
64 RAHUL KUMAR 19101117907
65 ANISH KUMAR 19101117908
66 NIRAJ KUMAR 19101117909
67 GULSHAN RAJ 19101117910
1. Scope and Objectives of the Course
The course has been designed to introduce the subject of soil mechanics and provide the basics
of geotechnical engineering to all civil engineering students. In this course, students will
understand the basics of soils through hands on experience in the soil laboratory. Some of the
important topics that students will learn during the course: soil structure and grain size;
identification and classification of soils for engineering purposes; physical and engineering
properties of soils; fundamental behavior of soils subjected to various forces; groundwater and
seepage through soils; compaction; consolidation. The objective of the course is to provide
students with basic understanding of physical and mechanical properties of soil, together with
knowledge of basic engineering procedures to identify factors controlling soil behavior and
methods to determine soil properties. Students will acquire basic knowledge in engineering
design of geotechnical systems.
The course outcomes are:
1. Ability to understand the fundamental soil properties and to apply basic mathematics and
mechanics knowledge to derive different relationships.
2. Ability to understand and analyze the behavior of soil with different engineering
properties.
3. Investigation of the soil at site in group and analysis of result using computer.
4. Recognize and be able to apply fundamental soil mechanics principles and solve
geotechnical problems. A few specific examples here would be: (1) computing the time-
dependent settlement of a soil deposit after a given load is applied to it; (2) computing the
rate of groundwater seepage into a constructed excavation.
5. Present a technical concept both written and oral.
2. Textbooks
TB1: Soil Mechanics and Foundation Engineering by K. R. Arora, Standard Pub. and Dist.,
Delhi
TB2: Basic and applied Soil Mechanics by Gopal Ranjan and A. S. R. Rao, Wiley Eastern Ltd.,
New Delhi.
TB3: Geotechnical Engineering by S. K. Gulati et. al., TMH Publication Co. Ltd., New Delhi
Institute / College Name : LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY
Program Name B.TECH CIVIL
Course Code PCC CE 304
Course Name GEOTECHNICAL ENGINEERING I
Lecture/Tutorial(per week): 3/0 Course Credits 4
Course Coordinator Name ADITYA RAJ
TB4: A Text Book of Soil Mechanics and Foundation Engineering by V.N.S. Murthy, Saikripa
Technical consultants, Bangalore.
3.Reference Books
RB1:Soil Mechanics in Engineering Practice by Terzaghi and Pech, John Wiley and Sons
IncNew York.
RB2:Soil Mechanics by Lamb and Whitman, Wiley Eastern Pvt. Ltd., New Delhi.
RB3:Fundamentals of Soil Mechanics by Taylor, John Wiley and Sons Inc New Delhi.
Other readings and relevant websites
S.No. Link of Journals, Magazines, websites and Research Papers
1. https://nptel.ac.in/courses/105103097/
Course Plan:
Lecture
Number
Date of
Lecture
Topics Web Links for
video lectures
Text Book
/
Reference
Book /
Other
reading
material
Page
numbers
of Text
Book(s)
1 Introduction to the subject,
syllabus, course outcomes,
Importance of Soil Mechanics
in the field of Civil
Engineering
https://www.youtube.com/watch?v=i--51DBtOGU&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=1
2 Origin of Soil: Definition of
soil, Soil Mechanics, Rock
Mechanics, Soil Engineering,
Geotechnical Engineering,
Scope of Soil Engineering,
https://www.youtube.com/watch?v=kGNlKoE8Nn8
TB1 1-10
Origin of soil, Residual soil,
Transported soil, Formation of
soil, Transportation of soil,
Major soil deposits of India,
Terminology of different types
of soil
3 Volumetric Relationships: 3-
phase diagram, 2-phase
diagram, void ratio, porosity,
degree of saturation, air
content, percentage air voids,
water content, Bulk mass
density, dry mass density,
saturated mass density,
submersed mass density, mass
density of solids, (unit weight),
specific gravity of solids, mass
specific gravity, absolute
specific gravity
https://www.youtube.com/watch?v=HumrDHJ-myU&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=3 https://www.youtube.com/watch?v=u9SQAw60qq8&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=5
TB 1 13-20
4 3 phase diagram in terms of
void ratio(also in terms of unit
weight), 3 phase diagram in
terms of porosity, Relationship
between void ratio and water
content, Expression of mass
density in terms of water
content (also in terms of unit
weight), Relationship between
dry mass density and
percentage air voids
https://www.youtube.com/watch?v=Evzbx6XFPUc&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=11
TB1 20-26
5 Tests for determination of
water content: oven dry
method, Pycnometer method,
sand bath method, alcohol
method, calcium carbide
method, radiation method,
Pycnometer method for
determination of specific
gravity, Determination of unit
weight: core cutter method,
sand replacement method,
https://www.youtube.com/watch?v=ZZ9qgQ9SbSM&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=12
TB1 26-36
water displacement method
6 Numerical based on volumetric
relationship
7 Index Properties of soil:
Engineering properties, index
properties, classification test,
Particle size analysis, sieve
analysis, dry and wet sieve
analysis, computation of
percentage finer, stoke’s law,
https://www.youtube.com/watch?v=KoM5EGCbuKI&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=18
TB1 45-49
8 Sedimentation analysis,
hydrometer method,
https://www.youtube.com/watch?v=U6qnDuZ0xn0&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=24
TB1 49-56
9 Relation between percentage
finer and hydrometer reading, TB1 49-56
10 Particle size distribution curve,
Shape of particles, Relative
density
TB1 57-62
11 Numerical based on index
properties
12 Plasticity characteristics of
soil: Plasticity of soils,
consistency limits, plastic
limit, liquid limit
https://www.youtube.com/watch?v=BHqMqBOSWzs&list=PLHKzkbxyS9dYJQ2kCbnIWmJPiyzToiiMW&index=29
TB1 69-74
13 Plasticity index, liquidity
index, consistency index, flow
index, toughness index,
sensitivity, thixotropy, activity
of soil, uses of consistency
limits,
https://www.youtube.com/watch?v=pM-w_cvk1nA
TB1 76-83
14 Shrinkage limit, Numerical
based on plasticity of soil,
https://www.youtube.com/watch?v=2Di
TB1 74-76
0JrFMm8g
15 Soil Classification TB1 98-101
16 Clay Mineralogy and soil
structure, Capillary Water
TB1 107-118,
120-122
Assignment I
17 Class Test I
18 Permeability of soils
Definition , hydraulic head,
Darcy’s Law, validity of
Darcy’s Law, Determination of
Coefficient of permeability:
constant head permeability
test, variable head permeability
test
https://www.youtube.com/watch?v=mfAj5zSWGzM
TB1 134-139
19 Seepage velocity, Factors
affecting permeability of soils,
Permeability of stratified soil
deposits: flow parallel to
planes of stratification and
flow normal to plane of
stratification
TB1 140-141,
143-145,
20 Pumping out tests, Dupit’s
assumptions, Wells, Steady
flow in a confined well, Steady
flow in unconfined well
TB1 146-147,
154-156
21 Numerical based on
permeability of soil
TB1
22 Effective Stress Principle
Definition, Effect of water
table fluctuations on effective
stress, Effective stress in a soil
mass under hydrostatic
conditions, Increase in
effective stress due to
surcharge
https://www.youtube.com/watch?v=jbo6HckLkJk
TB1 189-195
23 Effective stresses in soils
saturated by capillary action,
seepage pressure, Effective
stresses under steady seepage
conditions
TB1 195-198,
200-201
24 Quick sand condition, Piping,
Numerical based on effective
stresses
TB1 201-202,
204-206
25 Numerical based on effective
stresses
Assignment II
26 Class Test II
27 Compaction of soils:
Definition, difference between
compaction and consolidation,
standard proctor test, Modified
proctor test
TB1 357-361
28 Factors affecting compaction,
Relative compaction,
compaction control
TB1 362,
368-369
29 Numerical based on
compaction of soils
TB1
Assignment III
30 Class Test III
31 Vertical Stresses:
Vertical stresses due to
concentrated load,
Boussinesqinfluence
coefficient, isobar diagram
https://www.youtube.com/watch?v=gvXOBD3qPjQ
TB1 221-
222,225
32 Vertical stresses due to line
load, strip load, Vertical
stresses under circular area
TB1 227-234
33 Westergard’s solution,
Newmark’s chart
TB1 237, 243
34 Numerical based on vertical
stresses
35 Seepage Analysis:
Introduction, Laplace’s
equation, characteristics of
flow net,
https://www.youtube.com/watch?v=uGftucBW588
TB1 163-168
36 Flow net in earth dams with
and without filter
TB1 173-178
37 Flow net in earth dams with
and without filter
TB1 173-178
38 Uses of flow net, Numerical TB1 178-180
39 Numerical
Assignment IV
40 Class Test IV
Evaluation Scheme:
Component 1* Sessional Test (ST)* 20
Component 2 Assignment Evaluation 10
Component 3** End Term Examination** 70
Total 100
Course approved by:
Designation Name Signature
Course Coordinator Aditya Raj
H.O.D Vivek Kumar Tiwari
Principal Dr. SN Sharma
Date
Evaluation and Examination Blue Print:
Internal assessment is done through quiz tests, presentations, assignments and project work. Two sets
of question papers are asked from each faculty and out of these two, without the knowledge of faculty,
one question paper is chosen for the concerned examination. The components of evaluations alongwith
their weightage followed by the University is given below
Sessional Test 20%
Internals 10%
End term examination 70%
Page 1 of 3
LECTURE PLAN
Topics Lecture
Number
Date on
which the
Lecture was
taken Introduction to the subject, syllabus, course outcomes, Importance of Soil
Mechanics in the field of Civil Engineering 1
Origin of Soil: Definition of soil, Soil Mechanics, Rock Mechanics, Soil
Engineering, Geotechnical Engineering, Scope of Soil Engineering, Origin
of soil, Residual soil, Transported soil, Formation of soil, Transportation of
soil, Major soil deposits of India, Terminology of different types of soil
2
Volumetric Relationships: 3- phase diagram, 2-phase diagram, void ratio,
porosity, degree of saturation, air content, percentage air voids, water
content, Bulk mass density, dry mass density, saturated mass density,
submersed mass density, mass density of solids, (unit weight), specific
gravity of solids, mass specific gravity, absolute specific gravity
3
3 phase diagram in terms of void ratio(also in terms of unit weight), 3 phase
diagram in terms of porosity, Relationship between void ratio and water
content, Expression of mass density in terms of water content (also in terms
of unit weight), Relationship between dry mass density and percentage air
voids
4
Tests for determination of water content: oven dry method, Pycnometer
method, sand bath method, alcohol method, calcium carbide method,
radiation method,
Pycnometer method for determination of specific gravity, Determination of
unit weight: core cutter method, sand replacement method, water
displacement method
5
Numerical based on volumetric relationship 6
Index Properties of soil: Engineering properties, index properties,
classification test, Particle size analysis, sieve analysis, dry and wet sieve
analysis, computation of percentage finer, stoke’s law,
7
Sedimentation analysis, hydrometer method, 8
Institute / School Name : LOK NAYAK JAI PRAKASH INSTITUTE OF
TECHNOLOGY
Program Name B. Tech CIVIL
Course Code PCC CE304
Course Name GEOTECHNICAL ENGINEERING - I
Lecture / Tutorial (per
week):
3/0 Course Credits 4
Course Coordinator Name ADITYA RAJ
Page 2 of 3
Relation between percentage finer and hydrometer reading, 9
Particle size distribution curve, Shape of particles, Relative density 10
Numerical based on index properties 11
Plasticity characteristics of soil: Plasticity of soils, consistency limits,
plastic limit, liquid limit
12
Plasticity index, liquidity index, consistency index, flow index, toughness
index, sensitivity, thixotropy, activity of soil, uses of consistency limits,
13
Shrinkage limit, Numerical based on plasticity of soil, 14
Soil Classification 15
Clay Mineralogy and soil structure, Capillary Water 16
Class Test I 17
Permeability of soils
Definition , hydraulic head, Darcy’s Law, validity of Darcy’s Law,
Determination of Coefficient of permeability: constant head permeability
test, variable head permeability test
18
Seepage velocity, Factors affecting permeability of soils, Permeability of
stratified soil deposits: flow parallel to planes of stratification and flow
normal to plane of stratification
19
Pumping out tests, Dupit’s assumptions, Wells, Steady flow in a confined
well, Steady flow in unconfined well
20
Numerical based on permeability of soil 21
Effective Stress Principle
Definition, Effect of water table fluctuations on effective stress, Effective
stress in a soil mass under hydrostatic conditions, Increase in effective
stress due to surcharge
22
Effective stresses in soils saturated by capillary action, seepage pressure,
Effective stresses under steady seepage conditions
23
Quick sand condition, Piping, Numerical based on effective stresses 24
Numerical based on effective stresses 25
Class Test II 26
Compaction of soils:
Definition, difference between compaction and consolidation, standard
27
Page 3 of 3
proctor test, Modified proctor test
Factors affecting compaction, Relative compaction, compaction control 28
Numerical based on compaction of soils 29
Class Test III 30
Vertical Stresses:
Vertical stresses due to concentrated load, Boussinesq influence coefficient,
isobar diagram
31
Vertical stresses due to line load, strip load, Vertical stresses under circular
area
32
Westergard’s solution, Newmark’s chart 33
Numerical based on vertical stresses 34
Seepage Analysis:
Introduction, Laplace’s equation, characteristics of flow net,
35
Flow net in earth dams with and without filter 36
Flow net in earth dams with and without filter 37
Uses of flow net, Numerical 38
Soil Stabilization 39
Class Test IV 40
Govt. of Bihar
Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPRA
Department of Civil Engineering
Geotechnical Engineering I (PCC CE 304)
Assignment 1
1. Derive from fundamentals the relationship between dry unit weight of soil, specific
gravity of solids, water content and percentage air voids.
2. A sampling tube of 38 mm internal diameter was used to extract a sample of cohesive soil
from a test pit. The length of the extracted sample was 102 mm and it had a mass of 220
gm and water content of 18%. Compute the void ratio, saturated unit weight, submerged
unit weight, bulk unit weight.
3. Derive a relation between void ratio and porosity for-
i) Dry soil mass
ii) Fully saturated soil mass
4. A soil sample with porosity of 38% has degree of saturation of 50%. Taking G=2.67,
compute dry unit weight, saturated unit weight, submerged unit weight and bulk unit
weight.
5. What is the difference between rock and soil? How are soils formed and what are their
types?
6. A fully saturated clay sample has a mass of 130 gm and has a volume of 64 cm3. The clay
mass is found to be 105 gm after oven drying. Assuming that volume does not change
during drying , determine the following:
i) Specific gravity of soil solids
ii) Void ratio
iii) Porosity
iv) Dry density
7. Define water content, void ratio, degree of saturation and specific gravity.
8. A partially saturated sample from a borrow pit has a natural moisture content of 15 % and
bulk unit weight of 1.9 g/cc. The specific gravity of solids is 2.7. Determine the degree of
saturation and void ratio. What will be the unit weight of the sample on saturation?
9. List any five index properties of soils. Explain them.
10. The in situ bulk density of a sandy stratum is 1.9 gm/cc and it has a water content of 8%.
For determining the density index, dried sand from stratum was first filled loosely in a
300 cc mould and then vibrated to give maximum density. The loose dry weight in the
mould was 478 gm and the dense dry weight at maximum compaction was 572 gm.
Calculate the density index of the stratum. (Take G=2.70)
11. Define liquid limit, plastic limit, shrinkage limit, shrinkage ratio, liquidity index and
consistency index.
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12. The liquid limit and plastic limit of a soil are 50% and 25% respectively. When the soil
was dried from its state at liquid limit, the decrease in volume was 40% of the volume at
liquid limit. When it was dried from its state at plastic limit, the volume decrease was
20% of the volume of plastic limit. Determine the shrinkage limit and shrinkage ratio.
13. Explain the plasticity chart with neat sketches as per IS:1498(1970) and give the group
symbols of various regions in the chart.
14. With the usual notations, prove that:
Sr = w/[(yw/y)(1+w) – (1/G)]
15. The following results refer to liquid limit test:
No. of blows 33 23 18 11
Water content
41.5 49.5 51.5 55.6
The plastic limit is 23.5%. Determine the plasticity index and toughness index for the
soil.
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Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPRA
Department of Civil Engineering
Geotechnical Engineering I (PCC CE 304)
Assignment 2
1. What is a silica tetrahedron and an aluminum octahedron? How are silica sheet and
alumina sheet formed? Show their schematic representation.
2. What are building blocks of clay minerals? Explain the three common groups of clay
minerals.
3. Explain briefly the types of soil structure recognized in coarse grained soil deposits and
fine grained soil deposits.
4. What do you mean by soil structure? Briefly describe about single grained, honeycomb,
flocculent, and dispersed structure in soil.
5. State Darcy’s Law and define coefficient of permeability. What are different methods to
determine coefficient of permeability (K) in laboratory? Also derive the expression to
determine k. Discuss briefly their merits and demerits and special applications.
6. What are the main considerations while determining permeability of stratified soil
deposits? Establish the relation between average permeability for flow parallel and that
perpendicular to the bedding plane. Establish that the former is greater than the latter.
7. A falling head permeability test is to be conducted on a soil whose permeability is
estimated to be 3x10-7 cm/sec. What diameter of stand pipe would you use, if the head
had to drop from 27.5 cm to 20 cm, in 5 minutes? Assume cross section of specimen = 15
cm2 and its length = 0.5 cm.
8. State and explain the factors affecting permeability.
9. Describe the falling head method for determination of permeability K of a soil mass. If
during permeability test on soil sample with a falling head permeameter equal time
intervals are noted for drops of head from h1 to h2 and again from h2 to h3, find the
relationship between h1, h2 and h3.
10. In a falling head permeability test on a sample 12.2 cm high and 44.41 cm2 in cross-
sectional area, the water level in a stand pipe of 6.25 mm internal diameter dropped from
a height of 75 cm to 24.7 cm in 15 minutes. Find the coefficient of permeability.
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11. In a saturated soil stratum, water table exists at the surface. The effective stress in the
soil, at a depth of 2m is 20 KN/m3. If the water table rises by 0.50 m during floods, what
will be the change in the effective stress?
12. Explain effective stress in a partially saturated soil.
Govt. of Bihar
Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPRA
Department of Civil Engineering
Geotechnical Engineering I (PCC CE 304)
Assignment 3
1. A pumping out test was carried out at a level site, where 9m of clay overlies a stratum of
sand 1.5 m thick. The sand stratum is underlain by an impermeable rock stratum. When
steady state was reached the rate of flow was found to be 15 liters/second. The water
level in two observation wells located at radial distance of 6 m and 15 m from axis of
main well were 5 m and 4.5 m below the ground surface. Compute the coefficient of
permeability of sand stratum.
2. A soil profile consists of a surface layer of sand 3.5 m thick with unit weight of 16.5
KN/m3, intermediate layer of clayey sand 2.5m thick with unit weight of 19KN/m3 and
bottom layer of clay 3.5m thick with unit weight of 19.5 KN/m3. The water table is at the
top of intermediate layer. Draw the effective stress, pore pressure and total stress
diagrams for all the three layers.
3. At a subsoil consisting of 8m thick layer of dry sand (G=2.65, e=0.85, D10= 0.14 mm)
which is underlain by a 6m thick clay layer (G=2.75, w=22%), below which there exists a
thick layer of hard strata. Ground water table is located at a depth of 6 m below the
ground level. Calculate and plot the distribution of total, neutral and effective stresses up
to 14 m depth. Assume c=0.5 cm2.
4. An annular ring footing of external and internal radii of 8m and 4m respectively transmits
a pressure of 100 KN/m2. Compute the vertical stresses at depths 0.5 m, 1m, 2m and 4m
below the centre. Draw the stress distribution curve with depth.
5. A concentrated load of 800 KN acts at the ground surface. Compute the vertical stresses
at 8 m depth for the following conditions:
i) On the axis of the load
ii) 2.0 m away from the axis.
6. Explain the importance of Boussinesq’s equation in determining ultimate settlement of
clay layers due to construction of building.
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7. Derive an expression of vertical stress in a homogeneous soil under uniformly loaded
circular area by Boussinesq analysis.
8. What is the basis of the construction of the Newmark’s chart? How it is used?
9. Prove that the seepage force per unit volume is given by the product of hydraulic gradient
and unit weight of water.
10. A flow net has a total head of 5.0 m, causing flow. The potential drop in each field is 0.5
m. Calculate the hydraulic potential after 4 falls.
11. The discharge through a pervious soil is 216 cc/day. The flow net shows 5 flow channels
and equipotential drops. The head causing the flow is 2.0 m. Calculate the permeability
of soil.
12. What is quick sand phenomenon and in which type of soil, and under what condition may
this occur? Explain critical hydraulic gradient. Derive an expression for it.
13. What is a flow net? What are the properties of flow net? Also explain the uses of flow
net.
14. An earth dam is built on an impervious foundation with a horizontal filter at the base near
the toe. The coefficient of permeability in the horizontal and the vertical directions are
3x10-2 and 1x10-2 mm/s respectively. The full reservoir level is 25 m above the filter. A
flow net constructed from the transformed section of the dam consists of 4 flow channels
and 12 equipotential drops. Estimate the seepage loss per meter length of the dam.
15. What is mechanical stabilization? What are the factors that affect the mechanical stability
of a mixed soil?
16. Discuss the use of lime stabilization of soils. What are the chemical and physical changes
which take place in lime stabilization?
17. Write short notes on:
i) Geotextiles
ii) Soil cement stabilization
iii) Soil stabilization
iv) Lime stabilization
v) Chemical stabilization
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vi) Dewatering of ground soils
vii) Grouting technique for foundation improvement
viii) Sand drains
ix) Vibro floatation and stone columns
x) Sand compaction piles
xi) Newmark’s influence chart
xii) Protective filter
xiii) Specific surface
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LOK NAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY
CHAPRA, SARAN (BIHAR)-841302
1
Mid Semester Examination, 5th Semester, Civil Engineering
Soil Mechanics I
CEUG 01 1509
Full Marks: 20 Time Allotted : 2Hours
Instructions:
(i) All questions carry equal marks
(ii) There are six questions in this paper
(iii) Attempt four questions in all
(iv) Question No. 1 is compulsory
1. Choose the most suitable option:
(a) Void ratio is defined as the ratio of:
(i) volume of void to total volume (ii) volume of void to volume of solids
(iii) volume of solids to volume of void (iv) volume of solids to total volume
(b) Particle size limit for Stoke’s law is:
(i) 2.4µ to 0.2mm (ii) 2.4mm to 0.2cm
(iii) 6mm to 10mm (iv) 1cm to 5cm
(c) Casagrande’s apparatus is used to find out:
(i) plastic limit (ii) shrinkage limit
(iii) water content (iv) liquid limit
(d) The unit of time factor (Tv) is:
(i) cm2/sec (ii) sec
(iii) m3/sec (iv) It is unit less
(e) Uniformity coefficient(cu) is defined as:
(i) Cu= D60/D10 (ii) Cu= D60*D10
(iii) Cu= D10/D60 (iv) Cu= (D60*D10)/D30
GOVT. OF BIHAR
DEPARTMENT OF SCIENCE & TECHNOLOGY, PATNA
LOK NAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY
CHAPRA, SARAN (BIHAR)-841302
2
2. The mass of a moist soil is 20kg, and its volume is 0.011m3. After drying in an oven, the
mass reduces to 16.5kg. Determine the water content, the density of moist soil, the dry
density, void ratio, porosity and the degree of saturation. Take G=2.70
3. Define the following:
(i) Coefficient of consolidation
(ii) Compression index
(iii) Coefficient of compressibility
(iv) Coefficient of volume change
(v) Over Consolidation Ratio
4. What is Compaction and how is it different from consolidation? Explain O.M.C. and plot
a graph between O.M.C and Dry density.
5. Explain Stoke’s law with assumptions. Derive the relationship between velocity and size
of particle.
6. A stratum of clay is 2m thick and has an initial overburden pressure of 50 KN/m2 at its
middle. Determine the final settlement due to an increase in pressure of 40 KN/m2 at the
middle of the clay layer. The clay is over consolidated, with a preconsolidation pressure
of 75 KN/m2. The values of the coefficients of recompression and compression index are
0.05 and 0.25 respectively. Take initial void ratio as 1.40.
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
Mid-Semster Question Paper (July-Dec 2018)
Time : 90min CEUG 01 1509 Soil Mechanics I Full Marks:20
S.
No.
Answer the following questions: Marks CO’s
1 a. Void ratio is defined as the ratio of:
(i) volume of void to total volume
(ii) volume of void to volume of solids
(iii) volume of solids to volume of void
(iv) volume of solids to total volume
1 CO1
b. Particle size limit for Stoke’s law is:
(i) 2.4µ to 0.2mm
(ii) 2.4mm to 0.2cm
(iii) 6mm to 10mm
(iv) 1cm to 5cm
1 CO1
c. Casagrande’s apparatus is used to find out:
(i) plastic limit
(ii) shrinkage limit
(iii) water content
(iv) liquid limit
1 CO1
d. The unit of time factor (Tv) is:
(i) cm2/sec
(ii) sec
(iii) m3/sec
(iv) It is unit less
1 CO1
e. Uniformity coefficient(cu) is defined as:
(i) Cu= D60/D10
(ii) Cu= D60*D10
(iii) Cu= D10/D60
(iv) Cu= (D60*D10)/D30
1 CO1
2. The mass of a moist soil is 20kg, and its volume is 0.011m3.
After drying in an oven, the mass reduces to 16.5kg.
Determine the water content, the density of moist soil, the dry
density, void ratio, porosity and the degree of saturation.
Take G=2.70
5 CO4
3. Define the following:
(i) Coefficient of consolidation
(ii) Compression index
5 CO1
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(iii) Coefficient of compressibility
(iv) Coefficient of volume change
(v) Over Consolidation Ratio
4. What is Compaction and how is it different from
consolidation? Explain O.M.C. and plot a graph between
O.M.C and Dry density.
5 CO1
5. Explain Stoke’s law with assumptions. Derive the relationship
between velocity and size of particle. 5 CO1
6. A stratum of clay is 2m thick and has an initial overburden
pressure of 50 KN/m2 at its middle. Determine the final
settlement due to an increase in pressure of 40 KN/m2 at the
middle of the clay layer. The clay is over consolidated, with a
preconsolidation pressure of 75 KN/m2. The values of the
coefficients of recompression and compression index are 0.05
and 0.25 respectively. Take initial void ratio as 1.40.
5 CO4
Govt. of Bihar Department of Science and Technology
LOKNAYAK JAI PRAKASH INSTITUTE OF TECHNOLOGY, CHAPPRA
DEPARTMENT OF CIVIL ENGINEERING
Question Bank
1. A sample of fully saturated soil has a water content of 25% and a bulk unit weight of
20kN/m3. Determine the (i) dry unit weight (ii) void ratio (ii) specific gravity of the soil.
What would be the bulk unit weight of the soil if the soil is compacted for the same void ratio
but with a degree of saturation 90%.
2. A sample weighing 20kN/m3 and has water content of 20%. The specific gravity of soil
particles is 2.68. Determine void ratio and porosity. Derive the equation for calculating void
ratio, e in terms of w, G & γ
3. Explain the terms porosity, void ratio and degree of saturation? 1 m3 of wet soil weighs 20
kN. Its dry weight is 18 kN. Specific Gravity of solids is 2.67. Determine the water content,
porosity, void ratio and degree of saturation. Draw a Phase diagram.
4. A soil has a liquid limit and plastic limit of 47% and 33% respectively. If the volumetric
shrinkage at the liquid limit and plastic limit are 44% and 29%. Determine the shrinkage
limit.
5. An undisturbed sample of soil has a volume 100cm3 and mass 200g. on oven drying for 24
hours, the mass is reduced to 170g. If G= 2.68. Determine the (i) void ratio (ii) water content
and (iii) degree of saturation of soil.
6. A cylindrical specimen of cohesive soil 10cm dia and 20cm length is prepared in a mould. If
the wet weight is 2.25 kg and water content is 15%. Determine the dry unit weight and the
void ratio. If G=2.7 determine the degree of saturation of the sample.
7. The plastic limit of soil is 25% and its plasticity index is 8%. When the soil is dried from its
state at plastic limit, the volume change is 25% of its volume at plastic limit. Similarly the
corresponding volume change for the liquid limit to the dry state is 34% of its volume at
liquid limit. Determine the shrinkage limit and shrinkage ratio.
8. An undisturbed saturated specimen of clay has a volume of 18.9 cm3 and a mass of 30.2g. On
oven drying the mass reduces to 18 g. The volume of dry specimen as determined by
displacement of mercury is 9.9 cm2. Determine the shrinkage limit, volumetric shrinkage,
specific gravity, shrinkage ratio.
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9. The moisture content of an undisturbed sample of clay belonging to a volcanic region is
265% under 100% saturation. The specific gravity of the solids is 2.5. The dry unit weight is
21 kN/m3. Determine (i) the saturated unit weight, (ii) the submerged unit weight, and (iii)
void ratio.
10. A sample of soil compacted according to standard proctor test has a unit weight of
20.58kN/m3 at 100% compaction and at optimum water content of 14%. What is the dry unit
weight? What is the dry unit weight at zero air voids? If voids become filled with water what
would be the saturated unit weight? Assume G=2.7
11. The laboratory test on sample of soil gave the following results:
Natural moisture content =24%, liquid limit =62%, plastic limit =28%, percentage of
particles less than 2μ =23%. Determine (a) liquidity index (b) activity number (c) consistency
and nature of soil.
12. The natural moisture content of an excavated soil is 32%. Its liquid limit is 60% and plastic
limit is 27%. Determine the plasticity index of soil and comment about the nature of soil.
13. A sand sample of 35 cm2 cross sectional area and 20 cm long was tested in a constant head
permeameter. Under a head of 60 cm, the discharge was 120 ml in 6 min. The dry weight of
sand used for the test was 1 120 g, and Gs = 2.68. Determine (a) the hydraulic conductivity in
cm/sec, (b) the discharge velocity, and (c) the seepage velocity
14. In a falling head permeameter, the sample used is 20 cm long having a cross-sectional area of
24 cm2. Calculate the time required for a drop of head from 25 to 12 cm if the cross sectional
area of the stand pipe is 2 cm2. The sample of soil is made of three layers. The thickness of
the first layer from the top is 8 cm and has a value of k1 = 2 x 10-4 cm/sec, the second layer
of thickness 8 cm has k2 = 5 x 10-4 cm/sec and the bottom layer of thickness 4 cm has & k3
= 7 x 10-4 cm/sec. Assume that the flow is taking place perpendicular to the layers
15. In a falling head permeability test, head causing flow was initially 500 mm and it drops to 20
mm in 5 minutes. Calculate the time required for the head to fall to 250 mm.
16. The following details refer to a test to determine the permeability of the soil: Thickness of
specimen =25 mm; diameter of specimen= 75 mm; diameter of standing pipe=10 mm; initial
head at start=1000 mm; water level after 3hrs 20 minutes= 800 mm. Determine the
permeability of the soil. If voids ratio of the sample is 0.75, what is the permeability of the
same soil at a voids ratio of 0.9?
17. Determine the average coefficient of permeability in directions parallel and perpendicular to
the planes of a stratified deposit of soil consisting of 3 layers of total thickness 3 m. The top
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and bottom layers are 0.5 m and 0.8 m thick. The values of K for top, middle, and bottom
layers are 2×10-4 cm/s, 3×10-3 cm/s, 1×10-2 cm/s respectively.
18. The water table in a certain area is at a depth of 4m below the ground surface. To a depth of
12m the soil consists of very fine sand having an average void ratio of 0.65. Above the water
table the sand has an average degree of saturation of 50%. Calculate the effective pressure on
a horizontal plane at a depth 10m below the earth surface.
19. The water table in a deposit of sand 8m thick is at a depth of 3m below the surface. Above
the water table the sand is saturated with capillary water. The bulk density of sample is
19.62kN/m3. Calculate the effective pressure at 1m, 3m, 8m below the surface. Hence plot
the variation of total pressure, neutral pressure and effective pressure at the depth of 8m.
20. The hydraulic conductivity of a clayey soil is 3 x 10-7 cm/sec. The viscosity of water at 25oC
is 0.0911 x 10-4 g . sec/cm2. Calculate the absolute permeability of the soil.
21. During a compaction test, a soil attains a maximum dry density o6 18 kN/m3 at a water
content of 12%. Determine the degree of saturation and percent air voids at maximum dry
density. Also find the theoretical maximum dry density corresponding to zero air voids at
OMC. The specific gravity of soils 2.67.
22. The maximum dry density of a sample by the light compaction test is 1.78g/ml at an optimum
water content of 15%. Find the air voids and the degree of saturation. G =2.67 what would be
the corresponding value of dry density on the zero air void line at O.W.C.
23. A sample of soil compacted according to the standard Proctor test has a density of 2.06g/cm3
at 100% compaction and at an optimum water content of 14%. What is the dry unit weight?
What is the dry unit weight at zero air voids? If the voids become filled with water what
would be the saturated unit weight? Assume G=2.67.
24. A concentrated load of 200kN is applied at the ground surface. Determine the vertical stress
at a point P which is 6m directly below the load. Also calculate the vertical stress at a point R
which is at a depth 6m but at a horizontal distance of 5m from the axis of the load.
25. There is a line load of 120kN/m acting on the ground surface along y-axis. Determine the
vertical stress at a point P which has x and z co-ordinates as 2m and 3.5m respectively.
26. A soil sample 20 mm thick takes 20 minutes to reach 20% consolidation. Find the time taken
for a clay layer 6 m thick to reach 40% consolidation. Assuming double drainage in both the
cases.
27. A stratum of normally consolidated clay 7m thick is located at a depth 12m below ground
level. The natural moisture content of the clay is 43% and its liquid limit is 48%. The specific
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gravity of the solid particles is 2.76. The water table is at a depth of 5m below ground
surface. The soil is sand above the clay stratum. The submerged unit weight of the sand is
11kN/m3 and 18 kN/m3 above the water table. The average increase in pressure at the centre
of the clay stratum is 120kN/m3 due to the weight of the building that will be constructed on
the sand above the clay stratum. Estimate the expected settlement of the structure.
28. Saturated soil of 5 m thick lies above an impervious stratum and below a pervious stratum. It
has a compression index of 0.25 with k = 3.2×10-10 m/sec. Its void ratio at a stress of 147
kN/m2 is 1.9. Compute (i) The change in voids ratio due to increase of stress to 196 kN/m (ii)
Coefficient of volume compressibility (iii) Coefficient of consolidation (iv) Time required for
50% consolidation.
29. A soil has compression index of 0.28. At a stress of 120 kN/m2 the void ratio is 1.02.
Compute (i) void ratio if the stress on the soil is increased to 180 kN/m2 (ii) total settlement
of the stratum of 6 m thickness.
30. A 10m thick submerged clay layer which is drained at both the upper and lower boundaries is
subjected to a wide surface pressure of 50kN/m2. The water table is coincident with the top
of the clay layer at the ground surface. If the coefficient of consolidation of the clay is 1.16 x
10-2 cm2/sec Determine the pore pressure at the mid depth of the layer 50 days after the
surface pressure was applied. Consider the degree of consolidation= 0.23.
31. A layer of submerged soil 8m thick is drained at its upper surface but is underlain by
impermeable shale. The sol is subjected to a uniform vertical stress which is produced by the
construction of an extensive embankment on the ground surface. If the coefficient of
consolidation for the soil is 2 x 10-3 cm2/sec calculate the times when 50% and 90%
respectively of the final settlement will take place. Consider T50 =0.197
32. A laboratory sample of lay 2cm thick took 15min to attain 60% consolidation under a double
drainage condition. What will be the time required to attain the same degree of consolidation
for a clay layer 3cm thick under the foundation of a building for a similar loading and
drainage condition, What is the value of cv.
33. A stratum of normally consolidated clay of thickness 3m is drained on one side only. It has
the hydraulic conductivity of k= 5x 10-8 cm/s and a coefficient of volume compressibility
mv.
34. A 2.5cm thick sample of clay was taken from the field for predicting the time of settlement
for a proposed building which exerts pressure of 100kN/m2 over the clay stratum. The
sample was loaded to 100kN/m2 and proper drainage allowed from top to bottom. It was seen
that 50% of the total settlement occurred in 3minutes. Find the time required for 50% of the
total settlement of the building, if it is to be constructed on a 6m thick layer of clay which
extends from the ground surface and is underlain by sand.