Engineering Mechanics

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SYLLABUS

 

EST-100: ENGINEERING MECHANICS

Module 1

Introduction to Engineering Mechanics-Statics-Basic Principles of Statics-Parallelogram Law, Equilibrium Law, Principles of Superposition and Transmissibility, Law of Action and Reaction(Review) Free Body Diagrams.

 

Concurrent Coplanar Forces-Composition and Resolution of Forces-Resultant and Equilibrium Equations – Methods of Projections – Methods of Moments – Varignon’s Theorem of Moments.

 

Module 2

Friction – Sliding Friction - Coulomb’s Laws of Friction – Analysis of Single Bodies –Wedges, Ladder Analysis of Connected Bodies.

 

Parallel Coplanar Forces – Couple - Resultant of Parallel Forces – Centre of Parallel Forces – Equilibrium of Parallel Forces – Simple beam Subject to Concentrated Vertical Loads. General Coplanar Force System - Resultant and Equilibrium Equations.

 

Module 3

Centroid of Composite Areas – Moment of Inertia-Parallel Axis and Perpendicular Axis Theorems.

 

Polar moment of Inertia, Radius of Gyration, Mass Moment of Inertia-Ring, Cylinder and Disc.

                            

Theorem of Pappus Guldinus (demonstration only)

 

Forces in space - Vectorial Representation of Forces, Moments and Couples –Resultant and Equilibrium Equations – Concurrent Forces in Space (simple problems only).

 

Module 4

Dynamics – Rectilinear Translation - Equations of Kinematics (review) Kinetics – Equation of Motion – D’Alembert’s Principle. – Motion on Horizontal and Inclined Surfaces, Motion of Connected Bodies. Impulse Momentum Equation and Work Energy Equation (Concepts only).

 

Curvilinear Translation - Equations of Kinematics – Projectile Motion(review), Kinetics – Equation of Motion. Moment of Momentum and Work Energy Equation (Concepts only).

 

Module 5

Rotation – Kinematics of Rotation- Equation of Motion for a Rigid Body Rotating About a Fixed Axis – Rotation Under a Constant Moment.

 

Plane Motion of Rigid Body – Instantaneous Centre of Rotation (Concept only).

 

Simple Harmonic Motion – Free Vibration –Degree of Freedom- Undamped Free Vibration of Spring Mass System-Effect of Damping (Concept Only)

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