Theory of Rectangular Plates-Part1

By Prof. Poonam Kumari   |   IIT Guwahati
Learners enrolled: 38
Beams, plates and shells are fundamental structural elements in the field of mechanical engineering, civil structures, automobile and aerospace engineering. Therefore analysis of these basic structural elements are required for design and development. This course presents systematic development of plate governing equations using the variational calculus. Basic analytical solutions techniques are discussed for bending, free vibration and buckling cases. Further this approach can be applied to develop governing equation and solutions for functionally graded plate, piezoelectric plates (current research topics).

INTENDED AUDIENCE: Final year B.Tech, M.Tech and Pre-Ph.D students in Mechanical Engineering, Civil Engineering, Aerospace Engineering and Applied Mechanics departments, Faculties who work in solid Mechanics/Continuum Mechanics

PREREQUISITES: Advanced Solid Mechanics or Theory of Elasticity.

Course Status : Upcoming
Course Type : Elective
Duration : 4 weeks
Start Date : 20 Feb 2023
End Date : 17 Mar 2023
Exam Date : 30 Apr 2023 IST
Enrollment Ends : 20 Feb 2023
Category :
  • Mechanical Engineering
Credit Points : 1
Level : Postgraduate

Page Visits

Course layout

Week 1: Basics of Elasticity,Energy Principals,Classification of various plate theories
Week 2: Kinematic assumptions for various theories,Development of governing equations,Boundary conditions and plate constitutive relations
Week 3: Navier Solution for bending,Levy solution,Approximate solutions
Week 4: Navier solution for free vibration and bucking cases,Levy solution for free vibrations case,Development of 3D solution in mixed form

Books and references

[1] J. N. Reddy, “Theory and Analysis of Elastic Plates and Shells”, CRC Press, 2006.
[2] K. Bhaskar and T.K. Varadan, “Plates: Theories and Applications”, Wiley, 2014.
[3] K. Chandrashekhara, “Theory of Plates”, University Press (India) Limited, 2001

Instructor bio

Prof. Poonam Kumari

IIT Guwahati
Prof.Poonam Kumari is currently an Associate Professor in the Department of Mechanical Engineering of the Indian Institute of Technology Guwahati.She received her Ph.D. degree from Indian Institute of Technology Delhi in 2012.She did her Post-Doctoral Fellowship at Simon Fraser University.She works in the area of Continuum Mechanics and Smart Material and structures.She has developed three-dimensional as well as two-dimensional solution for composite and piezolaminated plates.She has 29 International Journal publications and 29 International Conference publications.She is teaching course of Theory of plates and Shells since 2014 at IIT Guwahati.She has also conducted an online course on theory of rectangular plate under MOOCs.Her course was selected for faculty development programme course by AICTE.She received Young Engineer Award in 2017 from Indian National Academy of Engineers very recently, she also received approval for SERB women excellence award,2019.

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: April 30, 2023 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.


Average assignment score = 25% of average of best 3 assignments out of the total 4 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 Guwahati .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

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