A sphere is subjected to a uniform flow of viscous fluid. The velocity of the fluid is considered at infinity. The goal is to determine the drag force. The parameters of the problem are set so that the Reynolds number is small and the radius of the sphere is also small, thus the theoretical solution can be reached - Stokes flow (G. G. Stokes 1851).
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 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.
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.
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. Maximální jmenovitá výška prutu je 18 palců. The live load deflection is limited to L/360. The beam is simply supported and continuously braced. Verify the available flexural strength of the selected beam, based on LRFD and ASD.
Velmi tuhé lano je zavěšeno mezi dvěma podporami. Determine the equilibrium shape of the cable (the catenary), consider the gravitational acceleration, and neglect the stiffness of the cable. Verify the position of the cable at the given test points.
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 cantilever of rectangular cross‑section has a mass at the end. Kromě toho je zatížena normálovou silou. Calculate the natural frequency of the structure. Neglect the self‑weight of the cantilever and consider the influence of the axial force for the stiffness modification.
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.
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.
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.
Uvažujeme tuhou lešenářskou trubku, která je ve spodní části fixně podepřena uzlovou podporou pro lešení a zatížena momentem i silou. Calculate the maximum deflection with consideration of initial slippage.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. Plastická plocha je popsána podle teorie plasticity Tsai-Wu.
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).
Uvažujeme tuhou lešenářskou trubku, která je ve spodní části fixně podepřena uzlovou podporou pro lešení a zatížena momentem i silou. Self-weight is not considered. Considering an infinitely rigid beam, determine the maximum radial deflection.
Představme si spojení dvou trubek lešení, které je namáháno normálovou silou a momentem. Self-weight is not considered. The material of the tube is idealized as perfectly rigid. All geometrical non-linearities are ignored. Determine the angle of deflection.
A steel cantilever with a rectangular cross‑section is fully fixed on one side and free on the other. Cílem tohoto verifikačního příkladu je stanovit vlastní frekvence konstrukce.
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.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. Plastická plocha je popsána podle teorie plasticity Tsai-Wu.
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.