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.
Una biela con una sección circular se apoya según cuatro casos básicos de pandeo de Euler y se somete a una fuerza de presión. Determine the critical load.
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.
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.
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.
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. La barra está limitada a un canto nominal máximo de 18 pulgadas. 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.
A thin rectangular orthotropic plate is simply supported and loaded by uniformly distributed pressure. The directions of axes x and y coincide with the principal directions. Determine la deformación máxima de la placa sin considerar el peso propio.
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 anillo circular delgado de sección rectangular está expuesto a una presión externa. Determine the critical load and corresponding load factor for in-plane buckling.
Una viga curva consta de dos vigas con una sección rectangular. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
Un recipiente cónico de paredes delgadas está lleno de agua. 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.
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 banda bimetálica se compone de invar y cobre. 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).
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.
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.
Una placa rectangular simplemente apoyada está sujeta a diferentes tipos de carga. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
Este ejemplo es una modificación del ejemplo de verificación 0061; la única diferencia es que el material del recipiente es incompresible. 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.
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.
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.
El objetivo de este ejemplo es demostrar un proceso irreversible causado por la fricción. 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. Se omite el peso propio. Determine the relationship between the loading force and the deflection, considering large deformations.
Una viga de madera reforzada con dos placas de acero en los extremos está cargada por presión. 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.
Cuatro pilares están fijos en la parte inferior y conectados por un bloque rígido en la parte superior. 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.
Determine el momento flector que, actuando en el extremo libre del voladizo, doblará la barra en una forma circular. 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. Se omite el peso propio. Determine the relationship between the loading force and the deflection, considering large deformations.
Un voladizo de perfil en I está apoyado en el extremo izquierdo y cargado por el par. 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. Se omite el peso propio. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.
Una viga de acero con una sección cuadrada está cargada con un esfuerzo axil y una carga distribuida. The image shows the calculation of the maximum bending deflection and critical load factor according to the second-order analysis.
Una viga de acero cargada axialmente con una sección cuadrada está articulada en un extremo y apoyada en un muelle en el otro. 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.