# Solid Mechanics

- Institution: IIT Delhi
- Department: Mechanical Engineering
- Teacher: Prof. Ajeet Kumar
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112102284)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112102284)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

This is the first course where deformation of solid bodies and the underlying concepts are introduced to undergraduate students. The course begins by building foundation of the concepts of stress and strain in three-dimensional deformable bodies. It further uses these concepts to study extension, torsion and bending of beams. The one-dimensional theory of beams are also introduced. We also discuss various theories of failure which are critical for design of machine elements in industry.

Intended audience: Any Interested Learners

Prerequisites: 1st year Engineering Mechanics

## Lectures

1. [Mathematical Concepts: Working with Vectors & Tensors](https://invisiblenetwork.ai/learn/nptel/112102284/02081a6c0474) (YouTube)
2. [Traction Vector](https://invisiblenetwork.ai/learn/nptel/112102284/9e1e0f3bfb0a) (YouTube)
3. [Stress Tensor & its Matrix Representation](https://invisiblenetwork.ai/learn/nptel/112102284/2fbd5dde329c) (YouTube)
4. [Transformation of Stress Matrix](https://invisiblenetwork.ai/learn/nptel/112102284/73b3ffc47244) (YouTube)
5. [Stress Equilibrium Equations : Balance of Linear & Angular Momentum](https://invisiblenetwork.ai/learn/nptel/112102284/3abf3351cd88) (YouTube)
6. [Balance of Angular Momentum (contd…)](https://invisiblenetwork.ai/learn/nptel/112102284/9eadf49781e3) (YouTube)
7. [Principal Planes & Principal stress components](https://invisiblenetwork.ai/learn/nptel/112102284/a55549489f1d) (YouTube)
8. [Maximizing the Shear Component of Traction](https://invisiblenetwork.ai/learn/nptel/112102284/0ac1dacc1cff) (YouTube)
9. [Mohr's Circle](https://invisiblenetwork.ai/learn/nptel/112102284/3e74b981f4bc) (YouTube)
10. [Mohr's Circle (contd…), Stress Invariants, Decomposition of the Stress Tensor](https://invisiblenetwork.ai/learn/nptel/112102284/cf501def2a02) (YouTube)
11. [Concept of Strain Tensor](https://invisiblenetwork.ai/learn/nptel/112102284/0b019b1b459d) (YouTube)
12. [Longitudinal and Shear Strains](https://invisiblenetwork.ai/learn/nptel/112102284/b5a18bf49af2) (YouTube)
13. [Local Volumetric Strain & Local Infinitesimal Rotation](https://invisiblenetwork.ai/learn/nptel/112102284/161880bdeb76) (YouTube)
14. [Similarity in Properties of Stress & Strain Tensors](https://invisiblenetwork.ai/learn/nptel/112102284/e8970d72602e) (YouTube)
15. [Stress-Strain Relation](https://invisiblenetwork.ai/learn/nptel/112102284/80d8e14f9f77) (YouTube)
16. [Stress-Strain Relation for Isotropic Materials](https://invisiblenetwork.ai/learn/nptel/112102284/37f6f33bb334) (YouTube)
17. [Linear Momentum Balance in Cylinderical Coordinate System](https://invisiblenetwork.ai/learn/nptel/112102284/0db2e3108b22) (YouTube)
18. [Linear Momentum Balance in Cylinderical Coordinate System (Contd..)](https://invisiblenetwork.ai/learn/nptel/112102284/3033af869ad5) (YouTube)
19. [Strain Matrix in Cylinderical Coordinate System](https://invisiblenetwork.ai/learn/nptel/112102284/1690a548de35) (YouTube)
20. [Extension-Torsion-Inflation in a Hollow Cylinder](https://invisiblenetwork.ai/learn/nptel/112102284/d2f4a0d13dfa) (YouTube)
21. [Extension-Torsion-Inflation in a Hollow Cylinder (Contd..)](https://invisiblenetwork.ai/learn/nptel/112102284/6d2cfdabe013) (YouTube)
22. [Solving Problems Involving Torsion of Shafts](https://invisiblenetwork.ai/learn/nptel/112102284/c99e0e37fa53) (YouTube)
23. [Pure Bending of Rectangular Beams](https://invisiblenetwork.ai/learn/nptel/112102284/7e169e4e5d92) (YouTube)
24. [Bending of Beams (Contd..)](https://invisiblenetwork.ai/learn/nptel/112102284/33363a6c2dcc) (YouTube)
25. [Bending of Unsymmetrical Beams](https://invisiblenetwork.ai/learn/nptel/112102284/0ab4ae81fa88) (YouTube)
26. [Concept of Shear Center](https://invisiblenetwork.ai/learn/nptel/112102284/0b8f6b4d0897) (YouTube)
27. [Theoy of Beams](https://invisiblenetwork.ai/learn/nptel/112102284/42754f11be65) (YouTube)
28. [Theoy of Beams (Contd…) & Beam Buckling](https://invisiblenetwork.ai/learn/nptel/112102284/74ce25b3a49d) (YouTube)
29. [Energy Methods](https://invisiblenetwork.ai/learn/nptel/112102284/d6e73c15471d) (YouTube)
30. [Energy Methods (contd…)](https://invisiblenetwork.ai/learn/nptel/112102284/ebe889939351) (YouTube)
31. [Theories of Failure](https://invisiblenetwork.ai/learn/nptel/112102284/755d772d268a) (YouTube)
32. [Theories of Failure (contd…)](https://invisiblenetwork.ai/learn/nptel/112102284/de36d8589285) (YouTube)