This course aims to teach the basic theory of the strength of materials and relate that to the mechanical behavior of materials and structures from stress and deformation. Topics include mechanical properties, stress and complicated stress, bending, twisting, strain energy, impact loading, buckling, stress concentration, plastic deformation and creep, fatigue and fracture, and nondestructive testing methods.
By the end of this course, students will be able to:
1. acquire basic knowledge related to the strength of materials, such as stress and strain, that are essential to design, production, and operating and maintaining materials and structures.
2. apply their basic knowledge to select materials from their surrounding materials and structures, and determine the form and dimensions of beams or rods.
stress, strain, moment
|Intercultural skills||Communication skills||✔ Specialist skills||✔ Critical thinking skills||✔ Practical and/or problem-solving skills|
Towards the end of class, students will be given exercise problems or group work related to what was taught on that day.
|Course schedule||Required learning|
|Class 1||Role of strength of materials, force and stress||Understand the role of strength of materials, force, and stress.|
|Class 2||Stress and strain, mechanical properties, allowable stress and safety factor||Understand stress and strain, mechanical properties, allowable stress and safety factor.|
|Class 3||Tension and compression of bar||Students must calculate stress, strain, elongation in tension and compression of bar.|
|Class 4||Torsion of bar||Students must calculate stress, strain, deformation in torsion of bar.|
|Class 5||Torsion of member with cross-sections other than circular ones, Bending of beam||Students must calculate stress, strain, deformation in torsion of bar and bending of beam.|
|Class 6||Shearing force diagram (SFD), bending moment diagram (BMD), bending stress||Students must draw SFD, BMD, and calculate bending stress in bending of beam.|
|Class 7||Bending deflection||Students must calculate stress, strain, deformation in bending of beam.|
|Class 8||Beam buckling||Students must calculate buckling force and stress of beam.|
|Class 9||Complicated stress (principal stress, principal shearing stress, Mohr's stress circle, thin wall structure)||Students must calculate complicated stress.|
|Class 10||Energy method (strain energy)||Understand the energy method|
|Class 11||Reciprocal theorem, Castigliano's theorem, principal of virtual work, principal of minimum potential energy||Understand Reciprocal theorem, Castigliano's theorem, principal of virtual work, principal of minimum potential energy|
|Class 12||Frame structure (truss, rahmen)||Students must calculate force and displacement for frame structure|
|Class 13||Matrix displacement method, basics of the finite element method||Understand Matrix displacement method, basics of finite element method|
|Class 14||Strength and design||Understand the guidelines of materials' strength and design|
|Class 15||Plastic deformation, constitutive equation, yielding condition, stress concentration||Understand plastic deformation, constitutive equation, yielding condition, stress concentration|
Will announced in the lecture.
Beer, Johnston, DeWolf, Mazurek, Mechanics of Materials, McGraw Hill.
Tomoaki Tsuji, Nattoku suru Zairyo Rikigaku, Kodansha. (Japanese)
Students' course scores are based on exercise problems (35%) and mid-term exam & report (65%).
There is Web learning plaza (http://weblearningplaza.jst.go.jp/). See basic knowledge course of strength of materials. (Japanese)