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Course10510569060 lectures

Advanced Structural Analysis

Prof. Devesh Punera · IIT Bhubaneshwar

Start with lecture 1 At NPTEL

About

The course ‘Advanced Structural Analysis’ will cover the application of matrix methods in analysis of skeletal structures. The stiffness and flexibility matrix approach will be developed based on the basic understanding of the displacement and force methods. The course will also introduce the computer implementation of the stiffness approach so that users can get familiar with the working of the standard structural analysis software packages. The course will further give brief introduction to geometrical and material nonlinear analysis procedure in the context of standard truss and beam members.

Intended audience: M.Tech Structural Engineering and B.Tech final year students of civil engineering

Prerequisites: Structural analysis

Lectures

Week 1 :

  1. Lecture 01 : Concept of stress resultant and static equilibrium YouTube
  2. Lecture 02 : Displacement and kinematic compatibility YouTube
  3. Lecture 03 : Stability,Static and kinematic indeterminacy of structural system YouTube
  4. Lecture 04 : Kinematic indeterminacy, Energy approach YouTube
  5. Lecture 05 : Energy concept and virtual work principle YouTube

Week 2 :

  1. Lecture 06 : Energy Concept - Continued YouTube
  2. Lecture 07 : Examples cases using energy approach YouTube
  3. Lecture 08 : Introduction to Force method YouTube
  4. Lecture 09 : Simple flexibility approach - examples YouTube
  5. Lecture 10 : Temperature loading/member pre-strains and post processing YouTube

Week 3 :

  1. Lecture 11 : Introduction to displacement approach - simple stiffness method YouTube
  2. Lecture 12 : Application to continuous beams YouTube
  3. Lecture 13 : Simple stiffness approach for frame structures YouTube
  4. Lecture 14 : Equivalent joint load approach YouTube
  5. Lecture 15 : Temperature loading/member pre-strains/support displacements YouTube

Week 4 :

  1. Lecture 16 : Generalized Flexibility Method - Member Flexibility YouTube
  2. Lecture 17 : Generalized Flexibility - Structural System YouTube
  3. Lecture 18 : Structural Flexibility Matrix from Generalized System YouTube
  4. Lecture 19 : Generalized Flexibility Approach - Examples YouTube
  5. Lecture 20 : Generalized Flexibility Approach - Examples (Contd.) YouTube

Week 5 :

  1. Lecture 21 : Generalized Stiffness Approach - Brief YouTube
  2. Lecture 22 : Member Stiffness Matrix YouTube
  3. Lecture 23 : Example Case - Flexibility and Stiffness Approach YouTube
  4. Lecture 24 : Simple Stiffness Approach - Example YouTube
  5. Lecture 25 : Generalized Stiffness Approach - Example YouTube

Week 6 :

  1. Lecture 26 : Computer Implementation of Stiffness Approach YouTube
  2. Lecture 27 : Assembly of Global Stiffness Matrix YouTube
  3. Lecture 28 : Matrix Rearrangement and Solution Approach YouTube
  4. Lecture 29 : Continuous Beam Systems - Computer Based Stiffness Approach YouTube
  5. Lecture 30 : Continuous Beam - Computer Based Stiffness Approach Continued YouTube

Week 7 :

  1. Lecture 31 : MATLAB implementation of stiffness approach - continuous beam case YouTube
  2. Lecture 32 : Computer Based Stiffness Approach in MATLAB - Hands-on Session YouTube
  3. Lecture 33 : Stiffness approach for plane truss members - computer implementation YouTube
  4. Lecture 34 : 2D truss stiffness approach - computer implementaion YouTube
  5. Lecture 35 : Plane truss MATLAB implementation Hands-on session YouTube

Week 8 :

  1. Lecture 36 : Computer implementation of Stiffness Approach - Plane Frame System YouTube
  2. Lecture 37 : Computer implementation of Stiffness Approach - Plane Frame System (Contd.) YouTube
  3. Lecture 38 : Computer implementation for plance frame - Example Problem YouTube
  4. Lecture 39 : Computer implementation of Stiffness Approach - Grid Structures YouTube
  5. Lecture 40 : Transformation in 3D domain - Space Frame and Space Truss YouTube

Week 9 :

  1. Lecture 41 : Computer based stiffness approach - Space Frame and Space Truss YouTube
  2. Lecture 42 : Space truss member - Example and computer implementation YouTube
  3. Lecture 43 : Introduction to the geometrical nonlinearities YouTube
  4. Lecture 44 : Geometrical nonlinear analysis - Plane Truss Member YouTube
  5. Lecture 45 : Geometrical nonlinear analysis - Plane Truss Structure YouTube

Week 10 :

  1. Lecture 46 : Geometrical nonlinear analysis - Example Problem YouTube
  2. Lecture 47 : Geometrical nonlinear analysis - Beam Members YouTube
  3. Lecture 48 : Geometrical nonlinear analysis - Beam Members (Contd.) YouTube
  4. Lecture 49 : Incremental load analysis - Geometrical nonlinear problem YouTube
  5. Lecture 50 : Newton Raphson Procedure for nonlinear analysis YouTube

Week 11 :

  1. Lecture 51 : Newton Raphson Scheme - Geometrically nonlinear problem YouTube
  2. Lecture 52 : P-delta effects in general frame structures YouTube
  3. Lecture 53 : P-delta effects using geometric stiffness and solution YouTube
  4. Lecture 54 : Linear Buckling Analysis YouTube
  5. Lecture 55 : Introduction to Material nonlinearity YouTube

Week 12 :

  1. Lecture 56 : Incremental Stress-strain Relation - Material Nonlinearity YouTube
  2. Lecture 57 : Member stiffness and incremental analysis YouTube
  3. Lecture 58 : Iterative solution approach and numerical example YouTube
  4. Lecture 59 : Example case YouTube
  5. Lecture 60 : Introduction to finite element approach and way forward YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bhubaneshwar
Department
Civil Engineering
Teacher
Prof. Devesh Punera
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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