Torsional constant
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Posted by: ollagnij ®

11/03/2006, 10:45:07

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Dear all,

I would like to calculate the tosional consant J (not the poar moment of inertia) of a beam of this shape:

d
<---------------------------->
......._____________________
____!................................!_____ t1
!................................................! t2
!___..................................._____!
......!___________________! t1

..............b
.......<------------------>

(it is very difficult to draw !!! Points are like blanks...) Hope you can see something !

I found a website giving some torsion factors for different shapes but not mine... Actually the geometry of my beam corresponds to an I beam with tw>b (see drawing of the website).


Does anybody know the formula ? or which Integral I should use ?

Thank you for your answers !!!!

Jean-Baptiste







Modified by Administrator at Wed, Nov 08, 2006, 22:07:26


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Re: Torsional constant Yell
Re: Torsional constant -- ollagnij Post Reply Top of thread Forum
Posted by: cakub ®

11/08/2006, 17:40:49

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You don't need to use any integral. Just tables of polar moments of inertia of your I beam.
The angle of twist Fi of a beam that has constant polar moment of inertia Jp [m^4], length L[m]and the torque T[N.m] applied at both ends of the beam is
Fi=T.L/(G.Jp). The torsional spring constant of such a beam is found from the condition T=Kfi*Fi. Comparing these two expressions you get Kfi=G.Jp/L[N.m/rad].
If your beam has several (say n parts) of uniform Jpi and lengths Li, then you have to calculate torsional constant for each part first. You will get Kfi1, Kfi2,....,Kfin. These parts are in fact torsional springs in series. Therefore resulting torsional spring constant K of whole beam will be found from
1/K=1/Kfi1+1/Kfi2+.....+1/Kfin








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Re: Re: Torsional constant
Re: Re: Torsional constant -- cakub Post Reply Top of thread Forum
Posted by: phatso86 ®

07/05/2007, 11:52:32

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i had to register to correct the last statement

the polar moment of inertia is NOT the torsional constant
you will be really screwed up if u assume it is for anything besides a circular cross section








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