# ES-101 * ENGINEERING MECHANICS*

Mechanics

Nov 14, 2013 (4 years and 7 months ago)

105 views

ES
-
101

* ENGINEERING MECHANICS*

L T P

3 1 O

FORCES AND SYSTEM OF FORCES:
-

Introduction, Definitions, Basic concepts,
Force, Types of forces, System of Forces, Equilibrium of forces, Resultant, Action and
Reaction, Co
-
plane
r forces
-
law of parallelogram of forces, Triangle law of forces,
Polygon law of forces, Lami’s theorem, Composition and Resolution of forces, Parallel
forces
-

Resultant of two parallel forces, Couples, Moment of force, Varignon’s theorem
-
applications, Gen
eral conditions of equilibrium of forces, free body diagrams.

CENTRE OF GRAVITY & MOMENT OF INERTIA:
-

Definitions
-
Centre of
Gravity
-
Lamina, Centroids of Laminae of various shapes: Triangle, Circle, Semi circle,
Trapezium, Sphere, Hemisphere, Builtup secti
ons, Moment of inertia, Radius of
Gyration, Parallel and perpendicular axis theorem, Product 'of ~i1ertia of an area,
Transfer formula.

LIFTING MACHlNES:
-

Definitions, Basic Terms, Definition of Machine, Idle
Machine, Practical Machine, The law of Machin
e, Reversible and, Irreversible Machine,
Efficiency of machine, The Simple Pulley, Differential Pulley, Wheel and Axle, Worm
and Worm Wheel, Single and double purchase crab winch, Screw Jack, Maximum
efficiency condition for a screw jack.

FRAMES AND TRUSS
ES:
-

Introduction, Perfect Frame, Redundant Frame, Reactions
of Supports, Analysis of a Truss, Determination of Forces in various members of a Truss
by Method of joints, Method of Sections and Graphical Method~ Maxwell diagrams,
Distributed forces in a pl
ane, Flexible suspension cables.

RECTILINEAR AND CURVILINEAR TRANSLATION:
-

Kinematics of rectilinear
motion
-
Principles of dynamics
-
Differential equation of rectilinear motion
-
Motion of a
particle acted upon by a constant force
-
Force as a function of t
ime
-
Force proportional to
displacement: free vibrations
-
D' Alembert's principle
-
Momentum and impulse
-
Work,
and energy
-

Ideal systems: conservation of energy
-
Impact. Kinematics of curvilinear
motion
-
., Differential equations of curvilinear motion
-
.Mo
tion of a projectile
-

D'
Alembert's principle in a curvilinear motion
-
Moment of momentum
-
Work and energy in
a curvilinear motion.

ROTATION OF A RIGID BODY ABOUT A FIXED AXIS:
-

Kinematics of rotation
-
Equation of motion for a rigid body rotating about a
fixed axis
-
Rotation under the action
of a constant moment
-
Torsional vibration
-
The compound pendulum

General case of
moment proportional to angle of rotation
-
D' Alembert's principle in rotation, Resultant
inertia force in rotation,
-
The principle of an
gular momentum in rotation
-
Energy
equation for rotating bodies
-
'Gyroscopes.

PLAIN MOTION OF A RIGID BODY AND RELATIVE MOTION:
-

Kinematics of
plain motion
-
Instantaneous center
-

Equations of plain motion
-
D' Alembert’s principle
in plain motion
-
Princip
le of angular momentum in plain motion
-
Energy equation for
plain motion. Kinematics of relative motion
--
Equations of relative motion
-
D'
Alembert's principle in relative motion.

VIBRATIONS:
-

Introduction, Definitions of Free, Damped and Forced vibratio
ns,
Simple Harmonic Motion
-
Definition and Formulas ~ The Simple pendulum, Gain or
Loss of oscillations due to change in g or I, oscillations gained or lost due to change in
position, Oscillations of Springs, Springs in Series, Springs in Parallel.

TEXT B
OOKS:
-

1. Engineering Mechanics

:

Timoshenko & Young, Mc Graw Hill

2. Applied Mechanics

:

I B Prasad, Khanna Publishers. New Delhi.

3. Engineering Mechanics

:

Bhavikatti & Rajshekhrappa.

4. Engineering Mechanics

:

D. P. Mandal, SK Kataria & sons, Del
hi.

REFERENCE BOOKS:
-

1. Engineering Mechanics

:

Meriam.

2. Engineering Mechanics

:

Beer p Johnson. i .

3. Engineering Mechnnics

:

E. J. Hearn. ;

4. Schaum Series Publications

5. Engineering Mechanics

:

R. K. Bansal, Luxmi Publications. Delhi.

6. Engi
neering Mechanics

:

Basu
-
Tata Mc Graw Hill.