Subject Datasheet
Completion requirements
Subject Datasheet
Download PDFI. Subject Specification
1. Basic Data
1.1 Title
Structures
1.2 Code
BMEEOHSMSFST01-00
1.3 Type
Module with associated contact hours
1.4 Contact hours
| Type | Hours/week / (days) |
| Lecture | 2 |
| Seminar | 1 |
1.5 Evaluation
Exam
1.6 Credits
4
1.7 Coordinator
| name | Dr. Kollár László |
| academic rank | Professor |
| kollar.laszlo@emk.bme.hu |
1.8 Department
Department of Structural Engineering
1.9 Website
1.10 Language of instruction
hungarian
1.11 Curriculum requirements
Optional in the Structural Engineering (MSc) programme
1.12 Prerequisites
1.13 Effective date
1 September 2025
2. Objectives and learning outcomes
2.1 Objectives
The objective of the subject is the modelling of beams, membrans, plates and the simplest circular shell structures. The most important analytical solutions, the basics and assumptions of numerical solutions are introduced. It’s presented that the different structural considerations can be implemented in the design codes and regulations. The fundamental membrane solutions, shear lag effect, effective width, shear deformation, second-order effects and large deformations, anisotropy and the vibration of floors are also analysed. The main focus of the subject is the analysis of plates and slabs.
2.2 Learning outcomes
Upon successful completion of this subject, the student:
A. Knowledge
1. Will learn the methods of structural design and calculation.
2. Will learn the behaviour and design of membrane-type structures.
3. Will learn the boundaries of numerical calculations.
4. Will learn the typical behaviour of rods.
5. Will learn the calculation methods of the internal forces and displacements of plate structures.
6. Will learn the behaviour and design steps of plates.
7. Will learn the basic concepts of plastic design.
8. Knowledge of the basic design principles and methods used in civil engineering practice
B. Skills
1. Will be able to calculate discs, beams and plates.
2. Will be able to determine the shear deformation and take into consideration the second order effects.
3. Will be able to design plates, take into account the second order effects.
4. Will be able to calculate the vibration of floors, also in case of slabs supported by beams.
5. Understands the behaviour of engineering installations and the phenomena affecting engineering work.
6. Communicates in technical terms.
7. Processes and uses literature sources.
C. Attitudes
1. Cooperates with the lecturer and with fellow students.
2. Is ready to apply numerical computational tools.
3. Is intent on understanding the behaviour of structures.
4. Is intent on precise and error-free problem solving.
5. Is attending to the classes as a responsible member of the community.
D. Autonomy and Responsibility
1. Is open to the new information.
2. Is able to think in system.
3. Applies specific working methods to carry out his/her activities with or without little supervision.
4. Uses cognitive skills to make decisions and to move logically from one idea to another.
2.3 Methods
Lectures, exercises, written and oral communications, application of IT tools and techniques, assignments solved individually.
2.4 Course outline
1. Introduction. Modelling of structures, types of beam and surface structures. 2D equations of elasticity, stresses and their transformation. Fracture conditions.
2. Deformations and their transformation, material equations, anisotropy. Fibrous material structures and planar grids.
3. 3D equations of elasticity, fracture conditions. Plane strain and plane stress state
4. Noteworthy disc problems: accurate solution of rods, stresses in the vicinity of holes, frame corners, strip foundation, shear-lag effect.
5. Problem solving.
6. Euler-Bernoulli and Timoshenko rod models and their applications. Limitations of rod models.
7. Spatial rod models, simple and restrained warping torsion.
8. Elastic, elastic-rigid, elastic-plastic and composite (glass, wood, stone, steel, reinforced concrete) rods.
9. First and second order calculations, elements subjected to compression and bending, large deflections of beams. Problem solution.
10. Theory of thin plates, load bearing. Rectangular plates.
11. Large deflections of plates. Orthotropic plates. Vibration of slabs, vibration of slabs supported by beams.
12. Vibration of slabs continued. Plates on elastic foundation. Winkler and half-space model. Ponding.
13. Problem solving.
14. Stability of vessels. Load bearing as beam, plate and shell. Elastic and plastic analysis.
The above programme is tentative and subject to changes due to calendar variations and other reasons specific to the actual semester. Consult the effective detailed course schedule of the course on the subject website.
The above programme is tentative and subject to changes due to calendar variations and other reasons specific to the actual semester. Consult the effective detailed course schedule of the course on the subject website.
2.5 Study materials
L. P. Kollár, G. Tarján: Mechanics of Civil Engineering Structures, 2021
online solution manual for the textbook (http://solutionmanual.is-great.net/)
2.6 Other information
0
2.7 Consultation
The instructors are available for consultation during their office hours, as advertised on the department website.
This Subject Datasheet is valid for:
2026/2027 semester I
II. Subject requirements
Assessment and evaluation of the learning outcomes
3.1 General rules
The assessment of the learning outcomes specified in clause 2.2. above and the evaluation of student performance occurs via three midterm tests, three homeworks and the examination.
3.2 Assessment methods
| Assessment Name (Type) | Code | Assessed Learning Outcomes |
|---|---|---|
| MT1 (summative assessment) | MT1 | A.1-A.3; B.1, B.5-B.7; C.1-C.5, D.1-D.4 |
| MT2 (summative assessment) | MT2 | A.4, A.7-A.8; B.1-B.2, B.5-B.7; C.1-C.5; D.1-D.4 |
| MT3 (summative assessment) | MT3 | A.5-A.6; B.1, B.3-B.7; C.1-C.5; D.1-D.4 |
| HW | HW | A.1-A.8; B.1-B.7; C.1-C.5; D.1-D.4 |
| written exam (summative assessment) | E | A.1-A.8; B.1-B.7; C.1-C.5; D.1-D.4 |
The dates of deadlines of assignments/homework can be found in the detailed course schedule on the subject’s website.
3.3 Evaluation system
| Code | Weight |
|---|---|
| MT1 | 15% |
| MT2 | 15% |
| MT3 | 15% |
| HW | 9% |
| E | 61% |
| Total | 100% |
3.4 Requirements and validity of signature
3.5 Grading system
| Grade | Score (P) |
|---|---|
| excellent (5) | 80≤P |
| good (4) | 70≤P<80% |
| satisfactory (3) | 60≤P<70% |
| pass (2) | 50≤P<60% |
| fail (1) | P<50% |
3.6 Retake and repeat
There is no repetition of the midterm tests.
3.7 Estimated workload
| Activity | Hours/Semester |
|---|---|
| contact hours | 3x14=42 |
| preparation for the MT | 3x6=18 |
| preparation of the HW | 3x10=30 |
| preparation for the exam | 30 |
3.8 Effective date
1 September 2025
This Subject Datasheet is valid for:
2026/2027 semester I