UNIT I BASICS & STATICS OF PARTICLES
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
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
UNIT III PROPERTIES OF SURFACES AND SOLIDS
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
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
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).
