30-01-2013, 04:54 PM
FIRST YEAR FIRST SEMESTER STUDY MATERIAL
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SYLLABUS
MODULE 1
Importance of Mechanics in engineering; Introduction to Statics; Concept of Particle and
Rigid Body; Types of forces: collinear, concurrent, parallel, concentrated, distributed;
Vector and scalar quantities; Force is a vector; Transmissibility of a force (sliding vector).
Introduction to Vector Algebra; Parallelogram law; Addition and subtraction of vectors;
Lami’s theorem; free vector; Bound vector; Representation of forces in terms of i, j, k; Cross
product and Dot product and their applications.
Two dimensional force system; Resolution of forces; Moment; Varignon’s theorem; Couple;
Resolution of a coplanar force by its equivalent force-couple system; Resultant of forces.
MODULE 2
Concept and Equilibrium of forces in two dimensions; Free body concept and diagram;
Equations of equilibrium.
Concept of Friction; Laws of Coulomb friction; Angle of Repose; Coefficient of friction
MODULE 3
Distributed Force: Centroid and Centre of Gravity; Centroid of a triangle, circular sector,
quadrilateral, composite areas consisting of above figures.
Moments of inertia: MI of plane figure with respect to an axis in its plane, MI of plane
figure with respect to an axis perpendicular to the plane of the figure; Parallel axis theorem;
Mass moment of inertia of symmetrical bodies’ e.g. cylinder, sphere, cone.
Concept of simple stresses and strains: Normal stress, Shear stress, bearing stress, Normal
strain, Shearing strain; Hooke’s law; Poisson’s ratio; Stress-strain diagram of ductile and
brittle materials; Elastic limit; Ultimate stress; Yielding; Modulus of elasticity; Factor of safety.
MODULE 4
Introduction to Dynamics: Kinematics and Kinetics; Newton’s laws of motion; Law of
gravitation & acceleration due to gravity; Rectilinear motion of particles; determination
of position, velocity and acceleration under uniform and non-uniformly accelerated
rectilinear motion; construction of x-t, v-t and a-t graphs.
Plane curvilinear motion of particles: Rectangular components (Projectile motion); Normal and
tangential components (circular motion).
Kinetics of particles: Newton’s second law; Equation of motion; D.Alembert’s principle
and free body diagram; Principle of work and energy; Principle of conservation of energy;
Power and efficiency.