AE2029 THEORY OF PLATES AND SHELLS last year question paper and class notes

AE2029 THEORY OF PLATES AND SHELLS

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