Rovinný příhradový vazník, který se skládá ze čtyř šikmých prutů a jednoho svislého prutu, je zatížen v horním uzlu svislou silou a silou mimo rovinu. Assuming the large deformation analysis and neglecting the self-weight, determine the normal forces of the members and the out-of-plane displacement of the upper node.
A membrane is stretched by means of isotropic prestress between two radii of two concentric cylinders not lying in a plane parallel to the vertical axis. Find the final minimum shape of the membrane - the helicoid - and determine the surface area of the resulting membrane. K tomu slouží přídavný modul RF-FORM-FINDING. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A cylindrical membrane is stretched by means of isotropic prestress. Find the final minimal shape of the membrane - catenoid. Stanovíme maximální radiální průhyb membrány. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A symmetrical shallow structure is made of eight equal truss members, which are embedded into hinge supports. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point when the snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. Vlastní tíha se v tomto příkladu nezohledňuje. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at the given deflections.
A cable is loaded by means of a uniform load. Výsledkem je deformovaný tvar kruhového segmentu. Determine the equilibrium force of the cable to obtain the given sag of the cable. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A spherical balloon membrane is filled with gas with atmospheric pressure and defined volume (these values are used for FE model definition only). Determine the overpressure inside the balloon due to the given isotropic membrane prestress. K tomu slouží přídavný modul RF-FORM-FINDING. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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).
Jednovrstvá čtvercová ortotropní deska je ve svém středu zcela fixována a namáhána tlakem. Compare the deflections of the plate corners to check the correctness of the transformation.