Course Objectives
1. Be able to explain the meaning of multiaxial stress, and be able to calculate the principal stress and maximum shear stress acting on any slope for biaxial stress.
2. Be able to calculate strain energy when a member is subjected to tension, compression, or torsion.
3. Understand Castigliano's theorem and be able to apply it to problems such as indeterminate beams.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | The mechanical properties of various metal materials can be evaluated from the stress-strain relationship. | Principal stress and maximum shear stress can be calculated by drawing Mohr's stress circle. | Be able to explain the meaning of multiaxial stress. |
| Achievement 2 | It is possible to calculate the strain energy of a member that is subjected to tension, compression and torsion at the same time. | It is possible to calculate the strain energy of a member subjected to either tensile compression or torsion. | The strain energy of a member subjected to a tensile load can be calculated. |
| Achievement 3 | The reaction force of an indeterminate beam can be found using Castigliano's theorem. | The impact stress and deflection can be calculated using Castigliano's theorem. | You can explain Castigliano's theorem. |
Assigned Department Objectives
学習・教育到達度目標 B-3
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学習・教育到達度目標 D-1
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Teaching Method
Outline:
When an external load is applied to a machine or structure, whether or not those members or the entire structure can withstand the load is determined by the force (stress) and deformation (strain) generated in the member. This subject focuses on beams, shafts, and columns, and aims to help students understand how to calculate stress and deformation, and to acquire the knowledge and ability to apply it to mechanical design. In this course, a faculty member who was in charge of research on design standards for thermal power generation boilers at a company uses his experience to provide lecture-style classes on stress and strain calculation methods.
Style:
Deepen your understanding through lectures and practice problems. Evaluation will be based on the results of regular exams and quizzes. Additionally, since this subject is an academic credit subject, you will be required to submit answers to practice assignments as part of your pre- and post-study. [31 hours of class time + 60 hours of self-study time]
Notice:
In order to understand the lecture contents and be able to apply them to machine design, it is necessary to acquire the "techniques" to perform correct analysis, and I would like students to be sure to carry out independent exercises after the lectures through homework, etc. It is also important not to make mistakes in calculations that involve a mix of large and small numbers and in unit conversions.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 2nd Semester |
| 3rd Quarter |
| 1st |
Explanation of goals, evaluation methods, etc. About combined stress. |
Be able to explain the meaning of multiaxial stress.
|
| 2nd |
Combined stress. |
It is possible to calculate the normal stress and shear stress acting on any slope in a biaxial stress state.
|
| 3rd |
Combined stress. |
It is possible to calculate the normal stress and shear stress acting on any slope in a biaxial stress state.
|
| 4th |
Combined stress. |
The principal stress and maximum shear stress in a biaxial stress state can be determined and the Mohr stress circle can be drawn.
|
| 5th |
Combined stress. |
The principal stress and maximum shear stress in a biaxial stress state can be determined and the Mohr stress circle can be drawn.
|
| 6th |
Combined stress. |
Design calculations can be performed using equivalent bending moments and equivalent torsion moments when tension, bending, and torsion act simultaneously.
|
| 7th |
Combined stress. |
Be able to explain the maximum principal stress theory, maximum shear stress theory, and shear strain energy theory.
|
| 8th |
midterm exam |
|
| 4th Quarter |
| 9th |
Solution using strain energy |
Strain energy can be calculated when a member is subjected to tensile or compressive loads.
|
| 10th |
Solution using strain energy |
Strain energy can be calculated when a member is subjected to torsion/bending load.
|
| 11th |
Solution using strain energy |
Strain energy can be used to calculate the stress that occurs when an impact load is applied to a member.
|
| 12th |
Solution using strain energy |
Strain energy can be used to calculate the stress that occurs when an impact load is applied to a member.
|
| 13th |
Solution using strain energy |
The deflection of the beam can be calculated using Castigliano's theorem.
|
| 14th |
Solution using strain energy |
The reaction force of an indeterminate beam can be calculated using Castigliano's theorem.
|
| 15th |
Solution using strain energy |
Displacements of trusses and curved beams can be calculated using Castigliano's theorem.
|
| 16th |
Final exam/return of answers |
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
| Subtotal | 70 | 0 | 0 | 0 | 0 | 30 | 100 |
| Basic Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Specialized Proficiency | 70 | 0 | 0 | 0 | 0 | 30 | 100 |
| Cross Area Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |