Subject Datasheet
Download PDFI. Subject Specification
1. Basic Data
1.1 Title
Strength of Materials
1.2 Code
BMEEOTMAS41
1.3 Type
Module with associated contact hours
1.4 Contact hours
| Type | Hours/week / (days) |
| Lecture | 2 |
1.5 Evaluation
Exam
1.6 Credits
3
1.7 Coordinator
| name | Bojtárné Dr. Bagi Katalin |
| academic rank | Professor |
| bagi.katalin@emk.bme.hu |
1.8 Department
Department of Structural Mechanics
1.9 Website
1.10 Language of instruction
hungarian and english
1.11 Curriculum requirements
Compulsory in the Civil Engineering (BSc) programme
1.12 Prerequisites
Weak prerequisites:
- Structural Analysis I. (BMEEOTMAT43)
- Structural Analysis I. (BMEEOTMAT43)
- Matematics A2a (BMETE90AX02)
1.13 Effective date
5 February 2020
2. Objectives and learning outcomes
2.1 Objectives
The subject first introduces the two most important energy theorems of strength of materials, the theorem of potential energy and the theorem of complementary potential energy. Using these theorems the equilibrium and compatibility states of elastic beams can be determined. Second, based on the concept of potential energy, the main methods of stability analysis (energy method; static method) and the fundamentals of buckling analysis of compressed columns are introduced.
2.2 Learning outcomes
Upon successful completion of this subject, the student:
A. Knowledge
- knows the stationarity theorem of potential energy and the conditions of application
- knows the minimum theorem of complementary potential energy and the conditions of application
- knows the differential equation of the elastic curve
- knows the energy method of stability analysis and the conditions of application
- knows the static method of stability analysis and the conditions of application
- knows the concept of slenderness limit
- knows the method to determine the critical buckling stress for slender columns
- knows the method to determine the critical buckling stress for short columns
B. Skills
- formulates the potential energy of elastic beams based on the characteristic displacement functions,
- formulates the complementary potential energy of elastic beams based on the characteristic internal force functions,
- determines the deformed shape of bar structures with broken axis line approximately,
- is able to perform stability analysis on structural models consisting of rigid bodies and springs, and to determine the critical load,
- determines the critical buckling stress in slender and short bars under centric compression,
- is able to express his/her thoughts in an organized way in oral and written communication,
- is able to solve numerical problems reliably and accurately,
C. Attitudes
- aims at learning and routinely using tools required for solving strength of materials problems,
- aims at accurate and flawless problem solving
D. Autonomy and Responsibility
- is able to individually think over strength of materials problems and to solve them using the given resources,
- is open to valid criticism.
2.3 Methods
Lectures, numerical practices for large groups, oral and written communication, use of IT devices and techniques, optional practice problems solved individually and in teams (home practice), work management techniques.
2.4 Course outline
| Week | Topics of lectures |
| 1. | Work theorems (repetition) |
| 2. | Stationarity theorem of potential energy |
| 3. | Minimum theorem of complementary potential energy |
| 4. | Application of energy theorems, problem solving |
| 5. | Partial summary |
| 6. | Differential equation of the elastic curve |
| 7. | Application of energy theorems for static loads |
| 8. | Application of energy theorems for kinematic loads |
| 9. | Partial summary |
| 10. | Fundamental concepts of stability analysis |
| 11. | Basic problems of stability analysis |
| 12. | Fundamentals of buckling analysis of compressed bars |
| 13. | Buckling analysis of compressed bars, problem solving |
| 14. | Summary |
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
Books:
- Kaliszky S. – Kurutzné Kovács M. – Szilágyi Gy.: Szilárdságtan, 2000;
- Hibbeler: Mechanics of Materials. Pearson, 2011;
- Gere – Goodno: Mechanics of Materials. Cengage Learning, 2015,
- Beer – Johnston: Mechanics of materials. McGraw-Hill, 2009
2.6 Other information
- Attendance at lectures is compulsory.
- Students failing to prove to have attended at least 70% of the lectures based on their records of absences cannot obtain registry other than "Megtagadva" or "Nem teljesítette".
- 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. Special appointments can be requested via e-mail: bagi.katalin@epito.bme.hu.
This Subject Datasheet is valid for:
2023/2024 semester I
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 ten individual assignments, on three mid-term written checks, and an oral exam in the examination period.
- The duration of each mid-term test is 45 minutes.
- The best two out of three mid-term checks are to be considered with equal weights.
- There are a 24 hours time span for the submission of each individual assignment, with an estimated workload of 60 min.
- There is no consultation on the topic of the individual assignments between the issue and the due date.
- The individual assignments aid to reach the learning outcomes through the preparation for the mid-term checks, and it affects the score through that.
- The dates of the checks can be found in the "Detailed semester schedule" on the website of the subject.
3.2 Assessment methods
| Evaluation form | Abbreviation | Assessed learning outcomes |
| 1st-10th individual assignment (formative assessment) | IA1-IA10 | A.1-A.8; B.1-B.7; C.1-C.2; D.1-D.2 |
| 1st mid-term test (summarizing check) | ZH1 | A.1-A.3; B.1-B.2, B.6-B.7; C.1-C.2 |
| 2nd mid-term test (summarizing check) | ZH2 | A.3-A.5; B.2-B.3, B.6-B.7; C.1-C.2 |
| 3rd mid-term test (summarizing check) | ZH3 | A.6-A.8; B.4-B.7; C.1-C.2 |
| Oral exam (summarizing check) | V | A.1-A.8; B.1-B.7; C.1-C.2; 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
| Abbreviation | Score |
| IA1-IA10 | - |
| ZH1 | 25% |
| ZH2 | 25% |
| ZH3 | 25% |
| V | 50% |
| Sum | 100% |
3.4 Requirements and validity of signature
- Signature and eligibility for the exam is granted if the average of the best two mid-term test results is not less than 50%.
- A signature obtained previously will remain valid at a re-registering for the subject, but the new results are to be considered nevertheless.
3.5 Grading system
- In the case of complying with the requirements on attendance the results are determined as follows.
- No requirements are made on the successfulness of the tests.
- The semester performance is determined by the results of the best two mid-term tests.
- Exam below 50% is regarded unsuccessful, the exam mark is "Failed" (regardless of the score attained in the semester).
- In the case of a successful exam the final result is computed by the weighted average A of the best two mid-term tests and the exam as in section 3.3.:
| Grade | Points (A) |
| excellent (5) | 80%≤A |
| good (4) | 70%≤A<80% |
| satisfactory (3) | 60%≤A<70% |
| passed (2) | 50%≤A<60% |
| failed (1) | A<50% |
3.6 Retake and repeat
- There is no delayed submission of the individual assignments.
- The mid-term tests cannot be retaken in this subject.
3.7 Estimated workload
| Activity | Hours/semester |
| contact lessons | 14×2=28 |
| preparation for lessons during the semester | 10×2=20 |
| preparation of the individual assignments | 10×1=10 |
| preparation for the checks | 3×4=12 |
| preparation for the exam | 20 |
| Sum | 90 |
3.8 Effective date
7 September 2020
This Subject Datasheet is valid for:
2023/2024 semester I