Advanced Mechanics of Solids (ME60402), Spring 2020

Mechanical Engineering Department, Indian Institute of Technology Kharagpur


Instructor:

Dr Jeevanjyoti Chakraborty (JC)

Email: jeevan@mech.iitkgp.ac.in, jeevanjyoti4@gmail.com

Phone: +91-(0)3222-282972 (Office)

Teaching Assistants:

Amrita Sengupta

Prasanna Venkatesh


Policies and Guidelines:

All policies and guidelines regarding attendance, grades, assignment submission, absence from exams are laid out in detail in the Policies and Guidelines tab. (Please note that these were written in the pre-COVID-19 situation. Appropriate changes may have to be made as per the evolving situation and following Institute directives.)


Tentative Schedule:

The following is the tentative schedule of lectures:

Week Topic Reading Problem Sheet
1
(Jan 3)
Introduction; Discussion of Syllabus and Policies
2
(Jan 6–10)
Calculus of Variations
3
(Jan 13–17)
Energy Methods I Notes on Energy Methods
4
(Jan. 20–24)
No classes could be taken.
5
(Jan 27–31)
Energy Methods II
(Extra hour of class on Jan. 31)

6
(Feb 3–7)
Energy Methods III

Bending and Buckling of Beams I
(Extra hour of class on Feb. 7)

Assgn. 1
7
(Feb 8)
Bending and Buckling of Beams II
(Compensation class: 5 PM - 7 PM)
Notes on Beam Theory
8
(Feb 10–14)
Bending and Buckling of Beams III
(Extra hour of class on Feb. 14)

Assgn. 2
Feb 17–25 Mid-Semester Examinations
9
(Feb 28)
Bending and Buckling of Beams IV - Elasticia

Classical Plate Theory I
Jupyter Notebook on Elastica
10
(Mar 2–6)
Classical Plate Theory II Notes on Classical Plate Theory

Example through Jupyter Notebook: Circular Plate
11
(Mar 9–13)
Classical Plate Theory III Example through Jupyter Notebook: Rectangular Plate
Problem Sheet: CPT
Following suspension of classes due to COVID-19 precautionary measures, lecture notes are being sent for self-study. Additional study material is provided in the form of Jupyter Notebooks available at the GitHub Repository for this course.
12
(Mar 16–20)
Föppl-von Karman Plate Theory I Notes on Föppl-von Karman Plate Theory
13
(Mar 23–27)
Föppl-von Karman Plate Theory II Jupyter Notebooks on:
13 Torsion I Notes on Torsion
As per new Academic Calendar, the Summer Vacations have been declared from April 1 to May 31, 2020. There is a plan to resume classes on June 1, 2020 depending on the COVID-19 situation.

As per the Academic Calendar released on April 16, the Summer Vacations are scheduled as: April 1–15 and May 11–June 30. Theory classes will be completed online by May 4.
14
(Apr 16–17)
Torsion II Jupyter Notebook on Torsion
15
(Apr 20–24)
Unsymmetric Bending Lecture: Part 1
Lecture: Part 2

Jupyter Notebook file: L-shaped cross-section
16
(Apr 27–May 1)
Shear Centre Lecture: Part 1
Lecture: Part 2
Lecture: Part 3
(Jul 6–14) End-Semester Examinations are cancelled throughout IIT Kharagpur for Spring Semester, 2020


Textbook and References

The primary textbook for this course is:

The ebook is available through IIT Kharagpur’s subscription to Springer at this link (You will need to access it through the Institute proxy.)

Additionally, I use bits and pieces from the following references:

Multiple copies of each of these references are available in the Central Library.