Engineering Mechanics
Course Objective:
This course provides students with the fundamental knowledge of the principles, concepts and application of mechanics for solving engineering problems. The students will become familiar with the analytical/graphical methods for solving problems of mechanics, mainly of dynamics.
- Virtual Work(2 hours)
- Definition of Work and Virtual Work
- Principal of Virtual Work for a Particle and a Rigid Body
- Uses of the Principal of Virtual Work
- Virtual Work Done by Moments
- Kinetics of Particles: Force, Mass and Acceleration(6 hours)
- Newton’s Second Law of Motion
- Consistent System of Units
- Equations of Motion: Radial and Transverse Components
- Dynamic Equilibrium: Inertia Force
- Principle of Motion of the Mass Centre
- Motion due to a Central Force, Conservation of Momentum
- Newton’s Law of Gravitation
- Kinetics of Particles: Work Energy Principles(4 hours)
- Work Done by a Force
- Kinetic Energy of a Particle
- Principle of Work and Energy, Applications
- Power and Efficiency
- Potential Energy
- Conservation of Energy
- Kinetics of Particles: Impulse and Momentum(6 hours)
- Principle of Impulse and Momentum
- Impulsive Motion and Impact
- Direct Central Impact
- Oblique Central Impact
- Kinematics of Rigid Bodies(7 hours)
- Introduction to Plane Kinematics of Rigid Bodies
- Translation, Rotation and General Plane Motion
- Absolute and Relative Velocity in Plane Motion
- Instantaneous Centre of Rotation
- Absolute and Relative Acceleration in Plane Motion
- Motion Relative to Rotating Axis; Coriolis Acceleration
- Plane Kinetics of Rigid Bodies: Force, Mass and Acceleration(8 hours)
- Mass Moment of Inertia
- Moment of Inertia of Mass
- Radius of Gyration
- Parallel Axis Theorem
- Mass moment of inertia of Composite Bodies
- Force and Acceleration
- Equations of Motion for a Rigid Body
- Angular Momentum of a Rigid Body in Plane Motion
- Plane Motion of a Rigid Body: D’Alembert’s Principle
- Application of Rigid Body Motion in the Plane
- Constrained Motion in the Plane
- Plane Motion of Rigid Bodies: Work and Energy Method(4 hours)
- Work Energy Relations
- Work of a Force on a Rigid Body
- Kinetic Energy of a Rigid Body
- Principle of Work and Energy for a Rigid Body
- Acceleration from Work Energy Method
- Plane Motion of Rigid Bodies: Impulse and Momentum Method(4 hours)
- Impulse and Momentum of a Rigid Body
- Conservation of Angular and Linear Momentum
- Impulsive Motion and Eccentric Impact of Rigid Bodies
- Lagrangian Dynamics (4 hours)
- Degree of Freedom in mechanical systems and Generalized Coordinates
- D’Alembert’s – Lagrange Principle and Lagrange Equations of motion
- Differential equation of motion for a system of particles
- Conservation Theorems
Tutorials
There should be at least one assignment from each chapter and 2 assessment tests during the semester.
References
- F.P. Beer and E.R. Johnston, Jr “Mechanics for Engineers – Statics and Dynamics”, Latest Edition, Mc Graw Hill
- R.C. Hibbler, “Engineering Mechanics – Dynamics”, Latest Edition
- J.C. Jong and B.G. Rogers, “Engineering Mechanics, Statics and Dynamics”- Saunders College Publishing, International Edition
- Bela I. Sandor, “Engineering Mechanics – Dynamics, Prectice Hall, Inc.,Englewood Cliffs
- J.L. Meriam.,”Engineering Mechanics – Statics and Dynamics, John Wiley and Sons
Evaluation Scheme
The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Chapter |
Hours |
Mark Distribution* |
1 |
2 |
4 |
2 |
6 |
10 |
3 |
4 |
8 |
4 |
6 |
10 |
5 |
7 |
12 |
6 |
8 |
15 |
7 |
4 |
8 |
8 |
4 |
8 |
9 |
4 |
5 |
Total |
45 |
80 |
*Note: There may be minor deviation in marks distribution.
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