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Computation of a closed curved beam deformation
Dvořáček, Jan ; Krepl, Ondřej (referee) ; Hrstka, Miroslav (advisor)
Presented bachelor's thesis deals with a computation of a closed curved beam (ring) deformation with a U-shaped cross section. The thesis consists of four parts. In the first part a brief summary of theories used for analytical solution is given. Specifically energy approach and related straight and curved beam theories, Timoshenko beam theory and Euler-Bernoulli beam theory are listed. The second part contains a complete analytical solution of given problem for both straight and curved beam theories. In the third part a design of computation models and numerical solution is described. In the last part, obtained values are compared and reviewed.
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Determination of stress resultants in closed frames
Horák, Richard ; Horníková, Jana (referee) ; Vaverka, Jiří (advisor)
The bachelor's thesis deals with the determination of the internal stress resultants (ISR) of planar beams with a closed centerline. The first part of the thesis presents a theoretical basis, which is then applied in the second part to solve three tasks. In the first task, the theory of symmetrical and antimetrical course of ISR is applied to reduce the degree of static indeterminacy of a symmetrical planar beam loaded by a symmetrical and antimetrical force system. In the second task the method of superposition is used to replace the general external load of the beam by symmetrical and antimetrical external loads. The task is further solved in the same way as in the case of the first task. The third task is solved by a general procedure with several options of released structures. Furthermore, the assumption enabling the solution of the stress energy due to the bending moment only is verified. At the end of the third task, the analytically determined values are compared with the values determined by the numerical method using the software ANSYS.
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Determination of stress resultants in closed frames
Horák, Richard ; Horníková, Jana (referee) ; Vaverka, Jiří (advisor)
The bachelor's thesis deals with the determination of the internal stress resultants (ISR) of planar beams with a closed centerline. The first part of the thesis presents a theoretical basis, which is then applied in the second part to solve three tasks. In the first task, the theory of symmetrical and antimetrical course of ISR is applied to reduce the degree of static indeterminacy of a symmetrical planar beam loaded by a symmetrical and antimetrical force system. In the second task the method of superposition is used to replace the general external load of the beam by symmetrical and antimetrical external loads. The task is further solved in the same way as in the case of the first task. The third task is solved by a general procedure with several options of released structures. Furthermore, the assumption enabling the solution of the stress energy due to the bending moment only is verified. At the end of the third task, the analytically determined values are compared with the values determined by the numerical method using the software ANSYS.
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Computation of a closed curved beam deformation
Dvořáček, Jan ; Krepl, Ondřej (referee) ; Hrstka, Miroslav (advisor)
Presented bachelor's thesis deals with a computation of a closed curved beam (ring) deformation with a U-shaped cross section. The thesis consists of four parts. In the first part a brief summary of theories used for analytical solution is given. Specifically energy approach and related straight and curved beam theories, Timoshenko beam theory and Euler-Bernoulli beam theory are listed. The second part contains a complete analytical solution of given problem for both straight and curved beam theories. In the third part a design of computation models and numerical solution is described. In the last part, obtained values are compared and reviewed.
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