Course Details
Subject {L-T-P / C} : CE6200 : Stability of Structures { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Shyamal Guchhait
Syllabus
Module I- Buckling of Beam-Column: Buckling Phenomenon Differential Equations for Beam-Columns Beam-Column subjected to a Concentrated Lateral Load, Uniformly Distributed Load and End Moments Use of Differential Equations to Beam-Columns Application of Trigonometric Series to Beam and Beam-Columns
Module II- Elastic Buckling of Bars and Frames: Determination of Critical Load from Differential Equation for Columns with Various Boundary Conditions Euler’s Column Formula Determination of Critical Load from Differential Equation for Frames
Module III- Elastic Buckling by Energy Methods: Approximate calculation of Critical Load by Energy Method Rayleigh-Ritz Method Effect of Shear Force on Critical Load
Module IV- Torsional Buckling: Pure Torsion of Thin-Walled Bars of Open Cross Section Warping Displacements for Pure Torsion of a Channel Cross-Section Nonuniform Torsion of Thin-Walled Bars of Open Cross-Section Nonuniform Torsion Applied to a Bar of Any Open Cross-Section Evaluation of the Warping Constant for a Channel Section Doubly Symmetrical Thin-Walled Bar
Module V- Flexural-Torsional Buckling: Lateral Buckling of Beams in Pure Bending Lateral Buckling of a Cantilever Beam and Narrow Rectangular Beam Lateral buckling of a simply supported I beam.
Course Objectives
- Students will be able to achieve fundamental understanding of the subject of stability of structures.
- Students will be able to determine the critical state(s) of a structural system and use such information to enhance the analysis and design process.
- Students will be able to find out solutions for complex problems involving torsional or flexural-torsional buckling in diverse fields of civil Engineering
Course Outcomes
1. Students will understand the concept and theories related to buckling of Beam-Column. <br />2. Students will be able to determine the critical loads for elastic buckling of bars and frames. <br />3. Students will be able to find out the critical loads of structures by Energy Methods. <br />4. Students will be able to find out solutions of Torsional Buckling problems for uniform and non-uniform cross sections. <br />5. Students will be able to learn applications of torsional theories for complex problems involving Flexural-Torsional buckling.
Essential Reading
- S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, McGraw-Hill Book Company
- A. Chajes, Principles of Structural Stability Theory, Prentice-Hall Inc.
Supplementary Reading
- A. Kumar, Stability of Structures, Allied Publishers Ltd.
- T. V. Galombos, Structural members and frames, Prentice Hall Inc.