2016 Exercises in Mechanics of Materials

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Academic unit or major
Undergraduate major in Mechanical Engineering
Todoroki Akira  Sakaguchi Motoki  Kurokawa Yu  Suzuki Yoshiro 
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Course description and aims

This course consists of exercises corresponding to the course contents in Mechanics of Materials (MEC.C201) regarding mechanical properties of materials required for machinery strength design and mechanical response of materials making up machinery under external loads. First, students will learn about mechanical properties of materials, stress-strain relationship, and the concepts of allowable stress and safety factor. Next, they will work on exercises illustrating mechanical responses when materials are subjected to tensile, compressive, torsional and bending loads. Finally, they will address practical problems using a method that solves unknown displacement and external load acting on the deformed material based on its elastic strain energy.

Student learning outcomes

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

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Students are given exercise problems.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Type of load Stress and strain Understand the concept of stress and strain, Hooke's law and elastic modulus.
Class 2 Tension and compression Thermal stress Solve stress and strain of bars subjected to tensile and compressive load.
Class 3 Torsion of shaft Bending moment and shearing force Solve stress and strain of shafts subjected to torsional moment. Solve shearing force and bending moment in beams subjected to bending load.
Class 4 Bending stress and moment of inertia of area of beam Deflection of beam Solve inertia of area of beams and bending stress. Solve deflection by bending moment based on the differential equation for deflection curve.
Class 5 Statically indeterminate beam Buckling of column Solve the problem in statically indeterminate beam. Understand stable and unstable, and solve buckling load in columns.
Class 6 Fundamentals of elastic mechanics and combined stress Understand 2-D and 3-D stress components.
Class 7 Elastic strain energy and Castigliano's method Solve the statically indeterminate problem using elastic strain energy based on Castigliano's method.


JSME Textbook Series, Mechanics of Materials, ISBN 978-4-88898-158-3 (Japanese)

Reference books, course materials, etc.

H.Kasano, T.Hara, Y.Minakuchi, Kiso-Zairyo-Rikigaku, Yokendo, ISBN 978-4-8425-0523-7

Assessment criteria and methods

Attending and final exam.

Related courses

  • MEC.C201 : Mechanics of Materials

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students are required to have successfully completed Applied Mechanics (MEC.A201.R) or have equivalent knowledge.

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