**MATHEMATICS-III**

To facilitate the understanding of the principles and to cultivate the art of formulating physical

problems in the language of mathematics.

OBJECTIVES:

To introduce Fourier series analysis which is central to many applications in

engineering apart from its use in solving boundary value problems

To acquaint the student with Fourier transform techniques used in wide variety of

situations in which the functions used are not periodic

To introduce the effective mathematical tools for the solutions of partial differential

equations that model physical processes

To develop Z- transform techniques which will perform the same task for discrete time

systems as Laplace Transform, a valuable aid in analysis of continuous time systems

UNIT I FOURIER SERIES 9 + 3

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half-range Sine

and Cosine series – Complex form of Fourier series – Parseval’s identity – Harmonic Analysis.

UNIT II FOURIER TRANSFORM 9 + 3

Fourier integral theorem – Fourier transform pair-Sine and Cosine transforms – Properties –

Transform of elementary functions – Convolution theorem – Parseval’s identity.

UNIT III PARTIAL DIFFERENTIAL EQUATIONS 9 + 3

Formation – Solutions of first order equations – Standard types and Equations reducible to

standard types – Singular solutions – Lagrange’s Linear equation – Integral surface passing

through a given curve – Solution of linear equations of higher order with constant coefficients.

UNIT IV APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 9 + 3

Method of separation of Variables – Solutions of one dimensional wave equation and onedimensional

heat equation – Steady state solution of two-dimensional heat equation – Fourier

series solutions in Cartesian coordinates.

UNIT V Z – TRANSFORM AND DIFFERENCE EQUATIONS 9 + 3

Z-transform – Elementary properties – Inverse Z-transform – Convolution theorem – Initial and

Final value theorems – Formation of difference equation – Solution of difference equation

using Z-transform.

TOTAL: 60 PERIODS

**TEXT BOOKS:**

1. Grewal, B.S. “Higher Engineering Mathematics”, Khanna Publications (2007)

REFERENCES:

1. Glyn James, “Advanced Modern Engineering Mathematics, Pearson Education (2007)

2. Ramana, B.V. “Higher Engineering Mathematics” Tata McGraw Hill (2007).

3. Bali, N.P. and Manish Goyal, “A Text Book of Engineering 7th Edition (2007) Lakshmi

Publications (P) Limited, New Delhi.

**STRENGTH OF MATERIALS - I**

OBJECTIVE:

Enable the student to understand the behaviour of deformable structural elements, subjected

to different types of loadings

Enable the student to understand the behaviour of deformable structural elements, subjected

to different types of loadings

UNIT I STRESS, STRAIN AND DEFORMATION OF SOLIDS

Rigid and deformable bodies – Stability, strength and stiffness - Axial and Shear Stresses –

Deformation of simple and compound bars – Thermal stresses – Biaxial state of stress –

Elastic Constants - Stresses and deformation of thin cylindrical and spherical shells –

Stresses at a point – Stress tensor - Stresses on inclined planes – Principal stresses and

principal planes – Mohr’s circle of stress.

Deformation of simple and compound bars – Thermal stresses – Biaxial state of stress –

Elastic Constants - Stresses and deformation of thin cylindrical and spherical shells –

Stresses at a point – Stress tensor - Stresses on inclined planes – Principal stresses and

principal planes – Mohr’s circle of stress.

UNIT II ANALYSIS OF PLANE TRUSSES

Stability and equilibrium of plane frames – perfect frames - types of trusses – Analysis of

forces in truss members – Method of joints – Method of tension co-efficient – Method of

sections.

forces in truss members – Method of joints – Method of tension co-efficient – Method of

sections.

UNIT III BENDING OF BEAMS

Beams – types and transverse loading on beams – shear force and bending moment in

beams – Cantilever beams – Simply supported beams and over-hanging beams - Theory of

simple bending – bending stress distribution – Load carrying capacity – Proportioning of

sections – Leaf springs – Flitched beams – Shear stress distribution.

beams – Cantilever beams – Simply supported beams and over-hanging beams - Theory of

simple bending – bending stress distribution – Load carrying capacity – Proportioning of

sections – Leaf springs – Flitched beams – Shear stress distribution.

UNIT IV TORSION

Theory of simple torsion - Stresses and deformation in circular and hollow shafts – Stepped

shafts – Shafts fixed at both ends – Stresses and deflection in helical springs.

shafts – Shafts fixed at both ends – Stresses and deflection in helical springs.

UNIT V DEFLECTION OF BEAMS

Double Integration method – Macaulay’s method – Area moment method – Conjugate beam

method for computation of slopes and deflections in determinate beams.

TEXT BOOKS:

1. Egor. P.Popov “ Engineering Mechanics of Solids” Prentice Hall of India, New

Delhi 2001

2. Vazirani, N, Ratwani, M. “Analysis of Structures” Khanna Publishers, New Delhi

2001

3. Rajput, R.K “Strength of Materials”, S Chand & Company Ltd., New Delhi 2006

method for computation of slopes and deflections in determinate beams.

TEXT BOOKS:

1. Egor. P.Popov “ Engineering Mechanics of Solids” Prentice Hall of India, New

Delhi 2001

2. Vazirani, N, Ratwani, M. “Analysis of Structures” Khanna Publishers, New Delhi

2001

3. Rajput, R.K “Strength of Materials”, S Chand & Company Ltd., New Delhi 2006

REFERENCES:

1. Irwing H.Shames, James M.Pitarresi, “Introduction to Solid Mechanics”, Prentice Hall

of India, New Delhi, 2002

2. Roger T.Fenner, “ Mechanics of Solids”, ELBS, Oseny Mead, Oxford, 1990

3. Malhotra, D.R. Gupta, H.C., “The Strength of Materials”, Satya Prakashan (Tech. India

Publications), New Delhi, 1995.

4. Beer.F.P. & Johnston.E.R.“Mechanics of Materials”, Tata McGraw Hill, New Delhi

2004.

5. Elangovan.A., “Thinmavisaiyiyal” (Mechanics of Solids in Tamil), Anna

University,1995.

**FLUID MECHANICS**

OBJECTIVE:

The student is introduced to the mechanics of fluids through a thorough understanding of the

properties of the fluids, behaviour of fluids under static conditions. The dynamics of fluids is

introduced through the control volume approach which gives an integrated understanding of

the transport of mass, momentum and energy. 2. The applications of the conservation laws to

a) flow measurements b) flow through pipes (both laminar and turbulent) and c) forces on

vanes is studied.

The student is introduced to the mechanics of fluids through a thorough understanding of the

properties of the fluids, behaviour of fluids under static conditions. The dynamics of fluids is

introduced through the control volume approach which gives an integrated understanding of

the transport of mass, momentum and energy. 2. The applications of the conservation laws to

a) flow measurements b) flow through pipes (both laminar and turbulent) and c) forces on

vanes is studied.

UNIT I FLUIDS PROPERTIES AND FLUID STATICS 12

Scope of fluid mechanics - Definitions of a fluid - Methods of analysis - Dimensions and units -

viscosity, density, perfect gas, vapour pressure and surface tension - Basic equation of fluid

statics - Pressure measurements - Manometers. - Forces on plane and curved surfaces -

Buoyancy and floatation - Stability of floating bodies - Relative equilibrium.

UNIT II BASIC CONCEPTS OF FLUID FLOW 12

(a) Kinematics – Methods of describing fluid motion - Classification of flows - Streamline,

streak-line and path-lines - Stream function and velocity potentials - Flow nets; (b)

Dynamics - Dimensional Concepts of System and Control volume - Application of control

volume to continuity, energy and momentum - Euler’s equation of motion along a stream line -

Bernoulli’s equation - Applications to velocity and discharge measurements - Linear

momentum equation and moment-of-momentum equations and their applications.

UNIT III DIMENSIONAL ANALYSIS AND MODEL STUDIES 12

Fundamental dimensions - dimensional homogeneity - Rayleigh’s method and Buckingham

Pi-Theorem - Dimensionless parameters - Similitude and model studies. Distorted Models.

UNIT IV INCOMPRESSIBLE VISCOUS FLOW 12

Laminar flow between parallel plates, and pipes - Development of laminar and turbulent flows

in pipes - Reynolds experiment - Darcy-Weisbach equation - Moody diagram - Major and

minor losses of flow in pipes - Pipes in series and in parallel.

UNIT V BOUNDARY LAYERS 12

Definition of boundary layers - Displacement, momentum and energy thickness - Laminar and

turbulent boundary layers - Momentum integral equation - Separation of boundary layer. Drag

and Lift. Lift characteristics of airfoils. Induced drag. Polar Diagram.

TEXT BOOKS

1. Streeter, V.L. and Wylie, E. B., Fluid Mechanics. McGraw Hill, New York, 1983

2. John F.Douglas, Janusz M. Gasiorek and John A.Swaffield, PEARSON Education,

India, 2003

1. Streeter, V.L. and Wylie, E. B., Fluid Mechanics. McGraw Hill, New York, 1983

2. John F.Douglas, Janusz M. Gasiorek and John A.Swaffield, PEARSON Education,

India, 2003

REFERENCES

1. Fox W.R. and McDonald A.T., Introduction to Fluid Mechanics John-Wiley and Sons,

Singapore, 1995.

2. Modi P.N. and Seth S.M., Hydraulics and Fluid Mechanics. Standard Book House.

New Delhi, 2000.

3. Roberson J.A and Crowe C.T., Engineering Fluid Mechanics. Jaico Books Mumbai,

2000.

1. Fox W.R. and McDonald A.T., Introduction to Fluid Mechanics John-Wiley and Sons,

Singapore, 1995.

2. Modi P.N. and Seth S.M., Hydraulics and Fluid Mechanics. Standard Book House.

New Delhi, 2000.

3. Roberson J.A and Crowe C.T., Engineering Fluid Mechanics. Jaico Books Mumbai,

2000.

**SURVEYING - I**

OBJECTIVE:

The objective of this course is to introduce the principles of surveying, various methods and

applications to Civil Engineering projects.

The objective of this course is to introduce the principles of surveying, various methods and

applications to Civil Engineering projects.

UNIT I INTRODUCTION AND CHAIN SURVEYING 8

Definition - Principles - Classification - Field and office work – Precision and Accuracy -

Scales - Conventional signs - Survey instruments - Ranging and chaining - Reciprocal ranging

- Setting perpendiculars - well - conditioned triangles - Traversing - Plotting - Enlarging and

reducing figures.

UNIT II COMPASS SURVEYING AND PLANE TABLE SURVEYING 7

Prismatic compass - Surveyor’s compass - Bearing - Systems and conversions - Local

attraction - Magnetic declination - Dip - Traversing - Plotting - Adjustment of error - Plane table

instruments and accessories - Merits and demerits - Methods - Radiation - Intersection -

Resection - Traversing.

UNIT III LEVELLING 12

Level line - Horizontal line - Levels and Staves - Spirit level - Sensitiveness - Bench marks -

Temporary and permanent adjustments - Fly and check levelling - Booking - Reduction -

Curvature and refraction - Reciprocal levelling - Longitudinal and cross sections - Plotting -

Calculation of areas and volumes - Contouring - Methods - Characteristics and uses of

contours - Plotting - Earth work volume - Capacity of reservoirs.

UNIT IV THEODOLITE SURVEYING 8

Theodolite - Vernier and microptic - Description and uses - Temporary and permanent

adjustments of vernier transit - Horizontal angles - Vertical angles - Heights and distances -

Traversing - Closing error and distribution - Gale’s tables - Omitted measurements.

UNIT V SURVEY APPLICATIONS 10

Reconnaissance, preliminary and location surveys for engineering projects - Lay out - Setting

out works - Route Surveys for highways, railways and waterways - Curve ranging - Horizontal

and vertical curves - Simple curves - Setting with chain and tapes, tangential angles by

theodolite, double theodolite - Compound and reverse curves - Transition curves - Functions

and requirements - Setting out by offsets and angles - Vertical curves - Sight distances - Mine

Surveying - instruments - Tunnels - Correlation of under ground and surface surveys - Shafts -

Adits.

TOTAL: 45 PERIODS

TEXTBOOKS:

1. Bannister A. and Raymond S., Surveying, ELBS, Sixth Edition, 1992.

2. Heribert Kahmen and Wolfgang Faig, Surveying, Walter de Gruyter, 1995.

4. Kanetkar T.P., Surveying and Levelling, Vols. I and II, United Book Corporation, Pune,

2002.

5. Punmia B.C. Surveying, Vols. I II and III, Laxmi Publications, 2005.

REFERENCES:

1. Clark D., Plane and Geodetic Surveying, Vols. I and II, C.B.S. Publishers and Distributors,

Delhi, Sixth Edition, 1971.

2. James M.Anderson and Edward M.Mikhail, Introduction to Surveying, McGraw Hill Book

Company, 1985.

3. Schofield,W., Engineering Surveying, Butterworth –Heinemann, London, 5th Edition, 2001

1. Clark D., Plane and Geodetic Surveying, Vols. I and II, C.B.S. Publishers and Distributors,

Delhi, Sixth Edition, 1971.

2. James M.Anderson and Edward M.Mikhail, Introduction to Surveying, McGraw Hill Book

Company, 1985.

3. Schofield,W., Engineering Surveying, Butterworth –Heinemann, London, 5th Edition, 2001

**ENGINEERING GEOLOGY**

UNIT I PHYSICAL GEOLOGY

Geology in civil engineering – branches of geology – structure of earth and its composition –

weathering of rocks – landforms and processes associated with river, wind and sea –

relevance to civil engineering.

weathering of rocks – landforms and processes associated with river, wind and sea –

relevance to civil engineering.

UNIT II MINEROLOGY

Physical properties of minerals. Study of the following rock forming minerals – Quartz group,

Feldspar group, Pyroxene group, Amphibole and Mica group, Calcite Gypsum and Clay

minerals.

Feldspar group, Pyroxene group, Amphibole and Mica group, Calcite Gypsum and Clay

minerals.

UNIT III PETROLOGY

Classification of rocks, distinction between Igneous, Sedimentary and Metamorphic rocks.

Engineering properties of rocks. Description, occurrence, engineering properties, distribution

and uses of : Granite, Syenite, Diorite, Gabbro, Dolerite, Basalt, Sandstone, Limestone,

Laterite, Shale, Conglomerate, Breccia, Quartzite, Marble, Slate, Gneiss and Schist.

Engineering properties of rocks. Description, occurrence, engineering properties, distribution

and uses of : Granite, Syenite, Diorite, Gabbro, Dolerite, Basalt, Sandstone, Limestone,

Laterite, Shale, Conglomerate, Breccia, Quartzite, Marble, Slate, Gneiss and Schist.

UNIT IV STRUCTURAL GEOLOGY ANG GEOPHYSICAL METHODS

Geological maps – attitude of beds, study of structures - folds, faults and joints – relevance to

civil engineering. Plate tectonics – Earthquakes – seismic zones in India. Geophysical

methods – Seismic and electrical methods for subsurface investigations – prospecting for

groundwater.

civil engineering. Plate tectonics – Earthquakes – seismic zones in India. Geophysical

methods – Seismic and electrical methods for subsurface investigations – prospecting for

groundwater.

UNIT V GEOLOGICAL INVESTIGATION 9

Remote sensing for civil engineering applications; Geological conditions necessary for design

and construction of Dams and Reservoirs, Tunnels, Buildings and Road cuttings. Investigation

of Landslides, causes and mitigation.

TOTAL: 45 PERIODS

REFERENCE BOOKS

1. N. Chenna Kesavulu. Textbook of Engineering Geology, Macmillan India Ltd., 2007.

2. Venkat Reddy. Engineering Geology for Civil Engineers, D.Oxford & IBH, 1993.

3. Parbin Singh. A Text book of Engineering and general geology, Katson publishing

house, Ludhiana, 1993.

4. Blyth F.G.H and M. H de Freitas. Geology for Engineers, Edward Arnold, London,

1984.

5. F.G.Bell. Fundamentals of Engineering Geology, B.S Publications, Hyderabad., 2005,

ISBN 81-7800-098-9

**STRENGTH OF MATERIALS LABORATORY**

**OBJECTIVES:**

To study the properties of materials when subjected to different types of loading.

1. Tension test on mild steel / tor steel rod (Tensile strength-Density-Proof Stress- Stress

Strain Curve -Youngs Modulus-)

2. Compression test on wood

3. Double shear test on metal

4. Torsion test on mild steel rod

5. Impact test on metal specimen

6. Hardness test on metals

7. Deflection test on metal beam

8. Compression test on helical spring

9. Deflection test on carriage spring

10. Tests on bricks, concrete cubes and tiles - Demonstration only

TOTAL: 45 PERIODS

REFERENCE:

1. Relevant Indian Standards

**COMPUTER AIDED BUILDING DRAWING**

**OBJECTIVES:**

Building drawing in accordance with development and control rules satisfying orientation and

functional requirements for the following:

1. An approach to planning – Function – Utility – People and their requirements – Extract

from Building Rules and Bye- Laws’ – Planning of Residential and Public buildings.

2. Complete joinery Details (Paneled and Glazed Doors and Windows) & Codal Provisions.

3. Buildings with load bearing walls (R.C.C roof).

4. Buildings with sloping roof (R.C.C roof and Tiled roof).

5. R.C.C. framed structures.

6. Industrial buildings – North light roof structures – King Post Truss

TOTAL: 60 PERIODS

TEXT BOOKS:

1. Sikka V.B. “A Course in Civil Engineering Drawing” 4th Edition, S.K.Kataria and Sons, New

Delhi, 1998.

2. George Omura, “ Mastering in Autocad 2002”- BPB Publications, New Delhi, 2002

REFERENCES:

1. M.G.Shah, C.M.Kale and S.Y.Patki, “Building Drawing with an Integrated Approach to

Built Environment”,Tata McGraw Hill Publishers Limited ,New Delhi, 2004.

2. B.P.Verma, “Civil Engineering Drawing and House Planning”, Khanna Publishers, New

Delhi, 1989.

3. K.Venugopal, “Building Drawing”, Wiley Eastern Limited, Madras, 2004

4. Murugesan, Padmini Subbarayan, “Civil Engineering Drawing I”, Pratheeba Publishers,

Coimbatore,1984.

5. K.V.Nataraajan, “Engineering Drawing (BIS Specifications)”, Dhanalakshmi Publishers,

2002.

6. Relevant IS Codes.

**SURVEY PRACTICALS - I**

**OBJECTIVE:**

The objective of this course is to train the students to acquire skill in operation of various

survey instruments and to obtain accurate results.

1. CHAIN AND COMPASS SURVEYING

Ranging and Chaining – Offsets - Traversing.

2. PLANE TABLE SURVEYING

Radiation – Intersection – Resection – Traversing

3. LEVELLING

Study of levels and levelling staff - Fly levelling using Dumpy level and Tilting level – Check

Levelling.

4. THEODOLITE SURVEYING

Study of theodolites - Measurement of angles by reiteration and repetition - Measurement of

vertical angles.

TOTAL: 60 PERIODS