2021 Shell Structures

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Academic unit or major
Graduate major in Architecture and Building Engineering
Takeuchi Toru  Motoyui Shojiro  Kumagai Tomohiko 
Course component(s)
Lecture    (ZOOM)
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Course description and aims

Learning the structural system, design of continuous shell, latticed shell, tension structures and theories which express the structural caharacteristics

Student learning outcomes

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


Continuous shell, Latticed shell, Tension structure, Tensor, buckling, seismic response

Competencies that will be developed

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/Required learning

  Course schedule Required learning
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

Out-of-Class Study Time (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.


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

Assessment criteria and methods

Based on reports given in each lectures

Related courses

  • ARC.S421 : Applied Building Structural Design
  • UDE.S406 : Tensor Analysis for Building Structure

Prerequisites (i.e., required knowledge, skills, courses, etc.)

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

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