A membrane is stretched by means of isotropic prestress between two radii of two concentric cylinders not lying in a plane parallel to the vertical axis. Find the final minimum shape of the membrane - the helicoid - and determine the surface area of the resulting membrane. K tomu slouží přídavný modul RF-FORM-FINDING. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A cylindrical membrane is stretched by means of isotropic prestress. Find the final minimal shape of the membrane - catenoid. Stanovíme maximální radiální průhyb membrány. 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.
A symmetrical shallow structure is made of eight equal truss members, which are embedded into hinge supports. 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. Vlastní tíha se v tomto příkladu nezohledňuje. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at the given deflections.
A spherical balloon membrane is filled with gas with atmospheric pressure and defined volume (these values are used for FE model definition only). Determine the overpressure inside the balloon due to the given isotropic membrane prestress. K tomu slouží přídavný modul RF-FORM-FINDING. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
Konstrukce se skládá ze čtyř prutů, které jsou uloženy na kloubových podporách. 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.
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. Maximální jmenovitá výška prutu je 18 palců. 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.
Zakřivený nosník se skládá ze dvou nosníků obdélníkového průřezu. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
Tenkostěnná sférická nádoba je vystavena vnitřnímu tlaku. While neglecting self‑weight, determine the von Mises stress and the radial deflection of the vessel.
Konzola s kruhovým průřezem je namáhána soustředěnou ohybovou silou a kroutícím momentem. The aim of this verification example is to compare the reduced stress according to the von Mises and Tresca theories.
Dvouvrstvá silnostěnná nádoba s otevřeným koncem je zatížena vnitřním a vnějším tlakem; proto nevzniká žádné osové napětí. While neglecting self‑weight, the radial deflection of the inner and outer radius, and the pressure (radial stress) in the middle radius is determined.
A compact disc (CD) rotates at a speed of 10,000 rpm. Je tak vystaven odstředivé síle. 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.
Uvažujeme tuhou lešenářskou trubku, která je ve spodní části fixně podepřena uzlovou podporou pro lešení a zatížena momentem i silou. Calculate the maximum radial deflection by exceeding the capacity of the scaffolding support.
Ve spodní části jsou upevněny čtyři sloupy, které jsou nahoře spojeny tuhým blokem. 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.
Široká deska s otvorem je zatížena v jednom směru tahovým napětím. The plate width is large with respect to the hole radius, and it is very thin, considering the state of the plane stress.