Konstrukcja z profilu I jest osadzona w podporach widłowych. The axial rotation is restricted on both ends while warping is enabled. The structure is loaded by two transverse forces in the middle. The verification example is based on the example introduced by Gensichen and Lumpe.
Płaska kratownica składająca się z czterech nachylonych prętów i jednego pręta pionowego jest obciążona w górnym węźle siłą pionową i siłą skierowaną prostopadle do płaszczyzny. 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 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).
Poniższy przykład obliczeniowy jest oparty na przykładzie obliczeniowym 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.
Symetryczna płytka konstrukcja składa się z ośmiu równych prętów kratownicowych, osadzonych w podporach przegubowych. 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. 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 the given deflections.
Kabel jest obciążany obciążeniem równomiernym. This causes the deformed shape in the form of the circular segment. 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.
Konstrukcja składa się z czterech prętów kratownicowych, osadzonych w podporach przegubowych. 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.
Na rysunku 1 pokazano belkę ASTM A992 W 24x62 o skróceniu do ścinania na końcu 48 000 i 145 000 kips od obciążeń stałych i użytkowych, odpowiednio Verify the available shear strength of the selected beam, based on LRFD and ASD.
Słup składa się z przekroju betonowego (prostokąt 100/200) oraz stalowego (profil I 200). It is subjected to pressure force. Determine the critical load and corresponding load factor. The theoretical solution is based on the buckling of a simple beam. In this case, two regions have to be taken into account due to different moments of inertia and material properties.
Układ jednomasowy z dashpotem jest poddawany stałemu obciążeniu. 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.
Belka ćwierćokrągła o przekroju prostokątnym jest obciążona siłą unoszącą się z płaszczyzny. This force causes a bending moment, torsional moment, and transverse force. While neglecting self-weight, determine the total deflection of the curved beam.
Prosty oscylator składa się z masy m (rozpatrywanej tylko w kierunku x) i liniowej sprężystości sztywności k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Konstrukcja kratownicowa składa się z trzech prętów (jeden stalowych i dwa miedziane) połączonych sztywnym prętem. The structure is loaded by a concentrated force and a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.
Stalowy pręt między dwiema sztywnymi podporami ze szczeliną jest obciążony różnicą temperatur. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
Wspornik o przekroju prostokątnym ma na końcu masę. Furthermore, it is loaded by an axial force. 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.
Dwukondygnacyjna, jednonawowa konstrukcja szkieletowa jest poddawana obciążeniu sejsmicznemu. 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.
Na górnym końcu zamocowany jest pręt o przekroju kwadratowym. The rod is loaded by self-weight. For comparison, the example is also modeled with the concentrated force load, the value of which is equal to the gravity. The aim of this verification example is to show the difference between these types of loading, although the total loading force is equal.
Płyta kompaktowa (CD) obraca się z prędkością 10 000 obr./min. Therefore, it is subjected to centrifugal force. The problem is modeled as a quarter model. Determine the tangential stress on the inner and outer diameters and the radial deflection of the outer radius.
Przykład ten służy do zademonstrowania ograniczenia membrany. The application is shown on a two-story structure. The structure is loaded by means of lateral forces according to Figure 1. Determine the maximum deflection of the structure ux in the direction of the loading forces using both the diaphragm constraint and the plate model of the floor.
Konstrukcja składa się z dwóch kratownic o różnej długości, osadzonych w podporach przegubowych. 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.
Konstrukcja z profilu I jest w pełni utwierdzona na lewym końcu i osadzona w podporze przesuwnej na prawym końcu. The structure consists of two segments. 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.
Pręt o zadanych warunkach brzegowych jest obciążony momentem skręcającym i siłą osiową. 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. Provide a comparison of those values while assuming or neglecting the influence of the normal force. The verification example is based on the example introduced by Gensichen and Lumpe.
Analiza czasowa belki wspornikowej (układ SDOF) wzbudzanej przez funkcję okresową. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
Konstrukcja składa się z dwóch kratownic wbudowanych w podpory przegubowe. 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.
Konstrukcja wykonana z kratownic o przekroju dwuteowym jest podparta na obu końcach za pomocą sprężynowych podpór przesuwnych i obciążona siłami poprzecznymi. The self-weight is neglected in this example. Determine the deflection of the structure, the bending moment, the normal force in the given test points, and the horizontal deflection of the spring supports.
Belka jest w pełni utwierdzona (skręcanie jest ograniczone) na lewym końcu i podparta na podporze widełkowej (skręcanie jest aktywne) na prawym końcu. The beam is subjected to a torque, longitudinal force, and transverse force. Determine the behavior of the primary torsional moment, secondary torsional moment, and warping moment. The verification example is based on the example introduced by Gensichen and Lumpe.
Belka podparta przegubowo na obu końcach jest obciążona w środku siłą skupioną. 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.
Wykazać, że połączenie różnych elementów wymiarowych nie ma wpływu na wyniki. 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.