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Testing the difference in meshing to see how much it affects the results.

    Hello, today I have some free time so I have to write a blog on this topic. The matter of the story is that some people do not accept the results of FEA by beam mesh. So I have a doubt that it's actually a solid mesh in a three-dimensional beam shape. How accurate will it be? Today we will prove it.

    First of all, thanks to the trial version of Midas, for which I have compared the MeshFree software too.

    There are two types of specimens that we will be testing. It is a full line beam, 1 meter long, and a beam with a slit to insert the beam crosswise. which can be seen in Figure 1.

Fig.1 Dimension of the specimens.

    A simple test is that we lock one end of the beam and apply a force of 500 N on the other end.

The type of the main beam is a JIS G3466 Rectangular tube 200 x 100 x 6. and across the inserted beam is a Square tube 50 x 50 x 6

   The section properties of Rectangular Tube 200 x 100 x 6 as below.

Unit mass = 26.4 kg/m

Area = 33.63 cm²

Second moment of area; Ix = 1700 cm ⁴ , Iy = 577 cm ⁴

Radius of gyration; ix = 7.12 cm , iy = 4.14 cm

Elastic section modulus; Zx = 170 cm³ , Zy = 115 cm³

Plastic section modulus; Zpx = 213 cm³ , Zpy = 132 cm³ 

Torsional inertia = 1,420 cm ⁴

Torsional modulus constant = 200 cm³

and the section properties of Square Tube 50 x 50 x 6 as below.

Unit mass = 7.56 kg/m

Area = 9.633 cm²

Second moment of area; Ix = 29.5 cm ⁴ , Iy = 29.5 cm ⁴

Radius of gyration; ix = 1.75 cm , iy = 1.75 cm

Elastic section modulus; Zx = 11.8 cm³ , Zy = 11.8 cm³

Plastic section modulus; Zpx = 15.3 cm³ , Zpy = 15.3 cm³ 

Torsional inertia = 53.2 cm ⁴

Torsional modulus constant = 18.2 cm³