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.
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.
Theory of elasticity, Theory of plate and shells, Theory of elastic stability, Dynamics of building structures
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
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|
|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|
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
S.P.Timoshenko: Theory of Elastic Stabilityy, McGraw-Hill
Akenori Shibata: Dynamic Analysis of Earthquake Resistant Structures, Tohoku-Univ. Press
Score is give by the examination and exercises
Comprehension of Japanese.
Completing Structural Mechanics I and Structural Design I is desirable.