### Course: Elasticity and Strength I

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 Course title Elasticity and Strength I KMP/PP1 Lecture + Lesson Bachelor not specified Summer 5 Czech Compulsory Face-to-face Course does not contain work placement None The course is available to visiting students
Lecturer(s)
• Hruš Tomáš, Dr. Ing.
• Žák Josef, Ing. Ph.D.
• Kruisová Alena, Ing. Ph.D.
• Cirkl David, doc. Ing. Ph.D.
Course content
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.

Learning activities and teaching methods
unspecified
Learning outcomes
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.

Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
• E. Hájek, P. Reif, F. Valenta. Pružnost a pevnost. 1988.
• E. Pešina, P. Reif, F. Valenta. Sbírka příkladů z pružnosti. 1964.
• HÖSCHL, Cyril. Pružnost a pevnost ve strojnictví. Praha, 1971.
• HÖSCHL, Cyril. Pružnost a pevnost 2. Liberec, 1992.
• Řezníček, J., Řezníčková, J. Pružnost a pevnost v technické praxi 1. Praha, 2005.
• Řezníček, J., Řezníčková, J. Pružnost a pevnost v technické praxi 2. Praha, 2006.
• Řezníček, J., Řezníčková, J. Pružnost a pevnost v technické praxi 3. Praha, 2008.
• Stříž, B. a kol.:. Metodická příručka z pružnosti a pevnosti. Skriptum VŠST, Liberec 1991, ISBN 80-7083-064-6. VŠST, Liberec, 1991.
• Stříž, B. a kol. Pružnost a pevnost 2. Liberec, 1980.

 Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester