Mechanics of Materials 2

Course title

A0040400

	SAKAUE Kenichi
	UTSUNOMIYA Takao

Course description

This course is introduced the concept of mechanics based on the classes “Mechanics of materials 1”. Firstly, this course deals with torsion of bars. Next, the analysis for deformation by energy method is introduced. Then, the concepts for two-/three-dimensional stress state is introduced. Finally, buckling of column, mechanical characteristics of materials and various problem are studied.
This course provides various exercises for deep understanding.

Purpose of class

Designing machines and structures are need to ensure safety use based on analyses of stress/deformation of the objects. Mechanics of materials has a important role for design by rule, and it is necessary technical knowledge for mechanical engineers.
The purpose of this class is understanding the concept of design by rule, the analysis for torsion bar, deformation analysis by energy method, and the stress/deformation analysis for two-dimensional stress state.

Goals and objectives

Understanding the analysis of the torsion bars.
Understanding the energy method to calculate deformation of truss structures and bending beams.
Understanding the coordinate transformation for two-dimensional stress state.
Understanding the relationship between stress and strain in two-dimensional stress state.

Language

Japanese

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Torsion of bar 1 - Review of fundamental knowledge - Polar moment of inertia of cross-section - Statically determinate problem for torsion of bar	Review of the class and exercise.	190minutes
2.	Torsion of bar 2 - Transmission shaft - Statically indeterminate problem for torsion of bar	Review of the class and exercise.	190minutes
3.	Energy method 1 - Strain energy - Stress by impact	Review of the class and exercise.	190minutes
4.	Energy method 2 - Reciprocity theorem - Castigliano's theorem	Review of the class and exercise.	190minutes
5.	Energy method 3 - Castigliano's theorem - Virtual external force	Review of the class and exercise.	190minutes
6.	Exercise 1 - Exercise on from 1st to 5th class	Review of the class and exercise.	190minutes
7.	Midterm exam and review - Exam on from 1st to 6th class - Review for the exam	Review of the class and exercise.	190minutes
8.	Two-dimensional stress state 1 - Stress component for two- or three-dimensional stress - Coordinate transformation of two-dimensional stress element - Principal stress and principal shearing stress	Review of the class and exercise.	190minutes
9.	Two-dimensional stress state 2 - Mohr's stress circle - Thin walled structure 1	Review of the class and exercise.	190minutes
10.	Two-dimensional stress state 2 - Thin walled structure 2 - Shaft under bending and twisting	Review of the class and exercise.	190minutes
11.	Two-dimensional strain state - Displacement and strain - Coordinate transformation of two-dimensional strain element	Review of the class and exercise.	190minutes
12.	Generalized Hooke's law - Relation between two- or three-dimensional stress and strain - Relation between elastic modulus	Review of the class and exercise.	190minutes
13.	Buckling of column - Euler buckling - Critical stress of column	Review of the class and exercise.	190minutes
14.	Final exam and review - Exam on from 8th to 13th class - Review for the exam	Review of the class and exercise.	190minutes
Total.	-	-	2660minutes

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Midterm exam	Final exam	Total.
1.	20%		20%
2.	30%		30%
3.		25%	25%
4.		25%	25%
Total.	50%	50%	-

Evaluation method and criteria

Final grade is determined by two exams, midterm exam 50% and final exam 50%.
At least 60 points out of 100 is needed to pass.

Textbooks and reference materials

Textbook is distributed.
References: "Zairyourikigaku", Imai, Hirano, Saimoto, Asakura publishing, (in Japanese).

Prerequisites

Taking class "mechanics of materials 1"

Office hours and How to contact professors for questions

From 16:00 to 17:00 on Thursday, and before and after class in Omiya campus

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates a basic problem-solving skills

Active-learning course

More than one class is interactive

Course by professor with work experience

Work experience	Work experience and relevance to the course content if applicable
N/A	N/A

Education related SDGs:the Sustainable Development Goals

9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
12.RESPONSIBLE CONSUMPTION & PRODUCTION

Last modified : Fri Mar 18 22:16:36 JST 2022