MTech in Mechanical Engineering
(Specialization:
Machine Design)
Semester  1 

Semester  2 







Course No 
Course Name 
LTPC 

Course No 
Course Name 
LTPC 
ME 501 
Advanced Engineering Mathematics 
3028 

ME 532 
Finite Element Methods in
Engineering 
3006 
ME 530 
Advanced Mechanics of Solids 
3006 

ME 533 
Engineering Design Methodology 
2026 
ME 531 
Mechanical Vibration 
3006 

ME 6xx 
Elective III 
3006 
ME 6xx 
Elective I 
3006 

ME 6xx 
Elective IV 
3006 
ME 6xx 
Elective II 
3006 

ME 6xx 
Elective V 
3006 








Total Credits: 
150232 


Total Credits: 
140230 







Semester  3 


Semester 4 








Course No 
Course Name 
LTPC 

Course No 
Course Name 
LTPC 
ME 610 
Project Phase I 
002424 

ME 690 
Project Phase II 
002424 








Total Credits: 
002424 


Total Credits: 
002424 
ME 501 Advanced
Engineering Mathematics
(3028)
Vector and Tensor Analysis
in Cartesian system, effect of rotation of coordinate systems. Review of ODEs; Laplace
& Fourier methods, series solutions, and orthogonal polynomials. SturmLiouville
problem. Review of 1^{st} and 2^{nd} order PDEs. Linear systems of algebraic equations.
Gauss elimination, LU decomposition etc., Matrix inversion, illconditioned
systems. Numerical eigen solution techniques (Power, Householder, QR methods etc.).
Numerical solution of systems of nonlinear algebraic equations; NewtonRaphson method.
Numerical integration: NewtonCotes methods, error estimates, Gaussian
quadrature. Numerical solution of ODEs: Euler,
Adams, RungeKutta methods, and predictorcorrector
procedures; stability of solutions; solution of stiff equations. Solution of PDEs: finite difference
techniques. Probability and Statistics – Probability Distribution, Bays
Theorem, Parameter Estimation, Testing of Hypothesis, Goodness of Fit. Laboratory: Basics of programming. Numerical experiments with the
algorithms covered in class. Texts/References: 1.
E. Kreyzig,
Advanced Engineering Mathematics,
New Age International, 1996. 2.
D. S.
Watkins, Fundamentals of Matrix
Computations, John Wiley, 1992. 3. M. K. Jain, S. R. K. Iyengar,
and R. K. Jain, Numerical Methods for
Scientific and
Engineering Computation, 3^{rd} Ed., New Age International, 1993. 4.
D.S. Chandrashekaraiah and L. Debnath,
Continuum Mechanics, Academic
Press, 1994. 5.
M.K.
Jain, S.R.K. Iyenger and R.K. Jain, Computational Methods for Partial
Differential Equations, New Age International, 1994. 6.
R.
Courant and D. Hilbert, Methods of
Mathematical Physics, Wiley, 1989. 7.
P.V. O’Neil, Advanced Engineering Mathematics, Cengage Learning, 2007. 8.
G. B. Arfken, H. J. Weber and
F.Harris, Mathematical Methods for Physicists, 5^{th} Ed., Academic
Press, 2000. 
ME 530 Advanced
Mechanics of Solids (3
0 0 6)
Analysis of Stresses and Strains in
rectangular and polar coordinates: Cauchy’s formula, Principal stresses
and principal strains, 3D Mohr’s Circle, Octahedral Stresses,
Hydrostatic and deviatoric stress, Differential
equations of equilibrium, Plane stress and plane strain, compatibility
conditions. Introduction to curvilinear coordinates. Generalized
Hooke’s law and theories of failure. Energy Methods. Bending of
symmetric and unsymmetric straight beams, effect of
shear stresses, Curved beams, Shear center and
shear flow, shear stresses in thin walled sections, thick curved bars.
Torsion of prismatic solid sections, thin walled sections, circular,
rectangular and elliptical bars, membrane analogy. Thick and thin walled
cylinders, Composite tubes, Rotating disks and cylinders. Euler’s
buckling load, Beam Column equations. Strain measurement techniques using
strain gages, characteristics, instrumentations, principles of
photoelasticity. Text: 1.
L. S. Srinath, Advanced Mechanics of Solids, 2^{nd} Edition,
TMH Publishing Co. Ltd., New Delhi, 2003. References: 1.
R. G. Budynas, Advanced
Strength and Applied Stress Analysis, 2^{nd} Edition, McGraw Hill
Publishing Co, 1999. 2.
A. P. Boresi, R. J. Schmidt,
Advanced Mechanics of Materials, 5^{th} Edition, John Willey and Sons
Inc, 1993. 3.
S. P. Timoshenko, J. N. Goodier,
Theory of Elasticity, 3^{rd} Edition, McGraw Hill Publishing Co.
1970. 4.
P. Raymond, Solid Mechanics for
Engineering, 1^{st} Edition, John Willey & Sons, 2001. 5.
J. W. Dally and W. F. Riley, Experimental Stress
Analysis, 3^{rd} Edition, McGraw Hill Publishing Co., New York, 1991. 
ME 531 Mechanical
Vibration (3 0 0 6) Generalised coordinates, constraints, virtual work;
Hamilton's principle, Lagrange's equations; Discrete and continuous system;
Vibration absorbers; Response of discrete systems  SDOF & MDOF:
freevibration, periodic excitation and Fourier series, impulse and step
response, convolution integral; Modal analysis: undamped
and damped nongyroscopic, undamped gyroscopic,
and general dynamical systems.
Effect of damping; Continuous systems: vibration of strings, beams,
bars, membranes and plates, free and forced vibrations; RaleighRitz and Galerkin's methods. Measurement techniques. Texts: 1. L Meirovitch, Elements
of Vibration Analysis, McGraw Hill, Second edition, 1986. 2. Meirovitch, Principles & Techniques of
Vibrations, Prentice Hall International (PHIPE), New Jersey, 1997. 3. W T Thomson, Theory of Vibration with Applications,
CBS Publ., 1990. 4. F S Tse, I E Morse
and R T Hinkle, Mechanical
Vibrations, CBS Publ., 1983. 5. J S Rao and K Gupta, Theory
and Practice of Mechanical Vibrations, New Age Publication, 1995. 
ME 532 Finite
Element Methods in Engineering (3 0 0 6) Introduction:
Historical background, basic concept of the finite element method, comparison
with finite difference method; Variational methods:
calculus of variation, the RayleighRitz and Galerkin
methods; Finite element analysis of 1D problems: formulation by different
approaches (direct, potential energy and Galerkin);
Derivation of elemental equations and their assembly, solution and its postprocessing.
Applications in heat transfer, fluid mechanics and solid mechanics.
Bending of beams, analysis of truss and frame. Finite element analysis of 2D
problems: finite element modelling of single
variable problems, triangular and rectangular elements; Applications in heat transfer,
fluid mechanics and solid mechanics;
Numerical considerations: numerical integration, error analysis, mesh
refinement. Plane stress and plane strain problems; Bending of plates; Eigen value
and time dependent problems; Discussion about preprocessors, postprocessors
and finite element packages. Texts: 1. J N Reddy, An
introduction to the Finite Element Method, McGrawHill, New York, 1993. 2. R D Cook, D S Malkus and M
E Plesha, Concepts and Applications of Finite Element
Analysis, 3d ed., John Wiley, New York, 1989. 3. K J Bathe,
Finite Element Procedures in Engineering Analysis, PrenticeHall, Englewood
Cliffs, NJ, 1982. 4. T J T Hughes,
The Finite Element Method, PrenticeHall, Englewood Cliffs, NJ, 1986. 5. O C Zienkiewicz and R L Taylor, The Finite Element Method, 3d
ed. McGrawHill, 1989. 
ME 533
Engineering
Design Methodology (2
0 2 6) Fundamentals: principles of design, systematic
approach, need analysis and design of specification;
Conceptual design: developing function structure, developing concepts by
systematic search with physical principles, classifying schemes; Concept
selection: matrix methods, necessity methods, probability methods,
fuzzy set based methods, case study on consumer product; Embodiment design: basic rules, system modeling, preliminary
design calculations and material selection, design considerations like force
alignment, vibration etc., failure modes and effects analysis, design for
manufacturability and assembly, case studies on design of machines; Optimal
and robust design: design problem
formulation for analytical and numerical solution, design of experiments, Taguchi’s method; Reverse engineering;
Physical prototyping; Lab: conceptual design, reverse engineering, design of
simple sensors and actuators, hydraulic and pneumatic systems, motors and
controller, product teardown and redesign, embodiment design, CAE analysis,
prototyping, design project. Texts: 1.
Yousef Haik, Engineering Design Process, Vikas Publishing house, New Delhi, 2003. 2.
G. Pahl, and W. Beitz, Engineering Design – A Systematic
Approach, Springer – Verlag, 1996. References 1.
K. Otto and K. wood, Product Design –
techniques in reverse engineering and new product development, Pearson
Education, New Delhi, 2004. 2.
A. Ertas and J. C. Jones, The Engineering Design Process, 2nd ed.,
John Wiley and Sons, 1996. 3.
A. Kusiak, Engineering
Design – Products, Processes and Systems, Academic Press, 1999. 4.
C. L. Dym and P. Little, Engineering
Design – A Project based Introduction, John Wiley, 2000. 5.
G. E. Dieter, Engineering Design – A Materials
and Processing Approach, 3rd ed., McGrawHill International, 2000. 6.
E. Kroll, S. S. Condoor and
D. G. Jonsson, Innovative Conceptual Design
– Theory and Application of Parameter Analysis, Cambridge Univ.
Press, 2001. 










