Mechanics of Solids (ME31013), Autumn 2020

Mechanical Engineering Department, Indian Institute of Technology Kharagpur

Instructors:


Policies and Guidelines:

All policies and guidelines regarding the structure of the course and assessment are laid out in detail in the Policies and Guidelines tab.


Outline of the course and learning resources (first 4 weeks)

The following is the outline of the course together with lecture notes and problem sheets for the first four weeks of the semester.

Topics Problem Sheets
Introduction: Notes
Mathematical Preliminaries: Notes
(There will be no lectures for this topic. It is meant purely for self-study.)

Kinematics:
Notes Recorded Notes

  • Deformation:   [L1]

  • Displacement:   [L2]

  • Quantification of deformation: [L3]

  • Strain:   [L4],   [L5],   [L6],   [L7]

  • Rigid-Body Rotation:   [L8]

  • Principal Strains and Principal Axes of Strain:   [L9]

  • Strain Compatibility:   [L10]

PS 1

Stress:
Notes
Recorded Notes

  • Introduction to Stress:   [L11]

  • Traction:   [L12]

  • Connection between Traction Vector and Stress:

    • Balance of Linear Momentum:   [L13]
    • Balance of Linear Momentum Applied to a Tetrahedron:   [L14], [L15]
  • Cauchy’s Formula:   [L16]

  • Cauchy’s Equations of Motion and Stress Equilibrium Equations:   [L17]

  • Normal and Shear Components of Traction:   [L18]

  • Principal Stresses:   [L19]

  • State of Stress Referred to Principal Directions:   [L20]

  • Octahedral Stress:   [L21]

  • Mean and Deviatoric Stress:   [L22]

PS 2

Constitutive Relations:
Notes
Recorded Notes

  • Constitutive Relations:   [L23]
PS3

2D Elasticity:
Notes
Recorded Notes

  • Plane Stress and Plane Strain:   [L24]

  • Airy Stress Function:   [L25], [L26]

PS4



References

Intended Learning Outcomes

After completing this course, it is intended that students will: