Numerical Methods in Structural Analysis
| Title | Αριθμητικές Μέθοδοι Ανάλυσης Κατασκευών (ΥΚ για ΤΕΚΤ) / Numerical Methods in Structural Analysis |
| Code | ΤΚ8120 |
| Faculty | Engineering |
| School | Civil Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Common | No |
| Status | Active |
| Course ID | 600022029 |
Programme of Study: PPS TPM - EISAKTEOI APO 2022 KAI EXĪS
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| "EPISTĪMĪS KAI TECΗNOLOGIAS TŌN KATASKEUŌN" | Compulsory Course belonging to the selected specialization (Compulsory Specialization Course) | 8 | 4 | 4 |
| "YDRAULIKĪS KAI TECΗNIKĪS PERIVALLONTOS" | Elective Courses | 8 | 4 | 4 |
| "GEŌTECΗNIKĪS MĪCΗANIKĪS" | Elective Courses | 8 | 4 | 4 |
| "METAFORŌN KAI DIACΗEIRISĪS ERGŌN" | Elective Courses | 8 | 4 | 4 |
| Academic Year | 2024 – 2025 |
| Class Period | Spring |
| Weekly Hours | 4 |
| Total Hours | 52 |
| Class ID | 600262090
|
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600262090
- eLearning (Moodle):
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
Learning Outcomes
After the succesful completion of the course, the students are expected to: 1) know the basic theory required for describing, formulating and solving the problem of determining the response of a variety of structures (surface and spatial) to static loads, using the finite element method. 2) conduct simple and effective analytical modelling of surface and spatial structures of complex form. 3) Analyze and solve problems of static analysis of surface and spatial constructions with the use of specialized software.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
- Generate new research ideas
- Advance free, creative and causative thinking
Course Content (Syllabus)
General formulation of the finite element method using the principle of virtual work. Stiffness properties [shape functions, element internal stiffness (elasticity) matrix, element (external) stiffness matrix, strain matrix, stress vector, load vector, etc.], of 3-node (triangular), 4-node (rectangular) and 4-node isoparametric elements for plane-stress and plane-strain conditions. Stiffness properties (shape functions, stiffness matrices, etc.) of 4-node rectangular elements for plates in bending. Simulation rules. Error estimation and stress recovery. Connection of different types of elements. Improved analytical modelling approaches using non-conforming quadrilateral finite elements. Analytical modelling of high-rise beams, walls with simple or complicated shape and composite wall-frame systems, using surface (2D) finite elements. Analytical modelling of building slabs for pure bending and diaphragm-action behaviour, using surface (2D) finite elements. Analytical modelling of spatial wall assemblages (wall-cores) with surface (2D) finite elements. Several numerical applications using the software package SAP2000 for the analytical modelling and static analysis of spatial structures, using space-frame, plane-stress, plate-bending and shell finite elements. Also, in the framework of the course, the students elaborate mandatory homework.
Keywords
matrix structural analysis, numerical methods, finite elements
Educational Material Types
- Notes
- Slide presentations
- Multimedia
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Laboratory Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | 1.9 | ✓ | ||
| Reading Assigment | 26 | 0.9 | ✓ | ||
| Written assigments | 31 | 1.1 | ✓ | ||
| Exams | 3 | 0.1 | ✓ | ||
| Total | 112 | 4 |
Student Assessment
Description
Written examinations on the teaching content of the course Oral examinations on the content of the mandatory homework
Student Assessment methods
- Written Assignment (Formative, Summative)
- Oral Exams (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [9629]: Ανάλυση Φορέων με τη μέθοδο των πεπερασμένων στοιχείων, Παπαδρακάκης Μανόλης Βιβλίο [1073]: ΣΤΑΤΙΚΗ ΤΩΝ ΓΡΑΜΜΙΚΩΝ ΦΟΡΕΩΝ, ΜΗΤΣΟΠΟΥΛΟΥ ΕΥΘΥΜΙΑ
Additional bibliography for study
1)Αριθμητικές Μέθοδοι Ανάλυσης των Κατασκευών, Ε.Ν. Μητσοπούλου - Ι.Ν. Δουδούμης, Έκδοση ΑΠΘ, Θεσ/νίκη 2000 2)Σημειώσεις του μαθήματος σε έντυπη και ηλεκτρονική μορφή (καλύπτουν όλη την ύλη που διδάσκεται)
Last Update
25-06-2025
