| Subject name (in Hungarian, in English) | Strength of materials | |||
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Strength of materials
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| Neptun code | BMEGEMMBXN2 | |||
| Type | study unit with contact hours | |||
| Course types and number of hours (weekly / semester) | course type: | lecture (theory) | exercise | laboratory excercise |
| number of hours (weekly): | 2 | 2 | 0 | |
| nature (connected / stand-alone): | - | coupled | - | |
| Type of assessments (quality evaluation) | exam | |||
| ECTS | 4 | |||
| Subject coordinator | name: | Dr. Kossa Attila | ||
| post: | associate professor | |||
| contact: | kossa@mm.bme.hu | |||
| Host organization | Department of Applied Mechanics | |||
| https://www.mm.bme.hu/ | ||||
| Course homepage | http://www.mm.bme.hu/targyak/?BMEGEMMBXN2 | |||
| Course language | hungarian, english, german | |||
| Primary curriculum type | mandatory | |||
| Direct prerequisites | Strong prerequisite | BMETE94BG01, BMEGEMMBXM1 | ||
| Weak prerequisite | ||||
| Parallel prerequisite | ||||
| Milestone prerequisite | at least obtained 0 ECTS | |||
| Excluding condition | BMEGEMMBXM2, BMEGEMMAGM2 | |||
Aim
The aim of the course is for students to learn about the main objectives and calculation methods of mechanics of materials. The subject plans a detailed description of the following main areas: mechanical description of uniaxial tension and compression experiments, introduction of tension and deformation, introduction of simple Hooke’s law; Prismatic beam pure straight bending, mixed bending, normal force and bending; Examination of a sheared cross-section; Twisting of a rod with a circular and annular cross-section; Tension/compression and bending of beams; Description of stress state with the stress tensor; Description of strain state with the strain tensor; Stress vector, principal stresses, principal directions; Application of stress Mohr circles; Description of deformation state with the deformation tensor; Principal strains; Introducing Hooke’s Law in 3D; Deformation energy calculation; Equivalent stress theories; Castigliano theorem; Differential equation of the deflection of beams; Buckling; Stress state of thin-walled vessels.
Learning outcomes
Competences that can be acquired by completing the course
Knowledge
You know the concepts of modulus of elasticity, sliding modulus of elasticity, volume modulus of elasticity, and Poisson's factor and their physical meaning. You know the description of the deformation and stress state of stretched/compressed rods and the simple Hooke's law. You know the stress state of bars and beams, straight and oblique bending. It describes the stress state of the sheared cross-section, the stress state caused by torsional stress in the case of circular and annular cross-sections. You are aware of the stress and strain tensors and the state of stress in the 3D case as well. You are aware of the meaning of the stress vector and the definition of principal directions and principal stresses. Understands how to edit and use Mohr's circles. Understands the concept of strain energy and the application of Castigliano's theorem. Understands equivalent stress theories (HMH and Mohr's). Understands the theoretical foundations and practical application of the differential equation of an elastic fiber. Systematizes phenomena related to buckling. Describes the stress state of thin-walled containers.
Ability
It is able to evaluate the results obtained during the uniaxial tensile test and calculate the elastic modulus and Poisson's factor of the given material. Able to describe and calculate the full state of stress and deformation of beams in tension/compression, bending, twisting and shearing. Capable of determining the state of stress and deformation of plane curved beams. Use the stress and strain state matrices in your calculations. Use the relations derived to determine the principal directions and to determine the equivalent stresses. Use Mohr's editing procedure to determine the principal stresses. It describes the strain energy given the stress and strain tensors. Using the stress functions, it describes the deformation energy in the case of beams. Using the Castiglino theorem, it solves the calculation of reactions in the case of statically indeterminate supports. Determines the deformed shape of beams using the elastic fiber differential equation. It solves the dimensioning and checking tasks of buckling tasks. Calculates the state of stress and deformation of thin-walled containers.
Attitude
Giving the maximum of his abilities, he strives to complete his studies at the highest possible level, acquiring in-depth and independent knowledge. He cooperates with the instructor and fellow students in expanding his knowledge, and strives to work independently. He also expands his knowledge through continuous independent knowledge acquisition, supplementing the parts of the material presented in the course. It is also open to the use of information technology and computing tools (word processing computer software, mathematical software, image editing software, etc.). It is open to getting to know and routinely using the tool system required to solve tasks. He strives for accurate, error-free and precise task solutions.
Independence and responsibility
He feels responsible for setting an example to his colleagues with the quality of his work and the observance of ethical standards. You feel responsible for properly applying the knowledge acquired during the subject, given its validity limitations. Openly accepts well-founded critical comments. He accepts the framework of cooperation, depending on the situation, he is able to perform his work independently or as part of a team. Checks the reliability of test results obtained with the help of information technology tools.
Teaching methodology
The subject consists of two hours of theoretical and two hours of practical courses per week. The examples presented in the exercises help to understand the theoretical material presented in the lecture. During the presentation, the most important parts of the material are explained on the blackboard in order for the joint work to facilitate the students' understanding of the course material. The animations and examples shown in the theoretical courses further help the learning of the course material. Students can download the materials used in lectures and exercises. We provide regular consultations during the semester.
Support materials
Textbook
Muttnyánszky Ádám: Szilárdságtan. Műszaki Könyvkiadó, Budapest, 1981. 2021. ISBN 9631035913.
Szerk.: M. Csizmadia B., Nándori E.: Mechanika mérnököknek. Szilárdságtan. Nemzeti Tankönyvkiadó, Budapest, 1999. ISBN: 9631903400.
Lecture notes
Béda Gyula: Szilárdságtan, Műegyetemi Kiadó, 45024. 2000. 2021.
Elter Pálné: Szilárdságtan példatár, Műegyetemi Kiadó, 45062. 1999. 2021.
Online material
Validity of the course description
| Start of validity: | 2023. February 1. |
| End of validity: | 2027. July 15. |
General rules
The learning outcomes are evaluated based on three mid-year written performance evaluations (two partial and one summative academic performance evaluation). The summative academic performance evaluation: a complex, written evaluation method of the subject and knowledge and ability-type competence elements in the form of a closed paper, the paper focuses on the application of the acquired knowledge, so it focuses on problem recognition and solution, i.e. practical (calculation) tasks must be solved, on the other hand, it asks for the necessary lexical knowledge during the performance evaluation. In addition, the closed thesis can also contain theoretical questions. Partial performance evaluation (homework): a complex evaluation method of the subject's knowledge, ability, attitude, independence and responsibility-type competency elements, which takes the form of individually prepared homework.
Assessment methods
Detailed description of mid-term assessments
| Mid-term assessment No. 1 | ||
| Type: | summative assessment | |
| Number: | 1 | |
| Purpose, description: | The summative assessment jointly examines and measures the learning outcomes of the students determined by knowledge and ability-type competencies. Accordingly, the summative evaluation measures the mastery of the designated theoretical knowledge material, as well as the existence of knowledge acquired in practice and the application of skills. The summative assessment focuses on theoretical knowledge and application skills. They will be completed at the time specified in the study performance evaluation plan. | |
| Mid-term assessment No. 2 | ||
| Type: | formative assessment, simple | |
| Number: | 2 | |
| Purpose, description: | The basic purpose of the partial performance evaluation is to examine the attitude and the existence of learning outcomes belonging to the competence group of autonomy and responsibility. The way to do this is to prepare two pieces of individually prepared homework documentation. The topic of the assignments is based on the parts of the material presented before the publication. The content and formal requirements and evaluation principles of the completed homework are clearly contained in the assignment description and the subject's website. | |
Detailed description of assessments performed during the examination period
Elements of the exam:
| Written partial exam | ||
| Obligation: | mandatory (partial) exam unit, failing the unit results in fail (1) exam result | |
| Description: | A complex, written evaluation method for the knowledge and ability-type competence elements of the subject in the form of a written closed paper; the thesis basically focuses on the interpretation of the individual concepts and the recognition of the connections between them, as well as the application of the acquired knowledge. The thesis contains both theoretical questions and practical tasks. The tasks typically involve solving several smaller tasks that belong to different parts of the material. | |
| Oral partial exam | ||
| Obligation: | (partial) exam unit chosen by the student, the exam result assessed by other partial exam unit can be changed unrestrictedly | |
| Description: | During the oral exam, students are given the opportunity to improve their grade on the basis of their written exam. During the oral exam, the students draw two theoretical questions, which they are given 20 minutes to work on, after which they must present their answers orally. If you answer both questions satisfactorily, you will improve your written grade by one mark. If you only know the answer to one question satisfactorily, the grade will not be changed. If you do not know the satisfactory answer to any of the questions, your written grade will be reduced by 1 mark. It is important that only those who have at least a sufficient ticket based on the written one can take advantage of the oral option. | |
The weight of mid-term assessments in signing or in final grading
| ID | Proportion |
|---|---|
| Mid-term assessment No. 1 | 50 % |
| Mid-term assessment No. 2 | 50 % |
The condition for signing is that the score obtained in the mid-year assessments is at least 40%.
The weight of partial exams in grade
| Type: | Proportion |
|---|---|
| Written partial exam | 100 % |
| Oral partial exam | 100 % |
Determination of the grade
| Grade | ECTS | The grade expressed in percents |
|---|---|---|
| very good (5) | Excellent [A] | above 90 % |
| very good (5) | Very Good [B] | 85 % - 90 % |
| good (4) | Good [C] | 70 % - 85 % |
| satisfactory (3) | Satisfactory [D] | 55 % - 70 % |
| sufficient (2) | Pass [E] | 40 % - 55 % |
| insufficient (1) | Fail [F] | below 40 % |
The lower limit specified for each grade already belongs to that grade.
Attendance and participation requirements
Must be present at at least 70% (rounded down) of lectures.
At least 70% the exercises (rounded down) must be actively attended.
Special rules for improving, retaken and replacement
The special rules for improving, retaken and replacement shall be interpreted and applied in conjunction with the general rules of the CoS (TVSZ).
| Need mid-term assessment to invidually complete? | ||
| yes | ||
| Can the submitted and accepted partial performance assessments be resubmitted until the end of the replacement period in order to achieve better results? | ||
| NO | ||
| The way of retaking or improving a summary assessment for the first time: | ||
| each summative assessment can be retaken or improved | ||
| Is the retaking-improving of a summary assessment allowed, and if so, than which form: | ||
| retake or grade-improving exam not possible | ||
| Taking into account the previous result in case of improvement, retaken-improvement: | ||
| new result overrides previous result | ||
| The way of retaking or improving a partial assessment for the first time: | ||
| partial assesment(s) in this group cannot be improved or repeated, the final result is assessed in accordance with Code of Studied 122. § (6) | ||
Study work required to complete the course
| Activity | hours / semester |
|---|---|
| participation in contact classes | 56 |
| mid-term preparation for practices | 14 |
| preparation for summary assessments | 16 |
| elaboration of a partial assessment task | 8 |
| exam preparation | 28 |
| altogether | 122 |
Validity of subject requirements
| Start of validity: | 2023. February 1. |
| End of validity: | 2027. July 15. |
Primary course
The primary (main) course of the subject in which it is advertised and to which the competencies are related:
Mechanical engineering
Link to the purpose and (special) compensations of the Regulation KKK
This course aims to improve the following competencies defined in the Regulation KKK:
Knowledge
- Student is familiar with the general and specific mathematical, scientific and social principles, rules, contexts and procedures needed to operate in the field of engineering.
Ability
- Student has the ability to apply the general and specific mathematical, scientific and social principles, rules, relationships and procedures acquired in solving problems in the field of engineering.
Attitude
- Student seeks to contribute to the development of new methods and tools in the field of engineering. A deepened sense of vocation.
Independence and responsibility
- Student has the ability to work independently on engineering tasks.
Prerequisites for completing the course
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Knowledge type competencies
(a set of prior knowledge, the existence of which is not obligatory, but greatly facilitates the successful completion of the subject) |
none |
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Ability type competencies
(a set of prior abilities and skills, the existence of which is not obligatory, but greatly contributes to the successful completion of the subject) |
none |