DE02 APPLIED MECHANICS

 

1.         Basic Concepts and Force Systems                                                               6 hours

 

1.1     Basic Concepts, Scalars and Vectors, Units, Force, Resolution of Forces, Moment of a Force, Couple, Laws of Mechanics.

1.2     Resultant of Different Force Systems.

 

I [1, 2, 3]

 

2.         Equilibrium                                                                                                     6 hours

 

2.1         Free Body Diagrams, Equilibrium Conditions, Equilibrium Problems.

2.2         Plane Trusses, Method of Joints, Method of Sections.

2.3         Principle of Virtual Work, Simple Equilibrium Problems.

 

I [4, 6, 10]

 

3.         Centre of Gravity and Moment of Inertia                                                      6 hours

 

3.1      Centre of gravity of Lines, Areas and Volumes and Composite Figures.

3.2       Moment of Inertia, Related Theorems, Composite Figures.

 

I [7]

 

4.         Friction                                                                                                           6 hours

 

4.1   Coulomb’s Laws of Friction, Equilibrium Problems with Friction, Inclined Plane, Wedge, Screws, etc.

4.2   Common Lifting Machines, Efficiency, Irreversibility.

 

I [8, 9]

 

5.         Kinematics of a Rigid Body                                                                            6 hours

 

5.1               Linear Motion of a Particle, Velocity and Acceleration.

5.2               Circular Motion of a Particle, Velocity and Acceleration.

5.3               Rotation of a Rigid Body, Angular Velocity and Angular Acceleration, General Plane Motion, Relative Motion in a Plane, Simple Applications.

5.4               Simple Harmonic Motion.

 

I [12, 13, 14]

 

6.         Kinetics of Rigid Bodies                                                                                6 hours

 

6.1         Newton’s Second Law, Simple Applications.

6.2         Linear and Angular Momentum, Law of Rotary Motion, Kinetic Energy.

6.3         D’Alembert’s Principle.

6.4         Impulse and Momentum, Impact.

6.5         Work, Power and Energy.

 

I [15, 17, 18]

 

7.         Direct Stresses                                                                                               6 hours

 

7.1         Definition of Stress, Stresses in Axially Loaded Bars, Analysis for Normal and Shear Stresses.

7.2         Normal Strain, Stress-Strain Diagrams, Hooke’s Law, Poisson’s Ratio,

            Thermal Strain, Simple Problems on Axially Loaded Bars.

 

II [1, 2]

 

8.         Torsion                                                                                                           6 hours

 

8.1         Torsion of Circular Shafts, Torsion Formula for Stress and Angle of Twist.

8.2         Design of Circular Members in Torsion, Shaft Couplings.

 

II [6A]

 

9.         Beams                                                                                                             12 hours

 

9.1               Shear Force and Bending Moment Diagrams.

9.2               Elastic Flexural Formula, Applications, Composite Beams.

9.3               Deflection of Beams, Direct Integration, Moment Area Method.

 

II [7, 8, 10]

 

 

 

Text Books

I. R.K. Bansal, “A Text Book of Engineering Mechanics”, Laxmi Publications, N. Delhi (1992).

II.    E.P. Popov, “Engineering Mechanics of Solids”, Prentice Hall of India, N. Delhi (1993).

 

Reference Books

 

1.     S. Ramamurtham, “A Text Book of Applied Mechanics” Dhanpat Rai Publications  (1997).

2.     S. Ramamurtham, “Strength of Materials” Dhanpat Rai Publications (1998).