Course: Elasticity and Strength II

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Course title Elasticity and Strength II
Course code KMP/PP2
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
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)
  • Petríková Iva, prof. Ing. Ph.D.
  • Hruš Tomáš, Dr. Ing.
  • Marvalová Bohdana, prof. Ing. CSc.
  • Žák Josef, Ing. Ph.D.
  • Kruisová Alena, Ing. Ph.D.
Course content
1. Deformation energy and potential energy of an elastic body. The principle of virtual work in elasticity. Principle of minimum potential energy. Betti's theorem. 2. The use of Castigliano's theorems for calculation of stress and deformation of thin curved rods and frames. 3. Analysis of 3-d state of stress and strain. Basic approach to the solution of problems of elasticity - differential equations of equilibrium, relations between displacements and strains, Hooke's law, compatibility conditions. 4. Tension and deformation of cylindrical thick-walled pipes and pressure vessels. Determination of Critical Stress and Application of Strength Criteria for 3d state of stress. 5. Assemblage of a hub and a shaft - shrinkage . Rotating discs and shafts. Dimensionig. 6. Bending of thin circular plates with different boundaries loaded by symmetrical forces. 7. Bending of thin-walled cylindrical shells. Bending stress in thin-walled containers. 8. Free torsion of prismatic rods of non-circular cross-section. Hydrodynamic and membrane analogy. 9. Torsion of bars with open and closed thin-walled section. Basics of confined torsion. 10. Contact stress. Stress concentration around shape changes, holes and notches, stress concentration factor. 11. Material fatigue and cyclic stresses in shafts. The nature of the cyclical load. Fatigue strength, fatigue limit. Effect of notches, size and surface quality. Wohler curve, Haigh's and Smith's diagram. 12. Fundamentals of plasticity. Conditions of plasticity. Confined plastic deformation and residual stresses in bars, beams and twisted shafts, allowable load based on limit state. 13. Conditions of plasticity in 3d stress. Decomposition of state of stress to the hydrostatic part and stress deviator. Stress invariants. Cylindrical pressure vessel in elasto-plastic state, autofrettage, residual stresses. 14. Fundamentals of Fracture Mechanics: Linear Fracture Mechanics - Fragile Fracture. Coefficient of stress intensity, fracture toughness. Crack Opening Criterion, J-integral, Deformation Energy Density Criterion.

Learning activities and teaching methods
unspecified
Learning outcomes
The course Elasticity and Strength II expands the knowledge acquired in subject Elasticity and Strength I. It comprises the topics of 3D stress and strain analysis, brings deeper understanding of complex stress-strain fenomena.

Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
  • E. Hájek, P. Reif, F. Valenta. Pružnost a pevnost. 1988.
  • 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.
  • 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, II. díl. Skripta VŠST. Liberec, 1980.


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