1. Basic Concepts and
Force Systems 3
hours
1.1
Basic
Concepts, Units, Scalars and Vectors, Laws of Mechanics.
1.2
Position
Vector, Force, Moment and Couple.
1.3
Resultant
of force systems, Distributed Forces, Centre of Gravity and Centre of Pressure.
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
Laws
of Coulomb Friction, Equilibrium Problems with Friction Thrust Bearing, Belt,
Screw etc.
I [5, 6A, 7]
3. Properties of Areas
and Moments of Inertia 6
hours
3.1
Centroids of Lines, Areas, Volumes, Composite Figures, Centre of Mass.
3.2
Second
Moments and Products of an Area, Transfer Theorems, Polar Moment of an Area.
3.3
Mass
Moments and Product of Inertias of a Body, Translation of Coordinate Axes.
I [8, 9]
4. Kinematics and
Dynamics of a Particle 6
hours
4.1
Velocity
and Acceleration in Rectangular, Cylindrical and Polar Coordinates, Simple
Relative Motion.
4.2
Application
of Newton’s Second Law.
4.3
Energy
Method for a Particle, Conservative Forces Field, Conservation of Mechanical
Energy, Systems of Particles.
4.4
Impulse
and Momentum Relations for a Particle, Linear Momentum for a System of
Particles, Impulsive Forces, Impact, Moment of Momentum Equations for a system
of Particles.
5. Plane Motion of a Rigid Body 6 hours
5.1 Translation and Rotation of a Rigid Body, Chasles’ Theorem, Time
Derivatives of a Vector Fixed in a Moving References, Velocity and Acceleration
of Points of a Rigid Body.
5.2
Moment
of Momentum Equations, Rotation of a body of revolution about its Axis, General
Plane Motion of a Slablike Body.
5.3
Kinetic
Energy of a Rigid Body, Work Energy Relations.
5.4
Free
Vibrations, Single Degree of
Freedom, Energy Methods.
6. Stresses, Strains and Hooke’s Law 6 hours
6.1
Definition
of Stress, Stress Tensor, Stresses in Axially Loaded Bars, Analysis for Normal
and Shear Stresses.
6.2
Normal
Strain, Stress-Strain Diagrams, Hooke’s Law, Poisson’s Ratio, Thermal Strain,
Simple Problems on Axially Loaded Bars.
6.3
Constitutive
Relation for Shear, Generalized Hooke’s Law, Relations between Elastic
Constants, Thin walled Pressure vessels.
II [1, 2, 3]
7. Torsion 3
hours
7.1
Torsion
of Circular Elastic Bars, Shear Stresses and Angle of Twist.
7.2
Design
of Circular Members in Torsion, Shaft Couplings.
7.3
Close
Coiled Helical Springs, Stresses, Deflection.
II [4A, 10]
8. Beams 6
hours
8.1
Shear
Force and Bending Moment Diagrams, Differential Equations of Equilibrium.
8.2
Elastic
Flexural Formula, Its Application, Composite Beams.
8.3
Deflection
of Beams, Direct Integration, Moment Area Method.
9. Fluid Statics 3
hours
9.1
Fluids,
System and Control Volume, Stress, Strain Rate, Properties of Fluids, Concept
of Constitutive Relations.
9.2
Normal
Forces of Fluids, Pressure Measurement, Force on Submerged Bodies, Manometers,
Buoyancy, Stability, Liquids Subjected to Constant Linear Acceleration and
Constant Rotation.
III [1, 2]
10. Analysis of Flow 6
hours
10.1
Description
of Fluid Flow, Acceleration, Continuity Equation, Stream Functions, Strain
rates, Rotation, Circulation, Irrotational Flow, Potential Functions.
10.2
Basic
Laws for a System, Reynold’s Transport Theorem, Momentum Equations, Euler’s
Equation, Navier-Stokes Equation, Bernoulli’s Equation.
10.3
Flow
Measurement.
10.4
Dimensional
Analysis and Similitude.
III [3, 4, 5, 13]
11. Ideal and Viscous Flow 6
hours
11.1
Basic
Ideal Flows and Superposition.
11.2
Simple
Laminar Flows.
11.3
Introduction
to Boundary Layer Theory, Drag, Turbulence, Flow around Immersed Bodies, Flow
through Pipes.
III [6, 7, 8, 9, 10]
12. Fluid Machinery 3
hours
12.1 Classification, Analysis of Turbo-machines, Performance.
III [14]
Text Books
I.
I. H. Shames, “Engineering Mechanics: Statics and Dynamics” 4th
Ed., Prentice Hall of India, N. Delhi (1996).
II.
E.P. Popov, “Engineering Mechanics of Solids”, Prentice Hall of India,
N. Delhi (1993).
III.
K.L. Kumar, “Engineering Fluid Mechanics”, S. Chand and Co., N. Delhi
(1997).