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Mechanical Engineering Topics



CHAPTER 1. Introduction to Statics

1.1   Introduction

1.2   Idealizations of Mechanics

1.3   Laws of Mechanics

1.4   The Law of Parallelogram

1.5   Types of Forces

1.6   Coplanar Collinear

1.7   Coplanar Concurrent

1.8   Coplanar Parallel

1.9   Coplanar Non-Concurrent and Non-Parallel

1.10   Scalar Quantity

1.11   Vector Quantity

1.12    Free Vector

1.13   Sliding Vector

114    Fixed Vector

1.15    Law of Triangle of Forces

1.16    Lami’s Theorem

Solved Example


CHAPTER 2. Introduction to Vector Algebra

2.1    Introduction

2.2    Magnitude of a Vector

2.3    Product of Vector A by scalar m

2.4    Addition of Vectors

2.5    Subtraction of Vectors

2.6    Addition of Vectors Using Polygon Method

2.7    Resolution of Vectors

2.8    Unit Vectors

2.9    Scalar or Dot Product of Two Vectors

2.10   Cross Product of Two Vectors

2.11   Scalar Triple Product

Solved Examples 


CHAPTER 3. Two and Three Dimensional Force Systems

3.1   Two Dimensional Force Systems

3.2   Moment

3.3   Varignon’s Theorem

3.4   Types of Coplanar Parallel Forces

3.5   Resultant of Two Coplanar Parallel Forces

3.6   Couple

3.7   Resolution of a Force into a Force and a Couple

3.8   Resultant of a Number of Forces

3.9   Three Dimensional Force Systems

3.10   Three Dimensional Moment and Couple Systems

3.11   Wrench Resultant

Solved Examples


CHAPTER 4. Concept of Equilibrium of Rigid Body

4.1   Introduction

4.2   Equilibrium in Two Dimensions

4.3   Free Body Diagram

4.4   Examples of Free Body Diagram :

(All necessary dimensions will be given)

4.5   Types of Loading

4.6   Equilibrium in Three Dimensions

4.7   Analysis of Structure

Solved Examples


CHAPTER 5. Friction

5.1   Introduction

5.2   Coefficient of Friction

5.3   Angle of Friction

5.4   Cone of Friction

5.5   Static Friction and Kinetic Friction

5.6   Coulomb Friction

5.7   Angle of Repose

5.8   Wedge Friction


CHAPTER 6. Distributed Forces (Centroid, Centre of Gravity and Centre of Mass)

6.1   Introduction

6.2   Centre of Gravity and Centre of Mass

6.3   Centroids of Lines

6.4   Centroids of Areas

6.5   Centroid of Volumes

6.6   Centroidal Coordinate of Elemental Area

6.7   Centroidal Coordinate of Elemental Volume

6.8   Coordinates of Centre of Mass of Composite Bodies and Figures


CHAPTER 7. Moment of Inertia of Plane Figures (Second Moment of Area)

7.1  Area Moments of Inertia in Rectangular and Polar Coordinates

7.2   Radius of Gyration

7.3   Transfer of Rectangular Axes

7.4   Moment of Inertia of Composite Plane Figures


CHAPTER 8. Mass Moments of Inertia (Second Moment of Mass)

8.1   Introduction

8.2   Radius of Gyration

8.3   Transfer of Axis

8.4   Mass Moment of Inertia about x, y, z Axis


CHAPTER 9. Virtual Work

9.1   Work Done by Force

9.2   Sign Convention of Mechanical Work

9.3   Unit of Work

9.4   The Work Done by a Couple

9.5   Virtual Work

9.6   System of Connected Rigid Bodies



CHAPTER 1. Kinematics of Particles (Rectilinear Plane Motion)

1.1   Introduction

1.2   Plane Motion

1.3   Rectilinear Motion

1.4   Analysis at Constant Acceleration (Uniform Acceleration)

1.5   Analysis for Non-Uniform I Variable Acceleration

1.6   Graphical Representation (x, y) Plane Graph

1.7   Distance Travelled in the Second (in Constant Acceleration)

1.8   Acceleration Due to Gravity


CHAPTER 2  Plane Curvilinear Motion of Particles

2.1   Position Vector, Velocity and Acceleration

2.2   Rectangular Components of Velocity and Acceleration

2.3   Projectile Motion

2.4   Tangential and Normal Components of Acceleration

2.5   Radial and Transverse Components

2.6   Special Case : Circular Motion

2.7   Relative Motion


CHAPTER 3. Plane Kinematics of Rigid Bodies

3.1   Introduction

3.2   Translation

3.3   Rotation About a Fixed Axis


CHAPTER 4. Combined Motion of Translation and Rotation (General Plane Motion)

4.1   Introduction

4.2   Instantaneous Centre of Rotation Method

4.3   Motion of Piston and Crank of a Reciprocating Engine

4.4   Four Bar Mechanism


CHAPTER 5. Kinetics of Particles

5.1   Rectilinear Motion


CHAPTER 6. Work and Energy

6.1   Work

6.2   Kinetic Energy

6.3   Power

6.4   Efficiency

6.5   Potential Energy

6.6   Modified Work Energy Equation


CHAPTER 7. Principle of Linear Impulse and Momentum

7.1   Linear Momentum

7.2   Linear Impulse

7.3   Conservation of Linear Momentum

7.4   Direct Collision of Two Bodies

7.5   Oblique Collision of Two Bodies

7.6   Coefficient of Restitution


CHAPTER 8. Plane Kinetics of Rigid Bodies

8.1   Force, Mass, and Acceleration

8.2   x-y Plane Motion Equations

8.3   Translation

8.4   Kinetic Energy in Translation

8.5   D’ Alembert’s Principle



CHAPTER 1. Simple Stress

1.1   Introduction

1.2   Analysis of Internal Forces

1.3   Simple Stress


CHAPTER 2. Simple Strain

2.1   Normal Strain

2.2   Stress-Strain Diagram for Ductile Material (Mild Steel)

2.3   Axial Deformation

2.4   Deformation of a Bar due to stress developed

2.5   Poisson’s Ratio

2.6   Shear Strain

2.7   Shear Stress

2.8   Volumetric Strain

2.9   Principle of Super Position

2.10   Some Definitions

2.11   Working Stress and Factor of Safety


CHAPTER 3. Statically Indeterminate System and Thermal Stress

3.1   Statically Indeterminate System

3.2   Thermal Stresses

3.3   Thermal Stresses in Composite Structure

3.4   Relationship Between E and G

3.5   Relationship Between E and K

3.6   Relationship Between E, G, and K



CHAPTER 1. Introduction


1.1 Introduction to Thermodynamics

1.2 Macroscopic and Microscopic Point of View

1.3 Concepts of Systems

1.4 Control Volume and Control Surface

1.5 Homogeneous and Heterogeneous Systems

1.6 Property and State

1.7 Thermodynamic Equilibrium

1.8 Processes and Cycles

1.9 Quasi-Static Process

1.10 Reversible and Irreversible Processes


CHAPTER 2.Zeroth Law of Thermodynamics and Temperature


2.1 Statement of Zeroth Law of Thermodynamics with Explanation

2.2 Temperature and Its Measurement

2.3 Ideal Gas


CHAPTER3. Heat and Work


3.1 Introduction

3.2 Work

3.3 Work Done in a Quasi-Static Path

3.4 Heat

3.5 Heat Transfer- A Path Function


CHAPTER4. First Law of Thermodynamics (Control Mass/Closed System)


4.1 First Law of Thermodynamics for a Control Mass (Closed System) Undergoing a Cycle

4.2 First Law of Thermodynamics for a Change of State of a Control Mass (Closed System)

4.3 Different Types of Stored Energy

4.4 The Constant-Volume Specific Heat

4.5 Enthalpy

4.6 The Constant-Pressure Specific Heat

4.7 Specific Heats of Solids and Liquids

4.8 Energy of Isolated System

4.9 Perpetual Motion Machine of the First Kind (PMM-1)


CHAPTER 5. First Law of Thermodynamics (Control Volume/Open System)


5.1 Open System and Control Volume

5.2 Equation for Conservation of Mass

5.3 Equation for Conservation of Energy

5.4 Steady-State Steady Flow Energy Equation

5.5 Examples of Steady Flow Processes


CHAPTER 6. Second Law of Thermodynamics


6.1 Conversion of Work into Heat

6.2 Conversion of Heat into Work

6.3 Kelvin-Plank Statement of Second Law of Thermodynamics

6.4 Clausius’ Statement of the Second Law

6.5 Refrigerator and Heat Pump

6.6 Equivalence of Kelvin-Plank and Clausius Statements


CHAPTER 7. Camot Cycle

7.1 Introduction of Carnot Cycle

7.2 Working of the Carnot Cycle

7.3 Efficiency of Carnot Cycle

7.4 Carnot’s Theorem

7.5 Absolute Thermodynamic Temperature Scale or Kelvin Scale

7.6 Absolute Zero on Thermodynamic Temperature Scale


CHAPTER 8. Clausius Inequality, Entropy and Irreversibility


8.1 Introduction

8.2 Reversible Adiabatic Paths do not Intersect

8.3 Clausius’ Theorem

8.4 Entropy

8.5 Entropy-Temperature Plot

8.6 Clausius’s Inequality

8.7 Entropy Change in an Irreversible Process

8.8 Principle of Increase of Entropy

8.9 The Degree of Irreversibility of an Irreversible Process

8.10 Summary of First and Second Law by Clausius

8.11 Practical Use of Entropy Principle

8.12 First Law and Second Law Combined

8.13 Analysis of Thermodynamic Equations


CHAPTER 9. Properties of Gases (Real & Ideal)


9.1 Ideal Gas or Perfect Gas

9.2 Specific Heats, Internal Energy and Enthalpy of·an Ideal Gas

9.3 Entropy Change of an Ideal Gas

9.4 Reversible Adiabatic Process

9.5 P – v and T – s Diagrams for Pv” = C

9.6 Equations of State

9.7 Law of Corresponding States


CHAPTER 10. Air Standard Cycles


10.1 Introduction

10.2 Internal Combustion Engine Terminology

10.3 Otto Cycle

10.4 Diesel Cycle

10.5 Operating Principle of Four Stroke Petrol Engine (S.I. Engine)

10.6 Operating Principle of Four Stroke Diesel Engine (C.I. Engine)

10.7 Performance of I.C. Engines


CHAPTER 11. Properties of Pure Substances


11.1 Introduction

11.2 Heating of Ice

11.3 Heating of Pure Substances Other Than Ice

11.4 Temperature-Enthalpy Graph During Formation of Steam

11.5 Temperature and Specific Entropy Diagram for Steam

11.6 Thermodynamic Properties and Their Units

11.7 Types of Steam Table

11.8 Mollier Diagram (h-s Axis)

11.9 Steam Power Plant (Simple Rankine Cycle)


CHAPTER 12. Vapour Compression Refrigeration Cycle


12.1 Introduction

12.2 Simple Vapour Compression System

12.3 Presentation of Processes on P-h Diagram




CHAPTER 1. Properties of Fluids


1.1 Introduction

1.2 Definition of Fluid

1.3 Properties of Fluids

1.4 Classification of Fluids

1.5 Kinematic Viscosity

1.6 Variation of Dynamic Viscosity with Temperature

1.7 Compressible Fluids

1.8 Incompressible Fluids

1.9 Concept of Continuum


CHAPTER 2. Fluid Statics


2.1 Introduction

2.2 Fluid Pressure at a Point

2.3 Pascal’s Law

2.4 Pressure-Density-Height Relationship

2.5 Atmospheric, Gauge, Vacuum and Absolute Pressure

2.6 Static (Pg) and Total Pressure (P,)


CHAPTER 3. Measurement of Pressure


3.1  Manometers


 CHAPTER4. Fluid Kinematics


4.1 Introduction

4.2 Lagrangian Method for Describing Fluid Motion

4.3 Eulerian Method for Describing Fluid Motion

4.4 Lagrangian Relationships ·From Eulerian Equations

4.5 Steady and Unsteady Flows

4.6 Uniform and Non-Uniform Flows

4.7 Stream Line

4.8 Path Lines

4.9 Streak Lines

4.10 Acceleration of a Fluid Particle

4.11 Continuity Equation

4.12 Continuity Equation in Three Dimensions in a Differential Form

4.13 Continuity Equation in a Cylindrical Polar Coordinate System


CHAPTER 5. Dynamics of Ideal Fluids


5.1 Bernoulli’s Equation

5.2 Total Head, Velocity Head, Pressure Head, Datum or Potential Head, Assumptions Made for Deriving Bernoulli’s Equation

5.3 Applications of Bernoulli’s Equation


Book 3


1. Basics and Statics of Particles




2. Equilibrium of Rigid Bodies




3. Friction




4. Properties of Surfaces and Solids




5. Dynamics of Particles