# Theory of Elasticity

By Prof. Amit Shaw, Prof. Biswanath Banerjee   |   IIT Kharagpur
Learners enrolled: 440
In this course the concept of elasticity, an important property of solids will be discussed in a comprehensive way. Idealization of physical system, representing the idealized system through mathematical equation and finally finding solution of those equations are the key features that constitute the structure of this course. In this course emphasis will be given on both theory and applications.

INTENDED AUDIENCE
Civil Engineering, Mechanical Engineering, Aerospace Engineering, Naval Architecture, Applied Mechanics

PREREQUISITES : Engineering Mechanics

INDUSTRY SUPPORT Any Civil, Mechanical and Aerospace company
Summary
 Course Status : Completed Course Type : Elective Duration : 12 weeks Category : Civil Engineering Structural Analysis Credit Points : 3 Level : Undergraduate/Postgraduate Start Date : 25 Jul 2022 End Date : 14 Oct 2022 Enrollment Ends : 08 Aug 2022 Exam Date : 29 Oct 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

### Course layout

Week 1  :  Mathematical Preliminaries Introduction to Tensor
Week 2  :  Concept of Stresses and Strains
Week 3  :  Material Behaviour– 1 General anisotropic material, strain energy density, constitutive relation
Week 4  :  Material Behaviour– 2 Material symmetry, linear elastic material, Generalized Hook’s law
Week 5 :  Formulation of boundary value problems in elasticity Equilibrium, compatibility, formulation in Cartesian and Polar coordinates
Week 6  :  Solution of boundary value problems in elasticity– 1 Plane stress and plane strain problems
Week 7  :  Solution of boundary value problems in elasticity– 1 Problems in flexure
Week 8  :  Solution of boundary value problems in elasticity– 1 Problems in Torsion
Week 9  :  Introduction to Thermo-elasticity
Week 10 :  Introduction to photo-elasticity
Week 11 :  Introduction Nonlinear elasticity
Week 12 :  Introduction to photo-elasticity

### Books and references

1. Elasticity, Theory, Applications, and Numerics Martin H. Sadd
2. Theory of Elasticity Stephen Timoshenko and ,‎ J. N. Goodier

### Prof. Amit Shaw

IIT Kharagpur
Prof. Amit Shaw is presently an Associate Professor in the Department of Civil Engineering, IIT Kharagpur. He obtained his Bachelors degree in Civil Engineering from IIEST Shibur (formerly Bengal Engineering College Shibpur) in 2000, MTech in Structures from IIT Roorkee in 2003 and PhD in Computational Mechanics from IISc Bangalore in 2007. Prior to joining IIT Kharagpur, Professor Shaw spent two years as Research Fellow in University of Aberdeen, UK. He also worked for some time in industries like Gammon India Limited and L&T ECC.

### Prof. Biswanath Banerjee

Prof. Biswanath Banerjee is presently an Assistant Professor in the Department of Civil Engineering, IIT Kharagpur. He obtained his Bachelors degree in Construction Engineering from Jadavpur University in 2000, MTech in Structures from IIT Kharagpur in 2004 and PhD in Computational Mechanics from IISc Bangalore in 2009. Prior to joining IIT Kharagpur, Professor Banerjee spent two years as Post-doctoral Research Fellow in Cornell University, USA. He has also spent for some time in industries like Gammon India Limited, TRF Limited (A Tata enterprise) and Research labs in SERC Chennai (A CSIR Unit) as a Scientist.Professor Banerjees research area is in the field of Computational Mechanics and Reverse Engineering Problems.

### Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 29 October 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kharagpur. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team