TOHOKU UNIVERSITY JUNIOR YEAR PROGRAM IN ENGLISH -Science, Engineering & Agricultural Science- 2012-2013TOHOKU UNIVERSITY WEB SITE

CURRICULUM PLAN

4. Course Descriptions

Mechanics of Materials

Prof. Hideo MIURA, Assoc. Prof. Hironori TOHMYOH
Assoc. Prof. Tomonaga OKABE

Mechanics of materials is a branch of applied mechanics that deals with the basic behavior of solid bodies subjected to various types of loading. The knowledge of the stress and strain set up within the bodies and resulting deflection is a prerequisite for the structural design of industrial products and infrastructures such as buildings, roads, and bridges.

This course is intended as an introductory course in the mechanics of solids offered to engineering students. It concentrates on developing analysis techniques from principle for a range of practical problems that include simple structures, pressure vessels, beams and shafts. This course is one semester course. The topics covered in this course are listed in the syllabus as is shown below.

After the presentation of the underlying theory for each topic, the students will be provided with problems for homework to aid the understanding of the principles. It is assumed that the students have some Mechanics of Materials experience in elementary statics (mechanics of rigid bodies) and mathematics (such as differentiation and integration) . The student’s performance will be evaluated by considering the results of homework and examinations.

  1. Introduction(1): Modeling of engineering systems and concepts of stress and strain
  2. Introduction (2): Hooke’s law, and stress-strain diagram, strength and stiffness
  3. Tension, compression and shear (1): Pin-jointed structures and statically indeterminate problems
  4. Tension, compression and shear (2): Thermal stress and residual stresses, thin rings, and stress concentration
  5. Mid-term examination(1)
  6. Combined stresses (1): Biaxial tension, normal stress and shear stress, plane stress
  7. Combined stress(2): Stress-strain relations
  8. Torsion (1): Torsion of circular shafts, and closecoiled helical spring
  9. Torsion (2): Shaft of rectangular or profile section and thin-walled tube of arbitrary cross section
  10. Mid-term examination(2)
  11. Shearing force and bending moment in a beam: Type of supports for beams and reactions, type of loads on a beam
  12. Stress in a beam
  13. Deflection in a beam
  14. Statically indeterminate beam
  15. Final examination

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