Course title
H00120002
Introduction to Mechanics in Civil Engineering

KATSUKI Futoshi
Course description
In this class, we will begin with an understanding of the balance of forces, which is the most important and fundamental aspect of learning mechanics, and further deepen our understanding of stress and strain. After that, select the most important and simplest ``beam'' among civil engineering structures. By learning the mechanics of beams, students will acquire the basics of civil engineering mechanics. As for the content of the class, we will first confirm the important parts of solid mechanics. Next, we will understand the mechanical characteristics of beam support conditions and fulcrum reaction forces, and learn about the bending moment distribution and shear force distribution of simple beams under the action of concentrated loads and uniformly distributed loads.
The way the class progresses is that the first half is devoted to lectures, and the second half is devoted to exercises to help students understand the material.
Purpose of class
In this class, we will begin with an understanding of the balance of forces, which is the most important and fundamental aspect of learning mechanics, and further deepen our understanding of stress and strain. After that, select the most important and simplest ``beam'' among civil engineering structures. By learning the mechanics of beams, students will acquire the basics of civil engineering mechanics. As for the content of the class, we will first confirm the important parts of solid mechanics. Next, we will understand the mechanical characteristics of beam support conditions and fulcrum reaction forces, and learn about the bending moment distribution and shear force distribution of simple beams under the action of concentrated loads and uniformly distributed loads.
The way the class progresses is that the first half is devoted to lectures, and the second half is devoted to exercises to help students understand the material.
Goals and objectives
  1. Students will be able to understand the relationship between Newton's three laws and mechanics handled in civil engineering, and will be able to create forces that act on structures and analyze phenomena that lead to destruction.
  2. Students will be able to understand the relationship between (external force, internal force, stress) and (displacement, deformation, strain) and apply it to the analysis of one-dimensional force balance problems.
  3. Students can analyze the behavior of a simple statically fixed beam and calculate the fulcrum reaction force and cross-sectional force distribution. Furthermore, it is possible to analyze the bending stress and shear network force that occur in the cross section of the member.
  4. Students can calculate the centroid position, first moment of area, and second moment of area of a cross section of a simple shape, and apply it to the bending rigidity of structural members.
  5. Students will be able to understand Mohr's stress circle and apply it to principal stress calculations.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

期末試験 Total.
1. 15% 15%
2. 15% 15%
3. 25% 25%
4. 25% 25%
5. 20% 20%
Total. 100% -
Evaluation method and criteria
The evaluation based on the final exam results is 100%, and a total score of 60% or more out of 100 points is considered passing.
Language
Japanese
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. ◎Guidance throughout the lecture
◎Newton's three laws and civil engineering mechanics
・What does it mean when a structure collapses?
◎ Balance of forces (I)
・Learn about resultant force, component force, and rotational moment, and understand the conditions under which an object does not move even if it receives force (force balance).
・About external force, internal force, and stress
Check the law of inertia, law of motion, and law of action and reaction. 50minutes
Reviewing free object diagrams 50minutes
Reviewing external forces, stress, and internal forces 50minutes
2. ◎ Balance of forces (I)
・Deformation of objects
・Understand the relationship between displacement and deformation. Also, using steel as an example, students will learn about the mechanical properties of structural materials and understand Hooke's law.
Read reference materials about displacement, strain, and Hooke's law. 50minutes
Reviewing thermal deformation 50minutes
3. ◎ Balance of forces (Ⅱ)
・Using a one-dimensional axial force member as an example, learn how to balance forces while taking deformation into consideration.
Thoroughly review the content of the second and third lectures. 50minutes
reviewing examples 50minutes
4. ◎Strain component and stress component
・Learn about normal stress, shear stress, and Poisson's ratio
・Learn about the relationship between strain and stress in biaxial stress states
Review and understand the content of the lesson 100minutes
5. ◎Principal stress and Mohr's stress circle (I)
・Uniaxial stress state
・Biaxial stress state
Review and understand the content of the lesson 150minutes
6. ◎Principal stress and Mohr's stress circle (II)
[Exercise/Explanation] Calculation of principal stress
Review the examples and be able to calculate the principal stress. 200minutes
7. ◎Review of previous lessons Reviewing the 1st to 6th lessons 400minutes
8. ◎Free object diagram and reaction force
・Type of fulcrum and type of reaction force
・Free object diagram
After the explanation, learn how to calculate reaction force.
[Exercise/Explanation] Calculation of fulcrum reaction force for simple problems
Thoroughly review the balance of forces learned in the first and second lectures. 100minutes
Review the content of the lesson 50minutes
9. ◎Sectional force (Ⅰ)
・Learn about cross-sectional forces (axial force, shear force, bending moment) for one-dimensional members such as beams and columns
Read the section force section using the "internal force" you learned in the second lesson and reference books. 100minutes
10. ◎Sectional force (Ⅱ)
・In particular, we will explain the relationship between bending moment and bending stress, and at that time, we will also explain the first moment of area, neutral axis, and second moment of area.
Read the section on second moment of area using reference books, etc. 100minutes
Check the examples and be able to calculate the cross-sectional force of a beam member. 100minutes
11. ◎[Exercise/Explanation] Calculation of various moments of inertia
・This lecture will also explain how to find the moment of inertia of a composite cross section.
Based on the content of the 10th lecture, review how to calculate the moment of inertia of area. 100minutes
Check the examples and be able to calculate the moment of inertia and bending stress. 100minutes
12. ◎Shear stress
・Explain in lecture how to calculate shear stress.
Review and understand the lesson content 200minutes
13. ◎Calculation of shear force and bending moment of a simple beam member (simple beam)
In particular, it will be explained along with the handling of distributed loads and moment loads.
Based on the content of the 9th lecture, review the calculation method for the cross-sectional force distribution of beams. 100minutes
Check the examples and be able to calculate the cross-sectional force. 100minutes
14. Final exam implementation and explanation Review the content of lectures from 2nd to 13th. 400minutes
Total. - - 2650minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in outside of the class (ScombZ, mail, etc.)
Textbooks and reference materials
Reference books: Use the distributed materials in class
Prerequisites
Students should fully understand the course content of Introduction to Civil Engineering Structures and Civil Engineering Analysis 1.
Office hours and How to contact professors for questions
  • Questions can be answered in the instructor's room after each class at the Omiya campus.
    At the Toyosu campus, Thursday at the end of the 4th period (at other times when students are in the classroom)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic problem-solving skills
Active-learning course
N/A
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
  • 11.SUSTAINABLE CITIES AND COMMUNITIES
Last modified : Sat Mar 08 04:19:56 JST 2025