**Course title, code:** Technical Mechanics II, GAGEBAN-MECHANI2-1

**Name and type of the study programme:**

**Curriculum:**2021

**Number of classes per week (lectures+seminars+labs):**2+2+0

**Credits:**4

**Theory:**50 %

**Practice:**50 %

**Recommended semester:**2

**Study mode:**full-time

**Prerequisites:**

**Evaluation type:**exam

**Course category:**

**Language:**english

**Responsible instructor:**Dr. Katula Levente Tamás

**Instructor(s):**Dr. Katula Levente Tamás

**Course objectives:**

To acquire the basic engineering concepts, skills and competences in the field of checking, dimensioning and load capacity calculation of supporting structures, determination of deformation of supporting structures and determination of stresses of statically indeterminate supports. The aim of the teaching is to introduce the theoretical concepts, to illustrate them by examples close to the practice of mechanical engineering, to develop appropriate practice in solving problems.

**Course content - lectures:**

Checking, sizing, principle of load calculation. Drawing. Straight bending. Checking, dimensioning, load calculation in straight bending. Oblique bending. Checking for unidirectional composite loads. Eccentric compression of solid bars. Twisting of circular and annular cross section bars. Clean shearing. Check for multidirectional composite stresses. Dimensioning in bending and twisting. Drive shaft sizing. Testing of long compressed rods. Stress calculation, check for plane curved rods. Shear coupled with bending. Planar stress state. Mohr stress diagram. Principal stresses. Stresses in arbitrary plane. Spatial stress state. Application of the matrix method. Shape change state. Principal stresses. Shape change diagram. General Hooke's law. Calculation of shape change characteristics. Work of transformation, internal energy. Betti's theorem. Application of Betti's theorem. Calculation of support force and load diagram for structures with uniform statically indeterminate support. Check for plastic load capacity. Principle of virtual work. Plastic hinge.

**Course content - seminars:**

Checking, sizing, principle of load calculation. Pulling. Straight bending. Checking, dimensioning, calculation of load capacity in straight bending. Oblique bending. Checking for unidirectional composite loads. Eccentric compression of solid bars. Twisting of circular and annular cross section bars. Clean shearing. Check for multidirectional composite stresses. Dimensioning in bending and twisting. Drive shaft sizing. Testing of long compressed rods. Stress calculation, check for plane curved rods. Shear coupled with bending. Planar stress state. Mohr stress diagram. Principal stresses. Stresses in arbitrary plane. Spatial stress state. Application of the matrix method. Shape change state. Principal stresses. Shape change diagram. General Hooke's law. Calculation of shape change characteristics. Work of transformation, internal energy. Betti's theorem. Application of Betti's theorem. Calculation of support force and load diagram for structures with uniform statically indeterminate support. Check for plastic load capacity. Principle of virtual work. Plastic hinge.

**Acquired competences:**

__Knowledge:__

- Have a comprehensive knowledge of the basic facts, directions and limits of the subject area of engineering.
- Knowledge of the general and specific mechanical principles, rules, contexts and procedures necessary for the operation of the field of engineering.
- Knowledge of the terminology, the most important relationships and theories related to the field.
- Comprehensive knowledge of the main theories and problem-solving methods in the field.
b) skills:

__Skills:__

Comprehensive knowledge of the basic facts, directions and limits of the subject area of engineering. Knowledge of the general and specific mathematical, natural and social science principles, rules, contexts and procedures relevant to the field of engineering.Knowledge of the terminology, the main contexts and theories relevant to the field of engineering.Comprehensive knowledge of the methods of knowledge acquisition and problem solving in the main theories of the field of engineering. Ability to analyse at a basic level the disciplines that make up the knowledge base of the technical discipline, to formulate relationships synthetically and to carry out appropriate evaluative activities.Ability to identify routine technical problems, to identify, formulate and solve (by practical application of standard operations) the theoretical and practical background necessary for their solution.Ability to construct basic models of technical systems and processes.

__Attitude:__

- He/She is open to learning about, adopting and authentically communicating professional, technological development and innovation in the field of engineering.
- He/She strives to make self-learning a means to achieve its professional goals.
- Strives to solve problems, preferably in cooperation with others.
- He/she shall strive to make his/her self-learning in mechanical engineering continuous and consistent with his/her professional goals.
- He/she strives to solve problems and make management decisions by listening to the opinions of his/her colleagues, preferably in cooperation.
- Have the stamina and tolerance of monotony required to carry out practical activities.

__Autonomy and responsibilities:__

- In unexpected decision situations, he/she independently thinks through and develops comprehensive, substantiating professional questions on the basis of given sources.
- Responsibly upholds and represents the values of the engineering profession and is open to professionally informed critical comment.
- In the performance of his/her professional duties, he/she will cooperate with qualified professionals from other disciplines (primarily technical, economic and legal).
- Identify shortcomings in the technologies used, process risks and take the initiative to mitigate them.
- He/she is responsible for the consequences of his/her technical analyses, the proposals he/she makes and the decisions he/she takes.

__Additional professional competences:__

**Requirements, evaluation, grading:**

**Mid-term study requirements:**

At the end of the semester, students will write a 90-minute final exam in the lecture class. The maximum score available for the final exam is 100 points. A student who has not met the passing score may write a 100-point retake exam during the last week of the semester. Students who take a retake exam will forfeit their previous exam marks. To be admitted to the exam (§ 11 TVSZ), the end-of-semester mark must be at least 40.

**Exam requirements:**

The end-of-semester score will be taken into account in the evaluation of the exam. A good mark (4) will be awarded for a score of 75-85 and an excellent mark (5) for a score of 86 or above. Acceptance of the mark offered is not compulsory. The exam is written. The written exam will give a maximum of 100 marks and will take 90 minutes. The mark will be awarded on the basis of the marks obtained in the written test in accordance with the TVSZ.

**Study aids, laboratory background:**

**Compulsory readings:**

Jakubek Lajos, Szabó Béláné: Szilárdságtan I., GAMF-os jegyzet, KF-GAMFK-H-275 Jakubek Lajos, Szabó Béláné: Szilárdságtan II., GAMF-os jegyzet, KF-GAMFK-H-288 Szabó Béláné: Műszaki mechanikai példatár II. Szilárdságtan, GAMF-os jegyzet, KF-GAMFK-H-130.

**Recommended readings:**

M. Csizmadia Béla, Nándori Ernő: Mechanika mérnököknek, Szilárdságtan. Nemzeti Tankönyvkiadó, Bp.,2002. ISBN: 9789631934571