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Old 19th February 2008, 08:11 AM   (permalink)
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Quote:
Originally Posted by Ambient
lol no. Try to come up with 10 reasons though. It's not easy when you are nervous. The easiest is: It's easier to roll 300lb of iron than carry it.
I spent one summer working on cable TV plant up on poles and also down in manholes.

Workers don't roll manhole covers. Workers don't lift 300 lbs. We used a manhole cover tool that DRAGS the cover off the hole and drags it back.

And the cover is round because the hole is round!

Bob

Last edited by Bob Scott; 19th February 2008 at 08:16 AM.
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Old 19th February 2008, 11:10 AM   (permalink)
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Quote:
Originally Posted by Hank Fletcher
I thought so, too, at first. I think an equilateral triangle would also do the same trick, or maybe a hexagon. Given that, I think Ambient's answer that because it's easier to roll than pick up is a pretty good one. I put it to my girlfriend, she said that if the cover ever came loose, it would cause the least amount of damage to cars (i.e. no pointy bits). There seems to be a lot of good answers for "circle," it's the why that demonstrates imagination, I think.
Well, as Roff noted, if you are allowed free reign with the width of the lip that the cover sits on when in place, then you can do it with many shapes. If you want to maximise clearance through the hole and use the least material to make the cover, then I don't think any shape but a circle or a regular polygon which approximates a circle fairly closely can be guaranteed to never fall through its own hole.

This is my line of reasoning--and please shoot any stupid points down. I'm just thinking about this because it's fun (I'm a sad, sad man):

It seems to me that a circle is the only shape which has equal maximum and minimum lines of bisection. So for any non-circle, there is a way that you can rotate it so that the minimum width of the cover passes through the maximum width of the hole.

This is using ideal shapes of two-dimensional planes. The thickness of the cover and the width of the lip will both matter. If you are allowed to make the lip width greater than the difference between the shape's maximum and minimum widths, you can make other shapes work. But then you increase the amount of material you need and reduce the room for access through the hole.

You could also increase the thickness of the cover to a greater fraction of the shape's size, but then you're also wasting material.

I think that a circle also uses the least material overall (as Robert-Jan noted) and as a couple people have also said, the holes are round.

Quote:
Please post a picture of what you mean.
I'd like to see that picture too.


Torben
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Old 19th February 2008, 09:26 PM   (permalink)
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I did a little research. It turns out that a Rouleaux triangle will also work. I had never heard the term.
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Old 19th February 2008, 09:37 PM   (permalink)
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Quote:
Originally Posted by Roff
A triangle can fall through. A hexagon can fall through. Of course, you can make the hole substantially smaller than the lid, and you can keep either one of them from falling through, but with a circle, the hole only has to be infinitesimally smaller than the lid.
I suppose you're right! It kind of hurt my brain trying to think of a non-circular shape that wouldn't, then hurt it again sorting out why the non-circular would still fall through!

I better brush-up on my spatial reasoning skills. I'm hoping to join the army here soon, and part of the entry test is a portion I guess designed to gauge some aspect of recruits' aptitudes. It's multiple choice, but it involves looking at pictures of shapes and determining what goes where, e.g. choosing the right two dimensional fold-out that will fold up into a given three dimensional figure. Not the sort of thing you'd find on your average job application, I don't think!
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Old 19th February 2008, 09:39 PM   (permalink)
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Quote:
Originally Posted by Roff
I did a little research. It turns out that a Rouleaux triangle will also work. I had never heard the term.
Well now I don't know what to think! Round triangles?!

Last edited by Hank Fletcher; 20th February 2008 at 05:22 AM.
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Old 19th February 2008, 09:45 PM   (permalink)
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Quote:
Originally Posted by Roff
I did a little research. It turns out that a Rouleaux triangle will also work. I had never heard the term.
OK, that's pretty neat. After work today I'm going to mess around with that idea.

Thanks for the link!


Torben

[Edit: Got a break and did a little more reading and doodling--turns out that many regular Rouleaux "polygon" (puffy polygons) with odd numbers of faces have this property. Live and learn. I think this is pretty cool. Thanks again for the link!]

Last edited by Torben; 19th February 2008 at 10:07 PM.
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Old 19th February 2008, 09:58 PM   (permalink)
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That is how the Wankel rotary engines are designed. But they are not very fuel efficient in the RX-7's.

Sounds like you guys are coming up with the other 9 answers I gave as well lol. The two last I gave were : preference and "The first guy made them round, so the second and so on made them round". I guess you could say heritage.

Last edited by Ambient; 19th February 2008 at 10:05 PM.
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Old 19th February 2008, 10:29 PM   (permalink)
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Wikipedia has a nice discussion of manhole covers, including some reasons they are round.
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Old 19th February 2008, 10:31 PM   (permalink)
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Quote:
Originally Posted by Torben
OK, that's pretty neat. After work today I'm going to mess around with that idea.

Thanks for the link!


Torben

[Edit: Got a break and did a little more reading and doodling--turns out that many regular Rouleaux "polygon" (puffy polygons) with odd numbers of faces have this property. Live and learn. I think this is pretty cool. Thanks again for the link!]
Perhaps a circle is just a Rouleaux polygon with (2*infinity-1) sides.
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Old 19th February 2008, 10:52 PM   (permalink)
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Quote:
Originally Posted by Hank Fletcher
Quixotron's advice is great for anyone who wants to work for a living, just bear in mind that it's an ethos that will never make you a millionaire. The subordinate will always be subjugated, they just go hand in hand.
Thats not necessarily true. One of my bosses enjoys a six figure salary, has about .5 million dollars in company stock at reduced price, travels to europe and japan at least a dozen times out of the year and has a nice pension/retirement bonus. He spends half the time in meetings, enjoys 5 weeks plus of paid vacation and enjoys calling the plays. yes, he's been there for 25 years or so at Lexmark, but he seems happy and content. I couldn't see what more a man could want.

slow and steady wins the race. cheney is a great example. the guy will retire filthy rich. he also has deep political connections within the GOP party, so he gets to make the big decisions and noone messes with him. same with mccain, he started off as a foot soldier for reangan look at him now, one step away from being president of the US. of course, these guys PUT IN THEIR TIME! we're talking a minimum of 20 years service.
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Old 20th February 2008, 12:04 AM   (permalink)
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Well, your boss sounds like he's in a nice position, but I wouldn't say that spending half my time in meetings is a good thing, and 6 figures is anything over $100K, not really a big deal.
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Old 20th February 2008, 04:21 AM   (permalink)
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Quote:
Originally Posted by quixotron
slow and steady wins the race. cheney is a great example. the guy will retire filthy rich.
Why doesn't it surprise me that you would admire Cheney?
Quote:
Originally Posted by Hank Fletcher
I'm hoping to join the army here soon
Join the Navy. You'll live longer.
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Old 20th February 2008, 04:30 AM   (permalink)
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Quote:
Originally Posted by kchriste
Why doesn't it surprise me that you would admire Cheney?

Join the Navy. You'll live longer.
I was going to say the airforce. but i'd avoid serving altogether. i'd refer to design military hardware instead.
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Old 20th February 2008, 05:25 AM   (permalink)
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Airforce would be OK as a COM/RADAR tech, though you tend to lose your hearing. Hank just doesn't strike me as someone who would follow an order to kill without question. But maybe I'm wrong.
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Old 20th February 2008, 05:25 AM   (permalink)
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Quote:
Originally Posted by kchriste
Join the Navy. You'll live longer.
That'd be my preference, and the Navy tends to have great bands, but the local Artillery needs a trombone player!
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