# JNTUH B.TECH R18 3-1 Syllabus For theory of elasticity PDF 2022

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You will be able to find information about theory of elasticity along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding theory of elasticity after reading this blog. theory of elasticity has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. theory of elasticity can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

All of the Topic and subtopics related to theory of elasticity are mentioned below in detail. If you are having a hard time understanding theory of elasticity or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.

### theory of elasticity Unit One

#### 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

### theory of elasticity Unit Two

#### 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.

### theory of elasticity Unit Three

#### 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.

### theory of elasticity Unit Four

#### 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.

### theory of elasticity Unit Five

#### UNIT – V

Torsion of Circular Shafts – Torsion of Straight Prismatic Bars – Saint Venants 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.

### theory of elasticity Course Objectives

To Introduce fundamental elasticity model of deformation in rectangular and polar coordinate.
To Give foundation for 2D and 3D study in solid mechanics problems.
To Introduce to torsion and warping of prismatic structure

### theory of elasticity Course Outcomes

At the end of the course the student will able to
The more fundamental elasticity model of deformation should replace elementary strength of material analysis.
Able to understand theory, formulate and to present solutions to a wide class of problems in 2D and 3D
Acquire the foundation for advanced study in areas of solid mechanics

### theory of elasticity Text Books

Concrete Technology by M.S. Shetty. – S. Chand & Co.; 2004
Concrete Technology by A.R. Santhakumar, 2nd Edition, Oxford university Press, New Delhi
Concrete Technology by M. L. Gambhir. – Tata Mc. Graw Hill Publishers, New Delhi

### theory of elasticity Reference Books

Theory of Elasticity by Y.C.Fung.
Theory of Elasticity by Gurucharan Singh.

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Information about JNTUH B.Tech R18 theory of elasticity was provided in detail in this article. To know more about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application. Click below to download the CynoHub application.