Verify Account

SYLLABUS

Unit-1

INTRODUCTION TO ENGINEERING MECHANICS: Composition and resolution of forces, parallelogram law, principle of transmissibility, types of force systems - concurrent and concurrent coplanar forces resultant of coplanar force systems, couple, moment of force Varignon’s theorem, concept of free body diagrams, concept of equilibrium of coplanar force systems. FRICTION: Laws of friction, types of friction, equilibrium of force systems involving frictional forces, wedge friction. Free body diagrams involving frictional forces.

Unit-2

ANALYSIS OF STRUCTURES: Introduction to plane trusses, analysis of plane trusses by method of joints and method of sections. VIRTUAL WORK: Equilibrium of ideal systems, work done by a force, work done by a couple, principle of virtual work.

Unit-3

PROPERTIES OF SURFACES AND VOLUMES: Centroid and center of gravity, derivation of centroids from first moment of area, centroids of composite sections, center of gravity of common volumes - cylinder, cone, sphere, theorem of Pappus-Guldinus. MOMENT OF INERTIA: Area moment of inertia of plane and composite shapes, parallel axis theorem, perpendicular axis theorem, polar moment of inertia, mass moment of inertia of common volumes - thin plates, thin rod, cylinder, cone, sphere, rectangular prism, radius of gyration.

Unit-4

KINEMATICS: Equations of motion for rigid bodies, constant and variable acceleration, rectilinear and curvilinear motion, motion under gravity - projectile motion, use of rectangular coordinates, tangential and normal coordinates, radius of curvature, rotation of a rigid body about a fixed axis, introduction to plane motion.

Unit-5

KINETICS: Principles of dynamics - Newton’s Laws of motion, D'Alembert’s principle in rectilinear translation, principle of work and energy. IDEAL SYSTEMS: Principle of conservation of energy, concept of power, conservation of linear and angular momentum, principle of momentum and impulse, impact - types of impac