07-02-2015, 04:41 PM

AFFILIATED INSTITUTIONS

ANNA UNIVERSITY :: CHENNAI 600 025

REGULATIONS - 2013

M.E. STRUCTURAL ENGINEERING

First Semester

ST7103 Theory of Elasticity and Plasticity

Scanned Lecture Notes (All Units) - Evangeline Edition

ST7103 Theory of Elasticity and Plasticity Scanned Premium Lecture Notes from Reputed Institutions and Faculties, Contains All Units. Syllabus is Based on Anna University , Post Graduate M.E. Structural Engineering R2013 Regulations.

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Syllabus :

THEORY OF ELASTICITY AND PLASTICITY

UNIT-1 - ELASTICITY (Page No : 1 to 26)

UNIT-2 - ELASTIC SOLUTION (Page No : 27 to 60)

UNIT-3 - TORSION OF NON-CIRCULAR SECTION (Page No : 60 to 82)

UNIT-4 - ELASTIC FOUNDATION (Page No : 90 to 98)

UNIT-5 - THEORY OF PLASTICITY (79 to 83 and 99 to 128)

Content :

UNIT-1

ELASTICITY

Stress

Types of stress

1. Axial stress

2. Shear stress

3. Bending stress

Strain

Types of strain

1. Longitudinal

2. Lateral strain

Poisson ratio

Determinate structure

Indeterminate structure

Materials

1. Homogeneous

2. Isotropic

Problems

Analysis of strain

Strain-compatibility equation

Principle stresses

Plane stress problem

Tensor

Rotation matric

Methods of solution of elastic problem

1. First boundary value problem

2. Second boundary value problem

3. Mixed boundary value problem

Plane stress

Equilibrium equation of plane stress

Strain –displacement relationship

Stress-strain relationship

Strain compatibility

Stress displacement

Strain-displacement relation

Octahedral stress

Boundary condition in terms of stress

Generalized hook’s law

UNIT-2

ELASTIC SOLUTION

Two dimensional problem in Cartesian coordinates

Plane stress

Polynomial for first degree

Polynomial for third degree

Two dimensional in polar coordinates

2d problems in cylindrical coordinates

Stress function

Compatibility equation

UNIT-3

ST.VENANT’S PRINCIPLE

Stress concentration due to circular hole in plate

Stress distribution

Boundary condition

Torsion of non-circular section

Torsion of rolled profile section

Torsion of thin walled tube

UNIT-4

ELASTIC FOUNDATION

Winkler foundation

Governing equations for uniform straight beams on elastic foundation

Semi infinite and finite beams with concentrated loads

UNIT-5

THEORY OF PLASTICITY

Crystal grains

Mechanics of plastic deformation

Consecutive stages of deformation

1. Elastic deformation

2. Plastic deformation

3. Fracture

Inelastic deformation

Factors affecting plastic deformation

1. Type of stress arrangements

2. Deformation temperature

3. Rate of deformation

4. External function

Strain hardening

Stress-strain relationship

Types of criteria

1. Rigid materials

2. Perfectly linear elastic material

3. Rigid , perfectly plastic

4. Rigid with strain hardening

5. Elastic , perfectly plastic

6. Elastoplastic with strain hardening

Viscoelastic material

1. Maxwell body

2. Kelvin voigt body

3. Linear standard body

4. Theories of failure

1. Maximum principle stress theory

2. Maximum principle strain theory

3. Strain energy theory

4. Distortion energy theory

5. Distortional energy

6. Maximum shear stress theory

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