Method to obtain Torsion Constant (structural)

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SUMMARY

The discussion centers on calculating the Torsion Constant (K) for plate girders, specifically addressing the misconception that J (polar moment of inertia) can be derived from Ix + Iy. The correct formula for K is K = (1/3) * summation(b*t^3), where b is the length of each plate component and t is the thickness. Users also seek software recommendations for calculating J and Ixx, Iyy, with ShapeDesigner mentioned as a viable option. The Batho-Bredt theory is highlighted as a relevant resource for further understanding torsion constants.

PREREQUISITES
  • Understanding of Torsion Constants in structural engineering
  • Familiarity with plate girder design and analysis
  • Knowledge of polar moment of inertia (J) and its applications
  • Experience with structural analysis software tools
NEXT STEPS
  • Research the Batho-Bredt theory for torsion analysis
  • Explore the capabilities of ShapeDesigner for calculating torsion constants
  • Investigate other software options for torsion constant calculations
  • Study the book "Advanced Applied Stress Analysis" by C.T.F. Ross for in-depth knowledge
USEFUL FOR

Structural engineers, mechanical engineers, and students involved in the design and analysis of plate girders and torsional components will benefit from this discussion.

Su Solberg
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Hi every one.

I just wonder whether using Ix+Iy = J is a suitable method to calculate the Torsion Constant of a plate girders (full penetration butt weld at connection section)

Since, as stated at wiki, the polar moment of inertia is only identical to J for circle tube and rod.

p.s. is there any software/calculation method that i can obtain the J and Ixx,Iyy immediately.

Thanks for your kind help in advence.
 
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No, J = Ix + Iy is not suitable, in this case. In this case, torsional constant (sometimes called K, instead of J) is K = (1/3)*summation(b*t^3), where b = length of each plate component in the cross section, and t = thickness of each plate component.
 
nvn said:
No, J = Ix + Iy is not suitable, in this case. In this case, torsional constant (sometimes called K, instead of J) is K = (1/3)*summation(b*t^3), where b = length of each plate component in the cross section, and t = thickness of each plate component.

Thanks for your quick reply, brother nvn.
But i think that's for opened thin tube.

The J that I would like to find is as attached.
Btw, could you suggest some notable book name/web-site that I can refer to ?

Thanks again for your kind assistance.
 

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Due to post 1, I thought your cross section was open, but now from post 3 I see it is not. I do not have an accurate formula now.
 
nvn said:
Due to post 1, I thought your cross section was open, but now from post 3 I see it is not. I do not have an accurate formula now.

Thanks for your reply.
I wonder what books/ Software I should find to obtain the J?
 
Su Solberg said:
Thanks for your reply.
I wonder what books/ Software I should find to obtain the J?
There are a few specialized software to compute the torsion and warping constant. Just Google "torsion constant software". I have successfully used ShapeDesigner in a previous job.
 
i did a search for "Solidworks torsion constant" to see if there was a way to do it with solidworks/add-ins. i didn't find a way to do it with solidworks but the first hit is to another forum where they discuss it including many programs others have used for that purpose. i don't know if the moderators care if i link to another forum so i will let you find it with that search.

also it seems that the Batho-Bredt theory could be helpful. i don't have the resources or know how to help with that though. there is a google books link that talks about it (5.6 and beyond): http://books.google.com/books?id=hG...&resnum=3&ved=0CBsQ6AEwAg#v=onepage&q&f=false

another also, i have access to the book: Advanced Applied Stress Analysis by C.T.F. Ross; it talks about the torsional constant and batho-bredt theory.
 
Last edited:
Nice find, Lazer57. Su Solberg, if you post the dimensions of your cross section, we could play around with it, and try the Bredt-Batho formula.
 

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