This course focuses on mechanical properties and mechanical response of materials under loads. At first, mechanical properties of materials, stress-strain relationship and the concepts of allowable stress and safety factor are explained. Secondary, mechanical responses are introduced in case materials are subjected to tensile, compressive, torsional and bending load. Finally, a method is introduced that solves unknown displacement and external load using the elastic strain energy in the deformed material.
Materials, geometry and dimension of components in mechanical structures should be designed to sustain various external loads including tension, compression, torsion and bending. This course aims to facilitate students' understanding on essential of materials mechanical response under loads and concept of strength design of components in mechanical structures.
At the end of this course, student will be able to:
1) explain the concept of stress and strain in mechanics of materials.
2) solve the stress and strain in tensile, compressive and torsional loading condition.
3) solve the stress and displacement in beam subjected to bending load.
4) express the combined stress state based on essential of elastic mechanics.
5) solve the simple problem in statically indeterminate beam based on the relationship between load and elastic strain energy.
stress, strain, tension, compression, torsion, bending of beam, buckling, strain energy, statically indeterminate problem
✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
During the class, students are given exercise problems related to what is taught on that day to solve.
Course schedule | Required learning | |
---|---|---|
Class 1 | Objective and fundamentals of mechanics of materials | Understand the fundamentals for studying mechanics of materials. |
Class 2 | Stress and strain | Understand the concept of stress and strain, Hooke's law and elastic modulus. |
Class 3 | Tension and compression | Solve stress and strain of bars subjected to tensile and compressive load. |
Class 4 | Thermal stress | Understand thermal stress |
Class 5 | Torsion of shaft | Solve stress and strain of shafts subjected to torsional moment. |
Class 6 | Bending of beam -- Bending moment and shearing force | Solve shearing force and bending moment in beams subjected to bending load. |
Class 7 | Bending of beam -- Bending stress and moment of inertia of area of beam | Solve inertia of area of beams and bending stress. |
Class 8 | Bending of beam -- Beam of uniform strength -- Shearing stress in beams | Solve bending stress in beam of uniform strength and understand shearing force in beams. |
Class 9 | Bending of beam Bending of beam -- Deflection of beam | Solve bending stress in beam of uniform Solve deflection by bending moment based on the differential equation for deflection curve. |
Class 10 | Elastic strain energy of beam and statically indeterminate beam | Solve the problem in statically indeterminate beam using elastic strain energy. |
Class 11 | Buckling of column | Understand stable and unstable, and solve buckling load in columns. |
Class 12 | Buckling of column | Understand stable and unstable, and solve buckling load in columns. |
Class 13 | Complicated stress -- 3D stress state -- Mohr's stress circle | Understand 2-D and 3-D stress components. Understand how to draw the Mohr's stress circle |
Class 14 | Complicated stress -- Fundamentals of elastic mechanics | Understand fundamentals of elastic mechanics |
JSME Textbook Series, Mechanics of Materials, ISBN 978-4-88898-158-3 (Japanese)
H.Kasano, T.Hara, Y.Minakuchi, Kiso-Zairyo-Rikigaku, Yokendo, ISBN 978-4-8425-0523-7 (Japanese)
Students' course scores are based on short tests (70%) and final report (30%).
Students must have successfully completed Applied Mechanics (MEC.A201.R) or have equivalent knowledge.
Motoki SAKAGUCHI ：sakaguchi[at]mep.titech.ac.jp
Contact by e-mail in advance to schedule an appointment.