This test is used to validate the following attributes:
You will use a 1D mesh. 

Reference: Guide de validation des prologiciels de calcul des structrues, AFNOR technique, pp 200201, 1990, SFM. 

SpecificationsGeometry Specifications

Young Modulus (material): 

Poisson's Ratio (material): 

Density: 

Mesh Specifications: 

Restraints: 
The beam bending differential equation (EulerBernoulli theory):
The frequencies are given by the following formula:
where:
So the exact frequencies are:
The computed results for different numbers of elements are
presented in the table below.
Mode 
Analytical solution [Hz] 
8 elements 
16 elements 
32 elements 
64 elements 
1 and 2 
54.18 
52.94 
53.83 
54.05 
54.10 
3 and 4 
171.94 
165.44 
169.81 
170.93 
171.21 
5 and 6 
384.40 
366.74 
377.55 
380.39 
381.11 
7 and 8 
697.24 
661.30 
680.41 
685.59 
686.94 
9 and 10 
1112.28 
1048.83 
1077.38 
1085.04 
1087.13 
To Perform the Test:
The SlenderBeamVariable.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of beam elements. Proceed as follow:
Open the CATAnalysis document.
Enter the Advanced Meshing Tools workbench.
In the specification tree, doubleclick the mesh part. The Global Parameters dialog box appears.
Change the mesh specifications as indicated in the Analysis Specifications table.
Compute the case in the Generative Structural Analysis workbench.