Un voladizo está completamente fijo en el extremo izquierdo y cargado por una fuerza transversal y una fuerza axil en el extremo derecho. The tensile strength is zero and the behavior in the compression remains elastic.
Demuestre que el acoplamiento de diferentes elementos dimensionales no afecta a los resultados. 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.
A structure is made of two trusses, which are embedded into the hinge supports. The structure is loaded by concentrated force. Se omite el peso propio. Determine the relationship between the loading force and the deflection, considering large deformations.
Una estructura hecha de cerchas de perfil en I está apoyada en ambos extremos mediante apoyos deslizantes de muelles y cargada por fuerzas transversales. 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.
Una viga está completamente fija (el alabeo está restringido) en el extremo izquierdo y está apoyada en un apoyo en horquilla (el alabeo está habilitado) en el extremo derecho. 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.
Una viga articulada en ambos extremos está cargada con una fuerza concentrada en el medio. 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.
A structure is made of two trusses of unequal length, which are embedded into the hinge supports. The structure is loaded by concentrated force. Se omite el peso propio. Determine the relationship between the loading force and the deflection, considering large deformations.
Una estructura hecha de un perfil en I está completamente fijada en el extremo izquierdo y empotrada en el apoyo deslizante en el extremo derecho. 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.
Una barra con las condiciones de contorno dadas está cargada por el momento torsor y el esfuerzo axil. 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.
Análisis en el dominio del tiempo de una viga en voladizo (sistema SDOF) excitada por una función periódica. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
Este ejemplo sirve como demostración de la coacción del diafragma. 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.
Una barra con una sección cuadrada está fijada en el extremo superior. 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.
Un disco compacto (CD) gira a una velocidad de 10.000 rpm. 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.
Una estructura de pórtico de un solo vano de dos plantas está sometida a una carga sísmica. 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.
Una estructura de celosía consta de tres barras (una de acero y dos de cobre) unidas por una barra rígida. The structure is loaded by a concentrated force and a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.
Una barra de acero entre dos apoyos rígidos con un espacio está cargada por una diferencia de temperatura. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
Un voladizo de sección rectangular tiene una masa al final. 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.
Un oscilador simple consta de una masa m (considerada solo en la dirección x) y un muelle lineal de rigidez k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Una viga de un cuarto de círculo con una sección rectangular está cargada por medio de una fuerza fuera del plano. This force causes a bending moment, torsional moment, and transverse force. While neglecting self-weight, determine the total deflection of the curved beam.
Un pilar se compone de una sección de hormigón (rectángulo 100/200) y una sección de acero (perfil 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.
Un sistema monomasa con amortiguador está sometido a una fuerza de carga constante. 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.
Una estructura se compone de cuatro barras de celosía, que están incrustadas en apoyos de articulación. 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.
Una estructura superficial simétrica se compone de ocho barras de celosía iguales, que están incrustadas en los apoyos de las articulaciones. 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.
Un cable está cargado por medio de una carga uniforme. 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.
Este ejemplo de verificación se basa en el ejemplo de verificación 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.
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).
Una cercha plana que consta de cuatro barras inclinadas y una barra vertical está cargada en el nudo superior por medio de una fuerza vertical y una fuerza fuera del plano. 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.
Una estructura hecha de un perfil en I está incrustada en los apoyos de la horquilla. 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.