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.
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