ED9261 THEORY OF PLATES AND SHELLS SYLLABUS | ANNA UNIVERSITY ME CAD COMPUTER AIDED DESIGN 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER ME CAD COMPUTER AIDED DESIGN DEPARTMENT SYLLABUS, 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 YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
ED9261 THEORY OF PLATES AND SHELLS LT P C
3 0 0 3 OBJECTIVE:
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 work- variational 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 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 equationsthe
Navier solution- biaxial compression of a plate- uniaxial compression of a platebuckling
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)
22
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 shells- analytical solution for thin cylindrical shells- membrane theoryflexure
under axisymmetric loads- shells 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
ED9261 THEORY OF PLATES AND SHELLS LT P C
3 0 0 3 OBJECTIVE:
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 work- variational 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 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 equationsthe
Navier solution- biaxial compression of a plate- uniaxial compression of a platebuckling
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)
22
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 shells- analytical solution for thin cylindrical shells- membrane theoryflexure
under axisymmetric loads- shells 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
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