Theory of Elasticity Detailed Syllabus for Structural Engineering 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.
Course Objectives: To impart knowledge on the basic concepts of theory of elasticity, and solve the Structural Engineering problems.
Course outcomes: The learner will be able to solve problems of elasticity and be able to apply numerical methods to solve continuum problems.
UNIT-I : Introduction: Elasticity – notation for forces and stress – components of stresses – components of strain – Hooks law. Plane stress and plane strain analysis – differential equations of equilibrium – boundary conditions – Strain Displacement Relations – compatibility equations – stress function
UNIT – II : Two dimensional problems in rectangular coordinates – solution by polynomials – Saint-Venants principle – determination of displacements – bending of simple beams – Simple Supported and Cantilever Beam.
UNIT – III : Two dimensional problems in polar coordinates – stress distribution symmetrical about an axis – pure bending of curved bars – strain components in polar coordinates – displacements for symmetrical stress distributions Edge Dislocation – general solution of two-dimensional problem in polar coordinates – application to Plates with Circular Holes – Rotating Disk. Bending of Prismatic Bars: Stress function – bending of cantilever – circular cross section – elliptical cross section – rectangular cross section.
UNIT – IV : Analysis of stress and strain in three dimensions – principal stress – stress ellipsoid – director surface – determination of principal stresses Stress Invariants – max shear stresses Stress Tensor – Strain Tensor- Homogeneous deformation – principal axes of strain-rotation. General Theorems:Differential equations of equilibrium – conditions of compatibility – determination of displacement – equations of equilibrium in terms of displacements – principle of super position – uniqueness of solution – the reciprocal theorem Strain Energy.
UNIT – V : Torsion of Circular Shafts – Torsion of Straight Prismatic Bars– Saint Venant’s Method – torsion of prismatic bars – bars with elliptical cross sections – membrane analogy – torsion of a bar of narrow rectangular bars – solution of torsional problems by energy method – torsion of shafts, tubes , bars etc. – Torsion of Rolled Profile Sections.
TEXT BOOKS
- Theory of Elasticity by Timoshenko, Mc-Graw hill Publications
- Advanced Mechanics of Materials by Arthur P. Boresi, John Willey publishers
REFERENCES:
- Theory of Elasticity by Y.C. Fung, Dover publications, New york
- Theory of Elasticity by Sadhu singh, Khanna Publishers
- Advanced Mechanics of solids by L.S.Srinath, Tata Mc-Graw Hill
- Continuum Mechanics by P.N. ChandraMouli, Yes Dee Publishers
For all other M.Tech 1st Year 1st Sem syllabus go to JNTUH M.Tech Structural Engineering 1st Year 1st Sem Course Structure for (R17) Batch.
All details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.
Do share with friends and in case of questions please feel free drop a comment.