AE6006 - THEORY OF PLATES AND SHELLS (Syllabus) 2013-regulation Anna University

AE6006 - THEORY OF PLATES AND SHELLS (Syllabus) 2013-regulation Anna University

AE6006	THEORY OF PLATES AND SHELLS	LPTC

3003

OBJECTIVES:

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

UNIT I	CLASSICAL PLATE THEORY	3

Classical Plate Theory – Assumptions – Differential Equation – Boundary Conditions.

UNIT II	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.

UNIT III	EIGEN VALUE ANALYSIS	8

Stability and free Vibration Analysis of Rectangular Plates.

UNIT IV	APPROXIMATE METHODS	10

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

UNIT V	SHELLS	9

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

TOTAL : 45 PERIODS

OUTCOMES:

• Ability to use different theories to plate and shell
• Perform stability and free vibration calculations
• Use of different methods for stability analysis

TEXT BOOKS:

1. Timoshenko, S.P. Winowsky. S., and Kreger, “Theory of Plates and Shells”, McGraw-Hill Book Co. 1990.
2. Varadan. T. K. and Bhaskar. K., “Theory of Plates and Shells”, 1999, Narosa.

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