Una struttura costituita da un profilo a I è incorporata nei supporti delle forche. The axial rotation is restricted on both ends while warping is enabled. The structure is loaded by two transverse forces in the middle. The verification example is based on the example introduced by Gensichen and Lumpe.
Un puntone con una sezione trasversale circolare è supportato secondo quattro casi base di instabilità di Eulero e soggetto a forza di pressione. Determine the critical load.
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 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.
Un tubo con una sezione trasversale tubolare è caricato dalla pressione interna. This internal pressure causes axial deformation of the pipe (the Bourdon effect). Determine the axial deformation of the pipe endpoint.
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.
Considera una trave ASTM A992 W 18×50 per campata e carichi permanenti e permanenti uniformi come mostrato nella Figura 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.
Una fune molto rigida è sospesa tra due supporti. Determine the equilibrium shape of the cable (the catenary), consider the gravitational acceleration, and neglect the stiffness of the cable. Verify the position of the cable at the given test points.
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 sottile anello circolare di sezione trasversale rettangolare è esposto a pressione esterna. Determine the critical load and corresponding load factor for in-plane buckling.
Un sistema monomassa con dashpot è soggetto a una forza di carico costante. Determine the deflection and velocity of the dashpot endpoint in the given test time.
Una trave curva è costituita da due travi a sezione rettangolare. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
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 striscia bimetallica è composta da invar e rame. The left end of the bimetallic strip is fixed, and the right end is free, loaded by temperature difference. While neglecting self-weight, determine the deflection of the bimetallic strip (free end).
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.
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.
Una piastra rettangolare semplicemente supportata è soggetta a diversi tipi di carico. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
Questo esempio è una modifica dell'esempio di verifica 0061; l'unica differenza è che il materiale della nave è incomprimibile. An open‑ended, thick‑walled vessel is loaded by both inner and outer pressure. While neglecting self‑weight, the radial deflection of the inner and the outer radius is determined.
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.
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.
L'obiettivo di questo esempio è quello di dimostrare un processo irreversibile causato dall'attrito. After the loading and unloading, the end-point is in a different position than where it was at the beginning. Determine the movement of the node in the X direction.
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.
Una trave di legno rinforzata da due piastre di acciaio alle estremità è caricata da pressione. 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.
Quattro colonne sono fissate nella parte inferiore e collegate da un blocco rigido nella parte superiore. 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.
Determina il momento flettente che, agendo all'estremità libera dello sbalzo, piegherà l'asta in una forma circolare. 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. 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.