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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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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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Torsion of bars with noncircular cross section
Votava, Ondřej ; Hájek, Petr (referee) ; Profant, Tomáš (advisor)
The aim of this bachelor's thesis is the problematics of twisting of bars with non-circular cross-section. In order to solve this problem, analytical and numerical methods are used. The theoretical part deals with the derivation of elementary relations, especially on the thin-walled open and closed section. This theoretical knowledge is further applied to solve specific tasks. In this thesis, the applicability of using individual methods for real parts is examined.
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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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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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Solution of chosen exercises of elasticity by using Airy stress function
Koch, Martin ; Profant, Tomáš (referee) ; Novák, Kamil (advisor)
The Bachelor thesis is concerned with solving selected Mechanics of Material tasks using Airy stress function. First, a description of usage and implementation of the function and methods using the function for solving problems are provided. In the analytical part, there are selected tasks solved by using the Airy stress function and the results are compared with the ones obtained by using the standard approach. A calculation using the Finite Element Method is carried out in the last part and is followed by a final comparison of all the solutions.
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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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Stress and deformation analyses of the flange connection
Lehnert, Ondřej ; Profant, Tomáš (referee) ; Fuis, Vladimír (advisor)
This master thesis deals with analytical calculation of the various flange connections using theory of thin-walled bodies and axisymmetric assumptions. The calculation is demonstrated by one specific geometry configuration. Numerical finite element method was performed to verify analytical calculation model and also this method enabled more in-depth analysis of the prying effect which has negative influence on the bolt connection tensile load. Output from this analysis is prying point location function in plate thickness dependence and application this function into analytical calculation.
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