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.
En la figura 01 se muestra una viga ASTM A992 W 24×62 con cortante en los extremos de 48.000 y 145.000 kips de las cargas muertas y vivas, respectivamente. Verify the available shear strength of the selected beam, based on LRFD and ASD.
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.
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.
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.
Una viga articulada con una sección rectangular está sometida a una carga distribuida y desplazada verticalmente por la excentricidad. Considering the small deformation theory, neglecting the self‑weight, and assuming that the beam is made of isotropic elastic material, determine the maximum deflection.
Una fuerza concentrada se aplica repentinamente en la mitad del vano de una viga simplemente apoyada en un momento dado. Considering only the small deformation theory, determine the maximum deflection of the beam.
Se aplica una fuerza concentrada durante un corto período de tiempo en la mitad del vano de una viga simplemente apoyada. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
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.
Un voladizo está cargado por un momento en su extremo libre. 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.
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.
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.
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.
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.
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. Self-weight is not considered. Considering an infinitely rigid beam, determine the maximum radial deflection.
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 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.
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.