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.
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.
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.
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.
В середине пролета простой опёртой балки в течение короткого промежутка времени приложена сосредоточенная сила. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
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.
Консоль прямоугольного сечения лежит на упругом основании Пастернака и загружена распределенной нагрузкой. The image shows the calculation of the maximum deflection and maximum bending moment.
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.
Тонкостенная консоль из QRO-профиля полностью закреплена на левом конце, и депланация включена. 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.
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.
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.
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.
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).
Консоль прямоугольного сечения лежит на упругом Винклеровом основании и загружена распределенной нагрузкой. The image shows the calculation of the maximum deflection and maximum bending moment.
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.