Torsion constant formula use in Hypermesh

Altair Forum User
Altair Forum User
Altair Employee
edited October 2020 in Community Q&A

Hello everyone,

 

I am working on an FE model containing beams that have a square (or rectangular) cross-section. As a first example, I used a beam with a square cross-section. Each side measures 20e-2m. When I export my model in LS-DYNA format, I see that a *SECTION_BEAM keyword is created. I understand well the first parameters from secid to itt, but I can't understand how the j parameter is computed.

 

Using Hypermesh for a square cross-section with a 20e-2m side, I have J=2.25310E-4m^4. However, when I try to find this value again using formulas from the wikipedia page (https://en.wikipedia.org/wiki/Torsion_constant), I can't find the exact same value. Depending on the used formula, I either find J = 2.25000E-4 m^4, J = 2.25600E-4 m^4 or J = 2.25333E-4 m^4. These values are close (especially the last one), but still they're not equal to the one given by Hypermesh. Right now, it might not be seen as a problem, but what if the values become too different if I use other cross-section values? That's why I need to understand what Hypermesh does.

 

I have searched the Hypermesh documentation but I didn't find any information about how this value is computed. And I need it to understand this because I want to run comparisons between commercial solvers and personal codes.

 

Does anyone have a hint about how to find this value? Thank you in advance,

 

Corentin.

Tagged:

Answers

  • Q.Nguyen-Dai
    Q.Nguyen-Dai Altair Community Member
    edited February 2018

    Here's a square 0.2x0.2:

    <?xml version="1.0" encoding="UTF-8"?>HyperMesh_0_2x0.2_section.thumb.png.d847069005dd119fc4262b486b415f2a.png

     

    Data: 

    Unable to find an attachment - read this blog

  • Altair Forum User
    Altair Forum User
    Altair Employee
    edited February 2018

    Thank you, that's exactly what I was talking about :)/emoticons/default_smile.png' srcset='/emoticons/smile@2x.png 2x' title=':)' width='20' /> But here I can only see the final value, and not how it was computed, which was my question.

  • Sanjay Nainani_20973
    Sanjay Nainani_20973 New Altair Community Member
    edited February 2018

    Hello,

     

    You can go to help section where you can find the reference book from which the hyperbeam data is taken.

    Please see the below picture.

     

    <?xml version="1.0" encoding="UTF-8"?>image.thumb.png.1db09e91265b4fb5e6133f264e96ba50.png

    Thankyou

  • Q.Nguyen-Dai
    Q.Nguyen-Dai Altair Community Member
    edited February 2018

    From here : https://en.wikipedia.org/wiki/Torsion_constant

    For square section, you have:    J = 2.25 a^4 with a = 0.2/2 = 0.1m

    So: J = 2.25 E-4 m^4 ===> same value computed within Hypermesh. 

     

  • Altair Forum User
    Altair Forum User
    Altair Employee
    edited February 2018

    @Sanjay Nainani thank you, I think I missed this page because that was what I was looking for :)/emoticons/default_smile.png' srcset='/emoticons/smile@2x.png 2x' title=':)' width='20' />

     

    @Q.Nguyen-Dai thank you, I knew this page but these formulas are approximations from what I understand and I was looking for the exact formula :)/emoticons/default_smile.png' srcset='/emoticons/smile@2x.png 2x' title=':)' width='20' />