| １． |
Outline |
|
Continuing from "Solid Mechanics 1", students will learn about stresses, strains, and displacements generated in a member made of solid material under elastic deformation. In actual machine design, not only simple conditions handled in Solid Mechanics 1, but also more complex stress, strain, deformation are acting. Students will study the way of thinking and problem solving methods in such a case.
In this lecture, students will acquire knowledge about DP1.
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| ２． |
Objectives |
|
The aims are to understand the following items and to be able to analyze basic problems related to them.
(1) Deflection analysis of statically elastic beam
(2) Analytical method of statically indeterminate elastic beam
(3) Solving method of combined stress problem
(4) Buckling of long columns
(5) Analysis method of thin-walled cylinder
(6) Strain energy and analysis used energy method
|
| ３． |
Grading Policy |
|
The results are evaluated based on the intermediate test (30%) and the regular test (70%).
Basically, some exercise will be given in every lecture. It is a level that can be answered during class. It is important to solve by yourself, so if you are unable to complete in time, please submit your work in the next lecture. Please be sure to submit. The answer and explanation of it will be done in subsequent lectures.
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| ４． |
Textbook and Reference |
|
Text is used the same as "Solid Mechanics 1".
"Introduction to Strength of Materials to Form the Basics of Strength Design", S. Nakayama, Taiga Publishing, ISBN 978-4886615107
Also the reference book is the same as that shown by "Solid Mechanics 1".
"Strength of Materials (New Edition)", T. Murakami, Morikita Publishing, ISBN 978-4627605121
"Strength of Materials", R. Ishida, T. Akita co-author, Morikita publishing, ISBN 978-4627640115
In addition, reference books about exercises are useful for deepening your understanding. The following are listed as an example.
"Exercise for Strength of Materials (New Revised Edition)", J. Oda, T. Miyoshi, Science Corporation, ISBN 978-4781909752
"Exercise for Strength of Materials", edited by the Japan Society of Mechanical Engineers, Japan Society of Mechanical Engineers, ISBN 978-4888981989
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| ５． |
Requirements (Assignments) |
|
Before attending a lecture, please review the example of "Solid Mechanics 1" in the second semester.
Also, mainly as a review, please solve the exercise problem at the end of each chapter of the textbook related to the lecture. In that case, please pay attention to the unit and describe the calculation process properly. (1 hour)
The contents of the next lecture will show relevant parts of the textbook in advance. Also, it will be shown in the materials to be presented on LMS, so reading in advance will help you understand the content of the lecture. (30 minutes to 1 hour)
|
| ６． |
Note |
|
In the lecture, a scientific function calculator is required. In the latter lecture, grid papers, compass, ruler, and protractor may be needed as necessary.
It is necessary to understand trigonometric functions, exponential functions, logarithmic functions, meanings of differentiation / integration, etc. as in "Solid Mechanics 1".
Exercises will be given as appropriate. In preparation and review, it is important to understand the content of the lecture to solve the exercise problem at the end of the chapter. Also, please note that if you are absent from the lecture, it will be difficult to understand the content of the lesson.
|
| ７． |
Schedule |
|
| １. Bending of beam (Review): Review shear force distribution, bending moment distribution diagram, cross section properties and so on which are studied in "Solid Mechanics 1" |
| ２. Bending stress of beam: Consider the bending stress caused by the bending moment loading on the cross section of the beam |
| ３. Shear stress of beam: Consider the stress in the cross section of the beam where bending moment and shear force are loaded |
| ４. Deflection of beam: Consider the deformation of a beam subjected to a load. Shape of deflection, deflection curve with differential equation and learn its solution |
| ５. Deflection Analysis of statically indeterminate elastic beam: Learn solving method of statically indeterminate elastic beam that cannot be solved by static mechanical balance alone |
| ６. Exercises on deflection of beams: For statically determinate beam and statically indeterminate beam, analyze deflection under various conditions |
| ７. Beam of uniform strength: Learn a solution method for a cross section beam whose section shape varies along the length direction of a beam |
| ８. Combined stress and stress of arbitrary cross section: Learn about stress and deformation occurring in a planar member having a plate-like two-dimensional spread which cannot be approximated by linear members such as bars and beams |
| ９. Principal stress and Principal shear stress: Learn about the principal stress which is one of the stresses independent of the coordinate system |
| 10. Mohr's stress circle: Learn to solve Mohr's stress circle, which is a simple method to solve the principal stress graphically |
| 11. Relationship between stress and strain in triaxle stress: Consider the relational expression of the basic stress and strain for the three-dimensional stress state which is the stress state in the actual structural member |
| 12. Buckling of long column: Learn about buckling, which is a deformation perpendicular to the axis generated when a long column receives an axial compressive load |
| 13. Thin-walled cylinder: As an application example of combinatorial stress concept, consider a state where internal pressure acts on a thin-walled cylinder similar to a pressurized aircraft fuselage structure |
| 14. Strain energy and Castigliano's theorem: Learn about the idea of strain energy of an elastic body similar to well-known spring energy and solving elastic problem using it |
| 15. Solving the planar truss: Learn the method to solve the truss structure using strain energy and know the introduction of the finite element method |
|
| １． |
Outline |
|
Continuing from "Solid Mechanics 1", students will learn about stresses, strains, and displacements generated in a member made of solid material under elastic deformation. In actual machine design, not only simple conditions handled in Solid Mechanics 1, but also more complex stress, strain, deformation are acting. Students will study the way of thinking and problem solving methods in such a case.
In this lecture, students will acquire knowledge about DP1.
|
| ２． |
Objectives |
|
The aims are to understand the following items and to be able to analyze basic problems related to them.
(1) Deflection analysis of statically elastic beam
(2) Analytical method of statically indeterminate elastic beam
(3) Solving method of combined stress problem
(4) Buckling of long columns
(5) Analysis method of thin-walled cylinder
(6) Strain energy and analysis used energy method
|
| ３． |
Grading Policy |
|
The results are evaluated based on the intermediate test (30%) and the regular test (70%).
Basically, some exercise will be given in every lecture. It is a level that can be answered during class. It is important to solve by yourself, so if you are unable to complete in time, please submit your work in the next lecture. Please be sure to submit. The answer and explanation of it will be done in subsequent lectures.
|
| ４． |
Textbook and Reference |
|
Text is used the same as "Solid Mechanics 1".
"Introduction to Strength of Materials to Form the Basics of Strength Design", S. Nakayama, Taiga Publishing, ISBN 978-4886615107
Also the reference book is the same as that shown by "Solid Mechanics 1".
"Strength of Materials (New Edition)", T. Murakami, Morikita Publishing, ISBN 978-4627605121
"Strength of Materials", R. Ishida, T. Akita co-author, Morikita publishing, ISBN 978-4627640115
In addition, reference books about exercises are useful for deepening your understanding. The following are listed as an example.
"Exercise for Strength of Materials (New Revised Edition)", J. Oda, T. Miyoshi, Science Corporation, ISBN 978-4781909752
"Exercise for Strength of Materials", edited by the Japan Society of Mechanical Engineers, Japan Society of Mechanical Engineers, ISBN 978-4888981989
|
| ５． |
Requirements (Assignments) |
|
Before attending a lecture, please review the example of "Solid Mechanics 1" in the second semester.
Also, mainly as a review, please solve the exercise problem at the end of each chapter of the textbook related to the lecture. In that case, please pay attention to the unit and describe the calculation process properly. (1 hour)
The contents of the next lecture will show relevant parts of the textbook in advance. Also, it will be shown in the materials to be presented on LMS, so reading in advance will help you understand the content of the lecture. (30 minutes to 1 hour)
|
| ６． |
Note |
|
In the lecture, a scientific function calculator is required. In the latter lecture, grid papers, compass, ruler, and protractor may be needed as necessary.
It is necessary to understand trigonometric functions, exponential functions, logarithmic functions, meanings of differentiation / integration, etc. as in "Solid Mechanics 1".
Exercises will be given as appropriate. In preparation and review, it is important to understand the content of the lecture to solve the exercise problem at the end of the chapter. Also, please note that if you are absent from the lecture, it will be difficult to understand the content of the lesson.
|
| ７． |
Schedule |
|
| １. Bending of beam (Review): Review shear force distribution, bending moment distribution diagram, cross section properties and so on which are studied in "Solid Mechanics 1" |
| ２. Bending stress of beam: Consider the bending stress caused by the bending moment loading on the cross section of the beam |
| ３. Shear stress of beam: Consider the stress in the cross section of the beam where bending moment and shear force are loaded |
| ４. Deflection of beam: Consider the deformation of a beam subjected to a load. Shape of deflection, deflection curve with differential equation and learn its solution |
| ５. Deflection Analysis of statically indeterminate elastic beam: Learn solving method of statically indeterminate elastic beam that cannot be solved by static mechanical balance alone |
| ６. Exercises on deflection of beams: For statically determinate beam and statically indeterminate beam, analyze deflection under various conditions |
| ７. Beam of uniform strength: Learn a solution method for a cross section beam whose section shape varies along the length direction of a beam |
| ８. Combined stress and stress of arbitrary cross section: Learn about stress and deformation occurring in a planar member having a plate-like two-dimensional spread which cannot be approximated by linear members such as bars and beams |
| ９. Principal stress and Principal shear stress: Learn about the principal stress which is one of the stresses independent of the coordinate system |
| 10. Mohr's stress circle: Learn to solve Mohr's stress circle, which is a simple method to solve the principal stress graphically |
| 11. Relationship between stress and strain in triaxle stress: Consider the relational expression of the basic stress and strain for the three-dimensional stress state which is the stress state in the actual structural member |
| 12. Buckling of long column: Learn about buckling, which is a deformation perpendicular to the axis generated when a long column receives an axial compressive load |
| 13. Thin-walled cylinder: As an application example of combinatorial stress concept, consider a state where internal pressure acts on a thin-walled cylinder similar to a pressurized aircraft fuselage structure |
| 14. Strain energy and Castigliano's theorem: Learn about the idea of strain energy of an elastic body similar to well-known spring energy and solving elastic problem using it |
| 15. Solving the planar truss: Learn the method to solve the truss structure using strain energy and know the introduction of the finite element method |
|
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