Hiroshima University Syllabus

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Academic Year 2020Year School/Graduate School School of Engineering
Lecture Code K8901040 Subject Classification Specialized Education
Subject Name エネルギー原理と構造解析
Subject Name
Subject Name in
Energy Method for Structural Analysis
Instructor KHAJI NASER
カジ ナセル
Campus Higashi-Hiroshima Semester/Term 3rd-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Mon3-4,Thur3-4:ENG 219
Lesson Style Lecture Lesson Style
【More Details】
Lecture using the following English and Japanese textbooks. 
Credits 2.0 Class Hours/Week   Language on Instruction E : English
Course Level 3 : Undergraduate High-Intermediate
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 13 : Civil Engineering
Eligible Students The third year students in the Civil and Environmental Engineering Program
Keywords Virtual work, Statically indeterminate structures, Force method of analysis, Kinematically indeterminate structures, Slope-deflection method, Matrix structural analysis, Stiffness matrix, Stiffness equation, Finite element method 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
This subject is related to (C) ability to understand the components of problems and (D) ability to solve problems in the learning and educational goals of the program. 
Criterion referenced
Program of Civil and Environmental Engineering
(Abilities and Skills)
・Ability to structuralize problems
・Ability to analyze  problems 
Class Objectives
/Class Outline
Understanding of the following articles is class objectives.
1. How to analyze statically indeterminate structures by the principle of energy ((C) ability to understand the components of problems, (D) ability to solve problems)
2. The fundamentals of the finite element method for structural analysis and the application to simple structures ((C) ability to understand the components of problems, (D) ability to solve problems) 
Class Schedule Lesson 1: Guidance; The statically determinate structures and the statically indeterminate structures
Lesson 2: Analysis of statically indeterminate structures by the force method; General procedure
Lesson 3: Maxwell's theorem of reciprocal displacements; Betti's law; Method of virtual work (or, Unit-load method)
Lesson 4: Force method of analysis for beams and frames
Lesson 5: Force method of analysis for trusses
Lesson 6: Displacement method of analysis: slope-deflection equations
Lesson 7: Slope-deflection method for beams
Lesson 8: Midterm exam
Lesson 9: Slope-deflection method for frames with/without sidesway
Lesson 10: Fundamentals of the stiffness method; Member stiffness matrix
Lesson 11: Displacement and force transformation matrices; Member global stiffness matrix
Lesson 12: Truss stiffness matrix; Application of the stiffness method for truss analysis
Lesson 13: Beam analysis using the stiffness method; An introduction to finite element method
Lesson 14: Beam element stiffness matrix; Beam-structure stiffness matrix
Lesson 15: Application of the stiffness method for beam analysis; Beam elements subjected to distributed/intermediate loadings

Lesson 16: Final exam 
Tatsuro Sakimoto: Structural Mechanics [Ver. 2], the second volume,  Morikita Publishing Co. Ltd. (2012) (in Japanese), ISBN 978-4-627-42522-5.
R. C. Hibbeler: Structural Analysis [9th Edition], Published by Pearson Prentice Hall (2015), ISBN-10: 0-13-394284-8. 
PC or AV used in
Textbook, Handouts 
Suggestions on
Preparation and
Reviewing each lesson 
Grading Method Grading will be based on a written midterm exam (45%) and a written final exam (55%). Credits will be given to students who get a score over 60%. 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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