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Gravity Driven Rolling Friction Calculation

01/07/2014 1:45 PM

I was having a discussion with a peer about rolling friction. The issue I would like to get clarified is this:

Say you have a schedule 40 pipe, 40 foot long, and it is sitting on 5 pieces W6x12 beam equally spaced, all pieces are clean and smooth, and the I beam is on a 1 degree slope or angle.

The question is, if we had a wider beam so that more area touched between the beams and the pipe, would there be any noticeable difference in the speed or the ability of the pipe to roll on down the beams? Also assuming the pipe is perfectly strait.

Or what if we covered the beams with a solid 1 inch plate so that the whole length of the pipe was touching the surface as it rolled? What should we expect then?

If there is a formula to figure or demonstrate this movement and the friction or whatever the force is that would restrict movement would be called?

Thanks,

Dan

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#1

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 2:04 PM

A 1 degree slope isn't much, so I would think that the less surface contact, the better the pipe would roll; however, you would still have to use enough beams, and have them close enough together, to prevent the sched 40 from bowing or drooping.

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#2

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 2:48 PM

Sounds like homework.

Part of any learning experience is attaining the ability to gather information that is readily available on the internet.

You need to master this: How to Search the Internet - Hannon Library, which you obviously have not done yet.

After you learn How to Search the Internet - Hannon Library you will be able to access tools such as the one I have provided for you below.

Engineering Toolbox

Minimum surface area = minimum drag.

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#3
In reply to #2

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 3:41 PM

Thanks Lyn. I wish I had thought of looking on the internet. If I was educated in these matters I would have known the exact terms to search for. I am not really. I found a bunch of information about rolling frictions earlier today on the Engineers toolbox site as you linked. I didn't get the explanation I was looking for out of all of my searches. You seem to make a lot of assumptions instead of trying to be of any real help. I hope that your attitude towards new members and people needing help to understand things is not typical of the GlobalSpec community. I came here after my searches still left questions and some things I just don't know. I have a limited amount of engineering knowledge, and maybe I lack the vocabulary to find the appropriate links from my searches. I guess that you can see that I have been slightly offended by you and your demeaning tone and judgmental comments. You wouldn't or couldn't really know how much time I have spent trying to find this information or my amount of knowledge.

I receive CR4 dailies in my emails for the last 2 or 3 years and I read through them to see what others have asked and see a lot of things that pertain to my type of work. I have learned a lot also from this site in doing so. I had hoped that I could get the information I was looking for, or the correct terms for the calculations or something else beneficial.

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#4
In reply to #3

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 3:56 PM

It's not his fault.

It's hard to tell from the picture by his name, but he's really old, and he's been stuck in that car window for 4 years.

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#7
In reply to #3

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 4:14 PM

I can't believe how poorly you've been treated! I would certainly leave him off of next years Xmas list

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#5

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 4:04 PM

For the rest of you guys to know, I am a 40 year old CAD designer and I supervise the production and manufacture of industrial furnaces. I am a 9th grade dropout with a GED. No college education, but let me tell you, I can build some nice stuff and my abilities have taken me to my current position. I am building some transfer racks and had a conversation with an engineer about the design question stated in the original post. That is why I made the post.To try to learn something either from one of you or to get linked to a site I could learn from. I am not in college nor have I ever been. If I get no answer to my question my work is still finished. We do things one way, and I just like to understand the principles behind the decisions that are made and why we do it that way, and if there could be a better way to do them. In order for me to continue to ponder this issue I was/ am in need of a little bit more information on the subject.

Thanks in advance to anyone who may try to help me understand the principles involved and how to calculate.

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#9
In reply to #5

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 4:43 PM

You would have gotten less grief if you had said that up front.

It DID sound like homework, with no explanation given.

Don't take offense, but this site offers free tutoring:

3 Types of Friction | Three Types of Friction | TutorVista.com

They may be able to give you some practical help with this problem.

1° is so little grade that things may not move at all.

Others here may be able to put it into perspective for you.

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#11
In reply to #9

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 5:06 PM

The tutoring link is good. I did not know it existed. Thanks again. Good info.

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#19
In reply to #5

Re: Gravity Driven Rolling Friction Calculation

01/08/2014 11:52 PM

I think you are the perfect candidate for Engineering School...

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#6

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 4:11 PM

In theory, friction is independent of contact area. However, if the cumulative length of the pipes actually supporting the load is small, the pipes may deform significantly.

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#8

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 4:41 PM

Here's the thing, the hypothetical, perfect case is different from a practical trial. For the hypothetical case, the beams and pipe must be perfectly flat within negligible tolerance. The only thing that stops or impedes the pipe from rolling down is if the centerline has to lift over any bumps, either in the pipe or the beams or both. Theoretically the metal will be distorted locally when the weight of the pipe is on it.

Assume for a moment that you put a thin layer of plastic foam on the beams, the pipe will squeeze the foam and will be climbing a hill relative to the beam's surface all the way down. If the slope of the beam is steeper than the plastic hill, and still results in a downward slope it will hamper the pipe but if it is not as steep as the foam slope, it will stop the pipe.

Beams and pipes in real life are rolled in less than perfect configuration, beams for example can have camber, sweep, out of square, and its depth can vary between the permitted tolerances. As long as the pipe does not have to climb uphill it will roll to the bottom. If say, there was one bump on the way, the pipe might still have enough kinetic energy to climb over it and continue on its way.

I hope this gives you something to think about.

The area of contact is not significant, it would only become significant if it was so small that it significantly strained the metal at the contact spot and made a hill to climb.

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#13
In reply to #8

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 6:20 PM

Thanks Passingtongreen. I believe your explanation has told me what I was asking. I think if it was a perfect world and the pipe and the transfer racks were perfectly smooth and clean and strait it would not make much difference in the angle needed to roll the pipe on a solid platform or individual beams. If the materials were softer then it would be a whole different question. We would never make a transfer rack with a solid continuous surface as the pipe is never strait. I was just trying to understand the mechanics of the friction or drag between the pipe and the steel racks because of the way it was explained to me this morning. The statement you made at the end seems to be more what I was thinking with the materials we were using.

"The area of contact is not significant, it would only become significant if it was so small that it significantly strained the metal at the contact spot and made a hill to climb."

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#10

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 4:46 PM

I think I can make this easier to answer, maybe. The thing I was wondering about is this:

If I roll the pipe down the 5 beams, the entire weight of the pipe is distributed on 5 support sections. That would make more force at the points of contact while rolling.

If I roll the pipe down a solid plate width = to the length of the pipe, then the weight is distributed across the entire plate. This way would seem to make less of the force in any one point of contact.

So I was looking for a method to prove which would work better or if there would even be a noticeable difference. Forgive any ignorance that present itself in my statements. I think I have a valid question and just want to understand this concept.

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#12
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Re: Gravity Driven Rolling Friction Calculation

01/07/2014 6:11 PM

There should be no noticable difference, and theoretically there WILL be no difference.

The normal force is the variable here, created by the gravitational weight of the pipe.

If you use the same pipe in both cases, and both are rolling on the same specification steel, surface contact area will not affect results.

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#14

Re: Gravity Driven Rolling Friction Calculation

01/07/2014 11:23 PM

Think of it this way, the only point of contact between the round pipe and the flat flanges is the tangent line which is (theoretically) infinitely small, therefore there is no friction opposing the force of gravity, only the imperfections and/or condition of the surfaces would oppose the motion of the pipe.

In the limit if the surfaces were perfectly smooth and dirt free, it would make no difference if the flanges spanned the length of the pipe or were triangular like a knife edge (also presenting an infinitely small contact area), the pipe would roll at the same rate of acceleration due to gravity, which would be determined simply by the slope of the support.

Just think of marbles or ball bearings on a smooth surface, as soon as the surface is anything other than dead-level they roll off the edge.

Of course all this ignores the real world where imperfections, friction, dirt, and stiction come into play, but the real world results won't be much different than the theoretical world.

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#15

Re: Gravity Driven Rolling Friction Calculation

01/08/2014 2:18 AM

If you rolled on marble, the deformation of the marble would be so slight it would make little difference and the perfect pipe would probably roll irrespective of contact area.

If you roll on wood, it more readily distorts. The smaller the contact area the bigger the distortion. As noted, with large distortion of pipe OR SURFACE, the pipe will not roll readily.

Friction is the least of your worries. Distortion is a concern.

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#16

Re: Gravity Driven Rolling Friction Calculation

01/08/2014 7:25 AM

Thanks to all of you for taking the time to explain this concept. The guy I work with was telling me something opposite. And he couldn't explain it in a way that made sense to me, which started my search for the answer online and then here. I believe this one is done fellas. Thanks again. Now that I finally joined up, hopefully I can pay it forward with some answers for people within my scope of knowledge soon. *Handshakes all around.

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#18
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Re: Gravity Driven Rolling Friction Calculation

01/08/2014 8:47 AM

Stick around. Maybe next time we may be asking you for help.

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