Una struttura è costituita da una trave con sezione a I e da due travi reticolari tubolari. The structure contains several imperfections and it is loaded by the force Fz. Il peso proprio è trascurato in questo esempio. Determine the deflections uy and uz and axial rotation φx at the endpoint (Point 4). L'esempio di verifica si basa sull'esempio introdotto da Gensichen e Lumpe.
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.
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 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.
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 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.
Uno sbalzo con profilo a I è supportato sull'estremità sinistra e caricato dalla coppia. 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).
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. Il peso proprio è trascurato. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.
Una trave in acciaio con una sezione trasversale quadrata è caricata con una forza assiale e un carico distribuito. The image shows the calculation of the maximum bending deflection and critical load factor according to the second-order analysis.
Una trave in acciaio caricata assialmente con una sezione trasversale quadrata è bloccata a un'estremità e supportata da una molla all'altra. 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.
Un blocco tridimensionale in materiale elastico-plastico è fissato ad entrambe le estremità. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai-Wu plasticity theory.