Mechanics of Materials 2

Numbering Code U-ENG25 25005 LJ77
U-ENG25 25005 LJ75
U-ENG25 25005 LJ71
Year/Term 2021 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Fri.2
Instructor name BIWA SHIROU (Graduate School of Engineering Professor)
Outline and Purpose of the Course The basic treatments given in Mechanics of Materials 1 are extended to problems such as bending of statically indeterminate beams, torsion of bars, buckling of columns, cylindrical vessels subjected to internal/external pressures. More general treatments of stresses and strains and their relations in two- or three-dimensional cases are also explained.
Course Goals The aim of this subject is to understand the analytical methods for structural members subjected to various types of loading, and the treatments of two- or three-dimensional stresses and strains, based on the basic ideas learnt in Mechanics of Materials 1.
Schedule and Contents The following topics are discussed in the lecture, but subject to possible changes according to each year's situations.
Week 1: Bending of beams (basic equations, Castigliano's theorem, solution methods)
Week 2: Complex problems of beams (statically indeterminate beams, curved beams)
Week 3: Fundamentals of elasticity (1) (definition of stress, equilibrium equations)
Week 4: Fundamentals of elasticity (2) (stresses on an arbitrarily inclined plane, Mohr's circle of stress)
Week 5: Fundamentals of elasticity (3) (principal stresses, correspondence to eigenvalue problems)
Week 6: Fundamentals of elasticity (4) (definition of strain)
Week 7: Fundamentals of elasticity (5) (strains in an arbitrary direction, Mohr's circle of strain)
Week 8: Fundamentals of elasticity (6) (generalized Hooke's law, plane stress/plane strain, relation among elastic constants)
Week 9: Solution of exercise problems
Week 10: Torsion of bars (1) (torsion of bars of circular cross-section)
Week 11: Torsion of bars (2) (coil springs, combined bending and torsion)
Week 12: Buckling of columns (buckling loads, column under eccentric loading, buckling design)
Week 13: Axially symmetric problems (basic equations, thick-walled and thin-walled cylinders)
Week 14: Bending of plates; Solution of exercise problems
Week 15: Final examination
Week 16: Feedback
Evaluation Methods and Policy Grading is made based on the report assignments (30%) and the final examination (70%), but their weights are subject to change. Occasional changes will be announced in the class. The total score is evaluated between 0 and 100 points (the pass mark is 60).
Course Requirements Understanding of Mechanics of Materials 1 and other basic subjects such as calculus, linear algebra, and mechanics of particles and rigid bodies is prerequisite.
Study outside of Class (preparation and review) Contents of Mechanics of Materials should be fully reviewed. Reports will be assigned, which need to be solved as homeworks. In addition, it is desirable that an enrolled student work on the textbook by him/herself prior or after each lecture.
Textbooks Textbooks/References Fundamentals of Strength of Materials (Zairyo-Rikigaku no Kiso) , T. Shibata et al., (Baifu-kan), ISBN:ISBN4-563-03465-7
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