Benderized tolerance analysis
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 This topic has 5 replies, 4 voices, and was last updated 15 years, 9 months ago by Heebeegeebee BB.

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August 3, 2006 at 7:35 pm #44222
Can some one explain what is benderized tolerance study
0August 5, 2006 at 1:12 am #141427Mr. Bender wrote a SAE paper in the 1960s about doing a statistical stack calculation to determine the expected overall dimension for sets of individual dimensional tolerances occurring in a linear path. His recommendation basically was to multiply the square root of the sum of the squared tolerance values by 1.5. Hence when a linear tolerance stack outcome is Benderized the RSS (root sumofsquared) tolerances has been multiplied by 1.5.
Basically if you took your tolerances and generated a large set of random normally distributed values for each one within its limits,
then you randomly picked one from each of the tolerance value groups, and then added them together and repeated the process until the individual groups were gone,
you would end up with a distribution of stacked tolerance sums. It would be normally distributed and the spread between its +& 3 sigma limits would equal the RSS value of the tolerances stacked. That process of randomizing and adding the random parts is called a MonteCarlo analysis. If RSS = +/ 3 sigma limits — Benderizing it makes it +/ 4.5 sigma limits.
Paul0August 7, 2006 at 6:08 am #141469
Mike CarnellParticipant@MikeCarnell Include @MikeCarnell in your post and this person will
be notified via email.You forgot to tell the full story …
Mikel Harry had been playing checkers late one night over a few beers. He was feeling a bit groggy and suddenly it hit him like a bolt of lightning … “checkers pieces – stacks of disks – Benderizing – 1.5 sigma – processes – six sigma tables”. He thought: “There must be plenty of people out there, who are at least as stupid as I am. They will believe anything. No one questions anything these days. I can make a fortune out of this ! “
… and of course, the rest is history.0August 7, 2006 at 8:12 pm #141512
Mike CarnellParticipant@MikeCarnell Include @MikeCarnell in your post and this person will
be notified via email.Paul,
Just as an FYI that wasn’t my post. It was entertaining but it still wasn’t my post.
Good luck0August 7, 2006 at 11:09 pm #141519
Mike CarnellParticipant@MikeCarnell Include @MikeCarnell in your post and this person will
be notified via email.Paul,
It’s a good thing Mikel Harry wasn’t playing poker instead of checkers … otherwise jokers like us six sigma consultants would have been dealt with long before now.
As I said in my last post, I’m not myself today.
0August 9, 2006 at 4:51 pm #141596
Heebeegeebee BBParticipant@HeebeegeebeeBB Include @HeebeegeebeeBB in your post and this person will
be notified via email.When I read, “Benderized Tolerance”, I couldn’t get this image out of my head. Ahh, life’s simple pleasures…
;)0 
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