This test lets you check analysis results for a beam with a static preload. You will use a 1D mesh. 

Reference: SFM, Afnor Technique, Guide de validation des prologiciels de calcul de structures, pp192193. 

SpecificationsGeometry Specifications

Young Modulus (material): 

Poisson's Ratio (material): 

Density: 

Mesh Specifications: 

Restraints (Userdefined): 

Loads:

The analytical solution is:
The table below presents the analysis results. Relative errors are listed:
Load 
Fundamental natural mode of vibration 
Frequencies [Hz] 
Relative errors [%] 

Analytical results 
Computed results 

Fx=0 
Bending mode 1 
28.702 
28.694 
0.03 
Bending mode 2 
114.807 
114.701 
0.09 

Fx=10^{5}N 
Bending mode 1 
22.434 
22.428 
0.03 
Bending mode 2 
109.08 
108.981 
0.09 
To Perform the Test:
The Modal_analysis_beam_with_axial_load.CATAnalysis document presents a complete analysis of this case, computed with a load of 10^{5} N.
To compute this case, proceed as follow:
Open the CATAnalysis document.
Compute the case and generate an image called Deformed mesh.
To compute the unloaded case, change in this CATAnalysis the value of the distributed force.