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Одна многослойная квадратная ортотропная плита полностью закреплена в своей средней точке и подвергается давлению. Compare the deflections of the plate corners to check the correctness of the transformation.
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.
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.
Стальной канат или мембрана со штифтами на обоих концах нагружены распределенной нагрузкой. Neglecting its self-weight, determine the maximum deflection of the structure using the large deformation analysis.
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).
Консоль загружена поперечной и осевой силой на правом конце и полностью защемлена на левом конце. The problem is described by the following set of parameters. The problem is solved by using the geometrically linear analysis, second-order analysis, and large deformation analysis.
Стержень с небольшим наклоном, нагруженный сосредоточенной силой, удерживается на одном конце пружиной, а на другом конце. Assuming large deformations and neglecting the member's self-weight, determine its maximum upward deflection.
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.
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.
К тому же, на свободном конце консоли действует момент, Using the geometrically linear analysis and large deformation analysis, and neglecting the beam's self-weight, determine the maximum deflections at the free end. 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.
Просто опертая прямоугольная пластина Кирхгофа подвергается равномерному боковому давлению и растягивается от распределенной нагрузки. The maximum out-of-plane deflection is determined by assuming small deformations.
Эллиптическая пластина с защемленным краем подвержена равномерно распределенной поперечной нагрузке. Assuming the small deformation theory and neglecting the self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
Простая опорная равносторонняя треугольная плита подвержена равномерно распределенной поперечной нагрузке. Assuming the small deformation theory and neglecting self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
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.
В данный момент в середине пролета простой опорной балки внезапно приложена сосредоточенная сила. Considering only the small deformation theory, determine the maximum deflection of the beam.
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.
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.
Шарнирно опертая балка с прямоугольным сечением, подверженная распределенной нагрузке, смещается в вертикальном направлении за счет эксцентриситета. Considering the small deformation theory, neglecting the self‑weight, and assuming that the beam is made of isotropic elastic material, determine the maximum deflection.
Труба с трубчатым сечением загружена внутренним давлением. This internal pressure causes axial deformation of the pipe (the Bourdon effect). Determine the axial deformation of the pipe endpoint.
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.
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.
Сферическая мембрана воздушного потока заполнена газом под заданным атмосферным давлением и заданным объемом (эти значения используются только для задания модели КЭ). Determine the overpressure inside the balloon due to the given isotropic membrane prestress. 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.
Цилиндрическая мембрана растягивается вследствие изотропного предварительного напряжения. Find the final minimal shape of the membrane - catenoid. Determine the maximum radial deflection of the membrane. 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.
Мембрана растягивается посредством изотропного преднапряжения между двумя радиусами двух концентрических цилиндров, не лежащих в плоскости, параллельной вертикальной оси. Find the final minimum shape of the membrane - the helicoid - and determine the surface area of the resulting membrane. 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.