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ME2151 ENGINEERING MECHANICS  SYLLABUS 3 1 0 4
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, (1997).
36
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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