| Course title | Elasticity and Strength I |
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| Course code | KMP/PP1 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 5 |
| Language of instruction | Czech, English |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | Course does not contain work placement |
| Recommended optional programme components | None |
| Course availability | The course is available to visiting students |
| Lecturer(s) |
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| Course content |
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1. Basic problems of elasticity. Real bodies and their models. Analytical and numerical solution of the models. Onedimensional stress. Uniform and nonuniform axially loaded bars. Hooke's law. Relative change in volume. Stress-strain curve. Coefficient of safety. 2. Cable of uniform stress. Rotating bar and ring. Statically determinate and statically indeterminate frameworks. Frameworks with trusses loaded by temperature and pre-stressed trusses. 3. Stress in an inclined plane. Shearing stress. Plane stress. Generalized Hooke's law. Plane stress and plane strain. 4. Complementary shearing stresses. Stress and strain in a thin-walled pressure vessel. 5. Analysis of plane stress. Mohr's circle. Special cases. 6. Stress and strain in a thin walled pipe under torsion load. Torsion of shafts. Power transfered by rotating shaft. 7. Statically indeterminate cases of torsion. Shafts loaded by nonuniform torsion. Stress and deformation of a cylindrical spring. Stifness of a spring. Beams in bending. Internal forces and moments in beams in bending. Schwedler's law. Stress in pure bending. 8. Geometric characteristic of cross-section. Parallel-axis theorem. Culmann's circle. 9. Shearing forces and their influence to stress a deformations of beams. Shear center. Differential equation of the deflection curve. Mohr's method. Fictitious beam as model for solving deflection. Statically indeterminate cases of bending. 10. Buckling of bars. Euler's critical force. Influence of slenderness ratio. 11. Tetmayer's critical force. 12. Work executed by loads, strain energy. Limit analysis ? theories of elastic failure. Combined loading. Spatial bending. 13. Nonlinear problems. Geometric and material nonlinearity. 14. Experimental methods. Electric resistance strain gauges. Photoelastic measuring. Basics of FEM. Example of FEM in 3D.
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| Learning activities and teaching methods |
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| Learning outcomes |
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Aim of the subject is to teach students solving the basic types of loads (tension and compression, torsion, bending, buckling, twodimensional stress) and their simple combinations.
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| Prerequisites |
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unspecified
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| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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