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Applied Mechanics I

Course developer

Course abstract

The aim of the study course is to learn the basic principles of theoretical mechanics which allows to assess the different industrial structures, assemblies and engineering constructions constructive performance and reliability. Students will learn the method to calculate static structures and motion kinematic parameters. Students acquire knowledge on durability, stiffness and stability of materials for calculation of constructions and components of machines, develop engineering perception, supporting on the theory they study to put into practice the substantiation of optimal structural design of constructions and machines.

Learning outcomes and their assessment

Knowledge - understands the force-projection method and is able to draw up the balance equations. Knows rigid body movement, speed and acceleration. Students comprehend the basic principles of engineering calculation on strength, stability and deformation of materials and constructions. Assessment – tests.
Skills - know how to view the different solid bodies and the construction condition using abstraction and analytical way. Using the methods and modes of the strength of materials students are able to perform practical calculations on strength, stability and deformation of engineering constructions. Assessment – lab works.

Competence - ability to apply theoretical principles in practical mechanics and scientific activities. Students are able to solve technical problems and perform independent calculation and construction work of engineering constructions design. Assessment – home works.

Course Content(Calendar)

1. Introduction. Axioms of statics. Equivalent and balanced systems of forces. Supports and reactions. (3h)
2. Projection of forces on the axes in the plane and space. (2h)
3. Moment of the force about point as vector. Varignon’s and Poisson’s theorems. Reduction of force. (3h)
4. System of bodies. Sliding friction. Rolling friction. (2h)
5. System of forces in space. Centre of mass. Stability. (2h)
6. Motion of the point. Velocity. Acceleration. (2h)
7. Types of rigid body. Motion’s degrees of freedom. (2h)
8. Rotation. (2h)
9. Speed ratio. (2h)
10. Parallel motion in plane. (2h)
11. Velocities in parallel motion. (2h)
12. Acceleration in parallel motion. (2h)
13. Complex motion of the point. Velocities. (2h)
14. Acceleration in complex motion of the point. (2h)
15. Complex motion of the rigid body. (3h)
16. Geometric parameters of cross section. (2h)
17. Method of cross section. Diagrams of internal forces. (3h)
18. Stresses. Tension, Diagram of stress-strain for plastic and brittle materials. (3h)
19. Surface load. Permissible stress. (2h)
20. Complex loading. Loading in plane and space. (3h)
21. Stresses in tension. (2h)
22. Theories of strength. (3h)
23. Strain in plane. (2h)
24. Shearing load. (2h)
25. Torsion load. Torsion in round bars. (3h)
26. Bending load. Normal stress in bending. (2h)
27. Tangential stress in bending. Calculation of strength. (2h)

28. Differential equation of bended axe of beam and its integration. (2h)

Requirements for awarding credit points

The problems, assigned for independent work, lab assignments and tests must be successfully submitted and graded. Exam.

Description of the organization and tasks of students’ independent work

The problems for independent work are similar to the ones given during practice work. The problem starts with statement of initial parameters. To solve the problem, application of the skills obtained during practice is necessary.

Criteria for Evaluating Learning Outcomes

The assessment of the study course is cumulative. It is made up of the grades of the tests, lab works during the semester and home assignments.
The assessment requirements of home assignments and a practical task of the examinations is included in the instructions of the home assignments or practical task.
The final grade is calculated as an arithmetic mean of grades obtained during the semester (a mean arithmetic grade of tests, lab works and home assignments).

Compulsory reading

1. Meriam J.L., Kraige L.G. Engineering Mechanics. Statics. New York: John Wiley & Sons, 2001. 512 p.
2. Meriam J.L., Kraige L.G. Engineering Mechanics. Dynamics. New York: John Wiley & Sons, 2003. 744 p

3. Engineering mechanics. Dynamics. Gary L. Gray, Francesco Costanzo, Michael E. Plesha. New York : McGraw-Hill. 2013. 832 p

Further reading

Hibbeler R.C. Statics and mechanics of materials. Singapore: Prentice Hall, 2004. 792 p.

Notes

Compulsory course in bachelor's programme "Biosystems machinery and technologies". 2nd study year 4th semester.