Strength of Materials II

Course Information

College	Akashi College	Year	2024
Course Title	Strength of Materials II
Course Code	6429	Course Category	Specialized / Compulsory
Class Format	Lecture	Credits	Academic Credit: 2
Department	Mechanical Engineering	Student Grade	4th
Term	Second Semester	Classes per Week	2
Textbook and/or Teaching Materials	Strength of Materials I, Tomohiro MORISHITA, Masahiko HIRAO, Morikita Publishing Co.
Instructor	MORISHITA Tomohiro

Course Objectives

1) Understand the buckling phenomena of long columns, and can design safe columns.
2) Can calculate the stress value and the resulting deformation amount when one-dimensional stress is acting on an non-static member of a mechanical structure.
3) Can use the principle of superposition to calculate the stress and deformation of static and non-static parts of mechanical structures.
4) Understand the multi-axial stress state and its strength evaluation method, and can design the strength of the two-dimensional stress state.
5) Understand the method of calculating the elastic strain energy stored in the workpiece and the theorem associated with it, and can apply it to the calculation of the stress and deformation of the workpiece.
6) Can discuss material dynamics issues with others based on logical thinking.

Rubric

	Ideal Level	Standard Level	Unacceptable Level
(1) Buckling of long columns	Understand the buckling phenomena of long columns, can calculate the buckling loads from the differential equations of the deflection curve correctly, and can design safe columns.	Understand the buckling phenomena of the long column and can design a safe column using Euler's formula and column experimental formula.	Do not understand the buckling phenomena of long columns correctly, and cannot design a safe column using Euler's formula and column experimental formula.
(2) Statically indeterminate problem	Can estimate the deformation state correctly when one-dimensional stress is acting on an non-static member of a mechanical structure, and can calculate the stress value and the resulting deformation amount.	Understand the solution pattern in which one-dimensional stress acts on non-static member of a mechanical structure, and can calculate the stress value and the resulting deformation value using the solution pattern.	Cannot determine the static or non-static nature of mechanical structures. Cannot calculate the stress value and the resulting deformation correctly when one-dimensional stress is acting on a non-static member.
(3) Principle of superposition	Can explain that the principle of superposition is formed in the stress and deformation of static and non-static parts of mechanical structures, and can calculate stresses and deformations applying that.	Can use the principle of superimposition can to calculate the stress and deformation of static and non-static parts of mechanical structures.	Cannot use the principle of superimposition correctly to calculate the stress and deformation of static and non-static parts of mechanical structures.
(4) Strain energy	Can explain strain energy during elastic deformation, plastic deformation, and shock loads when static loads are acting. Understand the theorem of elastic strain energy, and can apply the theorem to calculate the stress and deformation of the workpiece.	Understand the method of calculating the elastic strain energy stored in the workpiece and the theorem associated with it, and can apply it to the calculation of the stress and deformation of the workpiece.	Cannot calculate the elastic strain energy stored in the workpiece. Also, cannot apply the theorem correctly to the calculation of stress and deformation of the workpiece.
(5) Properties of plane figure	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 strength 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.
(6) Shaft and beam	Can explain the relationship between internal forces and stresses for shaft, straight beams, and composite 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 shaft, straight beams, and composite beams, and can derive various formulations on them.	Cannot explain the relationship between internal forces and stresses for shaft, straight beams, and composite beams, and cannot derive the various formulae related to these.
(7) Logical thinking and interactive communication	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.

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 material mechanics I in the third year, students learn more advanced issues and prepare for the fifth year of material dynamics III, the first year of the major for material dynamics specials, and the second year of the major for fracture mechanics.

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 evaluation.

Characteristics of Class / Division in Learning

Active Learning

Aided by ICT

Applicable to Remote Class

Course Plan

			Theme	Goals
2nd Semester
	3rd Quarter
		1st	Buckling of long columns	Understand the buckling phenomena of long columns, and can design safe columns.
		2nd	Non-static problem (1) Bars and combination bars constrained by rigid walls	Understand how to solve non-static problems, and can calculate stresses and deformations for basic problems.
		3rd	Non-static problem (2) Non-static static truss, thermal stress, and non-static beam	Can explain how to solve non-static problems with truss, thermal stress, and non-static beam, and can calculate stress and deformation in these problems.
		4th	Principle of superposition (1) The problem is divided, simplified, and static beams.	Can properly break down and separate complex problems. Can apply the principle of superposition to the calculation of stress and deflection for static beams.
		5th	Principle of superposition (2) Non-static beam, and continuous beam	Can apply the principle of superposition to an incapacitated beam. Can use the three-moment theorem for continuous beams.
		6th	Principle of superposition (3) Superposition of the axial force and the idol in the bend	Can calculate the stress of the rod acting on the axial force and the internal bending force using the superposition principle.
		7th	Principle of superposition (4) Asymmetric bending, and tight coil spring	Can explain the unique phenomena of asymmetric bending of beams, and can calculate the stresses using the principle of superposition. Can explain the stress state of a tight coil spring, and can calculate the stresses using the superposition principle.
		8th	Strain energy (1) Strain energy, and the law of conservation of energy	Can calculate strain energy when the workpiece is subjected to axial, shear, torsional, and bending loads respectively. Can apply the law of conservation of energy to the calculation of deformation.
	4th Quarter
		9th	Strain energy (2) Impact load	Understand the strain energy stored in the workpiece in the event of impact loads can be understood, and can apply the law of conservation of energy to impact load problems.
		10th	Strain energy (3) Castigliano's theorem	Understand the Castigliano's theorem, and can apply it to static problems of axial, torsional, and bending loads.
		11th	Strain energy (4) Least work theorem and reciprocal theorem	Understand the least work theorem and reciprocal theorem, and can apply it to non-static problems of axial, torsional, and bending loads.
		12th	The nature of the planar geometry (1) Geometrical moment of area and the centroid	Can calculate the centroid for various cross sections.
		13th	The nature of the planar geometry (2) Moment of inertia of area and polar moment of inertia of area, product of inertia of area and the principal axis of cross section	Can calculate moment of inertia of area and polar moment of inertia of area, product of inertia of area, and the principal axis of cross section for various sections.
		14th	Shaft and beam (1) Stresses and internal forces and internal couple, torsional stresses and bending stresses	Can explain the relationship between the stresses and the internal moment and internal couple. Can derive the equation of torsional stress for round shaft and bending stresses for straight beams from the relationship between stress and internal forces.
		15th	Shaft and beam (2) Stress of composite beam	Can explain the distribution state of stress and strain for composite beams, and can derive the formula of stress and curvature.
		16th	Final exam

Evaluation Method and Weight (%)

	Examination	Group work	Total
Subtotal	90	10	100
Basic Proficiency	0	0	0
Specialized Proficiency	90	5	95
Cross Area Proficiency	0	5	5