| Subject name (in Hungarian, in English) | Strength of Materials | |||
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Strength of materials
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| Neptun code | BMEGEMMBXM2 | |||
| 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 | 1 | 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 | |||
| http://www.mm.bme.hu | ||||
| Course homepage | http://www.mm.bme.hu/targyak/?BMEGEMMBXM2 | |||
| Course language | hungarian, english, german | |||
| Primary curriculum type | mandatory | |||
| Direct prerequisites | Strong prerequisite | BMETE93BG01, BMEGEMMBXM1 | ||
| Weak prerequisite | ||||
| Parallel prerequisite | ||||
| Milestone prerequisite | at least obtained 0 ECTS | |||
| Excluding condition | 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
Knows the concepts of modulus of elasticity, modulus of sliding modulus of elasticity, modulus of elasticity of volume and the Po-isson factor and their physical meaning; Knows the description of the deformation and stress state of drawn / pressed bars and the simple Hooke's law; Knows the stress state of bars and beams, straight and oblique bending. 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; It is aware of stress and strain tensors and stress state even in 3D case; He is aware of the meaning of the stress vector and the definition of principal directions and stresses; He is aware of editing and using Mohr circles; Understands the concept of deformation energy and the application of the Castigliano theorem; Understands equivalent stress theories (HMH and Mohr's); Understands the theoretical foundations and practical application of the elastic fiber differential equation; It systematizes the phenomena associated with buckling; Describes the voltage state of thin-walled tanks.
Ability
Able to evaluate the results obtained during a uniaxial tensile test and to calculate the modulus of elasticity and Poisson's ratio of a given material; Able to describe and calculate the total stress and strain state of drawn / pressed, bent, twisted and sheared supports; Capable of determining the stress-strain state of a plane curve beam; Use stress and strain state matrices in your calculations; Use the relationships derived to determine the principal directions and to determine the equivalent voltages; Use the Mohr editing procedure to determine the main voltages; Describes deformation energy in the knowledge of stress and deformation tensors; Using the stress functions, it describes the deformation energy for beams; Using the Castiglino theorem, it solves the calculation of reactions for statically indeterminate beams; Determines the deformed shape of beams using the elastic fiber differential equation; Solves sizing and control tasks for buckling tasks; Calculates the stress and strain state of thin-walled tanks.
Attitude
To the maximum of his abilities, he strives to carry out his studies at the highest possible standard, acquiring in-depth and independent knowledge; Collaborates with the instructor and fellow students in expanding knowledge, strives for independent work; It also expands its knowledge by continuously acquiring knowledge, supplementing the parts of the material described in the lessons; It is also open to the use of information technology and computer tools (word processing computer software, mathematical software, image editing software, etc.); Open to learning about and routinely using the tools needed to solve tasks; Strives for accurate, error-free and precise task solving;
Independence and responsibility
He feels a responsibility to set an example to his peers by the quality of his work and adherence to ethical standards; He feels a responsibility to apply the knowledge acquired during the course properly, given the limits of its validity; Openly accepts well-founded critical remarks; He accepts the framework of cooperation, he is able to do his work independently or as part of a team, depending on the situation. Checks the reliability of test results obtained using information technology tools.
Teaching methodology
The course consists of two hours of theoretical and one hour of practical course per week. The understanding of the theoretical materials presented in the lecture is aided by the examples presented in the exercises. During the lecture, the most important parts of the material are conducted on a board in order for the joint work to help the students understand the curriculum. The animations and examples projected on the theoretical courses further help to master the curriculum. The materials used in the lectures and exercises can be downloaded by the students. We provide regular consultations during the semester.
Support materials
Textbook
Ádám Muttnyánszky: Theory of Strength. Technical Technical Publishing House, Budapest, 1981. 2021. ISBN 9631035913.
Edited by M. Csizmadia B., Nándori E .: Mechanics for engineers. Strength theory. National Textbook Tax, Budapest, 1999. ISBN: 9631903400.
Lecture notes
Gyula Béda: Strength, Technical University Publishing House, 45024. 2000. 2021.
Mrs. Elter Pál: Strength of Science Exemplary Library, University of Technology Publishing House, 45062. 1999. 2021.
Online material
Validity of the course description
| Start of validity: | 2021. July 1. |
| End of validity: | 2026. June 30. |
General rules
Learning outcomes are assessed on the basis of three mid-year written performance measurements (two partial and one summative learning performance assessment). Summarizing academic performance evaluation: a complex, written way of evaluating the competence-type competence elements of the subject and knowledge in the form of an indoor dissertation, the dissertation focuses on the application of the acquired knowledge, so it focuses on problem recognition and solution, on the other hand, it asks for the necessary lexical knowledge in the performance evaluation. In addition, the dissertation may contain theoretical questions. Partial performance assessment (homework): a complex way of evaluating the knowledge, ability, attitude, as well as independence and responsibility type competence elements of the subject, the form of which is the individual homework.
Assessment methods
Detailed description of mid-term assessments
| Mid-term assessment No. 1 | ||
| Type: | summative assessment | |
| Number: | 1 | |
| Purpose, description: | Summative assessment collectively examines and measures students ’learning outcomes determined by knowledge and ability type competencies. Accordingly, the summative assessment measures the acquisition of the designated theoretical knowledge, as well as the existence of knowledge and the application of skills acquired in practice. Summative assessment focuses on theoretical knowledge and application skills. They will be completed on the date specified in the academic performance evaluation plan. | |
| Mid-term assessment No. 2 | ||
| Type: | formative assessment, simple | |
| Number: | 2 | |
| Purpose, description: | The basic aim of the partial performance assessment is to examine the existence of attitudes and learning outcomes belonging to the autonomy and responsibility competence group. The way to do this is to create two individual homework documents. The topic of the tasks is based on the parts of the material told before the publication. The content and form requirements and evaluation principles of the completed homework are clearly included in the assignment and the website of the subject. | |
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 way of evaluating the knowledge and ability type competence elements of the subject in the form of a written in-house dissertation; the dissertation basically focuses on the interpretation of each concept and the recognition of the connections between them, as well as the application of the acquired knowledge. The dissertation includes both theoretical questions and practical tasks. 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 restrictedly | |
| Description: | During the oral exam, students will have the opportunity to improve on their grade obtained based on their written exam. During the oral exam, students draw two theoretical questions, which they are given 20 minutes to work on, and then have to present their answers orally. If you answer both questions satisfactorily, you will correct your grade on the basis of your written mark with a mark. If you know the answer to only one of the questions satisfactorily, no grade change will take place. If you do not know the satisfactory answer to any of the questions, your written grade will be reduced by 1 ticket. It is important that only those who have at least a sufficient ticket offered on a written basis can use their oral opportunity. | |
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 | 42 |
| mid-term preparation for practices | 7 |
| preparation for summary assessments | 16 |
| elaboration of a partial assessment task | 8 |
| exam preparation | 28 |
| additional time required to complete the subject | 19 |
| altogether | 120 |
Validity of subject requirements
| Start of validity: | 2021. July 1. |
| End of validity: | 2026. June 30. |
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
|
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 |