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 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.
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).
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.
Un cable en la posición inicial está cargado por dos fuerzas concentradas. The self‑weight is neglected. Determine the normal forces in the cable.
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 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 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.
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 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 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.
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.
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.
Considere un tubo de andamio rígido, fijado en la parte inferior utilizando el apoyo en nudo de andamio y cargado tanto por un momento como por una fuerza. Calculate the maximum radial deflection by exceeding the capacity of the scaffolding support.
Una viga larga y delgada lleva una masa concentrada y está cargada por una fuerza dependiente del tiempo. It is simply supported. The problem is described using the following parameters. Determine the deflections in the given test times.