Learn · Computational Geomechanics
Lecture 11 of 59Week 3
Lecture 11: Buckling of column and Numerical solution
Prof. Shantanu Patra · IIT Bhubaneshwar
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All the lectures
- Lecture 1: Mathematical Modeling and Governing Equation
- Lecture 2: Solution of governing equation and computer implementation
- Lecture 3: Estimation of Numerical Error and error propagation
- Lecture 4: Numerical Stability and round -off errors
- Lecture 5: Number representation and Computational Limits
- Lecture 06: Numerical differentiation
- Lecture 07: Higher order numerical differentiation and Eigen Value problem
- Lecture 08: Buckling of column and Numerical solution
- Lecture 09: Smallest Eigen value and Roots of characteristic equation
- Lecture 10: Higher Order Numerical Differentiation and Elgen Value Problem
- Lecture 11: Buckling of column and Numerical solution
- Lecture 12: Smallest Eigen value and Roots of characteristic equation
- Lecture 13: Roots of characteristic equation- Bracketing method
- Lecture 14: Roots of characteristic equation- Open method
- Lecture 15: Roots of characteristic polynomial
- Lecture 16: Initial value vs Boundary value problem
- Lecture 17: RK Method and Multi-Step Method
- Lecture 18: System of equations, stiffness and multi-Step Method (Contd.)
- Lecture 19: System of equations, stiffness and multi-Step Method (Contd.)
- Lecture 20: System of equations, stiffness and multi-Step Method (Contd.)
- Lecture 21: Solutions of Simultaneous linear algebraic equations (continued…)
- Lecture 22: Application of FDM - Axially loaded pile
- Lecture 23: BEM for laterally loaded semi-infinite pile
- Lecture 24: BEM for laterally loaded pile (Contd…)
- Lecture 25: Buckling of piles
- Lecture 26: FDM Application - infinite beam subjected to a point load
- Lecture 27: FDM Application - infinite beam subjected to a concentrated moment
- Lecture 28: FDM for laterally loaded pile
- Lecture 29: FDM for laterally loaded pile and buckling of column
- Lecture 30: FDM for buckling of column and BEM (contd.)
- Lecture 31: Finite Difference Method And Laplace Equation
- Lecture 32: Finite Difference Method And Laplace Equation (Contd.)
- Lecture 33: Finite Difference Method And Laplace Equation (Contd.)
- Lecture 34: Finite Difference Method And Parabolic nequation - Explicit Method
- Lecture 35: Parabolic nequation - Explicit and Implicit Method
- Lecture 36 : Parabolic equation- Explicit and Implicit Method
- Lecture 37: Parabolic equation- 1-D Consolidation problem
- Lecture 38: FDM for 2D seepage problem
- Lecture 39: FDM for Mat Foundation
- Lecture 40: Approximate methods of solution
- Lecture 41: Constitutive Models for geomechanics
- Lecture 42: Approximate methods for Beam on elastic foundation problem
- Lecture 43: Introduction to Finite Element Method
- Lecture 44: Formulation of Stiffness matrix -direct approach
- Lecture 45: Application of Direct stiffness Methods for 1D Spring element
- Lecture 46: Stiffness Matrix Using Shape Functions and Truss Element
- Lecture 47: Truss analysis
- Lecture 48: Flow through porous medium
- Lecture 49: Variational method for flow through porous medium
- Lecture 50: Variational method for 1D consolidation and bar element
- Lecture 51: Strain energy method for bar element (contd..)
- Lecture 52: Formulation of stiffness matrix for beam element
- Lecture 53: Formulation of stiffness matrix for beam element (Contd..)
- Lecture 54: Analysis of beam
- Lecture 55: Determination of shape function for 2D CST element
- Lecture 56: Determination of Stiffness matrix for CST element (contd..)
- Lecture 57: Body force and surface force and numerical integration
- Lecture 58: Iso-parameteric element
- Lecture 59: Axisymmetric element