ST4101 Theory of Elasticity and Plasticity Syllabus:

ST4101 Theory of Elasticity and Plasticity Syllabus – Anna University PG Syllabus Regulation 2021

OBJECTIVE:

 To develop the ability to use the principles of theory of elasticity in engineering problems and to introduce theoretical fundamentals of theory of plasticity

UNIT I ELASTICITY

Analysis of stress and strain, Equilibrium Equations – Compatibility Equations – Stress Strain Relationship. Generalized Hooke’s law-Constitutive Equations

UNIT II 2D STRESS STRAIN PROBLEMS

Plane stress and plane strain – Simple two-dimensional problems in Cartesian and Polar Coordinates.

UNIT III TORSION OF NON-CIRCULAR SECTION

St. Venant’s approach – Prandtl’s approach – Membrane analogy – Torsion of Thin Walled- Open and Closed sections-Design approach to open web section subjected to torsion – Finite Difference Method

UNIT IV BEAMS ON ELASTIC FOUNDATIONS

Beams on Elastic foundation – Methods of analysis – Elastic line method – Idealization of soil medium – Winkler model – Infinite beams – Semi-infinite and finite beams – Rigid and flexible – Uniform Cross Section – Point load and UDL – Solution by Finite Differences.

UNIT V PLASTICITY

Physical Assumptions – Yield Criteria – Failure Theories –Thick Cylinder – Plastic Stress Strain Relationship – Bending and Torsion in Elasto-Plastic Materials -Strain hardening Materials

OUTCOMES:

On completion of this course, the student is expected to be able to
CO1 Derive and write the fundamental equations of elasticity describing the linear behavior of elements and develop constitutive models based on material behavior
CO2 Demonstrate the application of plane stress and plane strain in a given situation in both cartesian and polar coordinate systems
CO3 Solve torsion problems in circular and non-circular cross-sections
CO4 Analyse beams resting on elastic foundations
CO5 Solve analytically the simple boundary value problems with elasto-plastic and strain hardening properties

REFERENCES:

1. Ansel.C.Ugural and Saul.K.Fenster, “Advanced Strength and Applied Elasticity,” Fourth Edition, Prentice Hall Professional Technical Reference, New Jersey, 2003.
2. Chakrabarty. J, “Theory of Plasticity”, Third Edition, Elsevier Butterworth – Heinmann – UK, 2007.
3. Jane Helena H, “Theory of Elasticity and Plasticity”, PHI, New Delhi 2017.
4. Slater R.A.C, “Engineering Plasticity”, John Wiley and Son, New York, 1977.
5. Timoshenko, S. and GoodierJ.N ” Theory of Elasticity”, Third Edition, McGraw Hill Book Co., New York, 2017.