NPTEL : NOC:Elastic Stability of Structures (Civil Engineering)

Co-ordinators : Prof. Sarat Kumar Panda


Lecture 1 - Basic concepts of buckling and introduction to equilibrium approach

Lecture 2 - Introduction to energy and imperfection approach

Lecture 3 - Introduction to different types of buckling

Lecture 4 - Weighted residual methods in structual mechanics

Lecture 5 - Weighted residual methods in structual mechanics (Continued...)

Lecture 6 - Introduction to the strong and weak forms of GDE

Lecture 7 - Variational method: Derivation of Euler Lagrange equation

Lecture 8 - Delta opeator in variational method for finding GDE and Boundary conditions

Lecture 9 - Euler lagrange equation for functional having different dependent variables

Lecture 10 - Brachistochrone problem

Lecture 11 - Rayleigh-Ritz method

Lecture 12 - Extension of Rayleigh-Ritz method and Galerkin’s method

Lecture 13 - Single DOF stability model

Lecture 14 - Single DOF stability model and model having imperfection

Lecture 15 - Large deflection theory for stability analysis of rigid body stability models

Lecture 16 - Two DOF rigid body stability models

Lecture 17 - Snap through stability model and model of imperfect geometry

Lecture 18 - Weak form solution for hinged-hinged and fixed-fixed column

Lecture 19 - Weak form solution for fixed-free and fixed-hinged column

Lecture 20 - Strong form solution for hinged-hinged column

Lecture 21 - Strong form solution for fixed-fixed and fixed-free column

Lecture 22 - Critical load for column with elastic support

Lecture 23 - Boundary conditions for column with general case of elastically supported ends

Lecture 24 - Critical load for portal frame with column hinged at base

Lecture 25 - Critical load for portal frame with column fixed at base

Lecture 26 - Element stiffness matrix for beam-column

Lecture 27 - Stability analysis of frames by matrix stiffness method

Lecture 28 - Critical load of Euler column: Large deflection theory

Lecture 29 - Critical load of Euler column with initial imperfection

Lecture 30 - Load deflection curve for beam-column: GDE approach

Lecture 31 - Load deflection curve for beam-column: Energy approach

Lecture 32 - General expression of elastic curve for beam-column

Lecture 33 - Beam-column with several lateral and continuous loads

Lecture 34 - Bending of beam-column by end couples

Lecture 35 - Three moment equation for continuous beam-column

Lecture 36 - Moment equation for continuous beam-column with intermediate column

Lecture 37 - Beam-column on Elastic Foundation

Lecture 38 - St Venant Torsion and Non-uniform Torsion

Lecture 39 - Torsional Buckling

Lecture 40 - Torsional Buckling and Torsional Flexural Buckling

Lecture 41 - Torsional Flexural Buckling of Column Having Different Boundary Conditions

Lecture 42 - Rayleigh-Ritz method for Torsional Flexural Buckling of Column

Lecture 43 - Introduction to Plate Buckling and Small Deflection Theory

Lecture 44 - Governing Differential Equation of Plate Buckling Using Small Deflection Theory

Lecture 45 - Governing Differential Equation of Plate Buckling Using Small Deflection Theory (Continued...)

Lecture 46 - Critical Load of Plate Using Equilibrium Approach

Lecture 47 - Critical Load of Plate Using Energy Approach

Lecture 48 - Critical Load of Plates with Different End Conditions: Energy Approach and Galerkin's

Lecture 49 - F-w Formulation For Plate Buckling

Lecture 50 - Critical load and Post Buckling Behaviour of Plate Using F-w Formulation

Lecture 51 - Governing Differential Equation of Shell Buckling by Using Small Deflection Theory

Lecture 52 - Governing Differential Equation of Shell Buckling by Using Small Deflection Theory (Continued...)

Lecture 53 - Governing Differential Equation of Shell Buckling: Donnell's Equation

Lecture 54 - Solution of Donnell's Equation for Finding Critical Load

Lecture 55 - Governing Differential Equation of Shell Buckling by Using Finite Deflection Theory

Lecture 56 - Post Buckling Behaviour of an Imperfect Axially Compressed Cylindrical Shell Panel

Lecture 57 - Governing Differential Equation for the deflection curve of a thin bar

Lecture 58 - Critical load of a two-hinged and fixed-fixed circular arch

Lecture 59 - Inelastic Buckling Analysis of Column

Lecture 60 - Inelastic Buckling Analysis of Column (Continued...)