ANNA UNIVERSITY AFFLICATED COLLEGES- ENGINEERING MECHANICS SYLLABUS FOR SECOND SEMESTER

5 a ENGINEERING MECHANICS 3 1 0 100
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).
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).