# Verification Examples

## Eccentric Transverse Force

VE 0210

3 May 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 May 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.

## Spring with Clearance

VE 0119

3 May 2019

A single-mass system with clearance and two springs is initially deflected. Determine the natural oscillations of the system - deflection, velocity and acceleration time course.

## Eccentric Axial Force

VE 0209

3 May 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 April 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 February 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.

## Plastic Material Oscillations

VE 0124

14 November 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.

## Catenoid

VE 0207

14 November 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.

## Euler Buckling

VE 0096

14 November 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.

## Beam in Axial Compression According to ADM

VE 1007

5 November 2018

Determine the allowable axial compressive strength of a pinned 8 ft long beam of various cross-sections made of Alloy 6061-T6 and laterally restrained to prevent buckling about its weak axis in accord with the Aluminium Design Manual.

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