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| INS5722 | The Finite Element For Structural Analysis | 3+0+0 | ECTS:7.5 | | Year / Semester | Spring Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of CIVIL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Ayşe DALOĞLU | | Co-Lecturer | None | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | The objective of this course is to develop in the engineering student the ability to analyze a given problem in a logical manner, apply the principles of theory of elasticity using continuum models, and develop the necessary formulations together with the conditions under which they may be applied to the analysis and design of engineering structures. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | apply knowledge of mathematics, science and engineering mechanics to solve structural engineering problems. | 1 | | | PO - 5 : | describe and solve various structural engineering problems using finite elements. | 5 | | | PO - 9 : | learn that it is a lifetime process to learn FEM, it is always necessary to follow the resent technical developments. | 9 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Introduction, Classical beam theory, Approximate methods of solutions, Equations in solid mechanics, Minimum potential energy theorem, One - Dimensional elements, C0 Continuity, Finite element Analysis of a long bar, Linear strain bar element, Shape functions in terms of natural coordinates, Truss analysis, C1 Continuity, Finite element analysis of a beam element, Analysis of two dimensional Arches and Frames, C0 triangular elements, Constant Strain Triangle (CST) , Shape functions and Area coordinates, Linear Strain Triangle (LST) , C0 Quadrilateral and Curved Elements, Rectangular finite elements, Integration in two dimensions, Quadrilateral finite elements, Calculation of internal Strains and Stresses, Curved triangular elements, Higher order quadrilateral elements, Application to plate bending problems, Analysis of shell problems using flat plate elements. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction, Classical beam theory, Approximate methods of solution, Ritz method, Derivation of beam equation from energy theorem | | | Week 2 | Equations in solid mechanics, Stress-strain relationships, Strain energy in an elastic body, Minimum potential energy theorem | | | Week 3 | One - Dimensional elements, C0 ? Continuity, Finite element Analysis of a long bar, Linear strain bar element, Shape functions in terms of natural coordinates, Truss analysis | | | Week 4 | ? One - Dimensional elements, C0 ? Continuity, Finite element Analysis of a long bar, Linear strain bar element, Shape functions in terms of natural coordinates, Truss analysis | | | Week 5 | Two Dimensional problems I, C0 continuity triangular elements, Constant Strain Triangle (CST), Shape functions and Area coordinates, Linear Strain Triangle (LST) | | | Week 6 | Two Dimensional problems-I, C0 triangular elements, Constant Strain Triangle (CST), Shape functions and Area coordinates, Linear Strain Triangle (LST) | | | Week 7 | Two Dimensional problems II, C0 Quadrilateral and Curved Elements, Rectangular finite elements, Integration in two dimensions, Quadrilateral finite elements, Calculation of internal Strains and Stresses, Higher order quadrilateral elements | | | Week 8 | Two Dimensional problems-II, C0 Quadrilateral and Curved Elements, Rectangular finite elements, Integration in two dimensions, Quadrilateral finite elements, Calculation of internal Strains and Stresses, Higher order quadrilateral elements | | | Week 9 | Midterm | | | Week 10 | Two Dimensional problems-II, C0 Quadrilateral and Curved Elements, Rectangular finite elements, Integration in two dimensions, Quadrilateral finite elements, Calculation of internal Strains and Stresses, Higher order quadrilateral elements | | | Week 11 | Two Dimensional problems-II, C0 Quadrilateral and Curved Elements, Rectangular finite elements, Integration in two dimensions, Quadrilateral finite elements, Calculation of internal Strains and Stresses, Higher order quadrilateral elements | | | Week 12 | Two ? Dimensional problems-II, C0 Quadrilateral and Curved Elements, Rectangular finite elements, Integration in two dimensions, Quadrilateral finite elements, Calculation of internal Strains and Stresses, Higher order quadrilateral elements | | | Week 13 | One - Dimensional elements, C1 Continuity, Finite element analysis of a beam element, Analysis of Nonuniform beam elements, Analysis of two dimensional Arches and Frames | | | Week 14 | Application to plate bending problems, Finite elements using Kirchoff plate theory, triangular plate bending elements, Rectangular plate bending elements. | | | Week 15 | Application to plate bending problems, Finite elements using Kirchoff plate theory, triangular plate bending elements, Rectangular plate bending elements. | | | Week 16 | Final exam | | | |
| 1 | Cook, D., David S. Malkus, Michael E. Plesha, ; Concepts and Applications of Finite Element Analysis, Third Edition, John Wiley Sons | | | |
| 1 | William Weaver, Paul R. Johnston, 1984; Finite Elements for Structural Analysis, Prentice Hall | | | 2 | Klaus-Jürgen Bathe, 1996; Finite Element Procedures, Prentice Hall | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 23/11/2018 | 2 | 30 | | Homework/Assignment/Term-paper | 1
2
3
4
5
6
7
8
10
11
12
13 | 21/9/2018
28/9/2018
5/10/2018
12/10/2018
19/10/2018
26/10/2018
2/11/2018
9/11/2018
16/11/2018
30/11/2018
7/12/2018
14/12/2018
21/12/2018 | 3 | 20 | | End-of-term exam | 16 | 11/1/2019 | 3 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Arasınav için hazırlık | 12 | 1 | 12 | | Arasınav | 1 | 1 | 1 | | Ödev | 5 | 14 | 70 | | Kısa sınav | 1 | 7 | 7 | | Dönem sonu sınavı için hazırlık | 20 | 1 | 20 | | Dönem sonu sınavı | 1 | 3 | 3 | | Total work load | | | 225 |
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