ZAO
ZAO LINE - In love with longlining ZAO is a highly appreciated slackline: it has been designed based on feedback from some of our best longline and highline athletes. A flat waved central body and...
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Hi! Does the 50 meter longline kit come with webbing that has 2 sewn loops? Thanks! SIGMA is an element of statistical calculations, which allows to display a products’ guaranteed strength value throughout its manufacturing process. Therefore, it is related to product safety.
During the testing process, the greater the differences between the 10 recorded values, the higher turns out the sigma value.
For example, for 10 carabiners tested, their ten recorded values are usually different and not the exact same:
24,9 | 25,9 | 26,2 | 25,6 | 25,8 | 24,7 | 25,5 | 24,7 | 26,0 | 25,7 kN
So which value to take into account to display the MBS (Minimum Breaking Strength) value?
We first calculate the average:
(24,9 + 25,9 + 26,2 + 25,6 + 25,8 + 24,7 + 25,5 + 24,7 + 26,0 + 25,7) / 10 = 25,5 kN
We then calculate the variance:
24,9 - 25,5 = - 0,6 (-0,6)2 = 0,36
25,9 - 25,5 = - 0,4 ( 0,4)2 = 0,16
...and so on for the 10 measured values.
We add those 10 results:
0,36 + 0,16 + 0,49 + 0,01 + 0,09 + 0,64 + 0,064 + 0,25 + 0,04 = 2,68
And we create the average:
2,68 / 10 = 0,268
The variance is even to : 0,268
SIGMA (standard deviation) = square root of 0,268 = 0,5176
The maximum value displayed on the carabiner would be:
average of 10 carabiners = 25,5 kN
SIGMA = - 0,5176
____________________________
Displayed Value = 24,0724 kN
What you should know in particular about the 3 SIGMA safety margin?
We use the 3 SIGMA method to calculate the MBS.
We multiply the SIGMA for 3 (this is why it is called “3 SIGMA”) to boost the prudency in the MBS calculation.
Taking the 10 previous carabiners as an example:
The average of those 10 carabieners is 25,5kN
3 SIGMA (3 x 0,5176) = - 1,5528
_____________________________
Displayed value = 23,0472 kN
Our choice aims to maximize the safety of our users while using our products.
Source @Petzl
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