# Verification Examples

## 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.

## Bending Vibrations with Axial Force

VE 0115

18 July 2017

A cantilever of rectangular cross‑section has a mass at its end. 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 axial force for the stiffness modification.

## Influence of the Normal Force on the Torsion

VE 0054

8 January 2016

Member with the given boundary conditions is loaded with the moment and the axial force. Neglecting it's self-weight, determine beam's maximum torsional deformation as well as its inner torsional moment defined as a sum of a primary torsional moment and torsional moment caused by the normal force. Provide a comparison of those values while assuming or neglecting the influence of the normal force.

## Cantilever Under Torsion Without Warping

VE 0050

8 January 2016

A thin-walled cantilever of QRO-profile is fully fixed on the left end, and the warping is enabled. The cantilever is subjected to a torque.

## Bending Cantilever with Axial Force

VE 0042

8 January 2016

A cantilever is loaded by a transversal and an axial force on the right end and it is fully fixed on the left end. The problem is described by the following set of parameters. The problem is solved by means of the geometrically linear analysis, second order analysis and large deformation analysis.

## Uniaxial Bending with Pressure

VE 0048

8 January 2016

A structure made of I-profile is fully fixed on the left end and embedded into the sliding support on the right end. The structure consists of two segments.

## Pinned Beam Subjected to Bending

VE 0051

23 December 2015

Beam pinned at the both ends is loaded with the concentrated force at the middle. Neglecting its self-weight and shear stiffness, determine beam's maximum deflection, normal force and moment at the mid-span assuming the second and the third order theory.

## Twisted Beam Under Complex Loads with Warping

VE 0049

23 December 2015

A beam is fully fixed (warping is restraint) on the left end and supported by the fork support (warping is enabled) on the right end. The beam is subjected to a torque, longitudinal force and transverse force.

## Cantilever Under the Torsion with Warping

VE 0053

23 December 2015

A cantilever of I-profile is supported on the left end and it is loaded by the torque. The aim of this example is to compare the fixed support with the fork support and to investigate the behaviour of some representative quantities. The comparison with the solution by means of plates is also made.

## Stability of a Beam Subjected to the Combined Loading

VE 0004

22 December 2015

A steel beam with a square cross-section is loaded with an axial force and a distributed loading. Calculation of the maximum bending deflection and the critical load factor according second order analysis.

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