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Hydraulic Theory Question

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Dave(inMA) View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dave(inMA) Quote  Post ReplyReply Direct Link To This Post Topic: Hydraulic Theory Question
    Posted: 14 May 2010 at 6:25am
I've been posting about the slow moving bucket cylinder on my D14. One thing I have noticed is the outside diameter of this cylinder is 4+ inches where the lift cylinders are about 2.5 inches in diameter. Would this diameter difference be a factor? I'm thinking not as the diameter of the two lift cylinders combined is more than that of the bucket cylinder.... or is it possible to have a cylinder that's incompatible with the hydraulic system? 
 
The bucket cylinder is two-way while the lift cylinders are one-way. Pump is an old Vickers crank-driven unit putting out 6 gpm, likely less than 2000 psi. Not using the built-in hydraulic system at all.
 
I've done some research and understand some of the factors here:
 
First, if the bucket piston end plate is 4" in diameter and it's moving 2 feet, it'll take about 3 gallons of oil to accomplish that. Or about 30 secs at 6 gpm, which is about what I am seeing.
 
Second, I'm thinking that psi has to do with lifting force not speed. GPM and piston diameter affect speed.
 
What say the hydraulic experts out there?
WC, CA, D14, WD45
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BobHnwO View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote BobHnwO Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 6:56am
The bigger the dia. of the cyl. the slower the speed.
Why do today what you can put off til tomorrow.
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GregLawlerMinn View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote GregLawlerMinn Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:01am
Sounds to me like you got the engineering down pat. Lifting force is determined by the size of piston and pressure from the pump. Larger dia piston will have more lifting power, and slower lift speed, with the same pump. Have a D15 with a front mounted pump for the all hydraulic FEL...makes it fully independent of the clutch, if engine is running have power to the FEL.
What this country needs is more unemployed politicians-and lawyers.
Currently have: 1 D14 and a D15S2.
With new owners: 2Bs,9CAs,1WD,2 D12s,5D14s,3D15S2s, 2D17SIVs,D17D,1D19D;1 Unstyled WC
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Dave(inMA) View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dave(inMA) Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:05am
Bob, that certainly seems to be what my research says. A 2" cyl piston will move 4 times as fast as a 4" cyl piston (ratio of the squares of the radii).
 
So will two cyls each the same diameter (ie, lift cyls on my FEL) move at the same speed as one cyl of the same diameter? Or will their speed be less? For example, assume 2" cyls. Combined area is 6.2 sq inches compared to 3.1 for a single cyl. Would the single cyl more twice as fast as the two cyl system?
WC, CA, D14, WD45
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BobHnwO View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote BobHnwO Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:13am
Same idea,2 cyls.take about twice as long as 1.
Why do today what you can put off til tomorrow.
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Gerald J. View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Gerald J. Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:22am
Cylinder speed boils down to pumped volume in gpm and the swept volume of the cylinder or cylinders supplied by that pumped volume. So two cylinders plumbed in parallel will move half as fast as a single cylinder of the same diameter.

Two two inch cylinders will move twice as fast as a single 4 inch cylinder.

Cylinder speed can be slowed by a restriction in the hydraulic line. By an orifice or a valve only partly opened, or by friction in a small diameter line. On my loader (red loader on a green tractor) I installed a flow restrictor needle valve in the supply to the loader valve to make loader control easier. It didn't need 22 gpm on 2-1/2" lift and bucket cylinders, 5 is plenty. Same thing for the backhoe I can mount with the same hydraulic manifold. The flow restriction allows heavy hands on the valves, saves having to barely open the valves to prevent jerky operation.

That four inch cylinder on the bucket probably isn't rated for the 3100 psi of the AC pump.

Gerald J.
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Dave(inMA) View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dave(inMA) Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:26am
All makes sense to me.....two 2" diameter lift cyls will (together) move twice as fast as one 4" diameter cyl. But the 4" cyl will exert twice as much force as the lift cyls.
 
There's one more factor here. When I am comparing speed of the bucket cyl vs the lift cyls, I'm really talking about what's happening at the bucket - the end of the loader arms. So the relationship between the lengths of the loader arms between arm pivot point, cylinder attachment point and bucket play into the perceived speed of the lift arms. If the cyl to bucket distance is 2x the pivot to cyl distance, then the bucket will move roughly 2x the distance that the piston moves. I think!
WC, CA, D14, WD45
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Kcgrain View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Kcgrain Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:28am
a 4in cylinder, is more than twice as big as a 2in cylinder so will take more than twice as much oil to fill it for example a 2in cylinder with a 10 in stoke has roughly 31 cu in inside to fill with oil where a 4 in cylinder has 125.6 cu in to fill with oil , so thats roughly 4x a much oil to pump to do the same speed as  2in cylinder . a 2 in cylinder has 6200# of forse at 2000psi where a 4 in cylinder has 25,000 # of force thats a big diffeence.
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Dave(inMA) View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dave(inMA) Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:34am
Gerald - thanks for the education! One point - the entire FEL is operating on the Vickers vane pump (crank-driven) at (I believe) 6 gpm and something less than 2,000 psi.
 
If I am doing the math right and if the psi is, say, 1,600, then the force exerted by a 4" diameter cyl would be about 10 tons (3.14 x 2^2x1600/2000)! I'm guessing that I don't need that much. A 2" cyl would generate 2.5 tons.......
 
I think I can give up some lifting force for increased speed. For light farm work, any recommendations on what would make sense for that bucket cyl?
 
Just saw Kcgrain's post - thanks - we are typing at the same time, but you are briefer and quicker!!


Edited by Dave(inMA) - 14 May 2010 at 7:36am
WC, CA, D14, WD45
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LouSWPA View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote LouSWPA Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:45am
actually, if I'm not mistaken, two 2.5 inch cylinders would have 9.8 square inches, and one four inch cylinder would have 12.6 square inches For a given stroke, the four inch would take 25% more fluid than two 2.5 inchers. Or, for a given stroke and pump, a four incher is going to take longer than two two and a half inch cylinders, twenty five percent longer.
I guess if I had read ALL the responses, I would have seen that this was already covered


Edited by LouSWPA - 14 May 2010 at 7:53am
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Dave(inMA) View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dave(inMA) Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 7:56am
Lou, I agree with your math! Thanks for jumping in on this discussion - I'm learning something from every post.
 
In some of my posts I am comparing observed speed of the bucket motion (slow)  to that of the lift arms (quick), so that muddies up the water here.
 
Focusing just on the bucket: If I replaced the 4" bucket cyl with a single 2.5" cyl, the piston will move 2.5 times as fast. If I use a 2" cyl, the piston will move 4 times as fast. So the question is whether I will get enough force from the smaller piston - the ratio of the forces is the inverse of the ratio of the speeds, so a 2" cyl will give me 25% of the force I'm getting from the pokey 4" cyl.


Edited by Dave(inMA) - 14 May 2010 at 7:58am
WC, CA, D14, WD45
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Gerald J. View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Gerald J. Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 9:03am
Yah, a vane pump probably can't do 3000 psi.

You have to look at the leverage on the bucket and cylinder mounts too. Certainly a smaller cylinder will be faster (and then takes more finesse at the controls to keep from banging it around), but the smaller force times the leverage might not be enough to do some jobs, like hold up a bucket full of gravel. Though that bucket of gravel might have to be moderated to keep the back wheels of the tractor on the ground. Another leverage effect.

I have two buckets for my loader, one the original snow/manure bucket and a shorter one I had made for heavy dirt work. On my big green tractor now, the snow bucket tipped down won't move the tractor, but the short bucket will. That's really handy for hitching, I can just park with the bucket pointing down and use that for the parking brake and then to inch the tractor to hitch pins I don't have to climb on the tractor, just reach up and run the bucket to rock the tractor a few inches. And when the first step on the tractor was 30" off the ground thats a real saver. I've fixed that step. A smaller pair of bucket cylinders wouldn't make that work with the short bucket.

There are many trade offs in selecting pump volume, cylinder diameter, cylinder mounts, and cylinder stroke.

Gerald J.
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Dave(inMA) View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Dave(inMA) Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 2:43pm
Brief update. I plumbed a pressure gauge into one of the hydraulic lines. I get 600 psi at medium throttle and above, a little less at low idle but not much of a drop.
 
Also........I may be dreaming, but the bucket cylinder is moving faster now. Not great, but better. Maybe the warmer weather?
WC, CA, D14, WD45
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B26240 View Drop Down
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Post Options Post Options   Thanks (0) Thanks(0)   Quote B26240 Quote  Post ReplyReply Direct Link To This Post Posted: 14 May 2010 at 2:56pm
Kcgrain has math correct, when you double the diameter the volume is 4x greater. Mark L
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