Basic Concepts of Mechanics of Materials for Machine Design

Learn the Foundation concepts of Strength of materials with Math derivations and theory for mechanical engineering

Mechanics of Materials is the primary course for  mechanical engineering and is used in the design of structures and machines.

What you’ll learn

  • What is machine design , its nature and design process.
  • Different types of stress, loading and their analysis.
  • Tensile Test – Stress – strain diagram and its inferences.
  • What is Stress concentration and its different forms.
  • Source of Uncertainties in Design and Factor of Safety.
  • Deriving governing equations of Bending and Torsion.
  • What is Stress Transformation and derivation of Principal stress.
  • Analysis of Beams and their types , how to develop shear force and Bending moment diagrams.
  • Multi axial loading, Generalized Hookes law and Poisson Ratio.

Course Content

  • Introduction –> 5 lectures • 15min.
  • Basic Concepts –> 15 lectures • 41min.
  • Stress- Strain Diagram –> 11 lectures • 33min.
  • Factor of Safety –> 4 lectures • 13min.
  • Stress in Oblique plane –> 1 lecture • 7min.
  • Pure Bending –> 22 lectures • 1hr 14min.
  • Torsion –> 10 lectures • 29min.
  • Multi Axial Loading –> 4 lectures • 15min.
  • State of Stress and Stress Transformations –> 14 lectures • 44min.
  • Bonus Section –> 1 lecture • 1min.

Basic Concepts of Mechanics of Materials for Machine Design


Mechanics of Materials is the primary course for  mechanical engineering and is used in the design of structures and machines.

A thorough understanding of the foundational concepts of the subject is important to for mechanical design whether it be designing a single structure which has to take loads or whether it is designing an elaborate Transmission systems which is undergoing dynamic loading conditions.  Mechanics of materials concepts are cornerstone of any type of mechanical design .

In this course we will be covering the following concepts :

  1. Introduction to Machine design – What is nature of machine design ? What does it include ? What is the engineering design process?
  2. Importance of analysis of strength and difference between strength and stress
  3. Essential basics of engineering statics – Method of statics, Free body diagrams, Force equilibrium , types of joints
  4. primary types of loading- Normal and shear
  5. What is Bearing stress
  6. Explanation of Stress and strain relations with Tensile test and its inferences along with definitions of tensile strength , yield strength .
  7. Hookes law
  8. Shear Stress strain relations and Shear stress in Shafts undergoing action of torque- Torsion.
  9. What is Poissons’ Ratio
  10. Analysis of Axially loaded member and what is stress concentration
  11. Analysis of Stress in Oblique plane for axially loaded member
  12. What is Pure bending ? Derivation of governing equations .
  13. What is Area moment of Inertia
  14. Analysis of Beams and deriving shear force and Bending moment diagrams
  15. Two Plane bending in shafts
  16. Stress concentration in Bending
  17. Analysis of Shaft in torsion and derivation of Governing equations
  18. Solid vs Hollow shafts
  19. Stress concentration in Shafts
  20. Multi axial Loading , Dilatation and Bulk Modulus
  21. State of Stress and Stress transformations
  22. Analysis of Thin walled pressure vessels
  23. What is Principal stress and derivation of Mohrs’ Circle
  24. Comparison of plane of Principal stress and Maximum Shear

The course covers the Theoretical basics required to design standard  elements in structures and machines.

Aim of the course is to build a strong well rooted understanding of the concepts rather than just mere application of formulae.

A good engineer knows the underlying assumptions of each formula they use in application and hence knowing the mathematical back ground is very important for effective design.

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