2021 Faculty Courses School of Environment and Society Department of Architecture and Building Engineering Graduate major in Architecture and Building Engineering
Shell Structures
- Academic unit or major
- Graduate major in Architecture and Building Engineering
- Instructor(s)
- Toru Takeuchi / Shojiro Motoyui / Tomohiko Kumagai
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 7-8 Tue
- Class
- -
- Course Code
- ARC.S501
- Number of credits
- 200
- Course offered
- 2021
- Offered quarter
- 1Q
- Syllabus updated
- Jul 10, 2025
- Language
- Japanese
Syllabus
Course overview and goals
Learning the structural system, design of continuous shell, latticed shell, tension structures and theories which express the structural caharacteristics
Course description and aims
Learning the basic shell theories, tension theories and their tensor expressions, and master application methods for the design and analyses of continuous shell, latticed shell, tension structures
Keywords
Continuous shell, Latticed shell, Tension structure, Tensor, buckling, seismic response
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Based on lectures, and challenges are given in each topic.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | History and applications of shell structures |
Understand history and applications of shell structures |
| Class 2 | Theory of thin shell of revolution |
Understand the theory of thin shell of revolution |
| Class 3 | Bearing mechanism of shell and suspension structures |
Understand bearing mechanism of shell and suspension structures |
| Class 4 | Membrane theory of thin shell |
Understand Membrane theory of thin shell |
| Class 5 | Buckling of cylindrical shell roofs |
Learning buckling theory and evaluation methods of cylindrical shell roofs |
| Class 6 | Seismic response of shell structures |
Learning seismic response characteristics and response evaluation methods of shell stcructures |
| Class 7 | Basic Theories of cable structures |
Learning basic Theories of cable structures |
| Class 8 | Applications of cable structures |
Learning applications of cable structures for architectures |
| Class 9 | Response control of spatial structures |
Learning response control systems for spatial structures and their design methods |
| Class 10 | Tensor analysis for Shell structure |
Understanding the reason why tensor analysis is applied to the formulation of shells |
| Class 11 | Various assumptions for theory of thin shells |
Understanding Kirchhoff's and Kirchhoff-Love's assumptions adopted in the formulation of thin shells |
| Class 12 | Finite element formulation based on theory of shell part 1 |
Learning the description of configuration at initial and deformed state, Green's strain and linearized relationship between the strain and displacement |
| Class 13 | Finite element formulation based on theory of shell part 2 |
Learning the definition of stress, elastic constitutive equation and elastic stored energy |
| Class 14 | Finite element formulation based on theory of shell part 3 |
Deriving equilibrium equations and learning numerical calculation procedure |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
M.Ohsaki, T.Takeyuchi, T.Yamashita: Basic theory and design of shell and spatial structures, Kyoto Univ. Press
Reference books, course materials, etc.
Theory of Plate and Shells, McGraw-Hill
Architectural Institute of Japan:Recommendation of Design for Latticed Shell Roof Structures
Evaluation methods and criteria
Based on reports given in each lectures
Related courses
- ARC.S421 ： Applied Building Structural Design
- UDE.S406 ： Tensor Analysis for Building Structure
Prerequisites
Recommended to attend ARC.S421:Applied Building Structural Design, and UDE.S406:Tensor Analysis for Building Structure, before or same time with this class.
Contact information (e-mail and phone) Notice : Please replace from ”[at]” to ”@”(half-width character).
takeuchi.t.ab[at]m.titech.ac.jp, motoyui.s.aa[at]m.titech.ac.jp