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Torque required to Move Wagon (4 wheel on a frame)

11/28/2009 5:27 PM

Hello Folks,

I have a questions I am hoping you guys can give me some guidance. I have a wagon out back which I use to move garbage in a pit and I need some help in selecting a motor. The wagon is 48" sq and has 4 wheels which is 6" in diameter. the wagon without the bin weights about 200 lbs and the bin when fully loaded weights about 1500 lbs (worst case). I am attaching 2 motor to the back wheel directly mounted and wanted to know the torque required. The Wagon will travel about 1 ft/sec. The wheel is steel and the pit is concrete.

This is what I came up with:

Total Load: 1700 lbs which is (425lbs per wheel), The torque is (F*u*r) assume u=0.5, therefore T=425*0.5*(6/2)= 640 lb-in per wheel. Since I am driving the back wheel only then each motor with require a torque of (640 lb-in *2)=1280 lb-in. Now since I have the Torque and I have the velocity I can find a approx horsepower. Below is a picture, the question is:

Guys is what I did above correct?? I just want to ensure what I did above is correct since I don't want the hassle of selecting a motor then realise it don't work and have to modify and return. Hope I can get some help in the matter.

Note: Wagon don't actualy look like this, its only a sketch to explain the question.

Thanks alot,

Samantha

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#1

Re: Torque required to Move Wagon (4 wheel on a frame)

11/28/2009 6:22 PM

Assuming you're getting u from a 30° slope, looks OK. Suggest you add a generous amount of safety margin - 25 to 50% maybe (wouldn't want to get stuck with that much garbage to shovel out!).

May be a daft question, but can't you use a fixed winch & cable? Steerable trolley, maybe?

Another point - what kind of motor & control are you considering? That's a hell of a lot of torque for direct drive (i.e. no gearbox).

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#2
In reply to #1

Re: Torque required to Move Wagon (4 wheel on a frame)

11/28/2009 7:03 PM

Thanks JohnDG for replying,

The 0.5 I used was for friction (Steel wheel on the Concrete) that number was a "WAG", the concrete surface is flat no incline or anything. I was thinking about using a winch the numbers I came up for the Force required for the winch to pull is (Force)(Friction) = 1700*.5 = 850 lbs thats the force required to pull the 1700lbs wagon on 4 wheel, But I don't have a specific spot to attach the fix winch since I move the bin around, but your right If my calculations are correct it would be cheaper to use a fix winch, only thing it pulls in one direction.

Samantha

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#3
In reply to #2

Re: Torque required to Move Wagon (4 wheel on a frame)

11/28/2009 7:20 PM

Your 0.5 as a 'finger in the wind' sounds OK.

Another problem you'll have to consider is getting power to the trolley.

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#12
In reply to #2

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 10:57 PM

Hi Samantha,

If you still prefer to use a fixed winch, you can pull the wagon in the opposition direction by running the cable over a pulley to the reversed starting point. I presume you would need this to return the empty trolley to the starting point.

How far are you looking to move the trolley overall? Would a boat trailer winch running from a car/truck battery supply be adequate?

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#13
In reply to #12

Re: Torque required to Move Wagon (4 wheel on a frame)

11/30/2009 12:52 AM

If all you needed to do was move it back and forth, you could set up something like a garage door opener. This could still work if you have to move the bin around, as long as the bin moves in a consistent pattern. You could even use an old door opener by upgrading the motor, that way you have a remote control.

Actually a big door opener might be just what you need even if you cannot use it like the pulley and chain design. Mount the door opener and use a bicycle gear setup to vary the speed/torque settings. Plus, you get the wireless controller! If you can't get it to run on mains (household) electricity, swap the motor out for an efficient battery convenient motor and use the bicycle gears to adjust the ratio.

Drew

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#4

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 12:00 AM

Since this wagon is to move horizontally, you do not need to lift this load--only accelerate it to the modest speed given. The friction you need to overcome is only that of the wheel/motor bearings.

An acceleration of g/20 should be adequate. In effect, this means dividing the wagon+load weight by 20, and then multiplying by the wheel radius to get required torque ≈ 1700/20 x 3 = 255 lb-in. (If you want faster acceleration than that, adjust the computation accordingly, and perhaps multiply by a safety factor.)

However, if you don't want to "peel out," you need to check that the sideways force exerted by the wheels (85 lb) won't make them slide. That would take 1700 lb x 0.5 coeff. fric. = 850 lb, which is way more than the contemplated motors will do; so you're safe there.

Interesting project, btw. What kind of motors and power provision are you thinking of?

An electric pallet jack motor might be an excellent candidate for this application.

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#5
In reply to #4

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 4:56 AM

I accepted the figure 0.5 on the basis that the floor may be lumpy & maybe have the odd bit of garbage that the trolley would need to 'climb over'. I agree your figure should be plenty in ideal circumstances.

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#6
In reply to #5

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 5:33 AM

Good point. Even a little bump of 30° would require lifting 1/4 to 1/2 of the load over the bump. (Discounting inertia even if the wagon is at speed.)

The 0.5 figure pertains both to estimated coeff. fric. and to climbing a 30° slope. Those are separate issues.

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#7

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 4:54 PM

Hey guys,

Thanks for the reply, for power I was considering using a hydraulic motor but am now considering using an electric pallet jack motor as per Tornado reply, thanks Tornado and JohnDg.

I was having this discussion with my friend and we seem to disagree on how I came up with the torque calculation, I will explain the discussion and let me know what you all think.

I am using (2) motors to drive the wagon and they are attached to the "Two Back Wheel", if the load is equally distributed each wheel will see a load of "425 lbs" (1700/4). I calculated the torque using: [(Load per wheel)(Friction)(Wheel Radius)] x (2)] this will be the torque required per motor (1280 lb-in), I multiply by (2) because I took the torque of the front wheel and added it to the torque of the rear wheel.

The disagreement is my friend thinks that I should NOT multiply by (2) because the rear wheel is only seeing 425lbs and the front wheel has no input on the torque of the rear wheel, therefore the torque required for each motor is only (640 lb-in), I somewhat disagreed because even though the (2) back wheel is driving the wagon it still has to move 1700lbs load. What do you all think, am I right or wrong?

Tornado can you let me know the formula you used to acquire the 255lb-in, I notice you used Torque=(Force/a)*(wheel radius). I am trying to figure out that formula but the closest I came up with is Force=(m)(a), I am just trying to justify the 255lb-in because that number is much lower that what I go and works best for me, I just need to understand it a little bit better.

Thanks guys,

Samantha

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#8
In reply to #7

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 5:48 PM

This is because, except for going over presumably small bumps, you are not lifting the 1700-lb load; you are only accelerating it horizontally.

For an analogy, think of putting a 3000-lb car in neutral and pushing it. The main things you are overcoming are tire flexure and wheel bearing friction. About 100-200 lbf is enough. Even locomotives can be pulled by a single strong person, but there is virtually no wheel flexure, and only bearing friction (probably roller bearings) is involved.

Accelerating 1700 lb at g/20 is the same as accelerating 85 lb at 1 g, which takes 85 lb., applied at 3" radius, hence 255 lb-in of torque. You might "bump" this up some to help in getting over small bumps on the travel surface. A pallet jack motor is already sized almost perfectly for this task. A common power source is 24 VDC batteries; this and the motor will add a bit of weight to the wagon assembly.

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#9
In reply to #8

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 6:12 PM

Thanks Tornado, That information was very usefull, what do you think about the discussion I posted ealier, do you think I was correct in my thinking?

Samantha

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#14
In reply to #7

Re: Torque required to Move Wagon (4 wheel on a frame)

11/30/2009 2:14 AM

I suggest you don't use 2 separate motors. Once one of the motors gets stuck (hits a bump, slipping, etc...) you'll start running in circles. It's much better to attach both wheels to one common shaft and attach the motor to this shaft.

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#10

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 7:28 PM

I like wheelchair motors. Not quite as strong as a pallet motor, but more common and probably easier to find used.

Drew

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#11
In reply to #10

Re: Torque required to Move Wagon (4 wheel on a frame)

11/29/2009 7:52 PM

Good idea. A golf cart motor might also work. All of these options seem to be about in the right torque/speed range. It is a matter of availability and cost.

If any of these motors come attached to a single-wheel drive, the cart could be reconfigured as a 3-wheeler. (And even steerable with a linear actuator matching the motor voltage.)

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#15

Re: Torque required to Move Wagon (4 wheel on a frame)

11/30/2009 9:14 AM

What do you guys think of the discussion I posted earlier?

"I was having this discussion with my friend and we seem to disagree below is the discussion:

I am using (2) motors to drive the wagon and they are attached to the "Two Back Wheel", if the load is equally distributed each wheel will see a load of "425 lbs" (1700/4). I calculated the torque using: [(Load per wheel)(Friction)(Wheel Radius)] x (2)] this will be the torque required per motor (1280 lb-in), I multiply by (2) because I took the torque of the front wheel and added it to the torque of the rear wheel.

The disagreement is my friend thinks that I should NOT multiply by (2) because the rear wheel is only seeing 425lbs and the front wheel has no input on the torque of the rear wheel, therefore the torque required for each motor is only (640 lb-in), I somewhat disagreed because even though the (2) back wheel is driving the wagon it still has to move 1700lbs load. What do you all think, am I right or wrong?"

I just want to know if I am correct in my assumption, but oreng78 has a good point, if I use (2) wheel there is a possibility to go in circles, so I am going to use (1) shaft to drive both rear wheels.

Samantha.

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#16
In reply to #15

Re: Torque required to Move Wagon (4 wheel on a frame)

11/30/2009 2:12 PM

What do you all think, am I right or wrong?"

Your calculation is using the friction coefficient incorrectly, so neither you nor your friend are correct. .5 is the tractive friction coefficient for steel and concrete: in other words, it measures how much tractive effort can be delivered by the contact between steel and concrete. (For rubber on concrete this would be close to 1.) This friction does not need to be overcome by wheel torque. Instead it is the friction that allows the cart to move without spinning its wheels.

Rolling resistance is the friction that must be overcome by tractive effort (and which therefore requires wheel torque. For rubber car tires, this coefficient is about .01: in other words a 3000 lb vehicle requires only 30 lb of force to move horizontally on a smooth perfectly flat surface. (This is why car salesmen can push cars around the showroom floor.) (Rolling resistance of steel on smooth, clean, flat concrete is even lower .004?)

So as others have said, torque is required to 1. produce an acceleration, 2, for grade climbing, and 3. to overcome rolling resistance. If you want to get to 1fps in one second then the acceleration is 1/32 G, so tractive effort would be 1700 lb/32 = 218 lb. There will, no doubt, be slight grades as the wheels climb over bits of garbage. These grades may be about 30%, so 510 lb tractive force would be required. Rolling resistance of steel on concrete is extremely low (lower than rubber on concrete) -- it, combined with wheel bearing resistance, might be (.005 x 1700), which we will round up to 10 lbs. Generally, you will not require your desired acceleration and grade climbing ability simultaneously, so 520 lb tractive force should be adequate, but multiplying this by 1.5 would allow for unplanned cases: so 780 lb of tractive effort may be required.

This, finally, is where the friction between steel and concrete comes into play. If you assume that garbage has lubricated the surface somewhat, it is possible that the coefficient of tractive friction may be (not .5 but) .3 or even lower, if the garbage is greasy. That means that two driving wheels, each with 425 lbs (for a total of 850 lb) might only be able to provide (.3 x 850) 255 lb tractive effort -- not enough for a probable scenario. Treaded rubber tires would at least double this, putting you close to the effort required for grade climbing. A single steel drive wheel would not work, unless you can ensure that the concrete is always smooth, clean, and dry.

You may want to consider tracks like railroad tracks. This would, for most cases be likely to eliminate the "grade" climbing issues: the tracks are likely to remain clear. Tracks could be inverted angle iron, with the wheels v'ed. Tracks of some sort would almost certainly be needed to keep the vehicle going straight over time -- and they are worth considering for that reason alone.

Drive by winch is certainly worth considering, because it eliminates concerns over tractive friction. A 1000# rating winch would move the cart easily (provided the take up is smooth and without jerk, and that the winch does not accelerate the load at more that 1000/1700 G). You would need to design the system to provide positive drive and stopping in both directions, adequate braking, protections against entrapping and crushing a person, rolling over feet, etc. Carts like this are frequently equipped with safety bars on at least the front and rear ends so that if the cart hits something (like a person) it stops immediately. Failure to incorporate adequate safeguards can put you and your company at serious financial risk.

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#17
In reply to #16

Re: Torque required to Move Wagon (4 wheel on a frame)

11/30/2009 2:36 PM

Hello Blink,

Your reply is absolutely prefect, thanks for the info. I have considered using v-groove wheel and using angle iron as my tracks so the wagon will be moving on the angle iron similar to this: (http://www.castercity.com/vgroovew.htm#Table%20-%20Casters"

I taught of using the angle iron as tracks because just in case junk falls on the track at least it will fall of the angle iron peak an not get caught on the wheel. I am also considering using a winch drive I am drawing a sketch and will be comparing the prices (motor vs winch) and will probably choose the cheaper method. Thanks for your post it is very helpful.

Thanks,

Samantha

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#18
In reply to #16

Re: Torque required to Move Wagon (4 wheel on a frame)

11/30/2009 8:30 PM

Hello Blink,

I was just going through your numbers and I got different values. For example:

For Tractive effort I got (1700 lbs/32 = 53.125 lbs not 218 lbs) and a 30% increase of 53.125 is 70 lbs. Am I doing something wrong with the numbers?

Samantha

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#19
In reply to #18

Re: Torque required to Move Wagon (4 wheel on a frame)

12/01/2009 1:31 AM

For Tractive effort I got (1700 lbs/32 = 53.125 lbs not 218 lbs) and a 30% increase of 53.125 is 70 lbs. Am I doing something wrong with the numbers?

Actually, we're both doing something wrong. 1700/32 is indeed 53.125. This is the tractive effort required to accelerate from 0 to 1fps in one second. ( I can't imagine where I got 218.)

But the 30% is not an increase, it is a grade: 3 feet rise in 10 feet of run. The "grade is really a micro grade encountered in climbing over little pieces of debris.

The tractive effort required to climb a grade is equal to the grade percentage times the vehicle weight, for grades that are not very steep. (It's handy for estimating.) In fact, 30% (16.7 degrees) is about as steep as you would want to go without using the more precise (sin of the grade angle x vehicle weight). In this case, the sin of 16.7 degrees is .287, close enough to .3 for estimating purposes. Sticking with .3, then the tractive effort required to climb the 30% grade (over some piece of crud) would be .3 times the vehicle weight: 510 lb, if all the wheels are simultaneously climbing over stuff.

The size of the piece of crud to climb over and the size of the wheel affects the apparent grade. The wheel axle will follow an arc, and the tangent to that arc is the apparent grade at the instant that the obstacle is encountered. The smaller the obstacle relative to the wheel size, the smaller this tangent angle. If your frame were perfectly stiff, then the weight lifted by one wheel going over an obstacle would be half the vehicle weight. It is very unlikely that the frame would be this stiff, for small obstacles, so the actual weight lifted at one wheel would be not too much more than 1/4 the weight of the whole cart. How many wheels might encounter an obstacle at once? If you have a lot of loose gravel that finds it way into the pit, then perhaps half the wheels might be obstructed at the same time. On the other hand, if the wheels are on tracks, then there may never be any obstacles of concern, in which case, the tractive effort might not have to be more than that required for acceleration plus 10 lb for rolling resistance, plus a safety margin.

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