Une poutre en acier de section carrée est chargée avec un effort normal et une charge répartie. The image shows the calculation of the maximum bending deflection and critical load factor according to the second-order analysis.
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 plaque large avec un trou est chargée dans une direction par une contrainte de traction. The plate width is large with respect to the hole radius, and it is very thin, considering the state of the plane stress.
Montrer que le couplage de différents éléments dimensionnels n'affecte pas les résultats. 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.
Quatre poteaux sont encastrés en bas et reliés par un bloc rigide en haut. 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.
Un câble en acier ou une membrane avec des axes aux deux extrémités est chargé par une charge distribuée. Neglecting its self-weight, determine the maximum deflection of the structure using the large deformation analysis.
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.
A structure is made of two trusses, which are embedded into the hinge supports. The structure is loaded by concentrated force. le poids propre est négligé. Determine the relationship between the loading force and the deflection, considering large deformations.
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.
Un porte-à-faux profilé en I est supporté à l'extrémité gauche et chargé par un couple. 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).
Une console est chargée par une force concentrée à son extrémité libre. Determine the maximum deflection of the console using large deformation analysis.
Un porte-à-faux est chargé par une force transversale et un effort normal à l'extrémité droite et est entièrement encastré à l'extrémité gauche. The problem is described by the following set of parameters. The problem is solved by using the geometrically linear analysis, second-order analysis, and large deformation analysis.
Une barre légèrement inclinée est chargée par une force concentrée, maintenue par un ressort à une extrémité et supportée à l'autre extrémité. Assuming large deformations and neglecting the member's self-weight, determine its maximum upward deflection.
A structure is made of two trusses of unequal length, which are embedded into the hinge supports. The structure is loaded by concentrated force. le poids propre est négligé. Determine the relationship between the loading force and the deflection, considering large deformations.
A structure made of an I-profile is fully fixed on the left end and embedded into the sliding support on the right end. The structure consists of two segments. Le poids propre est négligé dans cet exemple. 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.
Un porte-à-faux à parois minces d'un profilé QRO est entièrement fixé à l'extrémité gauche et le gauchissement est activé. The cantilever is subjected to torque. Small deformations are considered, and the self-weight is neglected. Determine the maximum rotation, primary moment, secondary moment, and warping moment. 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 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.
Analyse de l'historique de temps d'une poutre en porte-à-faux (système SDOF) activée par une fonction périodique. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
Une plaque de Kirchhoff rectangulaire avec un simple appui est soumise à une pression latérale uniforme et est étirée par une charge répartie. The maximum out-of-plane deflection is determined by assuming small deformations.
Une plaque elliptique avec un contour articulé est soumise à une charge transversale uniformément distribuée. Assuming the small deformation theory and neglecting the self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
Une plaque triangulaire équilatérale simplement supportée est soumise à une charge transversale uniformément répartie. Assuming the small deformation theory and neglecting self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
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.
Une plaque rectangulaire sur appuis simples est chargée de différents types de charge. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
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.
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.
Une barre en acier entre deux appuis rigides présentant un espacement est chargée par une différence de température. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
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.
Un tuyau de section tubulaire est chargé par une pression interne. This internal pressure causes axial deformation of the pipe (the Bourdon effect). Determine the axial deformation of the pipe endpoint.
A structure is made of four truss members, which are embedded into hinge supports. 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. Le poids propre est négligé dans cet exemple. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at given deflections.