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 mur en maçonnerie est exposé à une charge répartie au centre de sa partie supérieure. The Isotropic Masonry 2D material model is compared with the Isotropic Linear Elastic model, with surface stiffness property Without Tension in the nonlinear calculation.
Une membrane cylindrique est tendue à l'aide d'une précontrainte isotrope. Find the final minimal shape of the membrane - catenoid. Determine the maximum radial deflection of the membrane. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
Déterminez la flèche maximale de quatre poteaux encastrés en bas et connectés 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 as orthotropic elastic material, and the inner columns as orthotropic elastic-plastic material with the same elastic parameters as the outer columns and plasticity properties defined according to the Tsai-Wu plasticity theory.
Une membrane de diaphragme sphérique est remplie de gaz avec une pression atmosphérique et un volume défini (ces valeurs sont utilisées uniquement pour la définition du modèle EF). Determine the overpressure inside the balloon due to the given isotropic membrane prestress. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
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.
Déterminez la flèche maximale d'un bloc 3D encastré à ses deux extrémités. The block is divided in the middle: the upper half is made of an elastic material and the lower part is made of timber - an elasto-plastic othotropic material with the yield surface described according to the Tsai-Wu plasticity theory. The block's middle plane is subjected to vertical pressure.
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 système à un degré de liberté avec un amortisseur est soumis à une force de charge 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.
Un câble est chargé à l'aide d'une charge uniforme. This causes the deformed shape in the form of the circular segment. Determine the equilibrium force of the cable to obtain the given sag of the cable. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
Un porte-à-faux est entièrement encastré à l'extrémité gauche et chargé par une force transversale et un effort normal à l'extrémité droite. The tensile strength is zero and the behavior in the compression remains elastic.
Une membrane est tendue au moyen d'une précontrainte isotrope entre deux rayons de deux cylindres concentriques ne se trouvant pas dans un plan parallèle à l'axe vertical. Find the final minimum shape of the membrane - the helicoid - and determine the surface area of the resulting membrane. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
Cet exemple de vérification est basé sur l'exemple de vérification 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.