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, 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
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, (2007).
REFERENCES:
- Rajasekaran, S,
Sankarasubramanian, G., “Fundamentals of Engineering Mechanics”, Vikas
Publishing House Pvt. Ltd., (2000).
- Hibbeller, R.C.,
“Engineering Mechanics”, Vol. 1 Statics, Vol. 2 Dynamics, Pearson
Education Asia Pvt. Ltd., (2000).
- Palanichamy, M.S.,
Nagam, S., “Engineering Mechanics – Statics & Dynamics”, Tata
McGraw-Hill, (2001).
- Irving H. Shames,
“Engineering Mechanics – Statics and Dynamics”, IV Edition – Pearson
Education Asia Pvt. Ltd., (2003).
- Ashok Gupta,
“Interactive Engineering Mechanics – Statics – A Virtual Tutor (CDROM)”,
Pearson Education
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