Theory of Elasticity and Plasticity Handwritten Premium Lecture Notes, Prepared by Buvana. Syllabus is Based on Anna University , Post Graduate M.E. Structural Engineering R2013 Regulations
CONTENT:
Unit-1 (Pages: 36)
ELASTICITY
Unit-2 (Pages: 26)
ELASTIC SOLUTION
UNIT-3 (Pages: 22)
TORSION OF NON – CIRCULAR SECTION
UNIT-4 (Pages: 18)
ELASTIC FOUNDATION
UNIT-5 (Pages: 16)
THEORY OF PLASTICITY
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Unit-1
ELASTICITY
Types of stress
Bending equation
Strain
Longitudinal strain
Lateral strain
Poisson strain
Determinate structure
Indeterminate structure
Materials
Homogeneous
Isotropic
Analysis of stress and strain
3D equation of equilibrium
Problems
Analysis of strain
Principle stresses
Plane stress problem
Method of solution of elastic problem
First value boundary problem
Second boundary value problem
Mixed boundary value problem
Plane stress
Boundary condition in terms of stress
Unit-2
ELASTIC SOLUTION
Two dimensional problem in Cartesian co – ordinates
Airys stress function method
Complex potential method
Cauchy’s integral method
Fourier transfer method
Real potential method
Plane stress
Polynomials
To satisfies the equilibrium condition
To satisfies the boundary condition
Polynomial for three degree
Fourth degree of polynomial
Bending of a cantilever beam loaded at the end
UNIT-3
TORSION OF NON – CIRCULAR SECTION
St.venant’s principle
Stress distribution
Boundary condition
Torsion of the non linear section
Torsion of thin walled tube
Thin walled open section
UNIT-4
ELASTIC FOUNDATION
Winkler foundation
Governing equation for uniform straight beams on elastic foundation
Beam on elastic foundation
Concentrated moment
Uniformly distributed loads
Method of elastic line
Simply supported beam with point load and UDL
UNIT-5
THEORY OF PLASTICITY
Crystal grains
Mechanism of plastic deformation
Consecutive stages of deformation
Elastic deformation
Plastic deformation
Fracture
Inelastic deformation
Factors affecting plastic deformation
Strain hardenings
Strain relationship
Rigid materials
Perfectly linear elastic materials
Rigid, perfectly plastic
Rigid with strain hardening
Elastic , perfectly plastic
Elastoplastic with strain hardening
Visco elastic materials
Linear standard body
Theories of plastic flow
Maximum principle stress theory
Maximum principle strain theory
Strain energy theorydirection energy theory
Maximum shear stress theory
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