06ME661-Theory Of Elasticity |
PART – A |
UNIT I: |
DEFINITION AND NOTATION: Stress, Stress at a Point, Equilibrium
Equations, Principal Stresses, Mohr’s Diagram, Maximum Shear Stress,
Boundary Conditions.
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UNIT II: |
STRAIN AT A POINT: Compatibility Equations, Principal Strains,
Generalised Hooke’s law, Methods of Solution of Elasticity Problems –
Plane Stress-Plane Strain Problems.
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UNIT III: |
TWO DIMENSIONAL PROBLEMS: Cartesian co-ordinates – Airy’s
stress functions – Investigation of Airy’s Stress function for simple beam
problems – Bending of a narrow cantilever beam of rectangular cross section
under edge load – method of Fourier analysis – pin ended beam under
uniform pressure.
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UNIT IV: |
GENERAL EQUATIONS IN CYLINDRICAL CO-ORDINATES: Thick
cylinder under uniform internal and / or external pressure, shrink and force
fit, stress concentration.
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PART – B |
UNIT V: |
STRESSES IN AN INFINITE PLATE (with a circular hole) subjected to
uniaxial and biaxial loads, stress concentration, stresses in rotating discs and
cylinders.
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UNIT VI: |
TORSION OF CIRCULAR, ELLIPTICAL AND TRIANGULARBARS: membrane analogy, torsion of thin open sections and thin tubes.
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UNIT VII: |
THERMAL STRESSES: Thermo elastic stress strain relationship,
Equations of equilibrium Thermal stresses in thin circular discs and in long
circular cylinder, sphere.
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UNIT VIII: |
UNIQUENESS THEOREM: Principle of super position, reciprocal
theorem, saint venant principle |
REFERENCE |
TEXT BOOKS: |
1. Advanced Mechanics of solids, L. S. Srinath, Tata Mc. Graw Hill,
2003
2. Theory of Elasticity: S. P. Timoshenko and J. N Gordier, Mc.
Graw Hill International, 3rd edition, 1972
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Reference Books |
1. Theory of Elasticity: Dr. Sadhu Singh, Khanna Publications, 1988
2. Elasticity, Theory, Applications & Numericals: Martin H Sadd,
Elsevier. 2005
3. Applied Elasticity, Seetharamu & Govindaraju, Interline Publishing
4. Applied Elasticity, C.T. WANG Sc. D. Mc. Graw Hill Book Co.
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