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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).
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.
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.
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.
Между двумя опорами подвешены очень жесткие канаты. Determine the equilibrium shape of the cable (the catenary), consider the gravitational acceleration, and neglect the stiffness of the cable. Verify the position of the cable at the given test points.
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.
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.
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.
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.
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.
Рассмотрим жесткую трубу строительных лесов, закрепленную снизу с помощью Узловой опоры лесов и нагруженную моментом и силой. Calculate the maximum deflection with consideration of initial slippage.
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.
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).
Рассмотрим жесткую трубу строительных лесов, закрепленную снизу с помощью Узловой опоры лесов и нагруженную моментом и силой. Self-weight is not considered. Considering an infinitely rigid beam, determine the maximum radial deflection.
Рассмотрим соединение труб строительных лесов, подверженное действию осевой силы и момента. Self-weight is not considered. The material of the tube is idealized as perfectly rigid. All geometrical non-linearities are ignored. Determine the angle of deflection.
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.
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.
Широкая пластина с отверстием загружена в одном направлении растягивающим напряжением. The plate width is large with respect to the hole radius, and it is very thin, considering the state of the plane stress.