Konzola s náběhem je plně upevněna na levém konci a působí spojitým zatížením q. Uvažují se malé deformace a vlastní tíha se v tomto příkladu zanedbá. Určete maximální průhyb.
A thin rectangular orthotropic plate is simply supported and loaded by uniformly distributed pressure. The directions of axes x and y coincide with the principal directions. Maximální průhyb desky se stanoví bez zohlednění vlastní tíhy.
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.
Zděná stěna je vystavena rovnoměrnému zatížení uprostřed své horní části. The Isotropic Masonry 2D material model is compared with the Isotropic Linear Elastic model, with surface stiffness property Without Tension in the nonlinear calculation.
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.
Na obou koncích je upevněn trojrozměrný blok z elasticko-plastického materiálu. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai-Wu plasticity theory.
Stanovíme maximální průhyb čtyř dolních sloupů spojených tuhým blokem nahoře. The block is loaded by pressure and modeled by an elastic material with a high modulus of elasticity. The outer columns are modeled as orthotropic elastic material, and the inner columns as orthotropic elastic-plastic material with the same elastic parameters as the outer columns and plasticity properties defined according to the Tsai-Wu plasticity theory.
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.
Stanovíme maximální deformaci stěny rozdělené na dvě stejné části. Horní a dolní část jsou vyrobeny z elastoplastického a elastického materiálu a obě koncové roviny jsou omezeny na pohyb ve svislém směru. Vlastní tíha stěny se zanedbá; jeho okraje jsou zatíženy vodorovným tlakem ph a středová rovina svislým tlakem.
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.
Na obou koncích je upevněn trojrozměrný blok z elasticko-plastického materiálu s vytvrzením. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai‑Wu plasticity theory.
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.
Determine the maximum deflection of a three-dimensional block fixed at both ends. The block is divided in the middle: the upper half is made of an elastic material and the lower part is made of timber - an elasto-plastic othotropic material with the yield surface described according to the Tsai-Wu plasticity theory. Na rovinu procházející středem bloku působí svislý tlak.
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.
Tlumený jednohmotový systém je zatížen konstantní silou. Determine the spring force, damping force, and inertial force at the given test time. In this verification example, the Kelvin--Voigt dashpot (namely, a spring and a damper element in serial connection) is decomposed into its purely viscous and purely elastic parts, in order to better evaluate the reaction forces.
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.
Konzola je plně fixována na levém konci a zatížena příčnou silou a normálovou silou na pravém konci. The tensile strength is zero and the behavior in the compression remains elastic.
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.
Jednovrstvá čtvercová ortotropní deska je ve svém středu zcela fixována a namáhána tlakem. Porovnejte průhyby rohů desek pro kontrolu správnosti transformace.
Tento verifikační příklad vychází z verifikačního příkladu 0122. A single-mass system without damping is subjected to an axial loading force. An ideal elastic-plastic material with characteristics is assumed. Determine the time course of the end-point deflection, velocity, and acceleration.