Subject Datasheet
Completion requirements
Subject Datasheet
Download PDFI. Subject Specification
1. Basic Data
1.1 Title
Strength of Materials
1.2 Code
BMEEOTMBSFC003-00
1.3 Type
Module with associated contact hours
1.4 Contact hours
| Type | Hours/week / (days) |
| Lecture | 1 |
| Seminar | 3 |
1.5 Evaluation
Exam
1.6 Credits
5
1.7 Coordinator
| name | Sárosiné Dr. Lakatos Ilona Éva |
| academic rank | Associate professor |
| lakatos.eva@emk.bme.hu |
1.8 Department
Department of Structural Mechanics
1.9 Website
1.10 Language of instruction
english
1.11 Curriculum requirements
Compulsory in the Civil Engineering (BSc) programme
1.12 Prerequisites
Erős követelmény: Statika szintemelő ; Gyenge követelmény: Statika
1.13 Effective date
1 September 2025
2. Objectives and learning outcomes
2.1 Objectives
The aim of the subject is to introduce the fundamental concepts of strength of materials, the concepts of loads, stresses, strains, and displacements, as well as the relationships between them using which the basic problems, sizing, and checks can be carried out. Particular emphasis is made on the calculation of stresses and strains due to simple and complex internal forces of bars and beams. The presented methods enable the solution of certain statically indeterminate problems. By completing the subject, this knowledge will enable the student to accomplish tasks related to civil engineering problems.
2.2 Learning outcomes
Upon successful completion of this subject, the student:
A. Knowledge
1. knows the concepts of loads, stresses, strains, and displacements,
2. knows the concept of a bar and a bar element,
3. knows the geometric quantities characterizing the cross-section of a beam, and the calculation methods,
4. knows the linearly elastic and the linearly elastic and perfectly plastic material models,
5. knows the internal forces arising in cross-sections of a beam, the resulting stresses, and the formulas for the calculation,
6. knows the deformations of cross-sections of a beam, the relationships to the internal forces and the strains in individual points,
7. knows the displacements of cross-sections of bars loaded by certain internal forces,
8. knows how temperature affects the strains,
B. Skills
1. calculates the stresses and strains in bars under tension-compression, solves the sizing and checking problems,
2. calculates the stresses and strains arising from pure shearing, solves the sizing and checking problems,
3. calculates the stresses and strains arising from torsion for simple cross-sections, solves the basic sizing and checking problems,
4. calculates the stresses and strains arising from uniaxial bending, solves the sizing and checking problems,
5. recognizes the biaxial bending and calculates the associated stresses and strains, solves the sizing and checking problems,
6. calculates the stresses arising from shearing coupled with simultaneous bending,
7. calculates the stresses in cross-sections subjected to eccentric tension-compression in the cases of linearly elastic material and no-tension material,
8. calculates the displacements of bars under tension-compression, torsion and bending,
9. calculates the reactions of statically indeterminate structures based on displacement calculations, if the degree of statical indeterminacy is one,
C. Attitudes
1. aims at accurate and flawless problem solving,
2. elaborates the solution such that it is clear to understand or possibly to continue,
3. aims to be precise in wording,
D. Autonomy and Responsibility
1. open to critical comments,
2. is prepared to recognize and correct errors,
2.3 Methods
Lectures and calculation practices based on the electronically distributed workbook, solving home works and practice problems in individual or team work.
2.4 Course outline
1. Internal force diagrams (repetition). Introduction: the subject matter of strength of materials, fundamental concepts, the linearly elastic material model.
2. The concept of a beam and beam element, its internal forces and deformations. Geometric properties of cross-sections: the concepts of centroid and moments of inertia. The fundamentals of calculation of inertia, examples.
3. The concept of centric tension-compression, basic equations, introductory numerical examples, calculation of deformations: homogeneous and inhomogeneous beams, the effect of temperature change.
4. Centric tension-compression, numeric examples. Statically indeterminate structures.
5. The concept of pure shearing, screws, rivets, basic examples. Checking of simple connections for centric tension-compression and pure shearing.
6. Torsion of cross-sections with rotational symmetry, the concept of polar moment of inertia, calculation of deformations. Calculation of stresses arising from torsion, examples.
7. Basic equations of bending. Calculation of normal stresses and deformations. Uniaxial bending of inhomogeneous cross-sections, calculation of normal stresses and deformations.
8. Calculation of displacements, statically indeterminate structures. Simple displacement calculations for cantilevers and simply supported beams.
9. Biaxial bending. Eccentric tension-compression: fundamental relationships for the calculation of stresses, the concept of neutral axis.
10. Eccentric tension-compression, numeric examples. The concept of Cullmann's kernel.
11. Cross-section with no-tension material, calculation of stresses in structures (column, wall).
12. The reciprocity of shear stresses. Bending and shearing: Zhuravskii's theory, introductory examples
13. Calculation of stresses in beams with solid cross-sections under simultaneous bending and shearing. Bending, tension, shearing, torsion, numerical examples. Complex internal forces.
14. Summary and repetition.
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
- Kaliszky S., Kurutzné Kovács M., Szilágyi Gy.: Szilárdságtan, 2000;
- Beer, Johnston: Mechanics of materials;
- Budynas: Advanced Strength and Applied Stress Analysis;
- Popov: Mechanics of materials;
- Gere – Goodno: Mechanics of Materials. Cengage Learning, 2015
2.6 Other information
- Students attending checks must not communicate with others during the check without explicit permission, and must not hold any electronic or other communication device switched on.
- Students who have obtained a valid signature and have registered for a course other than examination course cannot lose their signature and eligibility for exam, but the final results are to be computed based on the new test results.
2.7 Consultation
- The instructors are available for consultation during their office hours, as advertised on the department website OR
- by prior arrangement.
This Subject Datasheet is valid for:
2025/2026 semester II
II. Subject requirements
Assessment and evaluation of the learning outcomes
3.1 General rules
- Evaluation of learning outcomes described in Section 2.2. is based on two mid-term tests, and an exam in the examination period.
- There are 90 minutes for the preparation and the submission of each mid-term test.
- The duration of the preparation part of the exam is 105 minutes.
- A mid-term test is valid (counted in the final grading) if its score reaches 50%.
3.2 Assessment methods
| Teljesítményértékelés neve (típus) | Jele | Értékelt tanulási eredmények |
|---|---|---|
| 1st mid-term test (summarizing assessment) | MT1 | A.1-A.8; B.1-B.2, B.9; C.1-C.3 |
| 2nd mid-term test (summarizing assessment) | MT2 | A.1-A.8; B.3-B.4, B.8-B.9; C.1-C.3 |
| Written exam (summarizing check) | E | A.1-A.8; B.1-B.9; C.1-C.3; D.1-D.2 |
The dates of deadlines of assignments/homework can be found in the detailed course schedule on the subject’s website.
3.3 Evaluation system
| Jele | Részarány |
|---|---|
| MT1 | 25% |
| MT2 | 25% |
| E | 50% |
| Sum | 100% |
3.4 Requirements and validity of signature
A student is to obtain a signature and has eligibility for the exam
-if both mid-term tests are valid and
-the average of the three valid mid-term tests reaches or exceeds 50%.
-if both mid-term tests are valid and
-the average of the three valid mid-term tests reaches or exceeds 50%.
3.5 Grading system
| Érdemjegy | Pontszám (P) |
|---|---|
| jeles(5) | 85≤P |
| jó(4) | 75≤P<85% |
| közepes(3) | 65≤P<75% |
| elégséges(2) | 50≤P<65% |
| elégtelen(1) | P<50% |
3.6 Retake and repeat
- Each of the mid-semester tests can be retaken only once at dates announced at the beginning of the semester.
- In the case of each test, the better one of the results of the ordinary test and its retake is considered.
- At the end of the semester, a second retake is available to the students if only one of the tests has no successful result at that time (i.e. two tests are successful after the first retakes).
- The second retake covers the whole semester, the result of the second retake replaces that of the remaining unsuccessful test.
3.7 Estimated workload
| Tevékenység | Óra/félév |
|---|---|
| contact lessons | 28×2=56 |
| preparation for lessons during the semester + home works | 28×1=28 |
| preparation for the checks | 4×9=36 |
| study of the assigned written sources | 30 |
3.8 Effective date
1 September 2025
This Subject Datasheet is valid for:
2025/2026 semester II