NIT III Sem Mechanical Syllabus

NIT Raipur III SEM Mechanical Engineering Syllabus


Name of the Subject Mathematics Subject Code MA 20311 (ME)

Semester III Board of Studies Mechanical Engg.

Maximum Marks 70 Minimum Marks 25

Lecture Periods/Week Tutorial Periods/Week Practical Periods/Week Credits – 3 1 0 4

 UNIT I – Fourier Series

Euler’s Formula, Functions having points of discontinuity, Change of interval, Even & Odd functions, Half range series, Harmonic analysis.

UNIT II – Laplace Transform

Definition, Transform of elementary functions, Properties of Laplace transform, Transform of derivatives & integrals, Multiplication by tn, Division by t, Evaluation of integrals, Inverse Laplace Transform, Convolution theorem, Unit step function, Unit impulse function, Periodic function, Application to solution of ordinary differential equations.


UNIT III – Partial Differential Equation


Formation, Solution by direct integration method, Linear equation of first order, Homogeneous

linear equation with constant coefficients, Non-homogeneous linear equations, Method of

separation of variables.


UNIT IV – Complex Variables


Derivative, Cauchy-Riemann equations, Analytic functions, Harmonic functions, Flow problem,

Complex integration, Cauchy theorem, Cauchy integral formula, Taylor & Laurent series,

Singularity, Residue, Evaluation of real definite integrals.


UNIT V – Statistics


Random variables, Discrete & continuous probability distributions, Expectation, Mean & Standard

Deviation, Moments & moment generating function, Distributions-Binomial, Poisson and Normal



Text Books:-



Higher Engg. Mathematics by Dr. B.S. Grewal– Khanna Publishers.

2. Advanced Engg. Mathematics by Erwin Kreyszing – John Wiley & Sons.


Reference Books:-



Advanced Engg.Mathematics by R.K. Jain and S.R.K. Iyengar – Narosa Publishing House.

2. Applied Mathematics by P.N.Wartikar & J.N. Wartikar. Vol- II– Pune Vidyarthi Griha


3. Applied Mathematics for Engineers & Physicists by Louis A. Pipes- TMH.






Name of the Subject Numerical Techniques Subject Code ME 20312 (ME)

Semester III Board of Studies Mechanical Engg.

Maximum Marks 70 Minimum Marks 25

Lecture Periods/Week Tutorial Periods/Week Practical Periods/Week Credits

3 1 3 4+2


UNIT I – Error Analysis and Roots of Equations


Approximation and Errors:


Approximate number and significant Figures, Absolute, Relative and

percentage error, Round of errors, Truncated errors, Accuracy of series approximations, Taylor’s series,

Exponentials series, Logarithmic series etc. Error propagation in functions of single and multiple variables.


Roots of Equations:


Roots of algebraic, Transcendental and polynomial equation, Approximate roots, Real

roots using bracketing methods, Bisection method and Regula-Falsi method, Real roots using open method,

Secant method, Iterative method, Complex roots of polynomial equations.


UNIT II – Solution of Coupled Equations


System of coupled equations, Unique solution, Singular solution, III conditional equations, Cramer’s rule,

Matrix method, Method of leading coefficients, gauss elimination – pitfalls of elimination, Division by

zero, Round off errors, Scaling effect, Gauss Jordan, Gauss Seidal, Convergence criteria of – Gauss,

Newton Raphson’s Method.


UNIT III – Curve Fitting




Difference Table, Interpolation, Newton’s forward and backward interpolation, Newton’s

general interpolation formula, Lagrang’s Interpolation, Gauss Central, Difference interpolation, Spline

fitting–Cubic spline.




Regression Analysis, Least square analysis, Formation of Normal Equation, Linear

Regression, Polynomial regression, Exponential Geometric and Trigonometric regression, Multiple



UNIT IV – Numerical Differentiation:


First, Second and Higher Order Differentiation Formula.


Numerical Integration:


Newton’s Cotes Integration, Trapezoidal Rule, Simpson’s one third and three

eighth rule, Integration of equations, Romberg Integration, Gauss quadrature.


Solution of Ordinary Differential Equation:


Euler’s Method, Modified Euler’s Method, Runge Kutta’s

Method Milene’s Method.


UNIT V – Solutions of Partial Differential Equations by Finite Difference Technique:


Finite difference method, partial Difference Equation: Elliptic, Parabolic and Hyperbolic Solution of

Laplace and Poisson’s equation by finite difference method, Iteration and relaxation techniques.


Computer Lab:


All methods are to be practiced using high level programming language such as FORTRAN, C, C++.




1. Numerical Methods for Engineers by Steven C, Chapra and Raymond P. Canale, McGraw Hill

International Editions.

2. Numerical Methods in Engineering and Science by Dr. B.S. Grewal.


Reference Books :


1. Numerical Methods Analysis by J. Scarborough.






Name of the Subject Material Science Subject Code ME 20313 (ME)

Semester III Board of Studies Mechanical Engg.

Maximum Marks 70 Minimum Marks 25

Lecture Periods/Week Tutorial Periods/Week Practical Periods/Week Credits

3 1 0 4




Structure of Materials:


Crystalline structure of solid: Concept of unit cell and space lattice, Miller

Indices, Crystal structure determination by X-ray diffraction, Crystal imperfections.


Solidification of Metals a nd Alloys:


Mechanism of solidification, nucleus formation and crystal

growth, Metal ingot structure-dendritic and columnar grains, grain boundaries, grain growth, effect of

grain size on properties of metals, polytropic transformation.




Elastic and Plastic Deformation:


Material properties like strength, hardness, toughness, ductility,

brittleness etc. and their importance in manufacturing. Quantitative evaluation of these properties with

destructive testing methods. Mechanism of plastic deformation, role of dislocations, slip and twinning.

Strain hardening, Seasons cracking, Baushinger effect, yield point phenomena and related effects, Cold

working and Hot working processes, effect on properties like recovery, recrystallization, grain growth,

grain size etc.




Phase Diagrams:


Phase and phase equilibrium: solidification of pure metals and alloys, Phase

diagrams of monotectic, eutectic, eutectiod, peritectic and peritectoid & other systems. Allotropy of iron

and Fe-C diagram.




Heat Treatment:


Introduction, purpose of heat treatment, T-T-T curve and micro constituents in steel

heat treatment processes like hardening, tempering, annealing, normalizing, Effects of heat treatment on

properties of materials. Surface treatment processes.




Engineering Materials:


Classification, structure, general properties and applications of Ca s t Iron, Steel,

brass, Bronze, bearing metals, light metal alloys, sintered carbide.


Text Books:


1. Engineering Physical Metallurgy – Lakhtin – CBS Publishers & Distributors

2. Materials Science- Narang – CBS Publishers & Distributors


Reference Books:


1. Elements of Material Science & Engg. – Van Vlack. – Addison – Wesley longman, 6th Edn., New

York 2. Physical Metallurgy – Clark & Varney, East West Edn., New Delhi

2. Engineering Materials – Woulf series.

3. Material Science & Engg. – A first course – V. Raghavan – PHI (P) Ltd., Delhi, 2003

4. A Text Book of Material Science & Metallurgy – O.P. Khanna – Dhanpat Rai & Sons – New Delhi

5. Physical Metallurgy Principles – Robert E Reed Hill – Affiliated East-West Press Pvt. Ltd., New

Delhi, 2004






Name of the Subject Mechanics of Solid-I Subject Code ME 20314 (ME)

Semester III Board of Studies Mechanical Engg.

Maximum Marks 70 Minimum Marks 25

Lecture Periods/Week Tutorial Periods/Week Practical Periods/Week Credits

3 1 3 4+2






Basic of stress & strain, Elastic constant, Stress-strain diagram, Hooke’s law, Stresses in the components

subjected to multi-axial forces, Temperature stresses, Statically indeterminate system.




Bending of beams


Bending of beams with symmetric section, boundary condition, Pure bending, Bending equation, traverse

shear stress distribution in circular, hollow circular, I & T section.




Deflection of beam


Relation between slope deflection and radius of curvature, solution of beam deflection, problem by

Macaulay’s method, Direct integration method, Method of super position, Moment Area Method.






Deformation in circular shaft due to torsion, Basic assumption, Torsion equation, Stresses in elastic range,

Angular deflection, hollow and stepped circular shaft.

Spring: Closed and open coil helical spring subjected to axial load, spring in parallel & series.




Principle stresses and strain


Transformation of plane stresses, Principle stresses, Maximum shear stresses, Mohr’s circle for plane

stresses, Plain strain and its Mohr’s circle representation, Principle strains, Maximum shear strain.

Combined Loading: Components subjected to bending, torsion & axial loads.


Text Books:


1. Elements of strength of material – Timoshenko & young- EWP press

2. Mechanics of Solids – Beer & Johnson, Tata McGraw Hill Publications.


Refrence Books:


1. Strength of material – Rider–ELBS

2. Introduction to Solid Mechanics – I.H.Shames–PHI

3. Strength of Materials – R.K. Rajput – Dhanpat Rai & Sons

4. Strength of Materials – Dr. Sadhu Singh – Khanna publication.






Name of the Subject Applied Thermodynamics Subject Code ME 20315 (ME)

Semester III Board of Studies Mechanical Engg.

Maximum Marks 70 Minimum Marks 25

Lecture Periods/Week Tutorial Periods/Week Practical Periods/Week Credits

3 1 3 4+2


UNIT – I Second Law Analysis


Introduction to the second law of Thermodynamics, The Clausius inequality, Entropy, Principle of increase

in entropy, T-ds relation. Availability – Second law analysis of Closed system, Second law analysis of

steady–flow system, Irreversibility.


UNIT – II Thermodynamic Relationships


Helmholz and Gibbs functions, Coefficient of Volume expansion and isothermal compressibility,

Differential relations of internal energy, Maxwell’s Relation, C

p Cv relations, T-ds equations,

Clapreyon equation, Kelvin coefficient.


Equation of state:


Ideal gas equation of state, Real gas deviation with ideal gas, Vander waals equation, Evaluation of its

constants, Virial expansions, Limitations of the equation. The law of corresponding states.


UNIT – III Vapour and Vapour Power Cycle


Properties and processes in ideal vapour, Use of steam tables and Molier’s diagram in

determination of steam properties, energy and entropy calculations.

Carnot and Rankine cycle as applied to steam power plants, Reheat cycle, Ideal regenerative cycle,

Practical regenerative cycle, Characteristics of ideal working fluids, Binary vapour cycle.


Unit – IV Reciprocating Air Compressors


Classification of air compressors, Advantages, Disadvantages of reciprocating compressors, Working

of reciprocating compressor, Equation of work (with & without clearance) volumetric efficiency,

Multistage compressors, Efficiency of compressor, Effect of atmospheric condition on output of

Compressors, Thermodynamic analysis of reciprocating compressor, Intercooler & External cooler.


Unit – V Thermodynamics of Compressible Fluids


Isentropic flow, Stagnation conditions, Stagnation enthalpy, Temperature, Pressure, Density, Flow

through available area, Duct, Converging nozzle, Convergent divergent nozzle, Operation of

convergent divergent nozzle for different back pressures. Flow with friction and heat transfer, Fanno

flow, Rayleigh flow. Flow of steam through nozzle, Throat area for maximum discharge, Supersaturated

Flow in nozzle.


Text Books:


1. Engineering Thermodynamics – P.K. Nag – TMH Publishers

2. Thermodynamics & Thermal Engineering – J. Selwin Rajadurai – New Age International Publishers


Reference Books:


1. Thermodynamics – C.P. Arora – TMH Pub.

2. Thermal Science & Engineering – D.S. Kumar – S.K. Kataria & Sons

3. Thermodynamics – S.C. Gupta – Pearson Education

4. Thermodynamics- An Engineering Approach – Cengal & Boles – McGraw Hill

5. Engineering Thermodynamics – K. Ramakrishna – Anuradha Agencies






Name of the Subject Machine Drawing Subject Code ME 20316 (ME)

Semester III Board of Studies Mechanical Engg.

Maximum Marks 70 Minimum Marks 25

Lecture Periods/Week Tutorial Periods/Week Practical Periods/Week Credits

4 1 0 5




Conventional representation of surface finish, Roughness number symbol, Symbols of Machine elements

and welded joints.


Limits, Fits and Tolerances:


General aspects, Nominal size and basic dimensions, Definitions, Basis of fit

or limit system, Systems of specifying tolerances, Designation of holes, Shafts and fits, Commonly used

holes and shafts.




Drawings of various views of Screw threads, metric and BSW threads, Square thread and multi

start threads. Nut bolts, Washers, Setscrew, Locknuts and foundation bolts.


Riveted joints:


Forms and proportions of river heads, Different views of different types of riveted Lap and

Butt joints.




Drawings of various views of


Shaft joints:


Cotter joint and Knuckle joint. Keys & Shaft coupling: Muff, Flanged, Flexible, Universal

and Oldhams coupling.

Shaft bearing: Solid and bush bearing, Plummer block, Footstep bearing. Pipe




Flanged joint, Socket and Spigot joint, Hydraulic joint, Union joint, Gland & Stuffing Box,

Expansion joint.

Pulley: Belt pulley, V belt pulley, Fast and loose pulley, Speed cone pulley, Built up





Spur gear in mesh with approximate construction of tooth profile, Rack and pinion.




Assembly and detailed drawings of


Engine Parts:


Piston, Stuffing box, cross head, Vertical & Horizontal engine, Connecting rod, Crank,



Steam stop valves, Feed check valve, Safety valves, Blow off cock.


Study of assembly production drawing/blue print are to be practiced in the tutorial/practical. Few drawings are to be practiced on AutoCAD. The parts are to be shown during practice.

Text Books:

1. Machine drawing- N.D.Bhatt., published by R.C. Patel Charotar Book Stall Tulshi Sadan, Station

Road, Annad, India.

2. Machine drawing – P.S. Gill S.K. Kataria & Sons Delhi.

3. Machine drawing – T.Jones.

NIT III Sem Mechanical Syllabus

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