IIT Madras Course , Prof. Devdas Menon

**125**students enrolled

IIT Madras Course , Prof. Devdas Menon

Review of basic concepts in structural analysis:structure (structural elements, joints and supports, stability, rigidity and static indeterminacy, kinematic indeterminacy);loads (direct actions, indirect loading);response (equilibrium, compatibility, force-displacement relations);levels of analysis; analysis of statically determinate structures (trusses, beams, frames);applications of principle of virtual work and displacement-based and force-based energy principles; deriving stiffness and flexibility coefficients - Review of analysis of indeterminate structures - Force methods:Statically indeterminate structures (method of consistent deformations; theorem of least work) - Displacement Methods:Kinematically indeterminate structures (slope-deflection method; moment distribution method) - Matrix concepts and Matrix analysis of structures:Matrix; vector; basic matrix operations; rank; solution of linear simultaneous equations; eigenvalues and eigenvectors;Introduction; coordinate systems; displacement and force transformation matrices;Contra-gradient principle; element and structure stiffness matrices - Element and structure flexibility matrices; equivalent joint loads; stiffness and flexibility approaches - Matrix analysis of structures with axial elements - Introduction:Axial stiffness and flexibility; stiffness matrices for an axial element (two dof), plane truss element (four dof) and space truss element (six dof) - One-dimensional axial structures:Analysis by conventional stiffness method (two dof per element) and reduced element stiffness method (single dof); Analysis by flexibility method - Plane trusses:Analysis by conventional stiffness method (four dof per element) and reduced element stiffness method (single dof); Analysis by flexibility method - Space trusses:Analysis by conventional stiffness method (six dof per element) and reduced element stiffness method (single dof) - Matrix analysis of beams and grids - Conventional stiffness method for beams:Beam element stiffness (four dof); generation of stiffness matrix for continuous beam; dealing with internal hinges, hinged and guided-fixed end supports; accounting for shear deformations - Reduced stiffness method for beams:Beam element stiffness (two dof); dealing with moment releases, hinged and guided-fixed end supports - Flexibility method for fixed and continuous beams:Force transformation matrix; element flexibility matrix; solution procedure (including support movements);

Stiffness method for grids:Introduction; torsional stiffness of grid element and advantage of torsion release; analysis by conventional stiffness method using grid element with six dof; analysis by reduced stiffness method (three dof per element) - Matrix analysis of plane and space frames - Conventional stiffness method for plane frames:Element stiffness (six dof); generation of structure stiffness matrix and solution procedure; dealing with internal hinges and various end conditions - Reduced stiffness method for plane frames:Element stiffness (three dof); ignoring axial deformations; dealing with moment releases, hinged and guided-fixed end supports - Flexibility method for plane frames:Force transformation matrix; element flexibility matrix; solution procedure (including support movements); Ignoring axial deformations - Stiffness method for space frames:Introduction; element stiffness matrix of space frame element with 12 dof and 6 dof; coordinate transformations; analysis by reduced stiffness method (six dof per element); - Analysis of elastic instability and second-order effects - Effects of axial force on flexural stiffness:Review of buckling of ideal columns; flexural behaviour and stiffness measures for beam-columns - braced and unbraced, under axial compression - Solution by slope deflection method:Slope deflection equations for prismatic beam columns using stability functions; modifications for pinned and guided-fixed-end conditions; fixed-end moments in beam-columns - Solution by matrix method:Stiffness matrix for prismatic beam-column element; estimation of critical elastic buckling loads; second-order analysis;

Stiffness method for grids:Introduction; torsional stiffness of grid element and advantage of torsion release; analysis by conventional stiffness method using grid element with six dof; analysis by reduced stiffness method (three dof per element) - Matrix analysis of plane and space frames - Conventional stiffness method for plane frames:Element stiffness (six dof); generation of structure stiffness matrix and solution procedure; dealing with internal hinges and various end conditions - Reduced stiffness method for plane frames:Element stiffness (three dof); ignoring axial deformations; dealing with moment releases, hinged and guided-fixed end supports - Flexibility method for plane frames:Force transformation matrix; element flexibility matrix; solution procedure (including support movements); Ignoring axial deformations - Stiffness method for space frames:Introduction; element stiffness matrix of space frame element with 12 dof and 6 dof; coordinate transformations; analysis by reduced stiffness method (six dof per element); - Analysis of elastic instability and second-order effects - Effects of axial force on flexural stiffness:Review of buckling of ideal columns; flexural behaviour and stiffness measures for beam-columns - braced and unbraced, under axial compression - Solution by slope deflection method:Slope deflection equations for prismatic beam columns using stability functions; modifications for pinned and guided-fixed-end conditions; fixed-end moments in beam-columns - Solution by matrix method:Stiffness matrix for prismatic beam-column element; estimation of critical elastic buckling loads; second-order analysis;

Up Next

You can skip ad in

SKIP AD >

Advertisement

- 2x
- 1.5x
- 1x
- 0.5x
- 0.25x

EMBED LINK

COPY

DIRECT LINK

COPY

PRIVATE CONTENT

OK

Enter password to view

Please enter valid password!

- Play Pause
- Mute UnMute
- Fullscreen Normal
- @Your Company Title

0:00

0 (0 Ratings)

Advanced Structural Analysis by Prof. Devdas Menon, Department of Civil Engineering, IIT Madras For more details on NPTEL visit httpnptel.iitm.ac.in

Heads up!

IITMadras delivers the above video lessons under NPTEL program, there are more than 6000+ nptel video lectures by other IITs as well.
0%

0%

0%

0%

0%

- 1.Review of Basic Structural Analysis 1
- 2.Review of Basic Structural Analysis 2
- 3.Review of Basic Structural Analysis 3
- 4.Review of Basic Structural Analysis 4
- 5.Review of Basic Structural Analysis 5
- 6.Review of Basic Structural Analysis 6
- 7.Review of Basic Structural Analysis 7
- 8.Review of Basic Structural Analysis 8
- 9.Review of Basic Structural Analysis 9
- 10.Review of Basic Structural Analysis 10
- 11.Review of Basic Structural Analysis 11
- 12.Review of Basic Structural Analysis 12
- 13.Review of Basic Structural Analysis 13
- 14.Review of Basic Structural Analysis 14
- 15.Review of Basic Structural Analysis 15
- 16.Review of Basic Structural Analysis 16
- 17.Basic Matrix Concepts 1
- 18.Basic Matrix Concepts 2
- 19.Basic Matrix Concepts 3
- 20.Basic Matrix Concepts 4
- 21.Basic Matrix Concepts 5
- 22.Matrix Analysis of Structures with Axial Elements
- 23.Matrix Analysis of Structures with Axial Elements 1
- 24.Matrix Analysis of Structures with Axial Elements 2
- 25.Matrix Analysis of Structures with Axial Elements 3
- 26.Matrix Analysis of Structures with Axial Elements 4
- 27.Matrix Analysis of Beams and Grids 1
- 28.Matrix Analysis of Beams and Grids 2
- 29.Matrix Analysis of Beams and Grids 3
- 30.Matrix Analysis of Beams and Grids 4
- 31.Matrix Analysis of Beams and Grids 5
- 32.Matrix Analysis of Beams and Grids 6
- 33.Matrix Analysis of Plane and Space Frames 1
- 34.Matrix Analysis of Plane and Space Frames 2
- 35.Matrix Analysis of Plane and Space Frames 3
- 36.Matrix Analysis of Plane and Space Frames 4
- 37.Matrix Analysis of Plane and Space Frames 5
- 38.Analysis of elastic instability and second-order effects 1
- 39.Analysis of elastic instability and second-order effects 2
- 40.Analysis of elastic instability and second-order effects 3
- 41.Life beyond Structures & Analysis

- FreeVideoLectures aim to help millions of students across the world acquire knowledge, gain good grades, get jobs, assist in getting promotions through quality learning material.

- You can write to us
- help@freevideolectures.com

2018 FreeVideoLectures. All rights reserved. FreeVideoLectures only promotes free course material from different sources, we are not endrosed by any university.