## Sunday, March 2, 2014

### AO7010 THEORY OF ELASTICITY Syllabus

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### AO7010 THEORY OF ELASTICITY Syllabus | Anna University ME Aeronautical Engineering Second Semester Syllabus Regulation 2013. Below is the Anna University 2013 Regulation Syllabus for 2nd Semester for ME Aeronautical engineering, 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. Anna University Chennai Syllabus AO7010 THEORY OF ELASTICITY L T P C 3 0 0 3 OUTCOME: Upon completion of the course, students will understand the theoretical concepts of material behaviour with particular emphasis on their elasticity property. UNIT I INTRODUCTION 6 Definition, notations and sign conventions for stress and strain – Stress - strain relations, Straindisplacement relations- Elastic constants. UNIT II BASIC EQUATIONS OF ELASTICITY 10 Equations of equilibrium – Compatibility equations in strains and stresses –Boundary Conditions - Saint-Venant’s principle - Stress ellipsoid – Stress invariants – Principal stresses in 2-D and 3-D. UNIT III 2 - D PROBLEMS IN CARTESIAN COORDINATES 9 Plane stress and plain strain problems - Airy’s stress function – Biharmonic equations – 2-D problems – Cantilever and simply supported beams. UNIT IV 2 - D PROBLEMS IN POLAR COORDINATES 12 Equations of equilibrium – Strain – displacement relations – Stress – strain relations – Airy’s stress function – Use of Dunder’s table. - Axisymmetric problems - Bending of Curved Bars - Circular Discs and Cylinders – Rotating Discs and Cylinders - Kirsch, Boussinasque’s and Michell’s problems. UNIT V TORSION 8 Coulomb’s theory-Navier’s theory-Saint Venant’s Semi-Inverse method – Torsion of Circular, Elliptical and Triangular sections - Prandtl’s theory-Membrane analogy. TOTAL: 45 PERIODS REFERENCES 1. Ugural, A.C and Fenster, S.K, Advanced Strength and Applied Elasticity, Prentice hall, 2003 2. Wang, C.T. Applied elasticity, McGraw Hill 1993 3. Enrico Volterra and Caines, J.H, Advanced strength of Materials, Prentice Hall,1991. 4. S.P. Timoshenko and J.N. Goodier, Theory of Elasticity, McGraw-Hill, 1985. 5. E. Sechler, “Elasticity in Engineering” John Wiley & Sons Inc., New York, 1980.

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