Topic outline

  • General

  • CHAPTER 1 INTRODUCTION TO MECHANICS

    ·         What is Mechanics?

    ·         Fundamental Concepts and Principles


  • Chapter 2 STATICS OF PARTICLE -FORCES IN A PLANE

       Force on a Particle - Resultant of 2 Forces

       Vectors and Addition of Vectors

       Resultant of Concurrent Forces

       Resolution of a Force into its Components

       Rectangular Components of a Force. Resultant of Forces by  summing the components

        Equilibrium of a Particle. Free-Body Diagram


  • CHAPTER 3 STATICS OF RIGID BODIES IN TWO DIMENSIONS

    a)Equivalent Systems of Forces

    ·   External and Internal Forces

    ·   Principle of Transmissibility. Equivalent Forces

    ·   Two - Dimensional Structures

    ·   Moment of a Force about a Point

    ·   Varignon's Theorem

    ·   Moment of a couple

    ·   Equivalent Couples

    ·   Addition of Couples

    ·   Resolution of a Given Force into a Force Acting at a Given Point and a Couple

    ·   Reduction of a System of Coplanar Forces to One Force and One Couple.

    ·   Resultant of a System of Coplanar Forces Equivalent Systems of Coplanar Forces

     

    b)Statics of Rigid Bodies in Two Dimensions : Equilibrium of Rigid Bodies

    ·   Rigid Body in Equilibrium

    ·   Free Body Diagram

    ·   Reactions at Supports and Connections for a Two-Dimensional Structure

    ·   Equilibrium of a Rigid Body. Free-Body Diagram

    Equilibrium of Two-Force Bodies and Three-Force Bodies


  • CHAPTER 4 DISTRIBUTED FORCES: CENTROIDS AND CENTERS OF GRAVITY

    ·   Centroids and First Moment of Areas and Lines

    ·   Composites Plates and Lines

    ·   Theorems of Pappus-Guldinus


  • CHAPTER 5 ANALYSIS OF STRUCTURE

    ·    Definition of Truss. Simple Trusses

    ·    Analysis of Trusses by the Method of Joints

    ·    Analysis of Trusses by the Method of Sections


  • CHAPTER 6 FRICTION

    ·    Laws of Dry Friction.

    ·    Coefficients and Angles of Friction

    ·   Problems involving dry friction

    ·   Wedges


  • CHAPTER 7 KINEMATICS OF PARTICLES

    a)Rectilinear Motion of Particles

    ·   Determination of the Motion of a Particle

    ·   Uniformly Accelerated Motion

    ·    Motion of Several Particles : Relative Motion, Dependent Motions

     

    b)Curvilinear Motion of Particles

    ·   Position vector, velocity and acceleration

    ·   Rectangular components of Velocity and Acceleration

    ·    Tangential and normal components of Acceleration

    ·    Relative Motion

     

    c)Kinetics of Particles : Newton’s 2nd Law

    ·    Newton’s Second Law of Motion

    ·    Equations of motion

    ·    Rectilinear motions

    ·    Curvilinear motions

     

    d)Newton’s 2nd Law

    ·    Newton’s Second Law of Motion

    ·    Equations of motion

    ·    Rectilinear motions

    ·    Curvilinear motions

     


  • Topic 8