{"id":9065,"date":"2018-08-25T19:06:33","date_gmt":"2018-08-25T19:06:33","guid":{"rendered":"https:\/\/www.inspirenignite.com\/jntuh\/?p=9065"},"modified":"2026-05-24T10:57:29","modified_gmt":"2026-05-24T05:27:29","slug":"jntuh-m-tech-2017-2018-r17-detailed-syllabus-theory-of-elasticity","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/jntuh-m-tech-2017-2018-r17-detailed-syllabus-theory-of-elasticity\/","title":{"rendered":"JNTUH M.Tech 2017-2018 (R17) Detailed Syllabus Theory of Elasticity"},"content":{"rendered":"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.\r\n\r\nThe detailed syllabus for Theory of Elasticity M.Tech 2017-2018 (R17) first year first sem is as follows.\r\n\r\nM.Tech. I Year I Sem.\r\n\r\nCourse Objectives:<\/strong> To impart knowledge on the basic concepts of theory of elasticity, and solve the Structural Engineering problems.\r\n\r\nCourse outcomes:<\/strong> The learner will be able to solve problems of elasticity and be able to apply numerical methods to solve continuum problems.\r\n\r\nUNIT-I : Introduction:<\/strong> 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 \u2013 Strain Displacement Relations – compatibility equations – stress function\r\n\r\nUNIT – II : Two dimensional problems in rectangular coordinates<\/strong> – solution by polynomials – Saint-Venants principle – determination of displacements – bending of simple beams \u2013 Simple Supported and Cantilever Beam.\r\n\r\nUNIT – III : Two dimensional problems in polar coordinates –<\/strong> 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 \u2013 Rotating Disk. Bending of Prismatic Bars: Stress function – bending of cantilever – circular cross section – elliptical cross section – rectangular cross section.\r\n\r\nUNIT – IV : Analysis of stress and strain in three dimensions –<\/strong> principal stress – stress ellipsoid – director surface – determination of principal stresses Stress Invariants – max shear stresses Stress Tensor \u2013 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.\r\n\r\nUNIT – V : Torsion of Circular Shafts –<\/strong> Torsion of Straight Prismatic Bars\u2013 Saint Venant\u2019s 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.\r\n\r\nTEXT BOOKS<\/strong>\r\n