Engineering Mechanics

Unit 1.0: Fundamentals of Mechanics

Overview of engineering mechanics • Vector and scalar quantities • Units of physical quantities • Dimensions of physical quantities • Units and Dimensions • Dimensional analysis

Unit 2.0: Force Systems and Equilibrium

Force Systems Basic Concepts • Particle Equilibrium in 2-D & 3-D • Rigid Body Equilibrium • System of Forces: coplanar Concurrent Forces • Components in Space • Resultant and Moment of Forces and its Application • Couples and Resultant of Force System • Free Body Diagrams • Equations of Equilibrium of Coplanar Systems and Spatial Systems

Unit 3.0: Friction and Structural Analysis

Types of Friction: Limiting, Static, and Dynamic • Laws of Friction • Motion of Bodies and Wedge Friction • Equilibrium in Three Dimensions • Method of Sections and Method of Joints • Tension and Compression in Members • Simple Trusses • Zero Force Members • Beams, Types of Beams • Frames and Machines

Unit 4.0: Centroid, Centre of Gravity, and Moment of Inertia

Centroid of Simple Figures from First Principle • Centroid of Composite Sections • Centre of Gravity and Its Implications • Area Moment of Inertia: Definition and Theorems • Moment of Inertia of Plane Sections, Standard Sections, and Composite Sections • Mass Moment Inertia of Circular Plate, Cylinder, Cone, Sphere, Hook

Unit 5.0: Virtual Work, Energy Method, and Particle Dynamics

Virtual Displacements and Principle of Virtual Work • Degrees of Freedom and Active Force Diagram • Conservative Forces and Potential Energy • Energy Equation for Equilibrium • Applications of Energy Method for Equilibrium • Stability of Equilibrium • Review of Particle Dynamics: Rectilinear and Plane Curvilinear Motion • Relative and Constrained Motion • Newton's 2nd Law • Work-Kinetic Energy, Power, Potential Energy • Impulse-Momentum and Impact