AE1010 Theory of Plates and Shells Syllabus

AE1010 THEORY OF PLATES AND SHELLS 3 0 0 100

OBJECTIVE
To study the behaviour of the plates and shells with different geometry under various types of loads.

1. CLASSICAL PLATE THEORY 3
Classical Plate Theory – Assumptions – Differential Equation – Boundary Conditions.

2. PLATES OF VARIOUS SHADES 15
Navier’s Method of Solution for Simply Supported Rectangular Plates –
Leavy’s Method of Solution for Rectangular Plates under Different Boundary Conditions. Governing Equation – Solution for Axi-symmetric loading – Annular Plates – Plates of other shapes.

3. EIGEN VALUE ANALYSIS 8
Stability and free Vibration Analysis of Rectangular Plates.

4. APPROXIMATE METHODS 10
Rayleigh – Ritz, Galerkin Methods– Finite Difference Method – Application to Rectangular Plates for Static, Free Vibration and Stability Analysis.

5. SHELLS 9
Basic Concepts of Shell Type of Structures – Membrane and Bending Theories for Circular Cylindrical Shells.

TOTAL : 45

TEXT BOOK
1. Timoshenko, S.P. Winowsky. S., and Kreger, “Theory of Plates and Shells”, McGraw-Hill Book Co. 1990.

REFERENCES
1. Flugge, W. “Stresses in Shells”, Springer – Verlag, 1985.
2. Timoshenko, S.P. and Gere, J.M., “Theory of Elastic Stability”, McGraw-Hill Book Co. 1986.
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