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ME2151 ENGINEERING MECHANICS
How to study this subject
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 13
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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