# Przykłady obliczeniowe

## Eccentric Transverse Force

VE 0210

3. maja 2019

A console made of round bar is loaded by means of eccentric transverse force. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.

## Eccentric Uniform Load

VE 0211

3. maja 2019

A console made of round bar is loaded by means of eccentric uniform load. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.

## Eccentric Axial Force

VE 0209

3. maja 2019

A console made of round bar is loaded by means of eccentric axial force. Determine the maximal vertical deflection of the console using geometrically linear and second-order analysis.

## Lateral Buckling of a Beam in Pure Bending

VE 0095

30. kwietnia 2019

A simply supported beam is loaded by means of pure bending. Determine the critical load and corresponding load factor due to lateral buckling.

## Helicoid

VE 0208

10. lutego 2019

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 minimal shape of the membrane - the so-called helicoid, and determine the surface area of the resulting membrane. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in analytical solution, also self-weight is neglected in this example.

## Catenoid

VE 0207

14. listopada 2018

A cylindrical membrane is stretched by means of isotropic prestress. 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 analytical solution, also self-weight is neglected in this example.

## Plastic Material Oscillations

VE 0124

14. listopada 2018

This verification example is based on Verification Example 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.

## Euler Buckling

VE 0096

14. listopada 2018

A strut with circular cross-section is supported according to four basic cases of Euler buckling and it is subjected to pressure force. Determine the critical load.

## Balloon – Prestressed Membrane

VE 0206

8. października 2018

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. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in analytical solution, self-weight is also neglected in this example.

## Eight-Member Symmetric Shallow Truss Snap-Through

VE 0201

8. października 2018

A symmetrical shallow structure is made of eight equal truss members, which are embedded into hinge supports. The structure is loaded by the concentrated force and alternatively by the 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 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.

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