Strength of Materials Ⅲ

Course Information

College	Toyama College	Year	2022
Course Title	Strength of Materials Ⅲ
Course Code	0108	Course Category	Specialized / Elective
Class Format	Lecture	Credits	Academic Credit: 1
Department	Department of Mechanical Engineering	Student Grade	4th
Term	First Semester	Classes per Week	前期:2
Textbook and/or Teaching Materials	Professional Engineer Library 材料力学，実教出版
Instructor	Okane Masaki

Course Objectives

In this course, students learn about combined stresses that are important in designing of mechanical stractures, and deepen their understanding of principal stress, principal shearing stress, stress transformation. In addition, students learn the concept of elastic strain energy and deepen their understanding of Maxwell reciprocal theory, Castigliano's theorem. Specifically, the contents stated in "Standard Level of Achievement" in the Rubric is the basic goal of this course.

Rubric

	Ideal Level of Achievement	Standard Level of Achievement	Unacceptable Level of Achievement)
Multiaxial stress	Students can accurately account for multiaxial stress conditions.	Students can account for multiaxial stress conditions to some extent.	Students can not account for multiaxial stress conditions.
Independent stress component, Constitutive equation	Students can accurately account for the six independent stress components. Also, students can explain the relationship between generalized stress and strain (Constitutive equation).	Students can explain stress components to some extent. Also, students understand the relationship between stress and strain (constitutive equation).	Students can not explain the stress component and Constitutive equation.
Plane stress, Plane strain	Students can accurately account for plane stress and plane strain.	Students can explain planar stress and plane strain to some extent.	Students can not account for plane stress and plane strain.
Principal stress, Principal shearing stress	Students understand the meaning of principal stress and principal shearing stress and can accurately determine them in plane stress condition.	Students understand the meaning of principal stress and principal shearing stress and can accurately determine them to some extent in a plane stress condition.	Students do not understand the meaning of principal stress and principal shearing stress and can not find them in plane stress condition.
Mohr's stress circle	Students can accurately draw the Mohr's stress circle under the plane stress condition.	Students can draw a certain degree of the Mohr's stress circle under the plane stress condition.	Students can not draw the Mohr's stress circle under the plane stress condition.
Thin-walled cylinder, Thin-walled shell	Students can accurately determine the stress in thin-walled cylinders or thin-walled shells.	Students can determine the stress in thin-walled cylinders or thin-walled shells to some extent.	Students can not determine the stress in thin-walled cylinders or thin-walled shells.
Thermal stress	Students can accurately calculate thermal stress.	Students can calculate thermal stress to some extent.	Students can not calculate thermal stress.
Elastic strain energy	Students can correctly determine the elastic strain energy even in complicated cases where tension compression, shearing, and bending combination.	Students can determine the elastic strain energy correctly in the basic case where tension compression, shearing, and bending act independently.	Students can not determine the elastic strain energy even under a simple load condition.
Castigliano's theorem	Students understand Castigliano's theorem and can accurately calculate the amount of deformation of the structure.	Students understand Castigliano's theorem and can calculate the deformation amount of the structure to some extent.	Students do not understand Castigliano's theorem and can not determine the amount of deformation of the structure.
Maxwell reciprocal theory	Students can understand and correctly explain Maxwell's reciprocity theory.	Students understand Maxwell's reciprocity theory and can explain to some extent.	Students do not understand Maxwell's reciprocity theory and can not explain.

Assigned Department Objectives

Learning and Educational Objectives of the “General Engineering” A-2 （設計・システム，情報・論理，材料・バイオ，力学，社会技術に関する基礎知識を理解し，簡単に説明することができる。）

JABEE 1(2)(d)(1) （専門工学（工学（融合複合・新領域）における専門工学の内容は申請高等教育機関が規定するものとする）の知識と能力）

JABEE 1(2)(d)(2) （いくつかの工学の基礎的な知識・技術を駆使して実験を計画・遂行し、データを正確に解析し、工学的に考察し、かつ説明・説得する能力）

JABEE 2.1(1) （基礎工学として、①設計・システム系科目群、②情報・論理系科目群、③材料・バイオ系科目群、④力学系科目群、⑤社会技術系科目群の５群からなり、各群から少なくとも１科目、合計最低６科目を含むこと。）

Diploma policy 1 （To develop engineers who comprehensively acquire knowledge, focusing on mechanical engineering as the basis of manufacturing and production technology, and play a role in equipment design, technology development and other engineering-related fields.）

Teaching Method

Outline:

Strength of materials is one of the fundamental subjects of mechanical engineering, and is a necessary academic field in equipment design, etc. Students are not only required to understand material dynamics, but also, after graduation, they will be involved in equipment design, etc., using material mechanics as a tool. Students are not required to memorize for tests, but must understand the course materials properly so that they will acquire knowledge even after graduation.

Style:

Lecture

Notice:

Students should earn a credit in the Strength of Materials I and II. Students are required to submit all reports. Except in cases of unavoidable circumstances, even if there is one report that has not been submitted, the unit will not be certified if you fail to comply with the submission deadlines.

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	Guidance
		2nd	Combined stress ①	Students understand 3dimensional stress state.
		3rd	Combined stress ②	Students understand six independent stress components and constitutive equation.
		4th	Combined stress ③	Students understand plane stress condition and plane strain condition.
		5th	Combined stress ④	Students understand the meaning of principal stress and principal shearing stress under the plane stress condition.
		6th	Combined stress ⑤	Students understand the Mohr's stress circle under the plane stress condition.
		7th	Thermal stress	Students understand deformation and stress caused by temperature transformatiuon.
		8th	Exam
	2nd Quarter
		9th	Elastic strain energy ①	Students understand the definition of elastic strain energy.
		10th	Elastic strain energy ②	Students understand the strain energy under tension / compression condition and shearing condition.
		11th	Elastic strain energy ③	Students understand the strain energy under bending condition and torsional condition.
		12th	Elastic strain energy ④	Students understand the strain energy under the condition of bending and twist act in combination.
		13th	Elastic strain energy ⑤	Students understand the Castigliano's theorem.
		14th	Elastic strain energy ⑥	Students understand the Maxwell reciprocal theory.
		15th	Final exam
		16th	Answer and explanation of the final exam

Evaluation Method and Weight (%)

	Examination	Report	Total
Subtotal	80	20	100
Basic Ability	30	7	37
Technical Ability	50	13	63