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Course10510521760 lectures

Elastic Stability of Structures

Prof. Sarat Kumar Panda · IIT-ISM

Start with lecture 1 At NPTEL

Lectures

week-01

  1. Lecture 01: Basic concepts of buckling and introduction to equilibrium approach Video
  2. Lecture 02: Introduction to energy and imperfection approach Video
  3. Lecture 03: Introduction to different types of buckling Video
  4. Lecture 04: Weighted residual methods in structual mechanics Video
  5. Lecture 05: Weighted residual methods in structual mechanics cont... Video
  6. Lecture 06: Introduction to the strong and weak forms of GDE Video

week-02

  1. Lecture 07: Variational method: Derivation of Euler Lagrange equation Video
  2. Lecture 08: Delta opeator in variational method for finding GDE and Boundary conditions Video
  3. Lecture 09: Euler lagrange equation for functional having different dependent variables Video
  4. Lecture 10: Brachistochrone problem Video
  5. Lecture 11: Rayleigh-Ritz method Video
  6. Lecture 12: Extension of Rayleigh-Ritz method and Galerkin’s method Video

week-03

  1. Lecture 13: Single DOF stability model Video
  2. Lecture 14: Single DOF stability model and model having imperfection Video
  3. Lecture 15: Large deflection theory for stability analysis of rigid body stability models Video
  4. Lecture 16: Two DOF rigid body stability models Video
  5. Lecture 17: Snap through stability model and model of imperfect geometry Video

week-04

  1. Lecture 18: Weak form solution for hinged-hinged and fixed-fixed column Video
  2. Lecture 19: Weak form solution for fixed-free and fixed-hinged column Video
  3. Lecture 20: Strong form solution for hinged-hinged column Video
  4. Lecture 21: Strong form solution for fixed-fixed and fixed-free column Video
  5. Lecture 22: Critical load for column with elastic support Video

week-05

  1. Lecture 23: Boundary conditions for column with general case of elastically supported ends Video
  2. Lecture 24: Critical load for portal frame with column hinged at base Video
  3. Lecture 25: Critical load for portal frame with column fixed at base Video
  4. Lecture 26: Element stiffness matrix for beam-column Video
  5. Lecture 27: Stability analysis of frames by matrix stiffness method Video

week-06

  1. Lecture 28: Critical load of Euler column: Large deflection theory Video
  2. Lecture 29: Critical load of Euler column with initial imperfection Video
  3. Lecture 30: Load deflection curve for beam-column: GDE approach Video
  4. Lecture 31: Load deflection curve for beam-column: Energy approach Video
  5. Lecture 32: General expression of elastic curve for beam-column Video

week-07

  1. Lecture 33: Beam-column with several lateral and continuous loads Video
  2. Lecture 34: Bending of beam-column by end couples Video
  3. Lecture 35: Three moment equation for continuous beam-column Video
  4. Lecture 36: Moment equation for continuous beam-column with intermediate column Video
  5. Lecture 37: Beam-column on Elastic Foundation Video

week-08

  1. Lecture 38: St Venant Torsion and Non-uniform Torsion Video
  2. Lecture 39: Torsional Buckling Video
  3. Lecture 40: Torsional Buckling and Torsional Flexural Buckling Video
  4. Lecture 41: Torsional Flexural Buckling of Column Having Different Boundary Conditions Video
  5. Lecture 42: Rayleigh-Ritz method for Torsional Flexural Buckling of Column Video

week-09

  1. Lecture 43: Introduction to Plate Buckling and Small Deflection Theory Video
  2. Lecture 44: Governing Differential Equation of Plate Buckling Using Small Deflection Theory Video
  3. Lecture 45: Governing Differential Equation of Plate Buckling Using Small Deflection Theory (Contd…) Video
  4. Lecture 46: Critical Load of Plate Using Equilibrium Approach Video
  5. Lecture 47: Critical Load of Plate Using Energy Approach Video

week-10

  1. Lecture 48: Critical Load of Plates with Different End Conditions: Energy Approach and Galerkin's... Video
  2. Lecture 49: F-w Formulation For Plate Buckling Video
  3. Lecture 50: Critical load and Post Buckling Behaviour of Plate Using F-w Formulation Video
  4. Lecture 51: Governing Differential Equation of Shell Buckling by Using Small Deflection Theory Video

week-11

  1. Lecture 52: Governing Differential Equation of Shell Buckling by Using Small Deflection.. (Contd...) Video
  2. Lecture 53: Governing Differential Equation of Shell Buckling: Donnell's Equation Video
  3. Lecture 54: Solution of Donnell's Equation for Finding Critical Load Video
  4. Lecture 55: Governing Differential Equation of Shell Buckling by Using Finite Deflection Theory Video
  5. Lecture 56: Post Buckling Behaviour of an Imperfect Axially Compressed Cylindrical Shell Panel Video

week-12

  1. Lecture 57: Governing Differential Equation for the deflection curve of a thin bar Video
  2. Lecture 58: Critical load of a two-hinged and fixed-fixed circular arch Video
  3. Lecture 59: Inelastic Buckling Analysis of Column Video
  4. Lecture 60: Inelastic Buckling Analysis of Column Contd Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT-ISM
Department
Civil Engineering
Teacher
Prof. Sarat Kumar Panda
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Kharagpur.
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