ST4002 Structural Stability Syllabus:

ST4002 Structural Stability Syllabus – Anna University PG Syllabus Regulation 2021

OBJECTIVE:

 To study the concept of buckling and analysis of structural elements

UNIT I BUCKLING OF COLUMNS

States of equilibrium – concept of equilibrium, energy, imperfection and vibration approaches to stability analysis. Governing equation for column buckling – critical load using Equilibrium, Energy methods – Approximate methods – Rayleigh Ritz, Galerkins approach – Numerical Techniques – Finite difference method.

UNIT II BUCKLING OF BEAM-COLUMNS AND FRAMES

Theory of beam column – Stability analysis of beam column with single and several concentrated loads, distributed load and end couples – Analysis of rigid jointed frames with and without sway – Use of stability function to determine the critical load.

UNIT III TORSIONAL AND LATERAL BUCKLING

Torsional buckling – Combined Torsional and flexural buckling – Local buckling – Buckling of Open Sections – Lateral buckling of beams – simply supported and cantilever beams.

UNIT IV BUCKLING OF PLATES

Governing differential equation – Buckling of thin plates with various edge conditions – Analysis by equilibrium and energy approach – Finite difference method.

UNIT V INELASTIC BUCKLING

Double modulus theory – Tangent modulus theory – Shanley’s model – Eccentrically loaded inelastic column. Inelastic buckling of plates – Post buckling behaviour of plates.

OUTCOMES:

On completion of this course, the student is expected to be able to
CO1 Explain the phenomenon of buckling of columns and calculate the buckling load on column by various approaches
CO2 Estimate the buckling load of beam – columns and frames
CO3 Explore the concepts of torsional and lateral buckling of thin walled members
CO4 Explain the phenomenon of buckling of plates
CO5 Analyze the inelastic buckling of columns and plates

REFERENCES:

1. Ashwini Kumar, “Stability Theory of Structures”, Allied publishers Ltd., New Delhi, 2003.
2. Chajes, A. “Principles of Structures Stability Theory”, Prentice Hall, 1974.
3. Gambhir.M.L, “Stability Analysis and Design of Structures”, springer, New York, 2013.
4. Simitser.G.J and Hodges D.H, ”Fundamentals of Structural Stability”, Elsevier Ltd., 2006.
5. Timoshenko.S.P, and Gere.J.M, “Theory of Elastic Stability”, Dover Publication, 2012.