A pipe with a tubular cross-section is loaded by internal pressure. This internal pressure causes axial deformation of the pipe (the Bourdon effect). Determine a deformação axial do ponto de extremidade do tubo.
A simply supported beam is loaded by pure bending. Devido à encurvadura por flexão, tente determinar a carga de encurvadura crítica e o fator de carga correspondente.
A column is composed of a concrete section (rectangle 100/200) and a steel section (profile I 200). Está sujeito a uma força de compressão. 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.
A cantilever is loaded by a transversal and an axial force on the right end and is fully fixed on the left end. O problema é descrito pelo seguinte conjunto de parâmetros. The problem is solved by using the geometrically linear analysis, second-order analysis, and large deformation analysis.
Uma viga curvada é constituída por duas vigas de secção retangular. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
A thin rectangular orthotropic plate is simply supported and loaded by uniformly distributed pressure. The directions of axes x and y coincide with the principal directions. Determine a flecha máxima do painel, sem considerar o peso próprio.
Um oscilador simples é composto por massa m (a ser considerada apenas na direção x-) e pela mola linear com a rigidez k. The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
This verification example compares wind load calculations on a duopitch roof building using the ASCE 7-16 standard and using CFD simulation in RWIND Simulation. O edifício é definido conforme o esboço e o perfil da velocidade do fluxo contido na norma ASCE 7-16.
A truss structure consists of three rods (one steel and two copper) joined by a rigid member. The structure is loaded by a concentrated force and a temperature difference. Determine a flecha total da estrutura, sem considerar o peso próprio.
This verification example compares wind load calculations on a flat roof building using the ASCE 7-16 standard and using CFD simulation in RWIND Simulation. O edifício é definido conforme o esboço e o perfil da velocidade do fluxo contido na norma ASCE 7-16.
Este exemplo serve para ilustrar o plano. 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.
A placa retangular simplesmente apoiada é sujeita a diferentes tipos de carga. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
A viga de aço carregada axialmente com uma secção quadrada está apoiada sobre uma articulação numa das extremidades e sobre uma mola na outra extremidade. 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.
O modelo da estrutura é constituído por duas vigas de treliça que estão incorporadas nos apoios de articulação. The structure is loaded by concentrated force. The self-weight is neglected. Determine the relationship between the loading force and the deflection, considering large deformations.
A member with the given boundary conditions is loaded by torsional moment and axial force. 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. Compare estes valores ao mesmo tempo que aceita ou não considera a influência da força axial. The verification example is based on the example introduced by Gensichen and Lumpe.
A structure made of I-profile trusses is supported on both ends by spring sliding supports and loaded by transversal forces. O peso próprio não é considerado neste exemplo. 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.
A bimetallic strip is composed of invar and copper. The left end of the bimetallic strip is fixed, and the right end is free, loaded by temperature difference. Determine a flexão da tira bimetálica (na extremidade livre), sem considerar o peso próprio.
A closely coiled helical spring is loaded by a compression force. The spring has middle diameter D, wire diameter d, and it consists of i turns. O comprimento total da mola é L. Determine the total deflection of the spring for the member model and one‑turn deflection for the solid model.
Nas duas extremidades, está fixado um bloco tridimensional de material elástico-plástico. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai-Wu plasticity theory.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. A superfície plástica é descrita de acordo com a teoria da plasticidade de Tsai-Wu.
Uma estrutura plana simétrica é constituída por oito treliças idênticas encastradas em apoios articulados. 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.
Uma estrutura é constituída por quatro treliças encastradas em apoios articulados. 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.
Este exemplo é uma modificação do Exemplo de verificação 0061; a única diferença é que o material do recipiente é incompressível. 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.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. A superfície plástica é descrita de acordo com a teoria da plasticidade de Tsai-Wu.
Nas duas extremidades, está fixado um bloco tridimensional de material elástico-plástico com endurecimento. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai‑Wu plasticity theory.
Determine a flecha máxima de quatro pilares fixados na parte inferior, os quais estão ligados por um bloco rígido na parte superior. 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.
A vertical cantilever with a square cross-section is loaded at the top by tensile pressure. A consola é feita de um material isotrópico. Calculate the deflection.
Defina o momento fletor que irá curvar a barra na extremidade livre da consola. Neglecting the beam's self-weight, assuming the large deformation analysis, and loading the cantilever with the moment, determine its maximum deflections.
A cable is loaded by means of a uniform load. Isto resulta numa forma deformada de um segmento circular. 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.
Na extremidade superior, está fixada uma barra com uma secção quadrada. 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.