The UTS Method Explained – Part 2 – Fudge Factors
The UTS method takes the Ultimate Tensile Strength (UTS) of un annealed (i.e. hard) copper and multiplies it by a so-called “Safety Factor” to arrive at a safe allowable working stress for the copper.
This is completely fallacious as I’ll prove below.
Please note that some of the information below is borrowed from the article “The Yield Point Method ” by Les Smith and Alan Brown, published in Model Engineers & Workshop magazine in Volume 134, Issue 4765, June 2025 edition, page 26.
1. The Properties Of The Two Materials In Question; Hard Copper (UTS) Method and Annealed Copper (YPM) Are Totally Different.
Just look at the Stress/Strain curves for Cold Drawn and Annealed copper shown below:-

Clearly the mechanical properties for the two grades of copper are totally different. They might as well be different materials – as indeed they are – the only common denominator being in the name – copper.
But the UTS method takes the value of the UTS for hard copper and multiplies it by a so-called “safety factor” to arrive at a safe allowable working stress for annealed copper. Where is the engineering logic to take a mechanical property from one material and apply it to a different material?
These are the ‘Safety Factors” (SF) quoted:-
Example 1:- SF = 8
Example 2:- SF = 8
In his book Boilers and Boiler Making KN Harris quotes a Safety Factors of 10 (for stays) and 8 for boiler shells.
Henry Greenly in his book “Model Engineering” says
“In calculating the working strength of a cylindrical boiler a certain factor of safety is allowed. The usual factor is 8, which means that the working pressure is only one-eighth of the pressure which the boiler would stand before
it actually failed.”
To take his “which means that the working pressure is only one-eighth of the pressure which the boiler would stand before it actually failed.” this is erroneous because the boiler will fail at the Yield Point of annealed copper, not the UTS of hard copper.
Martin Evans in “The Model Steam Locomotive” says “The factor of safety has been taken at between 6 and 10, but 8 is generally thought to be adequate”.
“thought to be adequate”?! Not proven nor demonstrated to be adequate? This is supposed to be engineering where strength of materials is a known science.
Never mind the asides, the point is that the commonly adopted ‘Safety Factors” for the UTS method are in a range of 6 to 10. Quite a wide range.
Where Did These “Safety Factors” Come From?
If anyone knows please come forward.
But I’ve discovered something quite interesting.
If the UTS of hard copper is divided by the Yield Point of annealed copper, guess what?
The resulting ratio for three sources of information yield:-
4.7, 6.4 and 10.3.
Say a range from 5 to 10.
Isn’t it interesting that these are so close to the so-called “Safety Factors” of the promoters of the UTS method of 6 to 10.
Food for thought?
More coming in the next post.
PS
Here are the sources of information and the calculations for the ratios mentioned above:-
