09CM201
ENGINEERING MECHANICS
OBJECTIVE:
·
At the end of this course the student
should be able to understand the vectorial and scalar representation of forces
and moments, static equilibrium of particles and rigid bodies both in two
dimensions and also in three dimensions.
·
Further, Student should understand the
principle of work and energy. Student should be able to comprehend the effect
of friction on equilibrium.
·
Student should be able to understand
the laws of motion, the kinematics of motion and the interrelationship. Student
should also be able to write the dynamic equilibrium equation. All these should
be achieved both conceptually and through solved examples.
1. BASICS & STATICS OF
PARTICLES
Introduction –
Units and Dimensions – Laws of Mechanics – Lame’s theorem, Parallelogram and
triangular Law of forces – Vectors – Vectorial representation of forces and
moments – Vector operations: additions, subtraction, dot product, cross product
– Coplanar Forces – Resolution and Composition of forces – Equilibrium of a
particle – Forces in space – Equilibrium of a particle in space – Equivalent
systems of forces – Principle of transmissibility – Single equivalent force.
2.
EQUILIBRIUM OF RIGID BODIES
Free body
diagram – Types of supports and their reactions – requirements of stable
equilibrium – Moments and Couples – Moment of a force about a point and about
an axis – Vectorial representation of moments and couples – Scalar components
of a moment – Varignon’s theorem – Equilibrium of Rigid bodies in two
dimensions – Equilibrium of Rigid bodies in three dimensions – Examples
3.
PROPERTIES OF SURFACES
Determination
of Areas and Volumes – Theorms of Pappus - Guildinus – First moment of area and the Centroid of
sections – second and product moments of plane area of various
sections–Parallel axis theorem and perpendicular axis theorem - Polar moment of
inertia – Principal moments of inertia of plane areas – Principal axes of inertia
4.
FRICTION
Frictional
force – Laws of Coulomb friction – simple contact friction – Rolling resistance
– Belt friction.
5.
KINEMATICS AND KINETICS OF PARTICLES
Equations of
motion- Rectilinear motion-curvelinear motion- Relative motion- D’Alembert’s
Principle-work-Energy equation-Conservative forces and principle of
conservation of energy-Impulse- momentum- Impact- Direct central impact and
oblique central impact.
6.
KINEMATICS AND KINETICS OF RIGID BODIES
Plane motion-
Absolute motion- Relative motion- translating axes and rotating axes- work and
energy- impulse and momentum
TEXT
BOOKS
1. Rajasekaran S and
Sankarasubramanian G., “Fundamentals of Engineering Mechanics”,
Vikas Publishing House Pvt. Ltd., 2000.
2. Palanichamy M.S. and Nagam S., “Engineering
Mechanics – Statics &
Dynamics”, Tata McGraw-Hill, 2001.
REFERENCES
1. Bansal R.K., “Engineering Mechanics”, Laxmi Publications (P) Ltd.,
2007.
2. Kumar K.L.,
“Engineering Mechanic”, Tata McGraw-Hill Publishing Company
Limited, New Delhi, 1998.
3. Beer F.P and
Johnson Jr. E.R, “Vector Mechanics for Engineers”, Vol. 1 Statics
and Vol. 2
Dynamics, McGraw-Hill International Edition, 1997.
4. Hibbeller R.C., “Engineering
Mechanics”, Vol. 1 Statics, Vol. 2 Dynamics, Pearson
Education Asia Pvt. Ltd., 2000.
5. Irving H. Shames, “Engineering
Mechanics – Statics and Dynamics,” 4th Edition,
Pearson Education Asia Pvt. Ltd., 2003.
6. Ashok Gupta, “Interactive
Engineering Mechanics – Statics – A Virtual Tutor”,
(CDROM), Pearson Education Asia
Pvt., Ltd., 2002.
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