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(IMAC-U) 材料力学Ⅰ / (IMAC-U)Mechanics of Materials I

単位数: 2. 担当教員: 竹田 陽一, 市川 裕士. 開講年度: 2024. 科目ナンバリング: TMA-MEE208E.

主要授業科目/Essential Subjects

授業の目的・概要及び達成方法等

Google Classroom class code: vemxeyz
(https://www.eng.tohoku.ac.jp/edu/syllabus-ug.html)

授業の目的・概要及び達成方法等(E)

The class code of this course in Google Classroom system is "vemxeyz" in the academic year of 2024 .

1. Class subject
Mechanics of materials is a branch of applied mechanics that deals with the basic behavior of solid bodies subjected to various types of loading. The knowledge of the stress and strain set up within the bodies and resulting deflection is a prerequisite for the structural design of industrial products and infrastructures such as buildings, roads, bridges, and various equipments. In this course, the basic idea of the structural design is provide based on the quantitative evaluation of mechanical stress and strain fields in various structures.

2. Object and summary of class
This course is intended as an introductory course in the mechanics of solids offered to engineering students. It concentrates on developing analysis techniques from principle for a range of practical problems that include simple structures, pressure vessels, beams and shafts.

3. Goal of study
The goal of this course is the acquisition of the basic concept of stress and strain in material s and structures and the quantitative analytical method of stress and strain fields in various structures.

他の授業科目との関連及び履修上の注意(E)

It is assumed that the students have had some experience in elementary statics (mechanics of rigid bodies) and mathematics (such as differentiation and integration).

授業計画(E)

1. Introduction: Highly functional and reliable design of structures
2. Basic concept of stress and strain
3. Mechanical properties of materials
4. Hook’s law and strength of materials
5. Two-dimensional stress and strain fields (Pin-jointed structure)
6. Thermal stress and residual stress
7. Thin rings and stress concentration
8. Mid-term exam. 1
9. Biaxial stress and strain fields: Normal stress, shear stress
10. Combined tress field: Principal stress and Mohr's circle
11. Combined tress field: Two-dimensional Hooke's law
12. Torsion: Circular shafts
13. Torsion: Stepped bar, Power transmission
14. Torsion: Thin-walled tube, Rectangular shaft
15. Mid-term exam. 2
16. Final exam

授業時間外学習

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授業時間外学習(E)

Homework is assigned at every lecture.

成績評価方法及び基準(E)

1. Homework (every lecture): 10%
2. Mid-term exams. 1 and 2 (Two-pages of notes are permitted.): 40% (20% each)
3. Final exam.(Closed book and no notes): 50%

教科書および参考書

    備考

    1) M. C. Potter, “Strength of Materials, Seventh Ed.”, Schaum’s Outline Series, McGraw-Hill, (2020).
    2) S. Timoshenko and D. H. Young, “Elements of Strength of Materials,” Van Nostrand Reinhold Company, (1968).
    3) Crandall, S. H., T. J. Lardner, and N. C. Dahl, “An Introduction to the Mechanics
    of Solids. 2nd ed.”, McGraw-Hill, (1999).

    実務・実践的授業/Practicalbusiness※○は、実務・実践的授業であることを示す。/Note:"○"Indicatesthe practicalbusiness

    主として実践的教育から構成される実務・実践的授業/Practical business

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