Конструкция состоит из двутавровой балки и двух трубчатых ферм. The structure contains several imperfections and it is loaded by the force Fz. В данном примере не учитывается собственный вес. Determine the deflections uy and uz and axial rotation φx at the endpoint (Point 4). Данный контрольный пример основан на примере, представленном Gensichen и Lumpe.
В вилочные опоры затем встроена конструкция из двутаврового профиля. 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.
Плоская ферма, состоящая из четырех наклонных стержней и одного вертикального стержня, загружена в верхнем узле вертикальной и внеплоской силой. 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).
Данный контрольный пример основан на контрольном примере 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.
Симметричная конструкция мелкого заложения состоит из восьми одинаковых ферм, встроенных в шарнирные опоры. 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.
На канат действует равномерная нагрузка. 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.
Конструкция состоит из четырех ферм, встроенных в шарнирные опоры. 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.
Колонна состоит из бетонного сечения (прямоугольник 100/200) и стального сечения (профиль 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.
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- Расчет
- RFEM 5
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- RSTAB 8
- RF-DYNAM Pro | Natural Vibrations 5
- RF-DYNAM Pro | Forced Vibrations 5
- RF-DYNAM Pro | Equivalent Loads 5
- RF-DYNAM Pro | Nonlinear Time History 5 (нелинейное изменение во времени)
- DYNAM Pro | Natural Vibrations 8 (собственные колебания)
- DYNAM Pro | Equivalent Loads (Эквивалентные нагрузки) 8
- DYNAM Pro | Nonlinear Time History 8
Система единичных масс с амортизатором находится под действием постоянной нагруженной силы. 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.
Балка в форме четверти окружности с прямоугольным сечением загружена силой, находящейся вне плоскости. This force causes a bending moment, torsional moment, and transverse force. While neglecting self-weight, determine the total deflection of the curved beam.
На канат в исходном положении действуют две сосредоточенные силы. The self‑weight is neglected. Determine the normal forces in the cable.
Простой осциллятор состоит из массы m (рассчитываемой только в направлении x) и линейной пружины с жесткостью k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Конструкция фермы состоит из трех стержней (один стальной и два медных), соединенных жестким стержнем. The structure is loaded by a concentrated force and a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.
Стальной стержень между двумя жесткими опорами с зазором нагружен перепадом температур. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
У консоли с прямоугольным сечением на конце имеется масса. 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.
Двухэтажная однопролетная каркасная конструкция подвержена сейсмической нагрузке. 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.
На верхнем конце затем закреплен стержень квадратного сечения. 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.
Компактный диск (CD) вращается со скоростью 10 000 об/мин. 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.
Данный пример служит для демонстрации ограничения диафрагмы. 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.
A structure is made of two trusses of unequal length, which are embedded into the hinge supports. The structure is loaded by concentrated force. Собственный вес не учитывается. Determine the relationship between the loading force and the deflection, considering large deformations.
Конструкция из двутаврового профиля полностью закреплена на левом конце и встроена в подвижную опору на правом конце. 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.
Стержень с заданными граничными условиями нагружен крутящим моментом и нормальной силой. 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.
Расчет изменений во времени для консольной балки (система SDOF), возбужденной периодической функцией. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
A structure is made of two trusses, which are embedded into the hinge supports. The structure is loaded by concentrated force. Собственный вес не учитывается. Determine the relationship between the loading force and the deflection, considering large deformations.
Конструкция из двутавровых ферм опирается на обоих концах пружинные скользящие опоры и нагружена поперечными силами. 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.
Балка полностью закреплена (депланация ограничена) на левом конце и поддерживается вилочной опорой (депланация включена) на правом конце. 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.
Балка, шарнирно опертая на обоих концах, загружена сосредоточенной силой в середине. 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.
Докажите, что соединение различных размерных элементов не влияет на результаты. 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.