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2019　Structural Mechanics III

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Academic unit or major
Undergraduate major in Architecture and Building Engineering
Instructor(s)
Takeuchi Toru  Ikarashi Kikuo   
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon5-6(M111)  Thr5-6(M111)  
Group
-
Course number
ARC.S306
Credits
2
Academic year
2019
Offered quarter
3Q
Syllabus updated
2019/3/18
Lecture notes updated
-
Language used
Japanese
Access Index

Course description and aims

　This class treats the theories of elasticity, plate and shells, elastic stability, and dynamics of building structures as the basic theories for building structural engineering, composed of lectures and exercises.
　Finite element methods (FEM) or dynamic response analyses against seismic or wind forces, which are essential for structural design, are all based on these theories, and recommended to master for not only structural engineering students, but environmental engineering and architectural planning students.

Student learning outcomes

I. Master the structural theories based on the theory of elasticity and structural dynamics.
II. Fundamental formulas on elasticity, Bending and torsion of plate sections, Stress analysis and buckling of plates, Stress analysis of shells, FEM, Dynamic response theories.

Keywords

Theory of elasticity, Theory of plate and shells, Theory of elastic stability, Dynamics of building structures

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, followed by exercises and comments on related theories. Exercises are provided based on three-or four sets of lectures, and the answers are required to be submitted. The lectures are based on blackboard and PowerPoint, reinforced by distributed printed materials.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Theory of Elasticity: Three-dimentional balance of stress Understand three-dimentional balance of stress and idea of principal stress.
Class 2 Theory of Elasticity: Three-dimentional balance of stress Understand stress-strain-deformation relationship, their compatibility condition, and the concept of stress function.
Class 3 Theory of Elasticity: Analysis of two-dimentional problem Analysis of single-supported beam /Challenge: Stress and deformation analysis　oｎ simple beam
Class 4 Theory of Plate and Shells: Stress-strain relationship in flat plate elements Understand stress-strain-deformation relationship and their compatibility conditions in the plate element
Class 5 Theory of Plate and Shells: Stress-strain relationship in flat plate elements Understand stress-strain-deformation relationship and their compatibility conditions in the plate element
Class 6 Theory of Plate and Shells: Geometry and mechanics of shells Understand the geometries of shells and their mechanics
Class 7 Theory of Plate and Shells: Theory of thin shell of revolution Understand the theory of thin shell of revolution /Challenge: Shape analysis of thin shell of revolution
Class 8 Theory of Plate and Shells: Theory of thin shallow shells Understand the theory of thin shallow shells
Class 9 FEM: Variational principle Understand the concept of finite elements and variational principle.
Class 10 FEM: Matrix method Understand FEM analysis using Matrix method. /Challenge: FEM analysis using triangular elements
Class 11 Dynamics of Structures: Complex expression of single vibration Understand the complex expression of single vibration
Class 12 Dynamics of Structures: Fourier series and Fourier transform Understand the Fourier series and Fourier transform in structural dynamics
Class 13 Dynamics of Structures: Response of Single-degree-of-freedom system Understand the response evaluation methods of Single-degree-of-freedom system using a transfer function /Challenge: Response analysis with Fourier transform
Class 14 Dynamics of Structures: Response of Multi-degree-of-freedom system Understand modal analysis and response of Multi-degree-of-freedom system.
Class 15 Dynamics of Structures: Response evaluation with direct integration methods Understand response evaluation with direct integration methods

Textbook(s)

S.P.Timoshenko: Theory of Elastisity, McGraw-Hill
S.P.Timoshenko: Theory of Plate and Shells, McGraw-Hill
R.W.Clough, J.Penzien: Dynamics of Structures, McGraw-Hill

Reference books, course materials, etc.

S.P.Timoshenko: Theory of Elastic Stabilityy, McGraw-Hill
Akenori Shibata: Dynamic Analysis of Earthquake Resistant Structures, Tohoku-Univ. Press
M.Ohaski, T.Takeuchi, T.Yamashita: Basic Theory and Design of Shell and Spatial Structures, Kyoto Univ. Press.

Assessment criteria and methods

Score is give by the examination and exercises

Related courses

  • ARC.S203 ： Structural Mechanics I
  • ARC.S305 ： Structural Mechanics II
  • ARC.S301 ： Structural Design I
  • ARC.S302 ： Structural Design II

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

Comprehension of Japanese.
Completing Structural Mechanics I and Structural Design I is desirable.

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