Your using some facts and again some assumptions.
I made no assumptions.
Other than assuming you bought a 100hp machine with a 5500# (or optional 8000#+) hitch capacity because you didnt want a 50-60hp machine and the associated limitations with it.
Its always good to find what you know is true and then fill in the blanks working backwards.
Start with what someone "thinks" the know is, weight 3041, pressure 575 psi and then work backwards
What is pictured
Gauge reading and calculated surface area (575 psi x 5.29 sq in) = 3041 all is good [Note: Gauge being used while not calibrated gave a reference point]
Calculate surface area for (radius Squared x Pi = surface area)
2.5 = 3.14 then use 3041/3.14 = 968
2.0 = 2.04 (listed but inaccurate) 3041/2.04 = 1490 but actual is 1.954 [(2 in = 3.1415)-(1.1875 rod)] which yields 3041/1.954=1556
Your attempt to point out minor errors or oversights on my part just show the lack of education about the subject matter.
Sure, I am human. Maybe I keyed something in wrong, mistakes happen. But in this case, your attempt to try and "prove" you are smarter failed miserable. You need to re-evaluate the ROD SIDE surface area of a 2" cylinder.....with a 1-3/16" rod diameter
And thinking gauge calibration is even relevant to what I am talking about is laughable.
Just working in reverse does not provide what happens because not all factors have been calculated
The ONLY factor I didnt calculate was the effect of the "angle" of the toplink. Why didnt I calculate it...
1. Its irrelevant because the effects can be seen in the gauge
2. It is variable and adjustable
3. Not worth my time to calculate that if you cannot comprehend other, more basic concepts of how the 3PH works
The 30/16 factor means nothing. How does the 30 in arms extension compared/calculated to a distance separating the upper link to the lower arms? Both lower and upper extensions are extended, and at different lengths, but where is the calculated loads on each and how the difference in angles apply's to total load.
This is the basic concept you fail to understand.
The 30" has nothing to do with the lower arm length. Its is how far BEHIND the lower arms (specifically the ball ends) the load is applied.
You fail to realize that when you lift something....your load (implement) is rotating about the LOWER pins. The ONLY thing keeping the rotation in check is the toplink. The toplink that is in TENSION. The toplink that is mounted (in my case) exactly 16" above the lower pins.
What that means in simple terms is.....a load 16" BEHIND the lower pins....its 1:1 ratio. Every pound you put on @ 16" is PULLING on the toplink by a pound. At 32"....every pound that you put on....is pulling with TWO pounds of force.
Since MY rotary cutter is 1620#....and the center of that weight is ~30" behind the lower pins....that is ~3040# PULLING at the toplink pin where the implement attaches.
Since the Toplink is mounted on an angle (and that angle is adjustable with different mounting positions) the toplink sees MORE than 3040# of force. In my case how the cutter was mounted....about 30% MORE force.
Its about as simple of a lever as you can get . Draw a line like this |____ (kinda like a carry-all platform). with the pivot point being the the corner of the 90 degree angle. Believe it or not....crowbars, nail pullers, hammers, gorilla bars etc all operate of this same leverage principal.
To prove your point, there would either need to calculate the load variables at given angles, or would need to at least install the other size cylinders and measure the pressure with the same gauge.
No need to try all different cylinder sizes. The relationship to cylinder size (in sq inches of piston area) and PSI is linear.
For someone who still seems to think that the toplink only sees 1/3 of the weight on the hitch, and still thinks a 2" cylinder would be enough for your 5500# lift capacity, it is clear you simply do not understand yet. And weather you will ever understand (or admit to understanding) is another matter.
The fact that SEVERAL other members here with similar machines ranging from the 7040, 8540, and 9540 all say they used 3" cylinders. And the fact that one of the most respected toplink guys recommends a 3" cylinder for 60-100hp machines should tell you something right there.
But maybe you never plan on using more than a few thousand pounds of your capacity? Maybe you will only use light attachments like a landscape rake, or bale spear lifting 1000# bales? You will certainly be alright with a 2" or 2-1/2" cylinder if thats your plan. I just dont understand the logic of limiting your rear hitch to something a 50-60hp machine could do just to save a few bucks....when you spent several grand more to get a 100hp machine instead of a 60
