Une force concentrée est appliquée pendant une courte période de temps au centre de la travée d’une poutre sur appui simple. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
Considérez un tube d'échafaudage rigide, fixé en bas à l'aide de l'appui nodal d'échafaudage et chargé à la fois par un moment et une force. Self-weight is not considered. Considering an infinitely rigid beam, determine the maximum radial deflection.
Une force concentrée est soudainement appliquée au centre de la travée d'une poutre sur deux appuis simples. Considering only the small deformation theory, determine the maximum deflection of the beam.
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. le poids propre est négligé. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.
Une structure à travée simple sur deux niveaux est soumise à des charges sismiques. 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 poteau est composé d'une section en béton (rectangle 100/200) et d'une section en acier (profilé 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.
Déterminez le moment fléchissant qui, agissant à l'extrémité libre du porte-à-faux, fléchit la barre en forme circulaire. Neglecting the beam's self-weight, assuming the large deformation analysis, and loading the cantilever with the moment, determine its maximum deflections.
Une poutre avec des efforts tranchants de 48 000 et 145 000 kips des charges permanentes et d'exploitation, respectivement, est illustrée dans la Figure 1. Verify the available shear strength of the selected beam, based on LRFD and ASD.
Une barre avec les conditions aux limites données est chargée par un moment de torsion et un effort normal. 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.
Un porte-à-faux est chargé par un moment à son extrémité 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.
Une poutre articulée aux deux extrémités est chargée avec une force concentrée au centre. 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.
Une poutre en bois renforcée par deux plaques en acier aux extrémités est chargée en pression. 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.
Une poutre courbe est composée de deux poutres de section rectangulaire. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
Une poutre quart de cercle de section rectangulaire est chargée par une force hors plan. This force causes a bending moment, torsional moment, and transverse force. While neglecting self-weight, determine the total deflection of the curved beam.
Une poutre en bois renforcée par deux plaques en acier aux extrémités est chargée en pression. 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.
Une poutre est entièrement encastrée (gauchissement limité) à l'extrémité gauche et supportée par un appui à fourche (gauchissement activé) à l'extrémité droite. 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.
Une poutre en acier chargée axialement avec une section carrée est fixée à une extrémité et supportée par un ressort à l'autre. 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.
Une poutre articulée à section rectangulaire est soumise à un chargement réparti et déplacée verticalement par excentricité. Considering the small deformation theory, neglecting the self‑weight, and assuming that the beam is made of isotropic elastic material, determine the maximum deflection.
Considérons la travée de barre ASTM A992 W 18×50 ainsi que les poids propre et les charges d'exploitation représentés sur la Figure 1. The member is limited to a maximum nominal depth of 18 inches. 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.