Basic Concepts : Objectives of Engineering Analysis and Design, Idealization of Engineering Problems, Simplification of real 3-D problems to 2-D and 1-D domain, Basis of Assumptions, types of supports, types of load, free body diagram, Laws of Motion, Fundamental principles, Resolution and composition of a forces, Resultant, couple, moment, Varignon's theorem, force systems, Centroid of composite shapes, moment of inertia of planer sections and radius of gyration. (Chapters-1,2,3,4,5)
Equilibrium : Static equilibrium, analytical and graphical conditions of equilibrium, Lami's theorem, equilibrium of coplanar concurrent forces, coplanar non concurrent forces, parallel forces, beams reactions, Simple trusses (plane and space), method of joints for plane trusses, method of sections for plane trusses.
Friction : Coulomb law, friction angles, wedge friction, sliding friction and rolling resistance. (Chapters-5,6,7)
Kinematics : Types of motions, kinematics of particles, rectilinear motion, constant and variable acceleration, relative motion, motion under gravity, study of motion diagrams, angular motion, tangential and radial acceleration, Projectile motion, kinematics of rigid bodies, concept of instantaneous center of rotation, concept of relative velocity. (Chapter-8)
Kinetics : Mass moment of inertia, kinetics of particle, D'Alembert's principle : applications in linear motion, kinetics of rigid bodies, applications in translation, applications in fixed axis rotation. (Chapter-9)
Work, Power, Energy : Principle of virtual work, virtual displacements for particle and rigid bodies, work done by a force, spring, potential energy, kinetic energy of linear motion and rotation, work energy equation, conservation of energy, power, impulse momentum principle, collision of elastic bodies. (Chapter-10)