Strength Materials

Numbering Code U-AGR03 2C116 LJ83 Year/Term 2021 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year 2nd year students Target Student
Language Japanese Day/Period Wed.2
Instructor name NAKASHIMA HIROSHI (Graduate School of Agriculture Professor)
Outline and Purpose of the Course The lecture focuses on methods to analyze the deformation and stress that occur when materials are exposed to external force, in particular, the statically indeterminate structure of a beam, for the purpose of designing buildings and machines. We will also cover the basics of the finite element method (FEM), the most widely used structural analytical method in contemporary computer-aided engineering.
Course Goals To understand the relationship between stress and strain; to be able to work out the bending moment distribution of various beams; to be able to solve various statically indeterminate problems related to beams using the multiple integral, superimposition and energy method; to understand cylindrical shaft twist and be able to work out power transmission; and to explain that the finite element method means solving the sprint formula.
Schedule and Contents One or two weeks will be spent on each of the following ten topics:

1. Guidance and review of applied mechanics (the relationship between stress and strain, the idea of the bending moment, and a review of how to solve static problems)
2. Mohr's stress circle (combined stress state and Mohr's stress circle)
3. Law of energy (reciprocity theorem and Castigliano's theorem)
4. Resolving beam deflection using the law of energy (cantilever support concentrated load, both-end support concentrated load, and both-end support distributed load)
5. Statically indeterminate problems (1) (1-D stick's axial direction compression by tensile strength, thermal stress problems, and internal stress)
6. Statically indeterminate problems (2) (statically indeterminate problems of both-end fixed simple beam, statistically indeterminate problems of the one-end fixed and one-end simply supported beam)
7. Statically indeterminate problems (3) (statically indeterminate problems of continuous beam)
8. Twist (cylindrical rod twist, power transmission, hollow round rod twist, and cylindrical shaft receiving bend and twist)
9. Special beams (combined beam, reinforced concrete, stress and strain of curved beam, section modulus, and strain energy of thin‐walled curved beam)
10. Finite element method (1-D problems, the concept of FEM, spring model, programming, simply supported beam problems, and cantilever beam problems)
Feedback (return of reports and comments on answers)
<<End-of-semester exam>>
Evaluation Methods and Policy 【Assessment method】
Assessment scores are out of 100 points, with 5 points for weekly quiz, 5 points for reports, and 90 points for the term-end exam..

【Assessment criteria】
Assessment criteria and policy are drawn from "Assessment criteria and policy" in the current version of the Faculty of Agriculture Student Handbook.
Course Requirements Applied Mechanics (C115) is a prerequisite.
Study outside of Class (preparation and review) Students are required to prepare for and review each week's lecture using the distributed material. The material contains questions for the report, so it is advisable to respond to them in a timely manner.
Textbooks Textbooks/References Handouts will be supplied.
References, etc. To be introduced during class
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