This test lets you check analysis results for the thermal expansion of a beam, in the context of a static case. You will use 3D mesh with tetrahedron and hexahedron elements. 

Reference: Thermal Expansion Theory 

SpecificationsGeometry Specifications

Young Modulus (material): 

Poisson's Ratio (material): 

Thermal Expansion Coefficient: 

Mesh Specifications: 

Restraints:


Loads:
The environment temperature is T_{0} = 300 K 
Case 1: 

Case 2: 

Case 3: 
The computed results are the same for the following elements: TE4, TE10, HE8, HE20, TR3, TR6, QD4, QD8, bar (linear and parabolic):
Case 
Quantity 
Analytical solution 
Computed results 
Case 1 
U_{th}[mm] 
0.2925 
0.2925 
Case 2 
σ_{22 }[MPa] 
58.5 
58.5 
Case 3 
U_{th} U_{Fy }[mm] 
0 
0 
To Perform the Test:
The Thermal_expansion_of_a_beamTE10.CATAnalysis document presents the complete analysis of this case, computed with a parabolic tetrahedron elements (TE10).
The Thermal_expansion_of_a_beamHE20.CATAnalysis document presents the complete analysis of this case, computed with a mesh formed of parabolic hexahedron elements (HE20).
To compute the case with linear elements, proceed as follow:
Open one of the CATAnalysis documents.
Enter the Advanced Meshing Tools workbench.
In the specification tree, doubleclick the mesh:
The Global Parameters dialog box appears. 
Select the Linear element type.
Compute the case in the Generative Structural Analysis workbench.