Tuesday, June 12, 2012
ME2151 ENGINEERING MECHANICS Syllabus for Anna University Second semester B.E | Common to All Branches
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ME2151
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ENGINEERING MECHANICS
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L T P C
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OBJECTIVE
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3
1 0 4
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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, he should understand the principle of work and energy. He should be
able to comprehend the effect of friction on equilibrium. He should be able to
understand the laws of motion, the kinematics of motion and the
interrelationship. He should also be able to write the dynamic equilibrium equation.
All these should be achieved both conceptually and through solved examples.
UNIT I BASICS & STATICS OF PARTICLES 12
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.
UNIT II EQUILIBRIUM OF RIGID BODIES 12
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
12
UNIT III PROPERTIES OF SURFACES AND SOLIDS 12
Determination of Areas and Volumes –
First moment of area and the Centroid of sections – Rectangle, circle, triangle
from integration – T section, I section, - Angle section, Hollow section by
using standard formula – second and product moments of plane area – Rectangle,
triangle, circle from integration – T section, I section, Angle section, Hollow
section by using standard formula – Parallel axis theorem and perpendicular
axis theorem – Polar moment of inertia – Principal moments of inertia of plane
areas – Principal axes of inertia – Mass moment of inertia – Derivation of mass
moment of inertia for rectangular section, prism, sphere from first principle –
Relation to area moments of inertia.
UNIT
IV DYNAMICS OF PARTICLES 12
Displacements,
Velocity and acceleration, their relationship – Relative motion – Curvilinear
motion – Newton’s law – Work Energy Equation of particles – Impulse and
Momentum – Impact of elastic bodies.
UNIT
V FRICTION AND ELEMENTS OF RIGID BODY
DYNAMICS 12
Frictional
force – Laws of Coloumb friction – simple contact friction – Rolling resistance
– Belt friction.
Translation and Rotation of Rigid
Bodies – Velocity and acceleration – General Plane motion.
TOTAL: 60 PERIODS
TEXT BOOK:
1. Beer, F.P and Johnson Jr. E.R. “Vector
Mechanics for Engineers”, Vol. 1 Statics and Vol. 2 Dynamics, McGraw-Hill
International Edition, (1997).
REFERENCES:
1. Rajasekaran, S, Sankarasubramanian,
G., “Fundamentals of Engineering Mechanics”, Vikas Publishing House Pvt. Ltd.,
(2000).
2. Hibbeller, R.C., “Engineering
Mechanics”, Vol. 1 Statics, Vol. 2 Dynamics, Pearson Education Asia Pvt. Ltd.,
(2000).
3. Palanichamy, M.S., Nagam, S.,
“Engineering Mechanics – Statics & Dynamics”, Tata McGraw-Hill, (2001).
4. Irving H. Shames, “Engineering
Mechanics – Statics and Dynamics”, IV Edition – Pearson Education Asia Pvt.
Ltd., (2003).
5. Ashok Gupta, “Interactive Engineering
Mechanics – Statics – A Virtual Tutor (CDROM)”, Pearson Education Asia Pvt.,
Ltd., (2002).
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