Core Course Structure and Syllabus

Dept. of Mechanical Engineering

M Tech (Machine Design)

SEMESTER-I

Course No.

Course Name

L

T

P

C

ME 501

Advanced Engineering Mathematics

3

0

0

6

ME 530

Advanced Mechanics of Solids

3

0

0

6

ME 531

Mechanical Vibration

3

0

0

6

ME 502

Engineering Computing Laboratory

0

0

3

3

ME 532

Finite Element Methods in Engineering

3

0

0

6

ME xxx

Elective – I

3

0

0

6

15

0

3

33

SEMESTER-II

Course No.

Course Name

L

T

P

C

ME xxx

Elective – II

3

0

0

6

ME xxx

Elective – III

3

0

0

6

ME xxx

Elective – IV

3

0

0

6

ME xxx

Elective – V

3

0

0

6

ME xxx

Elective – VI

3

0

0

6

15

0

0

30

SEMESTER-III

Course No.

Course Name

L

T

P

C

ME 503

Technical Writing

0

0

3

3

ME 504

Project Phase I

0

0

21

21

0

0

24

24

SEMESTER-IV

Course No.

Course Name

L

T

P

C

ME 505

Project Phase II

0

0

24

24

0

0

24

24


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 photo-elasticity.

Texts/References:

  1. M. H. Sadd, Elasticity: theory, applications, and numeric, 3 rd edition, Academic Press, 2014.
  2. L. S. Srinath, Advanced mechanics of solids, 3rd Edition, McGraw-Hill, 2009. .
  3. R. G. Budynas, Advanced Strength and Applied Stress Analysis, 2 nd Edition, McGraw Hill, 1999.
  4. A. P. Boresi, R. J. Schmidt, Advanced Mechanics of Materials, 6 th Edition, John Willey and Sons, 2009.
  5. S. P. Timoshenko, J. N. Goodier, Theory of Elasticity, 3rd Edition, McGraw Hill, 2017.
  6. P. Raymond, Solid Mechanics for Engineering, 1st Edition, John Willey & Sons, 2001.
  7. J. W. Dally and W. F. Riley, Experimental Stress Analysis, 3 rd Edition, McGraw Hill, 1991.

ME 531 Mechanical Vibration (3-0-0-6)

Generalised co-ordinates, constraints, virtual work; Hamilton's principle, Lagrange's equations; Discrete and continuous system; Vibration absorbers; Response of discrete systems-SDOF & MDOF: free-vibration, periodic excitation and Fourier series, impulse and step response, convolution integral; Modal analysis: undamped and damped non-gyroscopic, undamped gyroscopic, and general dynamical systems. Effect of damping; Continuous systems: vibration of strings, beams, bars, membranes and plates, free and forced vibrations; Raleigh-Ritz and Galerkin's methods. Measurement techniques.

Texts/References:

  1. L. Meirovitch, Elements of Vibration Analysis, McGraw Hill, 2 nd edition, 1986.
  2. L. Meirovitch, Principles and Techniques of Vibrations, Prentice Hall International (PHIPE), 1997.
  3. W. T. Thomson and M. D. Dahleh, Theory of Vibration with Applications, 5th edition, Pearson, 1997.
  4. F. S. Tse, I. E. Morse and R. T. Hinkle, Mechanical Vibrations, 2 nd edition, CBS Publications, 2004.
  5. J. S. Rao and K. Gupta, Introductory course on Theory and Practice of Mechanical Vibrations, 2nd edition, New Age Publication, 1999.

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 Rayleigh-Ritz and Galerkin methods; Finite element analysis of 1-D 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 2-D 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/References:

  1. J. N. Reddy, An introduction to the Finite Element Method, 3 rd edition, McGraw-Hill, 2006.
  2. R. D. Cook, D. S. Malkus and M. E. Plesha, Concepts and Applications of Finite Element Analysis, 4th edition, John Wiley, 2007.
  3. K. J. Bathe, Finite Element Procedures in Engineering Analysis, 2 nd edition (reprint), Prentice-Hall, 2009.
  4. T. J. R. Hughes, The Finite Element Method, Prentice-Hall, 1986.
  5. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 7 th edition, Butterworth-Heinemann, 2013.

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