Subject Datasheet

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I. Subject Specification

1. Basic Data
1.1 Title
Structures 1
1.2 Code
BMEEOHSMS51
1.3 Type
Module with associated contact hours
1.4 Contact hours
Type Hours/week / (days)
Lecture 3
Seminar 1
1.5 Evaluation
Exam
1.6 Credits
5
1.7 Coordinator
name Dr. Kollár László
academic rank Professor
email kollar.laszlo@emk.bme.hu
1.8 Department
Department of Structural Engineering
1.9 Website
1.10 Language of instruction
hungarian and english
1.11 Curriculum requirements
Compulsory in the Structural Engineering (MSc) programme
1.12 Prerequisites
1.13 Effective date
5 February 2020

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. Knowledge of the methods of design and calculation of load bearing supporting structures.
2. Knowledge of the behaviour and design of disc(plate)-like structures.
3. Knowledge of the limitations of numerical calculations.
4. Knowledge of the characteristics of the behaviour of beams.
5. Knowledge of the calculation methods of stresses and strains of plate structures.
6. Knowledge of the behaviour and design principles of plates.
7. Knowledge of the principles of plastic design.
8. Knowledge of the basic design principles and methods applied in civil engineering practice.

B. Skills

1. Able to calculate discs, beams, plates.
2. Able to determine the shear deformation in beams and to take into account the second-order effect.
3. Able to calculate and design plates, to take into account the second-order effects.
4. Able to calculate the vibration of plates also in the case of beam supports.
5. Understands the behaviour of engineering structures and the phenomena influencing engineering tasks.
6. Communicates in a technical manner and accurately.
7. Processes and uses literature sources.

C. Attitudes
1. Expands his/her knowledge through continuous learning.
2. Is open to the use of numerical tools.
3. Strives to understand the behaviour of load bearing structures.
4. Strives to solve problems accurately and without errors.
5. Participates in classes as a responsible member of the community.
D. Autonomy and Responsibility

1. Openly accepts and considers new knowledge.
2. Uses a systematic approach during thinking.
3. Uses a unique way of working to carry out activities with little or no supervision.
4. Uses cognitive skills to make decisions and to logically move 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 bar and surface structures. 2D equations of elasticity, stresses and their transformation. Failure criteria.
2. Strains and their transformation, material equations, anisotropy. Fibrous structures and plane lattices.
3. 3D equations of elasticity, failure criteria. Plane strain and plane stress state
4. Notable plate solutions: “exact” solution of bars, stresses in the vicinity of holes, frame corners, strip foundation, shear-lag effect.
5. Problem solving.
6. Euler-Bernoulli and Timoshenko beam models and their applications. Limitations of beam models.
7. 3D bar models, Saint-Venant torsion and restrained warping.
8. Elastic, elastic-brittle, elastic-plastic and composite material (glass, wood, stone, steel, reinforced concrete) beams.
9. First and second order calculation, beams subjected to compression and bending, large deflections of beams. Problem solving.
10. Theory of thin plates and their load-bearing. Rectangular plates.
11. Large deflections of plates. Orthotropic plates. Vibrations of slabs, vibrations of slabs supported by beams.
12. Vibrations of slabs (continuation). Plates on elastic foundation. Winkler and half-space model. Ponding.
13. Problem solving.
14. Stability of floating structures. Load-bearing as a bar, plate, shell. Elastic and plastic calculation.

Due to holidays during the semester, the program is for informational purposes only; the exact dates are included in the "Detailed Semester Schedule" available on the course 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
Kollár L. P., Tarján G.: Tartószerkezetek elmélete és számítása, 2015
2.6 Other information
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 tests and the examination.
3.2 Assessment methods
Evaluation form Abbreviation Assessed learning outcomes
1. midterm test MT1 A.1-A.3; B.1, B.5-B.7; C.1-C.5, D.1-D.4
2. midterm test MT2 A.4, A.7-A.8; B.1-B.2, B.5-B.7; C.1-C.5; D.1-D.4
1.-3. Homework HW1-HW3 A.1-A.8; B.1-B.7; C.1-C.5; D.1-D.4
written examination V A.1-A.8; B.1-B.7; C.1-C.5; D.1-D.4
The exact dates of assessments held during the semester and the deadlines for submitting homeworks are included in the "Detailed Semester Schedule", which is available on the subject's website.
The dates of deadlines of assignments/homework can be found in the detailed course schedule on the subject’s website.
3.3 Evaluation system
Abbreviation Score
MT1 20%
MT2 20%
HW1 3%
HW2 3%
HW3 3%
Exam 60%
Sum 100% (109% achievable with bonus points)
3.4 Requirements and validity of signature
In order to obtain a signature, the student must have passed the midterm tests according to point 3.3 and have achieved at least 50% (20.0 points) of the total number of points in the semester.

20 points can be reached in each midterm test, to pass the tests (and obtain the signature) minimum 50% should be reached separately on each test (min 10 points from each test). Two midterm tests can be repeated during the retake period.

Homework assignments worth 3 (bonus) points each, for a total of 9 (bonus) points, the homework are not compulsory. No points will be awarded for homeworks submitted after the deadline.

Any student who takes a regular (non-examination) course with a signature received in a previous semester will have his/her previous result overwritten by his/her result for the current semester. Mid-semester results obtained previously in the subject and taken into account for the determination of the examination grade may be accepted retroactively back to 6 semesters.
3.5 Grading system
Grade Points (P)
excellent (5) 85%<=P
good (4) 75<=P<85%
satisfactory (3) 60<=P<75%
passed (2) 50<=P<60%
failed (1) P<50%

Final grade is determined on the basis of the sum of the points obtained during the semester and the exam. For successfully pass the subject beside the signature min. 40% (24 points) should be obtained during the exam.

3.6 Retake and repeat

One midterm test can be repeated during the retake period.

3.7 Estimated workload
ActivityHours/semester
contact hours14×3=42
preparation for the courses14×1=14
preparation for the tests2×9=18
preparing the homework3×10=30
preparation for the examination30
Sum150
3.8 Effective date
5 February 2020
This Subject Datasheet is valid for:
2026/2027 semester I