**ENGINEERING MATHEMATICS II**

**Unit I**

Fourier Series: Introduction of Fourier series , Fourier series for Discontinuous functions, Fourier series for even and odd function, Half range series Fourier Transform: Definition and properties of Fourier transform, Sine and Cosine transform.

**Unit II** Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary functions, properties of Laplace Transform, Change of scale property, second shifting property, Laplace transform of the derivative, Inverse Laplace transform & its properties, Convolution theorem, Applications of L.T. to solve the ordinary differential equations

**Unit III**

Second Order linear differential equation with variable coefficients : Methods one integral is known, removal of first derivative, changing of independent variable and variation of parameter, Solution by Series Method

**Unit IV**

Linear and Non Linear partial differential equation of first order: Formulation of partial differential equations, solution of equation by direct integration, Lagrange’s Linear equation, charpit’s method. Linear partial differential equation of second and higher order: Linear homogeneous and Non homogeneous partial diff. equation of nth order with constant coefficients. Separation of variable method for the solution of wave and heat equations

**Unit V**

Vector Calculus: Differentiation of vectors, scalar and vector point function, geometrical meaning of Gradient, unit normal vector and directional derivative, physical interpretation of divergence and Curl. Line integral, surface integral and volume integral, Green’s, Stoke’s and Gauss divergence theorem.

**References**

(i) Advanced Engineering Mathematics by Erwin Kreyszig, Wiley India

(ii) Higher Engineering Mathematics by BS Grewal, Khanna Publication

(iii) Advance Engineering Mathematics by D.G.Guffy

(iv) Mathematics for Engineers by S.Arumungam, SCITECH Publuication

(v) Engineering Mathematics by S S Sastri. P.H.I.

**Transportation Bridges and Tunnels**

**Unit I **

Introduction, Tractive resistances & Permanent way: Principles of Transportation, transportation by Roads, railways, Airways, Waterways, their importance and limitations, Route surveys and alignment, railway track, development and gauges, Hauling capacity and tractive effort. i) Rails: types, welding of rails, wear and tear of rails, rail creep. ii) Sleepers: types and comparison, requirement of a good sleeper, sleeper density. iii) Rail fastenings: types, Fish plates, fish bolts, spikes, bearing plates, chain keys, check and guard rails. iv) Ballast: Requirement of good ballast, various materials used as ballast, quantity of ballast, different methods of plate laying, material trains, calculation of materials required, relaying of track

**Unit II**

Geometric Design; Station & Yards; Points and Crossings & Signaling and interlocking: Formation, cross sections, Super elevation, Equilibrium, Cant and Cant deficiency, various curves, speed on curves. Types, locations, general equipments, layouts, marshalling yards, Definition, layout details, design of simple turnouts, Types of signals in stations and yards, principles of signaling and inter-locking.

**Unit-III**

Bridge Site Investigation and Planning; Loading Standards &Component parts: Selection of site, alignment, collection of bridge design data: essential surveys, hydraulic design, scour, depth of bridge foundation, Economical span, clearance, afflux, type of road & railway bridges. : Design loads and forces, Impact factor, Indian loading standards for Railways Bridges and Highway Bridges, Bridge super structure and sub-structures, abutments, piers, wing walls, return walls, approaches, floors & flooring system, choice of super structure.

**Unit-IV**

Bridge Foundations, Construction, Testing and Strengthening of Bridges : Different types of foundation: piles and wells, sinking of wells, coffer-dams. Choice of bridges and choice of materials, details of construction underwater and above water, sheet piles coffer dams, Erection of bridges, girders, equipments and plants. inspection and Data collection, strengthening of bridges, Bridge failure.

**Unit-V**

Tunnels: 1. Selection of route, Engineering surveys, alignment, shape and size of tunnel, bridge action, pressure relief phenomenon, Tunnel approaches, Shafts, pilot shafts 2, Construction of tunnels in soft soil, hard soil and rock, Different types of lining, methods of lining, Mucking operation, Drainage and ventilation, Examples of existing important tunnels in India and abroad.

**References**

1. Chakraborty and Das; Principles of transportation engineering; PHI

2. Rangwala SC; Railway Engineering; Charotar Publication House, Anand

3. Rangwala SC; Bridge Engineering; Charotar Publication House, Anand

4. Ponnuswamy; Bridge Engineering; TMH

5. Railway Engineering by Arora & Saxena – Dhanpat Rai & Sons

**Strength of Materials**

**Unit 1**

Simple Stress and Strains: Concept of Elastic body, stress and Strain, Hooke’s law, various types of stress and strains, Elastic constants, Stresses in compound bars, composite and tapering bars, Temperature stresses. Complex Stress and Strains: Two dimensional and three dimensional stress system. Normal and tangential stresses, Principal Planes, Principal Stresses and strains, Mohr’s circle of stresses, Combined Bending and Torsion, Theories of failure.

**Unit 2**

Bending & Deflection: Theory of simple bending: Concept of pure bending and bending stress, Equation of bending. Neutral axis, Section-Modulus, Determination of bending stresses in simply supported, Cantilever and Overhanging beams subjected to point load and uniformly distributed loading. Bending & shear stress distribution across a section in Beams. Deflection of beams: Double Integration Method. Conjugate Beam Method, Macaulay’s Method Area Moment Method.

**Unit 3**

Torsion of Shafts: Concept of pure torsion, Torsion equation, Determination of shear stress and angle of twist of shafts of circular section, Hollow shafts, Open and closed coil springs, Leaf Spring, Spiral Spring, Pressure Vessels: Thin and Thick walled cylinders and spheres. Stress due to internal pressure, Change in diameter and volume, Compound cylinders and shrink fittings.

**Unit 4**

Unsymmetrical Bending: Principal moment of Inertia, Product of Inertia, Bending of a beam in a plane which is not a plane of, symmetry. Shear center; Curved beams: Pure bending of curved beams of rectangular, circular and trapezoidal sections, Stress distribution and position of neutral axis.

**Unit 5**

Columns and Struts: Euler’s buckling load for uniform section, various end conditions, slenderness Ratio, Stress in columns, Rankine formulae, Eccentric loading on columns.

**Reference**

1. Nash; Strength of Materials (Schaum), TMH.

2. Rattan SS; strength of Materials; TMH

3. Negi; Strength of materials; TMH

4. Sadhu Singh; Strength of Materials, ,

5. Ramamrutham; Strength of Materials, ,

6. Subramaniam; Strength of Materials; R; Oxford

7. National Building Code of India, Part-IV

**Engineering Geology**

**Unit 1**

Introduction and Physical Geology: Objects and scope of geology. The crust and the interior of the earth, origin and age of the earth, Sub-aerial and sub-terrain weathering, denudation and deposition, wind, river, glacial and marine erosion, volcanoes , soil formation, soil profile, geological classification of soil and concept of earthquake Plate- tectonics.

**Unit 2**

Mineralogy and Crystallography: Fundamentals of mineralogy, study of common rock forming minerals, ores and minerals of economic importance to civil engineering., elements of crystallography and introduction to crystal systems.

**Unit 3**

(1) Petrology: Composition of earth’s crust, study of igneous, sedimentary and metamorphic rocks and their formation, characteristics classification, Rocks of civil engineering importance. (2) Geology of India: Physical features of India, Brief geological history of India, occurrence of important ores and minerals in India.

**Unit 4**

Structural Geology: Structures related to rocks, Dip, Strike and outcrops, Classification and detailed studies of geological structures i.e. folds, Faults, Joints, Unconformity and their importance in Civil Engineering.

**Unit 5**

Applied Geology: Introduction to applied geology and its use in civil engg., properties of rocks, selection of sites for roads, bridges, dams, reservoirs and tunnels. Prevention of engineering structures from seismic shocks, stability of hill sides, water bearing strata, artesian wells, Use of remote-sensing techniques in selection of above sites.

**Reference:**

1. Prabin Singh – “Engineering and General Geology”

2. Gulati ; Geotechnical Engineering; TMH

3. P.K. Mukerjee – “ A text Book of Geology”

4. S.K. Garg – “ A text Book of Physical and Engineering Geology”

**List of Experiment **

1. Identification of simple rock forming minerals and important ores.

2. Identification of rock

3. Simple map Exercises.

4. Field Visit / Geological Excursion

**Building Design & Drawing**

**Unit 1**

Drawing of Building Elements – Drawing of various elements of buildings like various types of footing, open foundation, raft, grillage, pile and well foundation, Drawing of frames of doors, window, various types of door, window and ventilator, lintels and arches, stairs and staircase, trusses, flooring, roofs etc.

**Unit 2**

Building Planning – Provisions of National Building Code, Building bye-laws, open area, set backs, FAR terminology, principle of architectural composition (i.e. unity, contrast, etc.), principles of planning, orientation.

**Unit 3**

Building Services – Introduction of Building Services like water supply and drainage, electrification, ventilation and lightening and staircases, fire safety, thermal insulation, acoustics of buildings.

**Unit 4**

Design and Drawing of Building – Design and preparation of detailed drawings of various types of buildings like residential building, institutional buildings and commercial buildings, detailing of doors, windows, ventilators and staircases etc.

**Unit 5**

Perspective Drawing – Elements of perspective drawing involving simple problems, one point and two point perspectives, energy efficient buildings.

**References**

1. Malik & Meo; Building Design and Drawing By

2. Shah, Kale & Patki; Building Design and Drawing; TMH

3. Gurucharan Singh & Jgdish Singh Building Planning, Design and Scheduling

**List of Experiments **

1. Sketches of various building components.

2. One drawing sheet of various building components containing doors, windows ventilators, lintels and arches stairs foundations etc.

3. One drawing sheet each for services and interiors of buildings.

4. One drawing sheet containing detailed planning of one/two bed room residential building

5. One drawing sheet each of residential and institutional building (Each student perform different drawing).

6. Use of AutoCAD for preparation of drawings.

**Computer Programming**

**UNIT-I**

Basic Java Features – C++ Vs JAVA, JAVA virtual machine, Constant & Variables, Data Types, Class, Methods, Objects, Strings and Arrays, Type Casting, Operators, Precedence relations, Control Statements, Exception Handling, File and Streams, Visibility, Constructors, Operator and Methods Overloading, Static Members, Inheritance: Polymorphism, Abstract methods and Classes

**UNIT–II**

Java Collective Frame Work – Data Structures: Introduction, Type-Wrapper Classes for Primitive Types, Dynamic Memory Allocation, Linked List, Stack, Queues, Trees, Generics: Introduction, Overloading Generic Methods, Generic Classes, Collections: Interface Collection and Class Collections, Lists, Array List and Iterator, Linked List, Vector. Collections Algorithms: Algorithm sorts, Algorithm shuffle, Algorithms reverse, fill, copy, max and min Algorithm binary Search, Algorithms add All, Stack Class of Package java. Util, Class Priority Queue and Interface Queue, Maps, Properties Class, Un-modifiable Collections.

**UNIT–III**

Advance Java Features – Multithreading: Thread States, Priorities and Thread Scheduling, Life Cycle of a Thread, Thread Synchronization, Creating and Executing Threads, Multithreading with GUI, Monitors and Monitor Locks. Networking: Manipulating URLs, Reading a file on a Web Server, Socket programming, Security and the Network, RMI, Networking, Accessing Databases with JDBC: Relational Database, SQL, MySQL, Oracle

**UNIT–IV**

Advance Java Technologies – Servlets: Overview and Architecture, Setting Up the Apache Tomcat Server, Handling HTTP get Requests, Deploying a web Application, Multitier Applications, Using JDBC from a Servlet, Java Server Pages (JSP): Overview, First JSP Example, Implicit Objects, Scripting, Standard Actions, Directives, Multimedia: Applets and Application: Loading, Displaying and Scaling Images, Animating a Series of Images, Loading and playing Audio clips

**UNIT–V** Advance Web/Internet Programming (Overview): J2ME, J2EE, EJB, XML.

**References:**

1. Deitel & Deitel, ”JAVA, How to Program”; PHI, Pearson.

2. E. Balaguruswamy, “Programming In Java”; TMH Publications

3. The Complete Reference: Herbert Schildt, TMH

4. Peter Norton, “Peter Norton Guide To Java Programming”, Techmedia.

5. Merlin Hughes, et al; Java Network Programming , Manning Publications/Prentice Hall