Engineering Mechanics

Introduction to Engineering Mechanics: Rigid Body equilibrium; System of Forces: Coplanar Concurrent Forces, Resultant of forces, Moment of Forces and couples with applications; Free body diagrams, Equations of Equilibrium of Coplanar Systems. Friction: Types of friction, Limiting friction, Laws of Friction, Static and Dynamic Friction; Motion of Bodies, wedge friction, screw jack & differential screw jack;

Centroid and Centre of Gravity, Centroid of simple figures from first principle, centroid of composite sections; Centre of Gravity and its implications; Area moment of inertia Definition, Moment of inertia of plane sections from first principles, Theorems of moment of inertia, Moment of inertia of standard sections and composite sections; Mass moment inertia of circular plate, Cylinder, Cone, Sphere, Hook.

Basic Structural Analysis, Equilibrium conditions in three dimensions; Analysis of simple trusses in 2- dimension by method of sections & method of joints, Zero force members. Analysis of simple beams(Cantilever and Simply supported) for support reactions, shear force and bending moment at a section due to loading (Point load, udl and combination of both)

Review of particle dynamics- Rectilinear motion; Plane curvilinear motion (rectangular, path, and polar coordinates). Work-kinetic energy, power, potential energy. Impulse-momentum (linear, angular); Impact (Direct and oblique).

Introduction to Kinetics of Rigid Bodies, Basic terms, general principles in dynamics; Types of motion, Instantaneous centre of rotation in plane motion and simple problems; D’Alembert’s principle and its applications in plane motion and connected bodies; Work energy principle and its application in plane motion of connected bodies; Kinetics of rigid body rotation. Virtual Work and Energy Method- Virtual displacements, principle of virtual work for particle and ideal system of rigid bodies.