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### AE2021 THEORY OF ELASTICITY| ANNA UNIVERSITY BE AERONAUTICAL 6TH SEMESTER SYLLABUS | APPLICABLE TO CHENNAI,MADURAI,TRICHY,TIRUNELVELI,COIMBATORE| QUESTION BANK

AE2021 THEORY OF ELASTICITY| ANNA UNIVERSITY BE AERONAUTICAL 6TH SEMESTER SYLLABUS | APPLICABLE TO CHENNAI,MADURAI,TRICHY,TIRUNELVELI,COIMBATORE| QUESTION BANK
AE2021 THEORY OF ELASTICITY L T P C
3 0 0 3
OBJECTIVE
To understand the theoretical concepts of material behaviour with particular emphasis on
their elastic property
70
UNIT I ASSUMPTIONS IN ELASTICITY 4
Definitions- notations and sign conventions for stress and strain, Equations of equilibrium.
UNIT II BASIC EQUATIONS OF ELASTICITY 15
Strain – displacement relations, Stress – strain relations, Lame’s constant – cubical
dilation, Compressibility of material, bulk modulus, Shear modulus, Compatibility
equations for stresses and strains, Principal stresses and principal strains, Mohr’s circle,
Saint Venant’s principle.
UNIT III PLANE STRESS AND PLANE STRAIN PROBLEMS 8
Airy’s stress function, Bi-harmonic equations, Polynomial solutions, Simple twodimensional
problems in Cartesian coordinates like bending of cantilever and simply
supported beams, etc.
UNIT IV POLAR COORDINATES 10
Equations of equilibrium, Strain displacement relations, Stress – strain relations, Axi –
symmetric problems, Kirsch, Michell’s and Boussinesque problems.
UNIT V TORSION 8
Navier’s theory, St. Venant’s theory, Prandtl’s theory on torsion, The semi- inverse method
and applications to shafts of circular, elliptical, equilateral triangular and rectangular
sections.
TOTAL: 45 PERIODS
TEXT BOOK
1. Timoshenko, S., and Goodier, T.N., “Theory of Elasticity”, McGraw–Hill Ltd., Tokyo,
1990.
REFERENCES
1. Enrico Volterra & J.H. Caines, “Advanced Strength of Materials”, Prentice Hall New
Jersey, 1991.
2. Wng, C.T., “Applied Elasticity”, McGraw–Hill Co., New York, 1993.
3. Sokolnikoff, I.S., “Mathematical Theory of Elasticity”, McGraw–Hill New York, 1978.
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