Uno sbalzo è completamente fissato all'estremità sinistra e caricato da una forza trasversale e da una forza assiale sull'estremità destra. The tensile strength is zero and the behavior in the compression remains elastic.
Dimostra che l'accoppiamento di diversi elementi dimensionali non influisce sui risultati. 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.
A structure is made of two trusses, which are embedded into the hinge supports. The structure is loaded by concentrated force. Il peso proprio è trascurato. Determine the relationship between the loading force and the deflection, considering large deformations.
Una struttura composta da travi reticolari con profilo a I è supportata su entrambe le estremità da vincoli di scorrimento a molla e caricata da forze trasversali. 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 trave è completamente fissa (l'ingobbamento è limitato) all'estremità sinistra e supportata da un vincolo esterno a forcella (l'ingobbamento è abilitato) all'estremità destra. 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 trave vincolata ad entrambe le estremità è caricata con forza concentrata nel mezzo. 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.
A structure is made of two trusses of unequal length, which are embedded into the hinge supports. The structure is loaded by concentrated force. Il peso proprio è trascurato. Determine the relationship between the loading force and the deflection, considering large deformations.
Una struttura composta da un profilo a I è completamente fissata all'estremità sinistra e incorporata nel supporto scorrevole all'estremità destra. The structure consists of two segments. The self-weight is neglected in this example. 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'asta con le condizioni al contorno date è caricata dal momento torcente e dalla forza assiale. 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.
Analisi time history di una trave a sbalzo (sistema SDOF) eccitata da una funzione periodica. Vertical deformations and accelerations calculated with direct integration and modal analysis in RF‑/DYNAM Pro - Forced Vibrations are compared with the analytical solution.
Questo esempio serve come dimostrazione del vincolo del diaframma. 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'asta con una sezione trasversale quadrata è fissata all'estremità superiore. The rod is loaded by self-weight. For comparison, the example is also modeled with the concentrated force load, the value of which is equal to the gravity. The aim of this verification example is to show the difference between these types of loading, although the total loading force is equal.
Un compact disc (CD) ruota ad una velocità di 10.000 giri/min. Therefore, it is subjected to centrifugal force. The problem is modeled as a quarter model. Determine the tangential stress on the inner and outer diameters and the radial deflection of the outer radius.
Una struttura intelaiata a due piani a campata singola è soggetta a carichi sismici. 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 struttura reticolare è costituita da tre aste (una in acciaio e due in rame) unite da un'asta rigida. The structure is loaded by a concentrated force and a temperature difference. While neglecting self‑weight, determine the total deflection of the structure.
Un'asta di acciaio tra due supporti rigidi con uno spazio vuoto è caricata da una differenza di temperatura. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
Uno sbalzo di sezione trasversale rettangolare ha una massa alla fine. Furthermore, it is loaded by an axial force. Calculate the natural frequency of the structure. Neglect the self‑weight of the cantilever and consider the influence of the axial force for the stiffness modification.
Un oscillatore semplice è costituito dalla massa m (considerata solo nella direzione x) e dalla molla lineare di rigidezza k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Una molla elicoidale strettamente avvolta è caricata da una forza di compressione. The spring has middle diameter D, wire diameter d, and it consists of i turns. The total length of the spring is L. Determine the total deflection of the spring for the member model and one‑turn deflection for the solid model.
Una trave a quarto di cerchio con una sezione trasversale rettangolare è caricata per mezzo di una forza fuori dal piano. This force causes a bending moment, torsional moment, and transverse force. While neglecting self-weight, determine the total deflection of the curved beam.
Una colonna è composta da una sezione in calcestruzzo (rettangolo 100/200) e una sezione in acciaio (profilo 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.
Un sistema monomassa con dashpot è soggetto a una forza di carico costante. 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.
Utilizzando le tabelle del manuale AISC, determinare le resistenze a compressione e flessione disponibili e se la trave ASTM A992 W14x99 ha una resistenza disponibile sufficiente per supportare le forze assiali e i momenti mostrati nella Figura 1, ottenute da un'analisi del secondo ordine che include gli effetti P-𝛿.
Una struttura è composta da quattro aste reticolari, che sono incastonate nei vincoli esterni delle cerniere. 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. The self-weight is neglected in this example. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at given deflections.
Una struttura poco profonda simmetrica è composta da otto aste reticolari uguali, che sono incorporate nei supporti delle cerniere. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point when the snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. The self-weight is neglected in this example. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at the given deflections.
Una fune è caricata per mezzo di un carico 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.
Determina la resistenza a compressione assiale ammissibile di una trave lunga 2,5 m di varie sezioni trasversali in lega 6061-T6 e vincolata lateralmente per evitare instabilità attorno al suo asse debole secondo il Manuale di verifica dell'alluminio 2015.
Questo esempio di verifica si basa sull'esempio di verifica 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.
Una membrana cilindrica viene tesa mediante precompressione isotropa. 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.