When installing a black belt on either a V8 or a 1990 SE and follow the procedures specified
by Lotus you set the belt tension by frequency. No other value is provided by Lotus.
Correct for the V8... there is only one Lotus tension spec, and it uses the frequency method.
However, you have repeatedly mentioned your 1990 SE, and for the 4-cylinder's entire production life, the Lotus manuals have specified the T-belt tension in pounds measured with a Burroughs gauge. The frequency method came along after 4-cylinder production ended and after Lotus embraced the frequency method for the V8.
For the black belts on the 4-cylinder, the Lotus tension spec was 95 lbs, measured midway between the intake and auxiliary pulleys, with the crank at TDC. So there is a pounds (Burroughs) tension spec for your SE that doesn't involve frequency, but I guess you have a choice to ignore it.
The BLUE belt is a completely grassroots application for both the V8 and the 9XX 4-cylinder engines. There is no factory support for the Blue belts from either Lotus or Gates. Lotus simply is not going to invest more development engineering time & money into an engine that went out of production many years ago... no matter how good the new part is. But having said that, when JAE first introduced the Blue HTD belts for both the V8 and 4-cylinder engines, Lotus Cars plc purchased inventory from JAE. They knew a good thing when they saw it, but they weren't going to invest time & money into past engines. There is no Lotus or Gates tension spec for the Blue belts.
The only variable is a black belt versus a blue belt.
True for your test rig. But that doesn't mean there shouldn't be more factors considered.
By placing a blue belt on the same fixture from the black belt with the same force applied
to the bottom of the loop everything remains a constant and the only variable is the belt.
You are presuming that all the belts are created equal, and they are NOT. Each belt tooth shape, construction & materials has it's own tension needs, and lumping them together under one tension is a mistake.
First, the belt tension must be correct for a running engine at normal operating temperature... ie, hot! That's a given and not debatable. But the Lotus tension specs are given for a cold engine that is off, since that's when you would normally work on them. As the engine warms up, it expands, stretches the belt, and the tension goes up. But each belt construction/ materials has different Tensile Strength, Coefficient of Elasticity, and Coefficient of Thermal Expansion... plus other factors. You're simply presuming one tension fits all (40 lbs on your test fixture). It doesn't.
Second, each belt type has it's own needs... forgetting what the engine needs. The Blue HNBR HTD belt is a quantum leap less stretchie, and requires a lower cold tension in order to produce the correct hot running tension. If you set the Blue HTD belt to the same cold tension used for the black HTD belts, the resulting hot tension will be WAY TOO HIGH. The Blue belts just do NOT stretch as much as the black belts.
And you choose to ignore all of the above.
When an identical force (eg. 40 lbs of weight) is attached to the bottom of the loop
in the belt for each belt then the force will apply the same tension for each belt.
So where did you get 40 lbs at the bottom of the loop as being correct for any belt? "IF" you cut the belt, anchored one end, looped it up over the pulleys, and hung a 40 lb weight from the other end, then the strand tension in the belt would be about 40 lbs (ignoring pulley bearing drag). However, by suspending a 40 lb weight from the bottom of a continuous loop, the strand tension is only 20 lbs.
For the 4-cylinder 9XX engines (your 1990 SE), Lotus specifies 95 pounds (Vs your 20 lbs) measured via a Burroughs gauge. Due to the Burroughs' sensitivity to thickness, the result is an accurate 95 lbs in the trapezoidal black belt, and a lower tension at about 90 (maybe high 80s) in the black HTD belt. So by what logic are you discounting Lotus' specs and presuming that a 40 lb weight in the loop (20 lb strand tension), is a correct tension? It's not.
There are no other variables, only a different belt.
Changing belt types automatically introduces a plethora of variables, which you conveniently choose to ignore.
Since Lotus only supplies the specification for frequency...
For decades, Lotus has specified the black belt tension for the 9XX 4-cylinder (your 1990 SE) in pounds-Burroughs... it's in the "Service Notes" manual.
the question is does the blue belt obtain the same amount of
tension as the black belt by measuring the same frequency?
The blue belt should not be presumed to use the same frequency as the black belt. Said another way, the same frequency in different belt types will not produce the same strand tension in them.
The blue HTD belt is thicker, heavier and stiffer than the black HTD belt, and those are all factors that affect frequency response. On a guitar, if you set both the skinniest string, and the fattest string to the same strand tension, then pluck them, they will produce very different notes. Going the other way, IF you want the same strand tension in both of those guitar strings, you can't simply set both of them to produce the same note, since the resulting tensions will be very different.
We are not dealing with trapezoidal belts, no Burroughs Guages,
Who's "we"? This thread started in 2016, with no mention of V8s through Snowrx's post two days ago. You didn't jump in until yesterday.
simply what frequency to use when putting a blue belt on a V8 or SE when the
only frequency specifications from Lotus are for the proper respective black belts.
Again I ask, what frequency is your correct frequency for the
blue belt on the V8 and 1990 SE and what is it based upon?
I've previously stated what I have found to be a serviceable tension in Lbs-Burroughs tension for a Blue HTD belt in a 910 4-cylinder (your SE). If you're not willing to purchase or borrow a Burroughs gauge to use that tension spec, then don't expect me to buy a frequency analyzer to convert the pounds to Hertz for you.
Gates Racing Blue HTD belt tension = Burroughs 83-85 = Krikit KR1 34-35 on the 'pounds' scale
I do not know a correct Blue belt tension for a 918 V8, someone else will have to post a recommendation for you. I hope you'll listen to them.
I'm done. Good luck.
Tim