2025 (Current Year) Faculty Courses School of Environment and Society Undergraduate major in Architecture and Building Engineering

Structural Mechanics III

Academic unit or major: Undergraduate major in Architecture and Building Engineering
Instructor(s): Kikuo Ikarashi / Yuki Terazawa
Class Format: Lecture (Face-to-face)
Media-enhanced courses: -
Day of week/Period (Classrooms): 5-6 Mon (W5-107) / 5-6 Thu (W5-107)
Class: -
Course Code: ARC.S306
Number of credits: 200
Course offered: 2025
Offered quarter: 3Q
Syllabus updated: Mar 19, 2025
Language: Japanese

Syllabus

Course overview and goals

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.

Course description and aims

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

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/Objectives

	Course schedule	Objectives
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, Dynamics of Structures: Response evaluation with direct integration methods	Understand modal analysis, response of Multi-degree-of-freedom system and response evaluation with direct integration methods

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)

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.

Evaluation methods and criteria

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

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