AE2021 THEORY OF ELASTICITY SYLLABUS | ANNA UNIVERSITY BE AERONAUTICAL ENGINEERING 6TH SEMESTER SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY SIXTH SEMESTER B.E AERONAUTICAL ENGINEERING 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), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
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.
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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