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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.
Стойка с круглым сечением поддерживается в соответствии с четырьмя основными случаями потери устойчивости Эйлера и подвергается действию давления. Determine the critical load.
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.
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.
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. Стержень ограничен максимальной номинальной высотой 18 дюймов (45,72 см). 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.
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.
Криволинейная балка состоит из двух балок с прямоугольным сечением. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
Конический тонкостенный резервуар заполнен водой. Thus, it is loaded by hydrostatic pressure. While neglecting self-weight, determine the stresses in the surface line and circumferential direction. The analytical solution is based on the theory of thin-walled vessels. This theory was introduced in Verification Example 0084.
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.
Биметрический пояс состоит из инвара и меди. The left end of the bimetallic strip is fixed, and the right end is free, loaded by temperature difference. While neglecting self-weight, determine the deflection of the bimetallic strip (free end).
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.
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.
Просто опертая прямоугольная плита подвергается различным типам нагрузок. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
Этот пример является модификацией контрольного примера 0061; разница лишь в том, что материал резервуара несжимаемый. An open‑ended, thick‑walled vessel is loaded by both inner and outer pressure. While neglecting self‑weight, the radial deflection of the inner and the outer radius is determined.
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.
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.
Цель данного примера - продемонстрировать необратимые процессы, вызванные трением. After the loading and unloading, the end-point is in a different position than where it was at the beginning. Determine the movement of the node in the X direction.
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.
Деревянная балка, усиленная на концах двумя стальными пластинами, подвергается нагрузке давления. The wood fibers are parallel to the upper loaded side of the beam. The plastic surface is described according to the Tsai-Wu plasticity theory.
Четыре колонны закреплены снизу и соединены жестким блоком наверху. 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.
Определите изгибающий момент, действующий на свободный конец консоли, который изгибает стержень до круглой формы. Neglecting the beam's self-weight, assuming the large deformation analysis, and loading the cantilever with the moment, determine its maximum deflections.
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.
На левом конце поддерживается двутавровая консоль, которая нагружена крутящим моментом. 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).
A cantilever beam with an I-beam cross-section of length L is defined. The beam has five mass points with masses m acting in the X-direction. Собственный вес не учитывается. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.
Стальная балка квадратного сечения нагружена нормальной силой и распределенной нагрузкой. The image shows the calculation of the maximum bending deflection and critical load factor according to the second-order analysis.
Стальная балка квадратного сечения с осевой нагрузкой имеет шарнирное закрепление на одном конце и подпружинивание - на другом. 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.
На обоих концах затем закреплен трехмерный блок из упруго-пластического материала. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai-Wu plasticity theory.