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Stress-strain analysis of the bar system
Pop, Miroslav ; Profant, Tomáš (referee) ; Houfek, Martin (advisor)
This bachelor’s thesis deals with the issue of rod systems, which represent a special type of construction widely used in the building and mechanical industry. In the introductory part is presented a theoretical basis and methods of static solution of rod systems are described, then it is described stress of rod systems and are derived relations that were subsequently used for the calculation of the specific example. In the practical part, the thesis deals with the analytical calculation of the planar rod system in shape of a power line pylon, for which the cross-sections of the members are designed and the magnitude of the stresses and deformation displacements are calculated. For the calculation, the general method of joints was used and cross sections were designed with respect to the elastic limit state and the buckling stability limit state. At the end of the work, the results of the analytical calculation were verified with numerical solution in software ANSYS Workbench.
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An aplication of the mathematical dislocation theory to the problem of the crack in the vicinity of the bi-material interface
Padělek, Petr ; Hrstka, Miroslav (referee) ; Profant, Tomáš (advisor)
The presented diploma thesis deals with a problem of the determination of the stress intensity factor of the finite length crack in the vicinity of the bi-material interface solved by the distributed dislocation technique. The work is divided into several parts. The first part is theoretical and includes basic concepts of the fracture mechanics, the crack behaviour at the bi-material interface, the formulation of the singular integral equation by virtue of the distributed dislocation technique, the Bueckner's principle, complex potentials and consequently the determination of the stress intensity factor. The second part is the theory application to the specific configuration of the crack of the finite length with respect to the bi-material interface and in the third part, there is carried out the solution of this problem for various configurations of the bi-material solved by the distributed dislocation technique and its comparison with the results obtained from the FE analysis.
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Crack in prismatic bars
Meňhert, Samuel ; Hrstka, Miroslav (referee) ; Profant, Tomáš (advisor)
This thesis deals with summarization of information about fracture mechanics mainly with methods which estimate stress intensity factors. They play an important role in determination of behavior of cracks in engineering process. The main goal of this thesis will be familiarization with Kienzler hypothesis which deals with strain energy release rate and internal effects in a point of disrupted cross section and comparison with classic K-concept, when the stress intensity factors are determined by infinite series.
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Optimization of sliding gate profiles
Gajdůšek, Tomáš ; Profant, Tomáš (referee) ; Fuis, Vladimír (advisor)
This thesis deals with stress and strain analysis of real self-supporting sliding gate produced by company Technopark CZ. s.r.o. In the first part of work is analyzed theory, which is used for calculations. In computational part is created model of self-supporting sliding gate and then analytically solves deformations and stresses in this model. The analytical solution is verified by the numerical solution in Ansys. At the end of the thesis are evaluated the knowledge and created the optimal dimensioning of the profiles.
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Influence of production stresses on the safety of cylindric pressure vessels
Krakovský, Andrej ; Profant, Tomáš (referee) ; Burša, Jiří (advisor)
The bachelor thesis deals with influence of production stresses on the safety of cylindrical pressure vessels. Pressure vessels are made by sheet rolling. In this process the yield strength is exceeded, which leads to creating residual stresses. These stresses can influence final safety of vessels, if any heat treating isn’t done. In this thesis residual stresses are analytically calculated for cylindrical pressure vessel of wagon tank and for theoretical thick-walled vessel. After that safety with and without residual stresses are compared. The last part of this thesis describes method of removing these stresses.
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Napjatostně deformační analýza mostu ve Starém Městě u Frýdku-Místku
Janík, Rostislav ; Profant, Tomáš (referee) ; Fuis, Vladimír (advisor)
The bachelor thesis analyses stress and strain of real railway bridge. Construction of bridge is modelled as plane bar system. The fisrt part of the thesis deals with a research, which includes obtaining information from theory, which is necessary for the right solution of the task. Next part dedicates to analytic solution of statically determinate and indeterminate variation of structure for load by own weight and also for load during passage of the train. In the next part are the results of analytic solution verified by numerical solution in program ANSYS. In the last part is evaluated the risk of buckling for all variations of the load.
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Determination of a rectangular plate deformation
Mácha, Tomáš ; Profant, Tomáš (referee) ; Hrstka, Miroslav (advisor)
The aim of the thesis is to derive the analytical equations for calculating the deformation of a rectangular plate using Kirchhoff and Mindlin theory and their subsequent application. The first section provides some basic relations in the theory of elasticity, on which this derivation is based. Both of the theories are solved using Navier method of Fourier series. By the following the results of these two methods can be compared. The comparison is carried out using Python where the derived relations with given input parameters are used. This is how the magnitude of deflection over the entire surface of the plate is obtained. Historical part includes a description of the gradual development from the second half of the 18th century, up to the invention of the finite element method. Finally, these theories have been applied to some specific examples and the results have been analyzed and consecutively compared with results from ANSYS. The limitations and suitability of these theories are then outlined.
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Significance of tensile stresses in a bended beam with constrained axial deformation
Wolf, Jonatan ; Profant, Tomáš (referee) ; Burša, Jiří (advisor)
Bachelor’s thesis deals with the significance of tension stresses produced by the bending of a beam with avoided longitudinal deformation. This problem is mainly solved by exact calculations of tensile stresses for different kinds of geometry, materials and the size lateral loads of the beam. The solution is done numerically using the MATLAB program. The result of this work is the assessment of tensile stress significance and comparison with other stresses, namely temperature stress. One of the partial results of the work is also the determination of the limit value of the slenderness of the beam for the given bending stress for which this tensile stress becomes significant.
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On the Problems of LEFM of Composite Materials
Kopp, Dalibor ; Profant, Tomáš (referee) ; Klusák,, Jan (advisor)
The objects of this bachelor thesis is to familiarize oneself with the basics of linear elastic fracture mechanics (LEFM) of homogeneous materials and to specify these problems for composite materials. The work is divided into three parts. The first part is aimed at the basics of LEFM. The second part is concerned with generalization of LEFM. The third part is oriented to the numerical application of the studied problems to notches composed of two orthotropic materials.
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