Strength of Materials III

Course Information

College	Akashi College	Year	2020
Course Title	Strength of Materials III
Course Code	0124	Course Category	Specialized / Elective
Class Format	Lecture	Credits	Academic Credit: 2
Department	Mechanical Engineering	Student Grade	5th
Term	First Semester	Classes per Week	2
Textbook and/or Teaching Materials
Instructor	MORISHITA Tomohiro

Course Objectives

1) Can explain the definition and theorem of the various quantities of planar shapes and calculate the various quantities of them.
2) Can explain the relationship between internal forces and stresses for axes, straight beams, and combinatorial beams, and can derive various formulae related to these.
3) Can calculate the stresses and deflections that occur in a curved beam.
4) Can apply the displacement-strain equation and its coordinate transformation equation to a simple problem.
5) Can calculate stress and deformation of spherical and axisymmetric problems.
6) Can explain the basic formula for a multi-axis stress condition.
7) Can discuss material dynamics issues with others based on logical thinking.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
Achievement 1	Can explain the definition and theorem of the various quantities of planar shapes, and can calculate the various quantities of them, and can apply them to intensity design.	Can explain the definition and theorem of the various quantities of planar shapes, and can calculate the various quantities of them.	Cannot explain the definition and theorem of the various quantities of planar shapes, and cannot calculate the various quantities of planar shapes.
Achievement 2	Can explain the relationship between internal forces and stresses for axes, straight beams, and combinatorial beams, and can derive various formulae related to these and can apply to special conditions.	Can explain the relationship between internal forces and stresses for axes, straight beams, and combinatorial beams, and can derive various formulations on them.	Cannot explain the relationship between internal forces and stresses for axes, straight beams, and combinatorial beams, and cannot derive the various formulae related to these.
Achievement 3	Can explain the distribution of stresses in the virtual section of a curved beam, and can calculate stresses and deflections.	Can calculate the stresses and deflections that occur in a curved beam.	Cannot calculate the stresses and deflections that occur in a curved beam.
	Can derive displacement-strain equations and their coordinate transformation equations, and can apply them to simple problems.	Can apply displacement-strain equations and their coordinate transformation equations to simple problems.	Cannot apply displacement-strain equations and their coordinate transformation equations cannot be applied to a simple problem.
	Can explain the basic solution and boundary conditions for spherical and axisymmetric problems, and can calculate stresses and deformations.	Can calculate stresses and deformations in spherical and axisymmetric problems.	Cannot calculate stress and deformation for spherical and axisymmetric problems.
	Can explain the configuration of the problem from the unknown functions in a multi-axis stress state and the equations that relate them, and can convert coordinates between a right-angle coordinate system and polar coordinates.	Can explain the basic formula for a multi-axial stress condition.	Cannot explain the basic formula for a multi-axial stress condition.
	Can discuss material dynamics issues with others based on logical thinking and summarize opinions of the group.	Can discuss material dynamics issues with others based on logical thinking.	Cannot discuss material dynamics issues with others based on logical thinking.

Assigned Department Objectives

学習・教育到達度目標 (D) （基礎学力と自主的・継続的学習能力）

学習・教育到達度目標 (H) （多次元的なシステム思考）

Teaching Method

Outline:

The aim is to be able to calculate the strength of structural and mechanical components and to evaluate the strength of these components, as well as to be able to independently and continuously learn related matters, and to conduct logical thinking and technical discussions. Based on the year 3 class Strength of Materials I and year 4 class Strength of Materials II, students will learn more advanced issues and prepare for Advanced Strength of Materials in the first year of the graduate study, and Fracture Mechanics in the second year of the graduate study.

Style:

Pre-study the textbook and example problems before classes. After the instructor explains the key points of the study material at the beginning of the class, students will have a group discussion. They are also expected to raise questions and unclear points to the instructor for explanation. Work in groups on the exercise assignments prepared by the instructor.

Notice:

This course's content will amount to 90 hours of study in total. These hours include the learning time guaranteed in classes and the standard study time required for pre-study / review, and completing assignment reports. Try to think and understand yourself. Actively participate in group discussions and contribute to the group's learning activities during class hours.
Students who miss 1/3 or more of classes will not be eligible for a passing grade.

Course Plan

			Theme	Goals
1st Semester
	1st Quarter
		1st	The nature of the planar geometry (1) The primary moment of the section and the centroid	Can calculate the center of view for various cross sections.
		2nd	The nature of the planar geometry (2)The sectional moment and the section quadratic moment, the section synergy moment and the principal axis of the section	Can calculate the section secondary moment, the section quadratic moment, the section synergy moment, and the principal axis of the section for various sections.
		3rd	Axial and beam (1) Stresses and internal forces and internal idol forces, shear stresses in the beam, torsional stresses and bending stresses	Can explain the relationship between the stresses of a virtual section and the internal and internal idol forces. Can explain the state of the shear stress in the beam virtual cross-section, and can derive its formula. Can derive the equation of torsional and bending stresses for round axes and straight beams from the relationship between stress and internal forces.
		4th	Axis and beam (2) Combined beam stress	Can explain the distribution state of stress and strain for combinational beams, and can derive the formula of stress and curvature.
		5th	Curved beam (1) Stress of the curved beam	Can explain the distribution of stresses in the virtual section of the curved beam, and can calculate its magnitude.
		6th	Curved beams (2) Deflection of curved beams, and thin beams	Can calculate the deflection that occurs in curved and thin beams.
		7th	Displacement and Strain (1) Displacement-strain equation	Can explain the displacement-strain equations and the fit-conditions equations, and can apply them to simple problems.
		8th	Midterm exam
	2nd Quarter
		9th	Displacements and strains (2) Principal and maximum shear strains, stress measurements with strain gauges, and the relationship between the elastic modulus	Can explain the coordinate transformation formula for strains in plane strain states, and can calculate the principal and maximum shear strains by using them. Can explain the principle of a resistive strain gauge, and can calculate the principal stresses of plane stresses from the measured values of the rosette gauge. Can explain the equations that are formed between the elastic constants.
		10th	Spherical symmetry and axisymmetric problems (1) Solving problems in a multi-axial stress condition, and thick spherical shell	Can explain the symmetry of thick spherical shells under which internal and external pressures act, and can calculate their stress and deformation.
		11th	Spherical symmetry problem and axisymmetric problem (2) Thick cylinder, and thin pressure vessel	Can explain the symmetry of thick cylinders under which internal and external pressures act, and can calculate their stresses and deformations. Can explain that the formula for exerting stress in a thin-walled pressure vessel is an approximate solution.
		12th	Spherical and axisymmetric problems (3) Combined cylinder and cylinder thermal stresses	Can calculate stress and deformation of combined cylinders using stress and deformation solutions on thick cylinders. Can calculate the stresses and deformations of cylinders with temperature differences in the internal and external faces.
		13th	Spherical symmetry and axisymmetric problems (4) Rotating circle, rotating circle plate, rotating cylinder	Can explain the symmetry of revolving circles, revolving disks, and revolving cylinders, and can calculate their stresses and deformations.
		14th	Basic formula for multi-axis stress (1) The basic formula for multi-axis stress and its solution method, and the basic formula in a right-angle coordinate system	Can explain the unknown functions in a multi-axial stress state and the structure of the problem from the equations that relate them. Can derive equilibrium equations in a right-angle coordinate system, and can apply them to simple problems.
		15th	The basis of multi-axis stress (2) The basis of the cylindrical coordinate system, the base of the spherical coordinate system, and the coordinate transformation to polar coordinates	Can apply the underlying expressions in cylindrical and spherical coordinate systems. Can convert coordinates between a right-angle coordinate system and polar coordinates relative to the underlying formula.
		16th	Final exam

Evaluation Method and Weight (%)

	Examination	Learning situation	Group work	Exercises	Total
Subtotal	60	10	10	20	100
Basic Proficiency	0	0	0	0	0
Specialized Proficiency	60	0	5	20	85
Cross Area Proficiency	0	10	5	0	15