Theory of Elasticity detail syllabus for Civil Engineering (Civil), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17CV554), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.
For all other civil 5th sem syllabus for be 2017 scheme vtu you can visit Civil 5th Sem syllabus for BE 2017 Scheme VTU Subjects. For all other Professional Elective-1 subjects do refer to Professional Elective-1. The detail syllabus for theory of elasticity is as follows.
Course Objectives:
This course will enable students to
- This course advances students from the one-dimensional and linear problems conventionally treated in courses of strength of materials into more general, two and three-dimensional problems.
- The student will be introduced to rectangular and polar coordinate systems to describe stress and strain of a continuous body.
- Introduction to the stress – strain relationship, basic principles and mathematical expressions involved in continuum mechanics. also solution of problems in 2- dimensional linear elasticity
Module 1
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Module 2
Generalized Hooke’s Law, Stress-strain relationships, Equilibrium equations in terms of displacements and Compatibility equations in terms of stresses, Plane stress and plane strain problems, St. Venant’s principle, Principle of superposition, Uniqueness theorem, Airy’s stress function, Stress polynomials (Two Dimensional cases only).
Module 3
Generalized Hooke’s Law, Stress-strain relationships, Equilibrium equations in terms of displacements and Compatibility equations in terms of stresses, Plane stress and plane strain problems, St. Venant’s principle, Principle of superposition, Uniqueness theorem, Airy’s stress function, Stress polynomials (Two Dimensional cases only). equations of equilibrium, compatibility equation, stress function.
Module 4
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Module 5
Torsion: Inverse and Semi-inverse methods, stress function, torsion of circular, elliptical, triangular sections
Course Outcomes:
After studying this course, students will be able to:
- Ability to apply knowledge of mechanics and mathematics to model elastic bodies as continuum
- Ability to formulate boundary value problems; and calculate stresses and strains
- Ability to comprehend constitutive relations for elastic solids and compatibility constraints;
- Ability to solve two-dimensional problems (plane stress and plane strain) using the concept of stress function.
Text Books:
- S P Timoshenko and J N Goodier, Theory of Elasticity, McGraw-Hill International Edition, 1970.
- Sadhu Singh, Theory of Elasticity, Khanna Publish ers, 2012
- S Valliappan, Continuum Mechanics – Fundamentals, Oxford & IBH Pub. Co. Ltd., 1981.
- L S Srinath, Advanced Mechanics of Solids, Tata – McGraw-Hill Pub., New Delhi, 2003
Reference Books:
- C. T. Wang, Applied Elasticity, Mc-Graw Hill Book Company, New York, 1953
- G. W. Housner and T. Vreeland, Jr., The Analysis o f Stress and Deformation, California Institute of Tech., CA, 2012. [Download as per user policy from http: / /resolver.caltech.edu/CaltechBoOK: 1965.001]
- A. C. Ugural and Saul K. Fenster, Advanced Strength and Applied Elasticity, Prentice Hall, 2003.
- Abdel-Rahman Ragab and Salah Eldinin Bayoumi, Engineering Solid Mechanics: Fundamentals and Applications, CRC Press,1998
For detail syllabus of all other subjects of BE Civil, 2017 regulation do visit Civil 5th Sem syllabus for 2017 Regulation.
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