Calculate Pb (bending stress) linearization
Calculate Pb (bending stress) linearization
(OP)
thread292-95338: Correct Interpretation of Stress Linearization Ansys/Sec VIII
Hi, I need some help. I have to calculate the stress bending tensor in a SCL (stress classification line), I have the stress tensor at the SCL but now I have to apply this:
σib=(∫σi(x-t/2)dx)/(t2/6)
How can I do this?.
I have 6 σi, the distance between Node 1 and Node 2 is the same for all the nodes (0.0018). So, I don't know what is t and x terms at the formule.
Hi, I need some help. I have to calculate the stress bending tensor in a SCL (stress classification line), I have the stress tensor at the SCL but now I have to apply this:
σib=(∫σi(x-t/2)dx)/(t2/6)
How can I do this?.
I have 6 σi, the distance between Node 1 and Node 2 is the same for all the nodes (0.0018). So, I don't know what is t and x terms at the formule.





RE: Calculate Pb (bending stress) linearization
x is the distance along the SCL from the surface
These terms are defined in 5-A.7 Nomenclature
Make sure that you are compliant with 5-A.4.1.2 Step 2(a).
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
Say you have n+1 nodes along the SCL, number them from 0 to n: then you have x[n]-x[0]=t, x[i+1]-x[i]=dx. Now you know the stress components at the nodes σc[i] for c=1..6 and i=0..n. The integral will be (with dx not necessarily constant):
σcb=(t2/6)*Σ1n(σc[i]+σc[i-1])/2*(x[i]+x[i-1]-t)/2*(x[i]-x[i-1])
prex
http://www.xcalcs.com : Online engineering calculations
http://www.megamag.it : Magnetic brakes and launchers for fun rides
http://www.levitans.com : Air bearing pads
RE: Calculate Pb (bending stress) linearization
I had a mistake. t=0.02 and dx=0.0018, I have 11 nodes. My values are:
NOEUD SIXX SIYY SIZZ SIXY SIXZ SIYZ
N1 -9.35135774870612E+03 1.44904368707696E+04 5.46195550842431E+04 2.13903010629624E+02 0 0
N2 -3.10130407542474E+02 3.04631426573855E+04 4.84247495421045E+04 2.16978847517025E+02 0 0
N79 -8.23328643101347E+02 2.90061817701311E+04 4.89417817923215E+04 4.55949913709594E+02 0 0
N80 -1.67184364329331E+03 2.74089218443930E+04 4.93754457437592E+04 8.28238349733271E+02 0 0
N81 -2.55136744117160E+03 2.57907213966972E+04 4.98431076755923E+04 1.09774457590994E+03 0 0
N82 -3.46687351487052E+03 2.41560638632808E+04 5.03478864434795E+04 1.26430654050799E+03 0 0
N83 -4.42341779551139E+03 2.25091570337280E+04 5.08931682065791E+04 1.32688783439494E+03 0 0
N84 -5.42627403378603E+03 2.08541301217865E+04 5.14826599584353E+04 1.28355094035272E+03 0 0
N85 -6.48112800108697E+03 1.91951719304120E+04 5.21204195948152E+04 1.13142101197749E+03 0 0
N86 -7.59424380238696E+03 1.75367178623852E+04 5.28109169112810E+04 8.66619176866407E+02 0 0
N87 -8.77262292509850E+03 1.58836565594585E+04 5.35591124447636E+04 4.84249463335018E+02ç 0 0
for each node I need the stress bending tensor (6 component). SIXZ and SIYZ are 0 because it is an axysimetric model.
Can you show me how can I do the integral?. Remember I need the bending stress for each component of each node. It is not 1 per node. I need 6.
Thank you so much.
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
How to do the integral is in my previous post and in the first post by TGS4. You need to be more confident with mathematical symbols if you need to make a numerical integration, otherwise you won't know what you get.
prex
http://www.xcalcs.com : Online engineering calculations
http://www.megamag.it : Magnetic brakes and launchers for fun rides
http://www.levitans.com : Air bearing pads
RE: Calculate Pb (bending stress) linearization
Regards
RE: Calculate Pb (bending stress) linearization
Then yo combine them into an invariant as described by 5-A.4.1.2 Step 2(a).
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
I think I have to use the trapezoidal method but I don't know how to.
RE: Calculate Pb (bending stress) linearization
prex
http://www.xcalcs.com : Online engineering calculations
http://www.megamag.it : Magnetic brakes and launchers for fun rides
http://www.levitans.com : Air bearing pads
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
Because, the engineers of PVENG make graphics showing the SCL line at the x axis and for the y axis they show the Pm+Pb stress, for each node of the line, like this image.
So, what means Pm+Pb in the graphic if there is just one Pb.
http://pveng.com/fea-stress-analysis/notes/stress-...
Thanks for your help.
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
My advice is to deepen your knowledge of the theory of the linearization procedure by reading some related texts.
prex
http://www.xcalcs.com : Online engineering calculations
http://www.megamag.it : Magnetic brakes and launchers for fun rides
http://www.levitans.com : Air bearing pads
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
RE: Calculate Pb (bending stress) linearization
Also I saw a post from you TGS4:
"When I said that ANSYS linearization doesn't follow the Code methodology, I mean that it does not follow the procedure in 5.A.4.1.2., which is a mandatory part of the new 2007 Edition of Division 2"
So I wish know what is the difference.
thanks
RE: Calculate Pb (bending stress) linearization