# Benderized tolerance analysis

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• #44222

Sankar
Participant

Can some one explain what is benderized tolerance study

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#141427

Sorour
Participant

Mr. Bender wrote a SAE paper in the 1960s 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 sum-of-squared) 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 Monte-Carlo analysis. If RSS =  +/- 3 sigma limits — Benderizing it makes it +/- 4.5 sigma limits.

Paul

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#141469

Mike Carnell
Participant

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.

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#141512

Mike Carnell
Participant

Paul,
Just as an FYI that wasn’t my post. It was entertaining but it still wasn’t my post.
Good luck

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#141519

Mike Carnell
Participant

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.

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#141596

Heebeegeebee BB
Participant

When I read, “Benderized Tolerance”, I couldn’t get this image out of my head.   Ahh, life’s simple pleasures…
;-)

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