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Sathyabama Institute of Science and Technology B.E. - Aeronautical Engineering SAEA3011 Plates and Shells Syllabus

SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF MECHANICAL ENGINEERING

SAEA3011 PLATES AND SHELLS
L T P Credits Total Marks
3 0 0 3 100

UNIT 1 INTRODUCTION 9 Hrs.
Classical Plate Theory - Assumptions – Differential Equations – Boundary Conditions. Plate and Shell Structures in
Aerospace Vehicles. Flexural rigidity of plates. Flexural rigidity of shells.

UNIT 2 PLATES OF VARIOUS SHAPES 9 Hrs.
Navier’s Method of Solution for Simply Supported Rectangular Plates – Levy’s Method of Solution for Rectangular Plates
under Different Boundary Conditions – Circular plates. Pure pending of plates. Isotropic and orthotropic flat plates.

UNIT 3 EIGEN VALUE ANALYSIS 9 Hrs.
Stability and Free Vibration Analysis of Rectangular Plates. Method of calculation of critical loads. Buckling of simply
supported rectangular plates uniformly compressed in one direction. Buckling of uniformly compressed rectangular plates
simply supported along two opposite sides perpendicular to the direction of compression and having various edge conditions
along the other two sides. Critical values of compressive stress.

UNIT 4 BENDING OF THIN SHELLS 9 Hrs.
Deformation of an element of a shell. Expression for components of normal stresses. Flexural rigidity of shell. Basic
Concepts of Shell Type of Structures – Membrane and Bending Theories for Circular Cylindrical Shells.

UNIT 5 APPROXIMATE METHODS 9 Hrs.
Rayleigh – Ritz, Galerkin Methods– Finite Difference Method – Application to Rectangular Plates for Static, Free Vibration
and Stability Analysis.
Max 45 Hrs.

COURSE OUTCOMES
On completion of the course, students will be able to.
CO1 - Recall concept and evolution of plates and shell.
CO2 - Compare the mathematical modeling and numerical methods.
CO3 - Understand the working methodology of various finite element methods.
CO4 - Recognize the various functions of approximation methods.
CO5 - Analyze the quality of structural grids and suitable shapes and methods for it.
CO6 - Distinguish the problems application based.

TEXT / REFERENCE BOOKS
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.
3. Harry Kraus, ‘Thin Elastic Shells’, John Wiley and Sons, 1987.
4. 4 Gural, A. C. Stresses in Plates and Shells. 2nd ed. New York, NY: McGraw Hill, 1998.
5. Timoshenko, S.P. Winowsky. S., and Kreger, Theory of Plates and Shells, McGraw Hill Book Co., 1990.

END SEMESTER EXAMINATION QUESTION PAPER PATTERN
Max. Marks: 100 Exam Duration: 3 Hrs.
PART A: 10 Questions of 2 marks each – No Choice 20 Marks
PART B: 2 Questions from each unit of internal choice; each carrying 16 marks 80 Marks