AERO

CAE356: Theory of Elasticity syllabus for Aero 2021 regulation (Professional Elective-VII)

Theory of Elasticity detailed syllabus for Aeronautical Engineering (Aero) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the Aero students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.

For Aeronautical Engineering 6th Sem scheme and its subjects, do visit Aero 6th Sem 2021 regulation scheme. For Professional Elective-VII scheme and its subjects refer to Aero Professional Elective-VII syllabus scheme. The detailed syllabus of theory of elasticity is as follows.

Course Objectives:

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Unit I

BASIC EQUATIONS OF ELASTICITY
Definition of Stress and Strain: Stress – Strain relationships – Equations of Equilibrium, Compatibility equations, Boundary Conditions, Saint Venant’s principle – Principal Stresses, Stress Ellipsoid – Stress invariants.

Unit II

PLANE STRESS AND PLANE STRAIN PROBLEMS
Airy’s stress function, Bi-harmonic equations, Polynomial solutions, Simple two-dimensional problems in Cartesian coordinates like bending of cantilever and simply supported beams.

Unit III

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Unit IV

TORSION
Navier’s theory, St. Venant’s theory, Prandtl’s theory on torsion, semi- inverse method and applications to shafts of circular, elliptical, equilateral triangular and rectangular sections. Membrane Analogy.

Unit V

INTRODUCTION TO THEORY OF PLATES AND SHELLS
Classical plate theory – Assumptions – Governing equations – Boundary conditions – Navier’s method of solution for simply supported rectangular plates – Levy’s method of solution for rectangular plates under different boundary conditions.

Course Outcomes:

At the end of the course, Students will be able to

  1. Estimate the linear elasticity in the analysis of structures such as beams, plates etc.
  2. Determine the facture mechanics of the curved beam subject to loads.
  3. Interpret the two dimensional problems in cartesian and polar coordinates
  4. Determine the response of elastomers based objects
  5. Explain the structural section subjected to torsion

Text Books:

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Reference Books:

  1. Barber, J. R., Elasticity (Solid Mechanics and Its Applications), Springer publishers, 3rd edition, 2010.
  2. Sokolnikoff, I. S., Mathematical Theory of Elasticity, McGraw – Hill, New York, 1978.
  3. Volterra& J.H. Caines, Advanced Strength of Materials, Prentice Hall, New Jersey, 1991.
  4. Wang, C. T., Applied Elasticity, McGraw – Hill Co., New York, 1993.

For detailed syllabus of all the other subjects of Aeronautical Engineering 6th Sem, visit Aero 6th Sem subject syllabuses for 2021 regulation.

For all Aeronautical Engineering results, visit Anna University Aero all semester results direct link.

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