Back close

Course Detail

Course Name Kinematics of Machines
Course Code 15MEC212
Program B. Tech. in Mechanical Engineering
Semester Four
Year Taught 2019


Unit 1

Basics of Mechanisms
Definitions – Link, Kinematic pair, Kinematic chain, Mechanism and Machine – Degree of Freedom – Mobility – Kutzbach criterion (Gruebler’s equation) – Grashoff’s law – Kinematic Inversions of four-bar chain and slider crank chain – Mechanical Advantage – Transmission angle. Description of common Mechanisms – Offset slider mechanism as quick return mechanisms, Pantograph, Straight line generators (Peaucellier and Watt mechanisms), Steering gear for automobile, Hooke’s joint, Toggle mechanism, Ratchets and escapements – Indexing Mechanisms, Steering gear mechanisms such as Davis and Ackermann Steering gear.

Unit 2

Kinematic Analysis
Analysis of simple mechanisms (Single slider crank mechanism and four bar mechanism) – Graphical Methods for displacement, velocity and acceleration, velocity and acceleration polygons, Instantaneous Centre of Velocity, Kennedy Theorem, Klein’s Construction; Shaping machine mechanism – Coincident points – Coriolis acceleration, Analytical method of analysis of slider crank mechanism and four bar mechanism. Approximate analytical expression for displacement, velocity and acceleration of piston of reciprocating engine mechanism.

Unit 3

Classifications – Displacement diagrams – Parabolic, Simple harmonic and Cycloidal motions – Graphical construction of displacement diagrams and layout of plate cam profiles – circular arc and tangent cams.

Classification of gears – Gear tooth terminology – Fundamental Law of toothed gearing and involute gearing – Length of path of contact and contact ratio – Interference and undercutting – Gear trains – Simple, compound and Epicyclic gear trains – Differentials.

Unit 4
  • To study various types of kinematics links, pairs, chains and mechanisms
  • To study inversions of a 4-Bar mechanism
  • To study the inversions of single mechanism
  • To study the inversions of double slider crank mechanism
  • To plot joint angle, velocity and acceleration of coupler link against crank rotation for a four-bar mechanism.
  • To plot slider displacement, velocity and acceleration of slider against crank rotation for slider crank mechanism
  • To study various types of gears – helical, cross helical, worm, bevel gear, rack and pinion.
  • To study various types of cam and follower arrangements.
  • To Study various types of gear trains – Simple, Compound, reverted, Epicyclic and Differential.
  • To Develop a prototype of a four-bar mechanism
  • To Develop a prototype of a Geneva mechanism

Text Books

  • Rattan S. S. – ‘Theory of Machines’ – McGraw Hill IndiaPvt. Ltd. – 2014 – 4th Edition


  • Thomas Bevan – ‘Theory of Machines’ – CBS Publishers and Distributors – 2005 – 3rd Edition
  • Ghosh A. and Mallick A. K. – ‘Theory of Mechanisms and Machines’ – Affiliated East-West Press Pvt.Ltd. New Delhi – 2008.
  • Shigley J. E. and UickerJ. J. – ‘Theory of Machines and Mechanisms’ – Oxford Publishers – 2014 – SI units Edition
  • Rao J. S. and Dukkipati R. V. – ‘Mechanism and MachineTheory’ – New Age Publishers, New Delhi – 2008
  • John Hannah and Stephens R. C. – ‘Mechanics of Machines’ – 1999 – Viva low-Priced Student Edition
  • Sadhu Singh – ‘Theory of Machines’ – Pearson Education – 2011 – 3rd Edition

DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.

Admissions Apply Now