EN010
401 Engineering Mathematics III
|
Module
1 (12 hours)
Fourier
series: Dirichlet conditions – Fourier series with period 2 π
and 2l – Half range sine and cosine series – Harmonic Analysis – r.m.s Value.
Module
2 (12 hours)
Fourier
Transform : Statement
of Fourier integral theorem – Fourier transforms – derivative of transforms-
convolution theorem (no proof) – Parsevals identity.
Module
3 (12 hours)
Partial
differential equations
: Formation by eliminating arbitrary constants and arbitrary functions –
solution of Lagrange’s equation –
Charpits method –solution of Homogeneous partial differential equations with
constant coefficients.
Module
4 (12 hours)
Probability
distribution : Concept
of random variable , probability distribution – Bernoulli’s trial – Discrete
distribution – Binomial distribution – its mean and variance- fitting of
Binominal distribution – Poisson distribution as a limiting case of Binominal
distribution – its mean and variance – fitting of Poisson distribution –
continuous distribution- Uniform distribution – exponential distribution – its
mean and variance – Normal distribution – Standard normal curve- its properties.
Module
5 (12 hours)
Testing
of hypothesis : Populations
and Samples – Hypothesis – level of significance – type I and type II error –
Large samples tests – test of significance for single proportion, difference of
proportion, single mean, difference of mean – chi –square test for
variance- F test for equality of
variances for small samples.
References
1. Bali& Iyengar – A text books
of Engg. Mathematics – Laxmi Publications Ltd.
2. M.K. Venkataraman – Engg.
Mathematics vol II 3rd year part A & B – National Publishing Co.
3. I.N. Sneddon – Elements of
partial differential equations – Mc Graw Hill
4. B.V. Ramana – Higher Engg.
Mathematics – Mc Graw Hill
5. Richard A Johnson – Miller
Fread’s probability & Statistics for Engineers- Pearson/ PHI
6. T. Veerarajan – Engg. Mathematics
– Mc Graw Hill
7. G. Haribaskaran – Probability,
Queueing theory and reliability Engg. – Laxmi Publications
8. V. Sundarapandian - probability
,Statistics and Queueing theory – PHI
9. H.C.Taneja – Advanced Engg.
Mathematics Vol II – I.K.International
10. A.K.Mukhopadhyay-Mathematical Methods For Engineers and
Physicists-I.K.International
CE010 403: MECHANICS OF SOLIDS- II
Teaching scheme:
Credits: 4
2 hour lecture and 2 hour tutorial per week
Objectives:
• To
understand the basic strength and energy theorems of Structural Mechanics and
its applications
• To study deformations of bodies caused by
externally applied forces and the internal effects produced due to moving
loads.
.
Module
1 (12 hours)
Deflection
of determinate beams: Differential equation of the elastic curve- slope
&
deflection of beams by Double integration method (concept only)-Macaulay’s
method - Conjugate beam method
Deflection due to shear (concept only).
Module
2 (12 hours)
Energy
Theorems: Strain energy due to axial load( gradual, sudden & impact), bending, shear and
torsion-principle of super position- Betti’ s theorem -Maxwell’ s reciprocal theorem-principle of virtual
work(deformable bodies)-Castigliano’ s first theorem- deflection of statically
determinate beams & pin jointed
frames by strain energy, virtual work and unit load methods
Module
3 (12 hours)
Moving
loads and influence lines: effect of moving loads-influence lines for
reaction, shear force and bending moment for determinate beams
Absolute
maximum bending moment (basic concept only).
Module
4 (12 hours)
Arches:
Theoretical arch-Eddy’ s theorem- analysis of three hinged arches –support
reactions-normal thrust-radial shear
Cables
and suspension bridges: General cable theorem-analysis of cables under
concentrated
and uniformly distributed loads-anchor cables
Suspension
bridges with stiffening girders(basic
concepts only).
Module
5 (12 hours)
Theories
of Elastic Failure: Maximum principal stress theory-maximum shear stress
theory - maximum principal strain theory – Mohr’s theory. Principle of
stationary and minimum potential energy, Castigliano’s theorems (theory only)
Unsymmetrical
bending: Product of inertia-principal axes (basic concepts only)
References:
1.Devdas Menon, Structural Analysis, Vol.1, Narosa,
Chennai.
2. Bhavikatti S.S , Structural Analysis Vol. I, Vikas
Publishing House (P) Ltd.
3.
Reddy C.S., Basic Structural Analysis, Tata McGraw Hill Publishing Co.1996.
4. C.
K. Wang, Intermediate Structural Analysis, Tata McGraw Hill Education Private
Ltd.
5.
Smith J.C. Structural Analysis, Macmillian Pub.Co.1985.
6.
Rajesekharan &Sankarasubramanian,G., Computational Structural Mechanics,
Prentice Hall of India, 2001.
7.
Wang C.K.& Solomon C.G., Introductory Structural Analysis, McGraw
Hill.1968.
8.
Sadhu Sindh, Strength of Materials, Khanna Publishers, 1988.
9.
Seeli F.B.& Smith J.P., Advanced Mechanics of Materials, John Wiley
&Sons,
1993.
10.
Norris & Wilbur, Elementary Structural Analysis, McGraw Hill.
11.
Junarker S.R., Mechanics of Structures, Vol. II, Charorbar Book Stall.
12.
Timoshenko S.P, Young D.H., Theory of structures, McGraw Hill
13.
Thadani B.N, Desai J.P, Structural mechanics, Weinall Book Corporation.
14.
Punmia B.C., Strength of materials and theory of structures, Vol.II, Laxmi
publications.
CE010
404 OPEN CHANNEL FLOW AND HYDRAULIC
MACHINES
Teaching scheme:
Credits: 4
3 hour lecture and 1 hour tutorial per week
Objectives:
- The problems that man encountered in the field of water
supply, irrigation, navigation and water power resulted in the development
of fluid mechanics
- It enables us to understand the
interesting phenomenon in nature and it empowers us to design and to create
variety of fluid flow equipment
for the benefit of mankind
Module
1 (12 Hours)
Flow in open Channel – Types of flow, –
Velocity distribution in open channels, Uniform flow in open channels– Chezy’s
, Manning’s and Kutter’s formula, Most economical cross sections – computation
of uniform flow- conveyance - Normal depth. Energy in open channel flow-
specific energy. Momentum in open channel flow-specific force , Critical flow
and its computation-critical flow in rectangular channels Application of
specific energy and discharge diagrams to channel transitions,
Module
2 (12 Hours)
Measurent of flow in open channels-mean velocity-pitot tube,current meter,floats.
Discharge in
flumes and rivers
Gradually
varied flow- Dynamic
Equation for gradually varied flow- in wide rectangular channels-different
forms of the dynamic equation, channel bottom slopes-Study of surface profiles
and its Characteristics in prismatic channels, backwater computation by direct
step method.
Module
3 (10 Hours)
Rapidly varied flow, hydraulic jump –
initial and sequent depths, non-dimensional equation, Practical application of
hydraulic jump, Types of jump in horizontal floor, Basic characteristics of the
jump, Energy loss, efficiency, height of jump, jump as energy dissipater, stilling
basins, Location of hydraulic jump.
Module
4 (14 Hours)
Hydraulic Machines – Impulse momentum
principle, Impact of jet, Force of jet on stationary and moving plates –
Turbines
– Classification, velocity triangle for Pelton, Francis, Kaplan turbines,
Specific speed, selection of turbines, draft tube – types,
Module
5 (12 Hours)
Centrifugal Pumps – Types, Velocity triangle for
pumps-Work done- Head of pump, Losses and efficiency, Minimum starting speed,
Specific speed, Multistage pump, Pumps in parallel.
Positive displacement
pumps – working principle, types of reciprocating pumps, work done- effect
of acceleration and frictional resistance, slip and coefficient of discharge.
Indicator diagram, separation in suction and delivery pipes. Air vessel – rate
of flow into and from air vessel.
References
- Ven Te Chow, Open Channel Hydraulics, Mc Graw Hill Ltd.
- K.
Subrahmanya, Flow in open channel vol.1, Tata McGraw Hill,
- Dr. P. N. Modi & Dr. S. M. Seth, Hydraulics & Fluid Mechanics, Standard Book House, Delhi.
- Jagadheesh
Lal, Hydraulic Machines, Metropolitian Book Co.,
5. Dr.
R.K Bansal,A Text book of Fluid mechanics and Hydraulic
machines,Laxmi
Publications
6.
K.G Rangaraju, Flow through openchannel Tata Mc Graw Hill
7 . Shivkumar, “Fluid Mechanics& Fluid Machines Basic concepts&
Principles;
Ane Books Pvt. Ltd
CE010 405 SURVEYING
- II
Teaching Scheme
Credits : 4
3 hour lecture and 1hour tutorial
per week
Objective
To impart knowledge in triangulation, aerial
photogrammetry and modern Electro Magnetic Distance Measurement
instruments.
Module 1 (12 hours)
Triangulation: triangulation
figures – classification of triangulation systems – selection of triangulation
stations – intervisibility and heights of stations – station marks – signals
and towers – base line – choice – measurement of base lines –instrument-
extension of base- satellite stations – need, reduction to centre.
Module 2 (12 hours)
Theory of errors and triangulation
Adjustments: Kinds of error – laws of weights – principles of least squares –
determination of most probable value of quantities – probable error –
distribution of error to the field measurements – normal equation – Method of
correlatives – Adjustment of simple
triangulation figures.
Module 3 (10 hours)
Hydrographic surveying –Equipment – Methods of locating soundings – reduction and
plotting of soundings – use of sextants and station pointer.
Electro Magnetic Distance Measurement (EDM): - Principle of EDM –
Types of EDM instruments – Distomat – Total Station – principles – procedure
and surveying using Total Station – data retrieval and processing.
Module 4 (12 hours)
Terrestrial photogrammetry – General principles – photo theodolite – horizontal position of
a point from photogrammetric measurements – elevation of a point –
determination of focal length of lens.
Aerial photogrammetry – aerial camera – scale of vertical photograph –
relief displacement on a vertical photograph – principle of parallax –
stereoscopic pairs – flight planning – radial line method – flying height and
overlaps – remote sensing – concepts of remote sensing – ideal remote sensing
system.
Module 5 (14 hours)
Geodesy – shape of earth – effects of
curvature – spherical excess – convergence of meridians.
Field Astronomy: - Definitions – celestial sphere – astronomical
triangle - co-ordinate systems. Determination of time, azimuth, latitude and
longitude.
References:
1.
T. P. Kanetkar and
Kulkarni, Surveying and leveling Vol. II, A.V.G. Publications, Pune.
2.
B. C. Punmia, Surveying
and leveling Vol. II, Laxmi Publications (P) LTD, New Delhi.
3.
Thoms M. Lillerand,
Remote sensing and image interpretation, John Wiley & Sons, Inc. New York.
4.
Dr. K.R. Arora,
Surveying Vol. II, Standard Book House, New Delhi.
- Alak De, Plane Surveying, S.Chand
&Co.
6.
S. K. Duggal – Surveying
Vol I & II Tata Mc Graw Hill Ltd, 2006.
7.
R. Sathikumar, Satheesh
Gopi and N. Madhu, Advanced Surveying: Total Station, GIS and remote Sensing,
Pearson Education, India
CE010 406 CIVIL ENGINEERING DRAWING
Teaching
scheme Credit
-4
4 hours drawing per
week
Objectives:
To create awareness
among students regarding the principles of building drawing and equip them to
prepare plan , section, elevation , site
plan and service plan of buildings as
per Kerala Building Rules.
PART A
Detailed
drawing of panelled door with wooden
frame. (1 sheet).
Reinforced
concrete staircase (1 sheet).
Roof
truss using standard steel sections (1 sheet).
Roof
lines (1 sheet).
Detailing
of Mangalore pattern tiled roofing (1 Sheet).
PART B
Working
drawings – Preparation of plan, section
and elevation from line sketches (single and double storied buildings)(8
sheets).
Preparation
of line sketches and working drawings of
single storied RCC residential buildings, as per area and functional
requirements. ( 2 sheets)
Preparation
of site plan as per Kerala Building Rules.
(1sheet)
Plumbing
services-
Layout of
water supply and sanitary connections for residential buildings.(1 sheet)
Mark distribution
Part A - 30 marks.
Part B - 70 marks.
References:-
1.
Balagopal & T. S. Prabhu, Building drawing & detailing, Spades
Publishers and
distributors,
Calicut
2.
Shah & Kale, Building Drawing, Tata Mc Graw Hill, New Delhi
3.
B.P.Varma, Civil Engineering drawing and House Planning, Khanna Publishers,
4.
Gurucharan Singh, Subhash Chander Sharma, Civil Engineering drawing,
Standard
Publishers distributors, Delhi
5. National Building
CE010 407
SURVEYING PRACTICAL II
Teaching
Scheme
Credits: 2
3
hours practical per week
Objective
• To
give a practical knowledge in different aspects of Theodolite Surveying &
Tacheometry
List
of exercises
- Determination of tacheometric constants
- Heights and distances by stadia tacheometry(2classes)
- Heights and distances by tangential tacheometry(2classes)
- Three point problem.
- Setting out of simple curves - angular method
- Theodolite traversing
- Setting out of building plans
- Study of Total station
- Total station – Horizontal and vertical angles, Horizontal distance, Level difference.
References :
1.
Dr. B. C. Punmia, Surveying Vol. I & II, Laxmi Publications (P) LTD, New
Delhi.
2.
T.P. Kanetkar & Kulkarni, Surveying and leveling Vol. I&II
A.V.G.Publications,
Pune.
3.
Dr. K. R. Arora, Surveying Vol. I, Standard Book House New Delhi.
4.. S. K. Duggal , Surveying Vol I& II, Tata Mc Graw Hill.
CE010 408(ME) HYDRAULICS LABORATORY
Teaching scheme
Credits: 2
3
hours practical per week
Objectives
To
impart practical knowledge in heat engines and hydraulics laboratories
PART-A
(FLOW)
1. Study of
taps, valves, pipe fittings, gauges, pitot tubes, watermeters and current
meters.
2. Determination
of metacentric height and radius of gyration of floating bodies.
3. Hydraulic
coefficients of orifices and mouthpieces under constant head method and time of
emptying method.
4. Calibration
of venturimeter, orifice meter and watermeter.
5. Calibration
of rectangular and triangular notches.
6. Determination
of Darcy s and Chezy s constant for pipe flow.
7. Determination
of Chezy s constant and Mannings number for open channel flow.
8. Determination
of discharge coefficient for plug-sluices.
PART
–B (MACHINERY)
1. Study of
reciprocating pump and components-single cylinder and multicylinder, self
priming pumps and centrifugal pumps.
2. Study of
impulse and reaction turbines.
3. Performance
characteristics of self priming pump.
4. Performance
characteristics of centrifugal pump.
5. Performance
characteristics of reciprocating pump
6. Performance
characteristics of Pelton wheel.
7. Performance
characteristics of Francis Turbine.
8. Performance
characteristics of Kaplan Turbine.
References
1. Hydraulic Machines-Jagadishlal
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