# Elastic Stability of Structures

- Institution: IIT-ISM
- Department: Civil Engineering
- Teacher: Prof. Sarat Kumar Panda
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/105105217)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/105105217)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 01: Basic concepts of buckling and introduction to equilibrium approach](https://invisiblenetwork.ai/learn/nptel/105105217/d5b111a18246) (Video)
2. [Lecture 02: Introduction to energy and imperfection approach](https://invisiblenetwork.ai/learn/nptel/105105217/05be7d91d25a) (Video)
3. [Lecture 03: Introduction to different types of buckling](https://invisiblenetwork.ai/learn/nptel/105105217/3afcefa6285a) (Video)
4. [Lecture 04: Weighted residual methods in structual mechanics](https://invisiblenetwork.ai/learn/nptel/105105217/88b70de57010) (Video)
5. [Lecture 05: Weighted residual methods in structual mechanics cont...](https://invisiblenetwork.ai/learn/nptel/105105217/a12af26c8644) (Video)
6. [Lecture 06: Introduction to the strong and weak forms of GDE](https://invisiblenetwork.ai/learn/nptel/105105217/c629f7b84cb8) (Video)
7. [Lecture 07: Variational method: Derivation of Euler Lagrange equation](https://invisiblenetwork.ai/learn/nptel/105105217/0cf50c0e0930) (Video)
8. [Lecture 08: Delta opeator in variational method for finding GDE and Boundary conditions](https://invisiblenetwork.ai/learn/nptel/105105217/43f9c833a831) (Video)
9. [Lecture 09: Euler lagrange equation for functional having different dependent variables](https://invisiblenetwork.ai/learn/nptel/105105217/da436b0725b8) (Video)
10. [Lecture 10: Brachistochrone problem](https://invisiblenetwork.ai/learn/nptel/105105217/6999690b9f16) (Video)
11. [Lecture 11: Rayleigh-Ritz method](https://invisiblenetwork.ai/learn/nptel/105105217/e7b60f5693ef) (Video)
12. [Lecture 12: Extension of Rayleigh-Ritz method and Galerkin’s method](https://invisiblenetwork.ai/learn/nptel/105105217/82ae4f6a8f81) (Video)
13. [Lecture 13: Single DOF stability model](https://invisiblenetwork.ai/learn/nptel/105105217/54bee83ff12e) (Video)
14. [Lecture 14: Single DOF stability model and model having imperfection](https://invisiblenetwork.ai/learn/nptel/105105217/17b9adf9d288) (Video)
15. [Lecture 15: Large deflection theory for stability analysis of rigid body stability models](https://invisiblenetwork.ai/learn/nptel/105105217/fac850aeccf1) (Video)
16. [Lecture 16: Two DOF rigid body stability models](https://invisiblenetwork.ai/learn/nptel/105105217/2fc9f49b62c5) (Video)
17. [Lecture 17: Snap through stability model and model of imperfect geometry](https://invisiblenetwork.ai/learn/nptel/105105217/0b74247b454d) (Video)
18. [Lecture 18: Weak form solution for hinged-hinged and fixed-fixed column](https://invisiblenetwork.ai/learn/nptel/105105217/82aacec6d198) (Video)
19. [Lecture 19: Weak form solution for fixed-free and fixed-hinged column](https://invisiblenetwork.ai/learn/nptel/105105217/7f6027cbd925) (Video)
20. [Lecture 20: Strong form solution for hinged-hinged column](https://invisiblenetwork.ai/learn/nptel/105105217/540e67e82ddb) (Video)
21. [Lecture 21: Strong form solution for fixed-fixed and fixed-free column](https://invisiblenetwork.ai/learn/nptel/105105217/29bb7f0fbe6b) (Video)
22. [Lecture 22: Critical load for column with elastic support](https://invisiblenetwork.ai/learn/nptel/105105217/f3dd0cb974c9) (Video)
23. [Lecture 23: Boundary conditions for column with general case of elastically supported ends](https://invisiblenetwork.ai/learn/nptel/105105217/1cc301171348) (Video)
24. [Lecture 24: Critical load for portal frame with column hinged at base](https://invisiblenetwork.ai/learn/nptel/105105217/13ed65679b92) (Video)
25. [Lecture 25: Critical load for portal frame with column fixed at base](https://invisiblenetwork.ai/learn/nptel/105105217/2a410d6ab088) (Video)
26. [Lecture 26: Element stiffness matrix for beam-column](https://invisiblenetwork.ai/learn/nptel/105105217/7a2557ca90fe) (Video)
27. [Lecture 27: Stability analysis of frames by matrix stiffness method](https://invisiblenetwork.ai/learn/nptel/105105217/807613c76f81) (Video)
28. [Lecture 28: Critical load of Euler column: Large deflection theory](https://invisiblenetwork.ai/learn/nptel/105105217/9b994eba0f8c) (Video)
29. [Lecture 29: Critical load of Euler column with initial imperfection](https://invisiblenetwork.ai/learn/nptel/105105217/c21529115043) (Video)
30. [Lecture 30: Load deflection curve for beam-column: GDE approach](https://invisiblenetwork.ai/learn/nptel/105105217/b68a87904f47) (Video)
31. [Lecture 31: Load deflection curve for beam-column: Energy approach](https://invisiblenetwork.ai/learn/nptel/105105217/d3257047024f) (Video)
32. [Lecture 32: General expression of elastic curve for beam-column](https://invisiblenetwork.ai/learn/nptel/105105217/4ed19f1437bb) (Video)
33. [Lecture 33: Beam-column with several lateral and continuous loads](https://invisiblenetwork.ai/learn/nptel/105105217/92ea8c2c5a0f) (Video)
34. [Lecture 34: Bending of beam-column by end couples](https://invisiblenetwork.ai/learn/nptel/105105217/07fc46d7c7f7) (Video)
35. [Lecture 35: Three moment equation for continuous beam-column](https://invisiblenetwork.ai/learn/nptel/105105217/3121708b9c53) (Video)
36. [Lecture 36: Moment equation for continuous beam-column with intermediate column](https://invisiblenetwork.ai/learn/nptel/105105217/b90a0c9c4918) (Video)
37. [Lecture 37: Beam-column on Elastic Foundation](https://invisiblenetwork.ai/learn/nptel/105105217/6e2af2d7ae40) (Video)
38. [Lecture 38: St Venant Torsion and Non-uniform Torsion](https://invisiblenetwork.ai/learn/nptel/105105217/47061aa9129f) (Video)
39. [Lecture 39: Torsional Buckling](https://invisiblenetwork.ai/learn/nptel/105105217/eb9c4db1fca7) (Video)
40. [Lecture 40: Torsional Buckling and Torsional Flexural Buckling](https://invisiblenetwork.ai/learn/nptel/105105217/e96faa53a680) (Video)
41. [Lecture 41: Torsional Flexural Buckling of Column Having Different Boundary Conditions](https://invisiblenetwork.ai/learn/nptel/105105217/5e2ea7603f98) (Video)
42. [Lecture 42: Rayleigh-Ritz method for Torsional Flexural Buckling of Column](https://invisiblenetwork.ai/learn/nptel/105105217/e1e6c0befcc6) (Video)
43. [Lecture 43: Introduction to Plate Buckling and Small Deflection Theory](https://invisiblenetwork.ai/learn/nptel/105105217/03acc79ae9cd) (Video)
44. [Lecture 44: Governing Differential Equation of Plate Buckling Using Small Deflection Theory](https://invisiblenetwork.ai/learn/nptel/105105217/ea44374cf31f) (Video)
45. [Lecture 45: Governing Differential Equation of Plate Buckling Using Small Deflection Theory (Contd…)](https://invisiblenetwork.ai/learn/nptel/105105217/c15af79dc914) (Video)
46. [Lecture 46: Critical Load of Plate Using Equilibrium Approach](https://invisiblenetwork.ai/learn/nptel/105105217/f16afcd40c76) (Video)
47. [Lecture 47: Critical Load of Plate Using Energy Approach](https://invisiblenetwork.ai/learn/nptel/105105217/bdb131e1f1a1) (Video)
48. [Lecture 48: Critical Load of Plates with Different End Conditions: Energy Approach and Galerkin's...](https://invisiblenetwork.ai/learn/nptel/105105217/2841ab7862fb) (Video)
49. [Lecture 49: F-w Formulation For Plate Buckling](https://invisiblenetwork.ai/learn/nptel/105105217/a0a152f7b143) (Video)
50. [Lecture 50: Critical load and Post Buckling Behaviour of Plate Using F-w Formulation](https://invisiblenetwork.ai/learn/nptel/105105217/c47c8ecde725) (Video)
51. [Lecture 51: Governing Differential Equation of Shell Buckling by Using Small Deflection Theory](https://invisiblenetwork.ai/learn/nptel/105105217/e25de5454574) (Video)
52. [Lecture 52: Governing Differential Equation of Shell Buckling by Using Small Deflection.. (Contd...)](https://invisiblenetwork.ai/learn/nptel/105105217/463143d405b4) (Video)
53. [Lecture 53: Governing Differential Equation of Shell Buckling: Donnell's Equation](https://invisiblenetwork.ai/learn/nptel/105105217/85462f4f4319) (Video)
54. [Lecture 54: Solution of Donnell's Equation for Finding Critical Load](https://invisiblenetwork.ai/learn/nptel/105105217/748d555e0212) (Video)
55. [Lecture 55: Governing Differential Equation of Shell Buckling by Using Finite Deflection Theory](https://invisiblenetwork.ai/learn/nptel/105105217/f75b5f7cfb6d) (Video)
56. [Lecture 56: Post Buckling Behaviour of an Imperfect Axially Compressed Cylindrical Shell Panel](https://invisiblenetwork.ai/learn/nptel/105105217/a55c6faffa64) (Video)
57. [Lecture 57: Governing Differential Equation for the deflection curve of a thin bar](https://invisiblenetwork.ai/learn/nptel/105105217/2dc05bd4d254) (Video)
58. [Lecture 58: Critical load of a two-hinged and fixed-fixed circular arch](https://invisiblenetwork.ai/learn/nptel/105105217/7a7aa33756e6) (Video)
59. [Lecture 59: Inelastic Buckling Analysis of Column](https://invisiblenetwork.ai/learn/nptel/105105217/08f161bb09a7) (Video)
60. [Lecture 60: Inelastic Buckling Analysis of Column Contd](https://invisiblenetwork.ai/learn/nptel/105105217/dfff9c14cc83) (Video)