### 2016　Structural Mechanics III

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Undergraduate major in Architecture and Building Engineering
Instructor(s)
Takeuchi Toru  Ikarashi Kikuo  Matsui Ryota
Class Format
Lecture
Media-enhanced courses
Day/Period(Room No.)
Mon5-6(M111)  Thr5-6(M111)
Group
-
Course number
ARC.S306
Credits
2
2016
Offered quarter
3Q
Syllabus updated
2016/4/27
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 Dynamics of Structures: Complex expression of single vibration Understand complex expressions of single vibration.
Class 2 Dynamics of Structures: Fourier Series and Fourier Transform Understand the concept of Fourier series and Fourier transform
Class 3 Dynamics of Structures: Fast Fourier Transform Understand the frequency analysis method using /Challenge: Fast Fourier Transform. Challenge: Frequency analysis by FFT
Class 4 Dynamics of Structures: Response of single-degree-of-freedom system Understand the response evaluation method of single-degree-of-freedom system using a transfer function.
Class 5 Dynamics of Structures: Direct integration and modal analyses Understand response analysis using direct integration method and the concept of modal analysis.
Class 6 Theory of Elasticity: Three-dimentional balance of stress Understand three-dimentional balance of stress and idea of principal stress.
Class 7 Theory of Elasticity: Three-dimantional stress-strain relationship Understand stress-strain-deformation relationship, their compatibility condition, and the concept of stress function.
Class 8 Theory of Elasticity: Analysis of two-dimentional problem Analysis of single-supported beam /Challenge: Stress and deformation analysis　oｎ simple beam
Class 9 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 10 Theory of Plate and Shells:Buckling of flat plates Understanding the theories of stability for plate element under in-plane compression.
Class 11 Theory of Plate and Shells: Geometry and mechanics of shells Understand the geometries of shells and their mechanics
Class 12 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 13 Theory of Plate and Shells: Theory of thin shallow shells Understand the theory of thin shallow shells
Class 14 FEM: Variational principle Understand the concept of finite elements and variational principle.
Class 15 FEM: Matrix method Understand FEM analysis using Matrix method. /Challenge: FEM analysis using triangular elements

### 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

### 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.