Contents:

1. Force

1.1 Fundamentals

Mechanics

Engineering Mechanics

Difference between Scalar and Vector Quantities

Units of Measurement

Important Principles

1.2 Force

Definition

SI Unit of Force

Characteristics of Force

Effects of Force on a Body

Graphical Representation of Force

Bow’s Notation Method

1.3 Force System

System of Forces

Principal of Transmissibility of a Force

1.4 Resolution of a Force

Component of Force or Resolved Part of Force

Methods of Resolution

1.5 Moment of a Force

Definition

Classification of Moments according to Direction of Rotation

Sign Convention

Law of Moments

Varignon’s Theorem of Moments

Geometrical Meaning of Moment of Force

Couple

1.6 Composition of Force

Definition

Resultant of Force

Analytical Method

Graphical Method

2. Equilibrium

2.1 Introduction

Analytical Condition of Equilibrium

Free Body and Free Body Diagram

2.2 Lami’s Theorem

Statement

Explanation

Limitations of Lami’s Theorem

2.3 Equilibrant

Definition

Relation between Resultant and Equilibrant

2.4 Beams

Definition

Types of Beams

Types of End Supports

Classification of Loads

Reactions of Simply Supported Beam by Analytical Method

Graphical Method for Solving Equilibrium Problems

Graphical Conditions of Equilibrium

3. Friction

3.1 Introduction

Classification of Friction

Theory of Friction

Co-efficient of Friction

Angle of Friction (f)

Relation between Co-efficient of Friction (m) and Angle of Friction (f)

Angle of Repose

Relation between Angle of Friction and Angel of Repose

Cone of Friction (2f)

Laws of Friction

Advantages and Disadvantages of Friction

3.2 Equilibrium of Bodies on Level Plane, External Force Applied is Horizontal (PULL and PUSH)

Equilibrium of Bodies on Level Plane, External Force Applied is Inclined

Equilibrium of Bodies on Inclined Plane, External Force Applied is Horizontal to the Plane

3.3 Equilibrium of Bodies Inclined Plane, External Force Applied is Inclined to the Plane

Equilibrium of Bodies on Inclined Plane and External Force Applied is Parallel  to the Ground or Horizontal

3.3 Ladder Function

4. Centroid and Centre of Gravity

4.1 Introduction

4.2 Centroid

4.3 Centre of Gravity

4.4 Centroid Vs Centre of Gravity

4.5 Centroid and Areas of Basic Geometrical Figures

4.6 Centroids of Composite Geometrical Figures

Angle Section

T-Section

Symmetrical I-Section

Unsymmetrical I-Section

Channel Section

Dam Section (Retaining Wall Section)

Composite Figures

4.7 Centre of Gravity

4.8 Centre of Gravity of Simple Solid

4.9 Centre of Gravity of Composite Solid

5. Simple Machine

5.1 Introduction

Basic Concepts 

Relation between M. A., V. R., and h of a Lifting Machine

Ideal Effort

Ideal Load

Friction in Machines

5.2 Law of Machine

Maximum Mechanical Advantage of a Machine

Maximum Efficiency of a Machine

Reversibility of a Machine

Self Locking Machine (Non-Reversible Machine)

5.3 Study of Simple Machine

Simple Axle and Wheel

Differential Axle and Wheel

Pulley Blocks

Geared Pulley Block

Weston’s Differential Pulley Block

Simple Screw Jack

Single Purchase Crab

Double Purchase Crab

Worm and Worm Wheel