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MSTE 204R02 / MST CCE 803 STABILITY OF STRUCTURES L

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CourseObjective: To give a basic knowledge to the learners about the behaviour and analysis of structuralcomponentsandsystems. Unit I Stability of Columns 12 Periods Concepts of Elastic Structural stability- Analytical approaches to stability - characteristics of stability analysis- Elastic Buckling of columns- Equilibrium; Energy and Imperfection approaches – Non-prismatic columns- Built up columns- orthogonality of buckling modesEffect of shear on buckling load - Large deflection theory. Unit II Methods of Analysis and In Elastic Buckling 14 Periods Approximate methods – Rayleigh and Galerkin methods – numerical methods – Finite difference and finite Element - analysis of columns – Experimental study of column behaviour – South well plot - Column curves - Derivation of Column design formula Effective length of Columns - Inelastic behaviour- Tangent modulus and Double modulus Theory Unit III Beam Columns and Frames 14 Periods Beam column behaviour- standard cases- Continuous columns and beam columns – Column on elastic foundation – Buckling of frames – Single storey portal frames with and without side sway – Classical and stiffness methods – Approximate evaluation of critical loads in multistoried frames – Use of Wood’s charts. Unit IV Buckling of Beams and thin Plates 20 Periods Lateral buckling of beams – Energy method- Application to Symmetric and simply symmetric I beams – simply ed and Cantilever beams - Narrow rectangular cross sections- – Numerical solutions – Torsional buckling – Uniform and non uniform Torsion on open cross section - Flexural torsional buckling – Equilibrium and energy approach. Isotropic rectangular plates - Governing Differential equations - Simply ed on all edges – Use of Energy methods – Plates with stiffeners – Numerical Techniques. REFERENCES: 1. Ashwinikumar, “Stability of Structures”, Allied Publishers Ltd, 1998 2. NGR Iyengar, “Structural Stability of Columns and Plates” d East- West Press Pvt. Ltd 1988 3. Stephen P. Timoshenko and Gere “Theory of Elastic stability”, McGraw-Hill Company, 2009 4. Allen, H.G and Bulson, P.S., Background to Buckling McGraw-Hill Book Company,1980 5. Smitses, “Elastic Stability of Structures”, Prentice Hall, 1986 6. Brush and Almorth, “"Buckling of Bars, plates and shells”, McGraw-Hill Book Company, 1975. 7. http://nptel.ac.in/courses/IITMADRAS/Design_Steel_Structures_I/5_compression/2_elastic_buckling .pdf 8. http://nptel.ac.in/courses/IITMADRAS/Design_Steel_Structures_I/6_beams/3_behaviour_of_steel_be ams.pdf

LEARNING OUTCOMES The learner will have an understanding of the concepts in the theory of Unit I structural stability and analyse the stability of prismatic, non prismatic and built-up columns with various boundary conditions and loads.

Unit II

The learner will be able to compute the critical elastic buckling loads of prismatic, non prismatic columns using approximate and numerical methods. In addition, the learner will have an understanding of the concepts of inelastic behaviour of columns.

Unit III

The learner will be able to compute the critical elastic buckling loads of beam columns. In addition, the learner will be able to analyse the stability of the portal frames and multi storied frames with classical and numerical matrix methods.

Unit IV

The learner will be able to analyse lateral-torsional buckling and flexural torsional buckling of rectangular and I-beams under various boundary conditions and loads. He/She will have an understanding about the behaviour of plates and will be able to calculate the critical elastic buckling stress of thin plates with and without stiffeners.