Ocelový nosník se čtvercovým průřezem je zatížen normálovou silou a spojitým zatížením. The image shows the calculation of the maximum bending deflection and critical load factor according to the second-order analysis.
Osově zatížený ocelový nosník se čtvercovým průřezem je na jednom konci kloubově uložený a na druhém pružně podepřený. Two cases with different spring stiffnesses are considered. The verification example solves the calculation of the load factors of the beam in the image using the linear stability analysis.
Široká deska s otvorem je zatížena v jednom směru tahovým napětím. The plate width is large with respect to the hole radius, and it is very thin, considering the state of the plane stress.
Dokažte, že spojení různých rozměrových prvků nemá vliv na výsledky. A cantilever with a rectangular cross-section is fixed at one end and loaded at the other by concentrated forces. Neglecting its self-weight and assuming only small deformations, determine the cantilever's maximum deflections.
Ve spodní části jsou upevněny čtyři sloupy, které jsou nahoře spojeny tuhým blokem. The block is loaded by pressure and modeled by an elastic material with a high modulus of elasticity. The outer columns are modeled by linear elastic material and the inner columns by a stress-strain diagram with decaying dependence. Assuming only the small deformation theory and neglecting the structure's self-weight, determine its maximum deflection.
Ocelové lano nebo membrána s kolíky na obou koncích jsou zatíženy rovnoměrným zatížením. Neglecting its self-weight, determine the maximum deflection of the structure using the large deformation analysis.
Stanovíme ohybový moment, který při působení na volném konci konzoly způsobí ohyb prutu do kruhového tvaru. Neglecting the beam's self-weight, assuming the large deformation analysis, and loading the cantilever with the moment, determine its maximum deflections.
Konstrukce se skládá ze dvou nosníků, které jsou uloženy na kloubových podporách. The structure is loaded by concentrated force. The self-weight is neglected. Determine the relationship between the loading force and the deflection, considering large deformations.
Nosník uložený na obou koncích je zatížen soustředěnou silou uprostřed. Neglecting its self-weight and shear stiffness, determine the beam's maximum deflection, normal force, and moment at the mid-span, assuming the second- and third-order analysis.
Konzola s I-profilem je podepřena na levém konci a zatížena momentem. The aim of this example is to compare the fixed support with the fork support and to investigate the behavior of some representative quantities. Comparison is also made to the solution by means of plates. Small deformations are considered, and the self-weight is neglected. Determine the rotation in the midpoint of the cantilever, and in case of the member entity with warping, determine the values of the primary torsional moment, the secondary torsional moment, and the warping moment both on the left end (point A) and the right end (point B).
Konzola je na pravém konci zatížena příčnou a normálovou silou a na levém konci je plně fixována. The problem is described by the following set of parameters. The problem is solved by using the geometrically linear analysis, second-order analysis, and large deformation analysis.
Prut s mírným sklonem je namáhán osamělou silou, na jednom konci je držen pružinou a na druhém konci podepřen. Assuming large deformations and neglecting the member's self-weight, determine its maximum upward deflection.
Konstrukce se skládá ze dvou nosníků různé délky, které jsou uloženy na kloubových podporách. The structure is loaded by concentrated force. The self-weight is neglected. Determine the relationship between the loading force and the deflection, considering large deformations.
A structure made of an I-profile is fully fixed on the left end and embedded into the sliding support on the right end. Konstrukce se skládá ze dvou segmentů. The self-weight is neglected in this example. Determine the maximum deflection of the structure, the bending moment on the fixed end, the rotation of segment 2, and the reaction force at point B by means of the geometrically linear analysis and the second-order analysis. The verification example is based on the example introduced by Gensichen and Lumpe.
Tenkostěnná konzola QRO-profilu je plně fixována na levém konci a deplanace je aktivní. The cantilever is subjected to torque. Small deformations are considered, and the self-weight is neglected. Determine the maximum rotation, primary moment, secondary moment, and warping moment. The verification example is based on the example introduced by Gensichen and Lumpe.
Konzola je na svém volném konci zatížena momentem. Using the geometrically linear analysis and large deformation analysis, and neglecting the beam's self-weight, determine the maximum deflections at the free end. The verification example is based on the example introduced by Gensichen and Lumpe.
A member with the given boundary conditions is loaded by torsional moment and axial force. Neglecting its self-weight, determine the beam's maximum torsional deformation as well as its inner torsional moment, defined as the sum of a primary torsional moment and torsional moment caused by the normal force. Tyto hodnoty porovnáme při zohlednění nebo zanedbání vlivu normálové síly. The verification example is based on the example introduced by Gensichen and Lumpe.
Časová analýza konzoly (SDOF - systém s jedním stupněm volnosti), která je buzena periodickou funkcí. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
Jednoduše podepřená obdélníková Kirchhoffova deska je namáhána konstantním bočním tlakem a namáhána spojitým zatížením. The maximum out-of-plane deflection is determined by assuming small deformations.
Eliptická deska se sevřeným ohraničením je vystavena rovnoměrně rozdělenému příčnému zatížení. Assuming the small deformation theory and neglecting the self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
Jednoduše podepřená rovnostranná trojúhelníková deska je namáhána rovnoměrně rozděleným příčným zatížením. Assuming the small deformation theory and neglecting self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
Dvoupodlažní rámová konstrukce o jednom poli je vystavena seizmickému zatížení. The modulus of elasticity and cross‑section of the frame beams are much larger than those of the columns, so the beams can be considered rigid. The elastic response spectrum is given by the standard SIA 261/1:2003. Neglecting self-weight and assuming the lumped masses are at the floor levels, determine the natural frequencies of the structure. For each frequency obtained, specify the standardized displacements of the floors as well as equivalent forces generated using the elastic response spectrum according to the standard SIA 261/1.2003.
Jednoduše podepřená obdélníková deska je vystavena různým typům zatížení. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
Prostě podepřený nosník je v daném čase náhle zatížen osamělou silou působící uprostřed rozpětí. Considering only the small deformation theory, determine the maximum deflection of the beam.
Ve středu pole prostého nosníku působí krátkodobě osamělá síla. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
Ocelový prut mezi dvěma tuhými podporami se spárou na jednom konci je zatížen rozdílem teplot. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
Kloubový nosník s obdélníkovým průřezem je namáhán rovnoměrným zatížením a vykazuje posun ve svislém směru vlivem excentricity. Considering the small deformation theory, neglecting the self‑weight, and assuming that the beam is made of isotropic elastic material, determine the maximum deflection.
A pipe with a tubular cross-section is loaded by internal pressure. This internal pressure causes axial deformation of the pipe (the Bourdon effect). Stanovte axiální deformaci koncového bodu trubky.
Konstrukce se skládá ze čtyř prutů, které jsou uloženy na kloubových podporách. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point, when snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. The self-weight is neglected in this example. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at given deflections.