Theory of Elasticity Detailed Syllabus for Engineering Design M.Tech first year first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Theory of Elasticity M.Tech 2017-2018 (R17) first year first sem is as follows.
M.Tech. I Year I Sem.
UNIT – I : ELASTICITY: Two dimensional stress analysis – Plane stress – Plane strain – Equations of compatibility – Stress function – Boundary conditions. PROBLEM IN RECTANGULAR COORDINATES – Solution by polynomials – Saint Venent’s principles – Determination of displacement – Simple beam problems. PROBLEMS IN POLAR COORDINATES – General equations in polar coordinates – Stress distribution symmetrical about axis – Strain components in polar coordinates – Simple and symmetric problems.
UNIT – II : ANALYSIS OF STRESS AND STRAIN IN THREE DIMENSIONS: Principle stresses – Homogeneous deformations – Strain spherical and deviatoric stress – Hydrostatic strain. General theorems: Differential equations of equilibrium and compatibility – Displacement – Uniqueness of solution – Reciprocal theorem.
UNIT – III : BENDING OF PRISMATIC BARS: Stress function – Bending of cantilever beam – Beam of rectangular cross-section – Beams of circular cross-section.
UNIT – IV : Torsion: torsion of straight bars, Elliptic cross section, Membrane Analogy, torsion of a bar of narrow rectangular cross section, Torsion of rectangular bars, solution of torsional problems by energy method, Hydrodynamical Analogies, Torsion of hallow shafts, Torsion of thin tubes
UNIT – V : Axisymmetric stress and deformation in a solid of revolution: General equations, Solution by polynomials, Bending of a Circular plate, The rotating disc as a three dimensional problem, Pressure between two spherical bodies in contact, Pressure between two bodies in contact. More general care, symmetrical deformation of a circular cylinder, the circular cylinder with a band of pressure
REFERENCES:
- Theory of Elasticity/Timoshenko S.P. and Goodier J.N./Koakusha Publishers
- An Engineering Theory of Plasticity/E.P. Unksov/Butterworths
- Applied Elasticity/W.T. Wang/TMH
- Theory of Plasticity for Engineers/Hoffman and Sacks/TMH
- Theory of Elasticity and Plasticity/Sadhu Singh/ Khanna Publishers
- Theory of Elasticity and Plasticity/Harold Malcolm Westergaard/Harvard University Press
For all other M.Tech 1st Year 1st Sem syllabus go to JNTUH M.Tech Engineering Design 1st Year 1st Sem Course Structure for (R17) Batch.
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