AS2070: Aerospace Structural Mechanics
Jan-May, 2026
Table of Contents
Introduction
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Instructor, TA, and the basics
- Dr. Nidish Narayanaa Balaji
- nidish@iitm.ac.in, Room 139 AE building
- TA: Niranjan Gulla, Poorvika U.
- Textbook References
- Module 1
- Module 2
- Module 3
- This website does have some notes that I have prepared, but note that these are more for my reference than yours.
- You should assume that they come with mistakes that I will rectify as the semester progresses.
- Your primary references must only be your textbooks.
Some Planning
The lectures will be split into three modules:
Sno. Topic Lectures Assignments 1 Elastic Stability 11 1-2 2 Laminated Composites 11 1-2 3 Introduction to Failure 11 1-2 Total 33 3-6 - The weekly split-up (nominally) is
- 3 Lectures
- 1 Tutorial
- The weekly split-up (nominally) is
Grading Policy
- The End Semester Examination will carry 40% weightage for the overall.
- The quizzes (together) will carry 30% weightage.
- The assignments (together) will carry 15% weightage.
- A Course Project will carry 15% weightage.
The weighted overall grades will be scaled by the maximum score. A letter grade will be assigned based on the following rubric.
[95, 100] [85, 95) [75, 85) [65, 75) [55, 65) [45, 55) Grade S A B C D E
Honor Code Policy
Honor Code Policy
You are required to sign an honor code for each submission, failing
which evaluation will not be done.
Upon my honor I state that I have received no unauthorized support and can attest that the submission reflects my understanding of the subject matter.
- The honor code may be signed either by hand or just initials (in case of typed submission), but the key is that you should mean it.
- Honor code violations will not be taken lightly.
Assignment Policy
- Each module will have at least one assignment and at most 2.
- Late Submission Policy
- No late submissions will be encouraged. If you miss the deadline, you miss the submission.
- Exceptions will be considered only if I receive written communication through Moodle before the submission date.
Course Project
- The first week of classes will provide an executive overview of the three modules to be taught in the class.
- You will be given one week's time to decide which module you want to work on for your project.
The problem statement for the project is:
Develop an experimental demonstration of pedagogical value that highlights some of the concepts covered in class.
- I will group you in teams of 5-6 based on your preferences.
- The deliverables are:
- a demonstration of the experiment.
- a 15 minute presentation to class.
- a 1-2 page summary (keep this very brief).
Attendance Policy
- We shall try to use the DiGii app for attendance. If this does not work, I will be using an Attendance App on a tablet to record attendance.
- My app logs the time of press also, so attendance will be computed as the ratio of the number of seconds spent in class and the total number of class hours.
- Please be aware of institute policy regarding attendance matters, I can not provide any flexibility here.
Module 1: Elastic Stability
Figure 1: Table from [1]
Figure 2: (Elastic) Post buckling of simply supported column
Figure 3: Snap-through example from [8]
Figure 4: Load-deflection diagram for the SDoF snap-through example
Overview
- What is stability?
- Buckling of columns
- Energy Perspectives to Stability
- Snap-Through Buckling
- Flat Plates
Module 2: Laminated Composite Mechanics
Overview
- Classification of composite materials
- Continuous fiber composite laminate
- Interlaminar strength is matrix dominated.
- Woven fiber composites
- Strength compromized but no risk of delamination.
- Chopped fiber composites
- Poorer strength but cheaper.
- Hybrid composites
- Sandwich structure
- High strength faces bonded through a lightweight foam/honeycomb core.
- High flexural stiffness-to-weight ratios.
- Continuous fiber composite laminate
- Materials in Composites
- Fibers
- Fiberglass-Reinforced Plastics (FRPs)
- Low cost, "basic" composites
- "Advanced" composites: Carbon, SiC, aramid polymer, etc.
- Higher modulus, strength; lower density.
- Carbon Nanotubes, Nanofibres.
- Fiberglass-Reinforced Plastics (FRPs)
- Matrix, Filler
- Polymers
- Thermosets: Epoxy, Polyester, etc.
- Highly cross-linked 3D molecular network which doesn't melt again.
- Thermoplastics: Polyetherketone (PPEK), PolyPhenyl Sulphide (PPS), etc.
- Polymer chains that do not cross-link. Will melt, can be reshaped.
- Thermosets: Epoxy, Polyester, etc.
- Metal, ceramic, or carbon matrix for higher temperature applications.
- Polymers
- Fibers
- Effective Moduli, Effective Strength.
- Constitutive relationships.
- Classical Laminate Theory (Subject to Time)
Module 3: Introduction to Failure
Overview
- Structure of Materials
- Lattice, Defects
- Introduction to Fatigue
- S-N Curve
- Miner's Rule
- Stress Concentration
- Introduction to Fracture Mechanics
- Modes of Fracture
- Crack Growth
Michell Solution
Course Project
2026 Project Groups and Modules
| ID | Group | Module |
|---|---|---|
| ae24b008 | 1 | 1 |
| ae24b001 | 1 | 1 |
| ae24b021 | 1 | 1 |
| ae24b017 | 1 | 1 |
| ae24b003 | 1 | 1 |
Group 1
- Project Module: Module 1
- Project Title: TBD
| ID | Group | Module |
|---|---|---|
| ae24b022 | 2 | 3 |
| ae24b027 | 2 | 3 |
| ae24b023 | 2 | 3 |
| ae24b016 | 2 | 3 |
| ae24b024 | 2 | 3 |
Group 2
- Project Module: Module 3
- Project Title: TBD
| ID | Group | Module |
|---|---|---|
| ae24b002 | 3 | 2 |
| ae24b012 | 3 | 2 |
| ae24b011 | 3 | 2 |
| ae24b020 | 3 | 2 |
| ae24b007 | 3 | 2 |
Group 3
- Project Module: Module 2
- Project Title: TBD
| ID | Group | Module |
|---|---|---|
| ae24b019 | 4 | 1 |
| ae24b005 | 4 | 1 |
| ae24b018 | 4 | 1 |
| ae24b009 | 4 | 1 |
| ae24b013 | 4 | 1 |
Group 4
- Project Module: Module 1
- Project Title: TBD
| ID | Group | Module |
|---|---|---|
| ae24b026 | 5 | 2 |
| ae24b010 | 5 | 2 |
| ae24b028 | 6 | 2 |
| ae24b030 | 5 | 2 |
| ae24b004 | 5 | 2 |
Group 5
- Project Module: Module 2
- Project Title: TBD
| ID | Group | Module |
|---|---|---|
| ae24b006 | 6 | 3 |
| ae24b015 | 6 | 3 |
| ae24b029 | 6 | 3 |
| ae22b105 | 6 | 3 |
Group 6
- Project Module: Module 3
- Project Title: TBD
The process of group sorting
- I created an undirected graph by symmetrizing the adjacency preferences. 0.5 weight for a given student student wanting to work with another, and 0.5 weight for any student to want to work with the given student.
- I computed the eigenvectors of the associated graph Laplacian and conducted hierarchical clustering in the spectral space (I used 3 eigenvectors for this, second to fourth).
- I cut the resulting dendrogram tree to get 6 clusters in total.
- This already yielded 3 groups of 5 members each, so I froze these.
- Next I used the remaining nodes and computed the graph Laplacian again (within each other). Using the signs of the components of the Fiedler vector (leading eigenvector), I was able to obtain one group of 5 members.
With the remaining (9), I once again constructed a Fiedler vector and used its value to sort the nodes. The nodes with the smallest 4 values are assigned to be one group, and the remaining 5 nodes are assigned another.
Figure 5: Adjacency graph plotted using the the spring/repulsion model of Fruchterman and Reingold (1991, doi 10.1002/spe.4380211102). Plotted below are the module preferences.
Past Project Reports
The reports and presentation (where available) of projects from past semesters are documented here. Do have a look and reach out to your seniors to understand what they would do differently, given their experience.
Jan - May 2025