ED7006 PLATES AND SHELLS Syllabus | Anna University ME Engineering Design Second Semester Syllabus Regulation 2013

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Anna University Syllabus - Anna University ME Syllabus

ED7006 PLATES AND SHELLS Syllabus | Anna University ME Engineering Design Second Semester Syllabus Regulation 2013. Below is the Anna University 2013 Regulation Syllabus for 2nd Semester for ME Engineering Design, Textbooks, Reference books, Exam portions, Question Bank, Previous year question papers, Model question papers, Class notes, Important 2 marks, 8 marks, 16 marks topics.
It is applicable for all students admitted in the Academic year 2013-2014 onwards for all its Affiliated institutions in Tamil Nadu.

ED7006 PLATES AND SHELLS L T P C 3 0 0 3

OBJECTIVES:
 To impart knowledge on the behavior of plates and shell elements, their places of utility and of
course the design procedure of such elements in practical applications.
OUTCOME:
After undergoing this course, the students would be in a position to understand the behaviour of
these commonly occurring structural elements in engineering design and would have developed
the capability to design and analyse them in their normal design practice.
UNIT I GENERAL INTRODUCTION 7
Review of equations of elasticity- kinematics, compatibility equations, stress measures- equations
of motions- constitutive relations- transformation of stresses, strains and stiffness-energy
principles and variational methods in elasticity- virtual work-external and internal virtual workvariational
operator- functionals- Euler Lagrange equations- energy principles- Hamilton’s
principle- principle of minimum total potential- applications
UNIT II CLASSICAL THEORY OF PLATES 10
Plates as structural elements- stress and moment resultants- assumptions made in the classical
theory- displacement fields and strains- equations of equilibrium in Cartesian coordinates and in
polar coordinates- boundary conditions – bending of rectangular plates with various boundary
conditions and loading- symmetrical and asymmetrical bending of circular plates-limitations of
19
classical theory- finite element analysis(elementary treatment only; discussion of various elements
used and their capabilities- not for examination)
UNIT III BUCKLING ANALYSIS OF RECTANGULAR PLATES 10
Buckling of simply supported plates under compressive forces- governing equations- the Navier
solution- biaxial compression of a plate- uniaxial compression of a plate- buckling of plates simply
supported on two opposite edges- Levy’s solution- buckling of plates with various boundary
conditions- general formulation- finite element analysis(elementary treatment only; discussion of
various elements used and their capabilities- not for examination)
UNIT IV VIBRATION OF PLATES 9
Governing equations for natural flexural vibrations of rectangular plates- natural vibrations of
plates simply supported on all edges- vibration of plates with two parallel sides simply supported-
Levy’s solution- vibration of plates with different boundary conditions- Rayleigh-Ritz method-
Natural vibration of plates with general boundary conditions- transient analysis of rectangular
plates- finite element analysis(elementary treatment only; discussion of various elements used and
their capabilities- not for examination)
UNIT V ANALYSIS OF THIN ELASTIC SHELLS OF REVOLUTION 9
Classification of shell surfaces- geometric properties of shells of revolution- general strain
displacement relations for shells of revolution- stress resultants- equations of motion of thin shellsanalytical
solution for thin cylindrical shells- membrane theory- flexure under axisymmetric loadsshells
with double curvature- geometric considerations- equations of equilibrium- bending of
spherical shells- vibration of cylindrical shells- finite element analysis(elementary treatment only;
discussion of various elements used and their capabilities- not for examination)
TOTAL: 45 PERIODS
REFERENCES
1. Reddy,J.N., “Theory and Analysis of Elastic Plates & Shells”, C.R.C.Press,NY,USA, 2nd Edition
2. Szilard, R., Theory and Analysis of Plates, Prentice Hall Inc., 1995
3. Timoshenko, S. and Krieger S.W. Theory of Plates and Shells, McGraw Hill Book Company,
New York 1990.
4. Wilhelm Flügge, stresses in shells, Springer - Verlag
5. Timoshenko, S. Theory of Plates and Shells, McGraw Hill, 1990
6. Ramasamy, G.S., Design and Construction of Concrete Shells Roofs,
CBS Publishers, 1986
7. Dr.N.Subramanian, Principles of Space Structures , Wheeler Publishing Co. 1999
8. K. Baskar and T.K. Varadan, “Plates- Theories and Applications”, Ane Books Pvt. Ltd., New
Delhi, 2013