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Engineering Mechanics: contents

10 chapters and 52 lessons; 10 published so far. Lessons are written in order.

Chapter 1: Force systems and equilibrium

  1. 1.1 Scope of mechanics, idealisations (particle, rigid body, continuum) and SI units
  2. 1.2 Vectors and representation of forces
  3. 1.3 Resultant of coplanar concurrent forces
  4. 1.4 Moment of a force and Varignon's theorem
  5. 1.5 Couples and force-couple systems
  6. 1.6 Resultant of coplanar non-concurrent force systems
  7. 1.7 Free-body diagrams
  8. 1.8 Equilibrium of a particle and Lami's theorem
  9. 1.9 Equilibrium of rigid bodies in 2D and support reactions
  10. 1.10 Introduction to 3D force systems

Chapter 2: Analysis of trusses and frames

  1. 2.1 Plane trusses: assumptions and determinacy in preparation
  2. 2.2 Method of joints in preparation
  3. 2.3 Method of sections in preparation
  4. 2.4 Zero-force members and special loadings in preparation
  5. 2.5 Frames and machines in preparation
  6. 2.6 Introduction to space trusses in preparation

Chapter 3: Friction

  1. 3.1 Laws of dry friction and angle of friction in preparation
  2. 3.2 Blocks on inclined planes in preparation
  3. 3.3 Ladders and wedges in preparation
  4. 3.4 Screw jack in preparation
  5. 3.5 Belt and rope friction in preparation
  6. 3.6 Rolling resistance in preparation

Chapter 4: Centroid and centre of gravity

  1. 4.1 Centre of gravity, centre of mass and centroid in preparation
  2. 4.2 Centroids of lines and areas by integration in preparation
  3. 4.3 Centroids of composite areas in preparation
  4. 4.4 Theorems of Pappus-Guldinus in preparation
  5. 4.5 Resultants of distributed loads in preparation

Chapter 5: Moment of inertia

  1. 5.1 Second moment of area by integration in preparation
  2. 5.2 Parallel and perpendicular axis theorems in preparation
  3. 5.3 Composite and built-up sections in preparation
  4. 5.4 Product of inertia and principal axes in preparation
  5. 5.5 Mass moment of inertia in preparation

Chapter 6: Virtual work and stability

  1. 6.1 Work of forces and couples in preparation
  2. 6.2 Principle of virtual work in preparation
  3. 6.3 Virtual work for connected systems in preparation
  4. 6.4 Potential energy and stability of equilibrium in preparation

Chapter 7: Kinematics of particles

  1. 7.1 Rectilinear motion in preparation
  2. 7.2 Curvilinear motion in rectangular components in preparation
  3. 7.3 Normal and tangential components in preparation
  4. 7.4 Projectile motion in preparation
  5. 7.5 Relative motion in preparation

Chapter 8: Kinetics of particles

  1. 8.1 Newton's second law and D'Alembert's principle in preparation
  2. 8.2 Work-energy principle in preparation
  3. 8.3 Impulse and momentum in preparation
  4. 8.4 Impact and coefficient of restitution in preparation

Chapter 9: Plane motion of rigid bodies

  1. 9.1 Rotation about a fixed axis in preparation
  2. 9.2 General plane motion and instantaneous centre in preparation
  3. 9.3 Equations of plane motion in preparation
  4. 9.4 Energy methods for rigid bodies in preparation

Chapter 10: Introduction to vibrations

  1. 10.1 Free undamped vibration of a single-degree system in preparation
  2. 10.2 Damped free vibration in preparation
  3. 10.3 Forced vibration and resonance in preparation

Related topic pages in the library: Engineering mechanics