2024 Faculty Courses School of Environment and Society Undergraduate major in Architecture and Building Engineering
Fundamentals of Mechanics of Materials B
- Academic unit or major
- Undergraduate major in Architecture and Building Engineering
- Instructor(s)
- Shoichi Kishiki / Daiki Sato / Miku Kurosawa
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 7-8 Tue
- Class
- -
- Course Code
- ARC.S202
- Number of credits
- 100
- Course offered
- 2024
- Offered quarter
- 2Q
- Syllabus updated
- Mar 17, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course focuses on the fundamental knowledge of mechanics for building structures. Topics include the calculation method for the deflection of beams, the principal stresses in multi-axial stress field, the concept of the strain energy, and some nonlinear behaviors in building structures.
To design building structures, not only stresses but also deflection and various unstable behaviors should be taken account. The true aim of this course is the acquitting the sense of mechanics while concrete calculation methods for stresses and deflection. Because everyone working in the field of architecture need to understand various mechanical phenomena and explain them by intuition. Students will realize both the usefulness and complication of mechanics.
In This course Curved continua like arches and domes are often applied to actual building structures for indoor sport stadiums. The specific coordinate system which was the most suitable one to the configuration of the target structure was referred to when deriving basic equations for the structure. Consequently, varied expressions of the basic equations were used corresponding to the problem. According to the concept of tensor analysis, the basic equations can be derived in the common form which is independent of the reference coordinate system. Students will realize both the usefulness and complication of tensor analysis. Conversely, students will know we have received the benefit from the Cartesian coordinate system in deriving various equations.
Course description and aims
By the end of this course, students will be able to:
1) Calculate the deflection of beams.
2) Find the principal stresses in the multi-axial stress filed.
3) Explain the concept of the strain energy.
4) Explain concept of buckling behavior.
Keywords
Deflection of beams, Principal stresses, Strain energy, Castigliano's theorem, Principle of virtual work, Buckling
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
At the beginning of each class, solutions to exercise problems that were assigned during the previous class are reviewed. Towards the end of class, students are given exercise problems related to the lecture given that day to solve. Required learning should be completed outside of the classroom for review purposes.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Bernoulli's beam theory | History of beam theory and concept of Bernoulli's beam theory |
| Class 2 | Deflection of beams | Calculation method for Deflection of beams subjected to external forces |
| Class 3 | Deflection of beams with shear deformation | Calculation method for Deflection of beams considering effect of shear deformation |
| Class 4 | strain energy | Concept of strain energy |
| Class 5 | Castigliano's theorem | Calculation of deflection based on Castigliano's theorem |
| Class 6 | What is "Stress"? | Definition of "Stress" |
| Class 7 | Principal stresses in multi-axial stress field | Concept of principal stresses and calculation of them |
| Class 8 | Buckling of bars | Concept of buckling and calculation of buckling load for bar in compression |
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)
Kiso-zairyourikigaku [Revised version] by Yoshihisa Minaguchi et.al., published by Yokendo
Reference books, course materials, etc.
Distribute document if it is neccesary
Evaluation methods and criteria
Exercises and exam.
Related courses
- ARC.S201 ： Fundamentals of Mechanics of Materials A
- ARC.S203 ： Structural Mechanics I
- ARC.S305 ： Structural Mechanics II
- ARC.S306 ： Structural Mechanics III
Prerequisites
Students must have successfully completed Fundamentals of Mechanics of Materials A