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14 Oct 2026 16:55:02 EDT (-0400)
  Round Manholes (Message 1 to 32 of 32)  
From: Darren New
Subject: Round Manholes
Date: 7 Jun 2008 18:44:13
Message: <484b0f3d$1@news.povray.org>
Actually, I've never seen anyone get the answer write to "why are 
manholes round."  I almost hope they ask me that at my next job 
interview, because the interviewer probably doesn't know either. ;-)

-- 
   Darren New / San Diego, CA, USA (PST)
     "That's pretty. Where's that?"
          "It's the Age of Channelwood."
     "We should go there on vacation some time."


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From: Slime
Subject: Re: Round Manholes
Date: 7 Jun 2008 19:32:36
Message: <484b1a94$1@news.povray.org>
I learned the answer from an Encyclopedia Brown book when I was a kid.

 - Slime
 [ http://www.slimeland.com/ ]


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From: Tim Cook
Subject: Re: Round Manholes
Date: 7 Jun 2008 20:04:13
Message: <484b21fd$1@news.povray.org>
Darren New wrote:
> Actually, I've never seen anyone get the answer write to "why are 
> manholes round."  I almost hope they ask me that at my next job 
> interview, because the interviewer probably doesn't know either. ;-)

It's because the subterranean creatures that burrow around make *round* 
holes when they surface.  Silly.

-- 
Tim Cook
http://empyrean.digitalartsuk.com

-----BEGIN GEEK CODE BLOCK-----
Version: 3.12
GFA dpu- s: a?-- C++(++++) U P? L E--- W++(+++)>$
N++ o? K- w(+) O? M-(--) V? PS+(+++) PE(--) Y(--)
PGP-(--) t* 5++>+++++ X+ R* tv+ b++(+++) DI
D++(---) G(++) e*>++ h+ !r--- !y--
------END GEEK CODE BLOCK------


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From: Darren New
Subject: Re: Round Manholes
Date: 7 Jun 2008 20:08:26
Message: <484b22fa@news.povray.org>
Slime wrote:
> I learned the answer from an Encyclopedia Brown book when I was a kid.

Really?? What did he think the answer was?

-- 
   Darren New / San Diego, CA, USA (PST)
     "That's pretty. Where's that?"
          "It's the Age of Channelwood."
     "We should go there on vacation some time."


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From: somebody
Subject: Re: Round Manholes
Date: 7 Jun 2008 21:03:07
Message: <484b2fcb@news.povray.org>
"Darren New" <dne### [at] sanrrcom> wrote

> Actually, I've never seen anyone get the answer write to "why are

Just hope that they don't ask you to write the answer...


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From: somebody
Subject: Re: Round Manholes
Date: 7 Jun 2008 21:11:38
Message: <484b31ca$1@news.povray.org>
"somebody" <x### [at] ycom> wrote in message news:484b2fcb@news.povray.org...
> "Darren New" <dne### [at] sanrrcom> wrote

> > Actually, I've never seen anyone get the answer write to "why are

> Just hope that they don't ask you to write the answer...

Which, by the way, is of course "because the covers are round".


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From: Darren New
Subject: Re: Round Manholes
Date: 7 Jun 2008 22:45:12
Message: <484b47b8$1@news.povray.org>
somebody wrote:
>> Just hope that they don't ask you to write the answer...

Yes. Blame the tequila.  (I knew someone would bring that up. :-)

> Which, by the way, is of course "because the covers are round".

Nope.

-- 
   Darren New / San Diego, CA, USA (PST)
     "That's pretty. Where's that?"
          "It's the Age of Channelwood."
     "We should go there on vacation some time."


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From: Mueen Nawaz
Subject: Re: Round Manholes
Date: 7 Jun 2008 23:05:02
Message: <484b4c5e$1@news.povray.org>
Darren New wrote:
> Actually, I've never seen anyone get the answer write to "why are 
> manholes round."  I almost hope they ask me that at my next job 
> interview, because the interviewer probably doesn't know either. ;-)

	I like the fake Feynman answer:

START

Interviewer: Now comes the part of the interview where we ask a question 
to test your creative thinking ability. Don't think too hard about it, 
just apply everyday common sense, and describe your reasoning process.

Here's the question: Why are manhole covers round?

Feynman: They're not. Some manhole covers are square. It's true that 
there are SOME round ones, but I've seen square ones, and rectangular ones.

Interviewer: But just considering the round ones, why are they round?

Feynman: If we are just considering the round ones, then they are round 
by definition. That statement is a tautology.

Interviewer: I mean, why are there round ones at all? Is there some 
particular value to having round ones?

Feynman: Yes. Round covers are used when the hole they are covering up 
is also round. It's simplest to cover a round hole with a round cover.

Interviewer: Can you think of a property of round covers that gives them 
an advantage over square ones?

Feynman: We have to look at what is under the cover to answer that 
question. The hole below the cover is round because a cylinder is the 
strongest shape against the compression of the earth around it. Also, 
the term "manhole" implies a passage big enough for a man, and a human 
being climbing down a ladder is roughly circular in cross-section. So a 
cylindrical pipe is the natural shape for manholes. The covers are 
simply the shape needed to cover up a cylinder.

Interviewer: Do you believe there is a safety issue? I mean, couldn't 
square covers fall into the hole and hurt someone?

Feynman: Not likely. Square covers are sometimes used on prefabricated 
vaults where the access passage is also square. The cover is larger than 
the passage, and sits on a ledge that supports it along the entire 
perimeter. The covers are usually made of solid metal and are very 
heavy. Let's assume a two-foot square opening and a ledge width of 1-1/2 
inches. In order to get it to fall in, you would have to lift one side 
of the cover, then rotate it 30 degrees so that the cover would clear 
the ledge, and then tilt the cover up nearly 45 degrees from horizontal 
before the center of gravity would shift enough for it to fall in. Yes, 
it's possible, but very unlikely. The people authorized to open manhole 
covers could easily be trained to do it safely. Applying common 
engineering sense, the shape of a manhole cover is entirely determined 
by the shape of the opening it is intended to cover.

Interviewer (troubled): Excuse me a moment; I have to discuss something 
with my management team. (Leaves room.)

(Interviewer returns after 10 minutes)

Interviewer: We are going to recommend you for immediate hiring into the 
marketing department.

END

Taken from:

http://www.sellsbrothers.com/fun/msiview/#Feynman

I have to strongly agree with one point - why do people keep thinking 
they are just round? I've seen *many* square shaped ones.

-- 
Copywight 1991 Elmer Fudd.  All wights wesewved


                     /\  /\               /\  /
                    /  \/  \ u e e n     /  \/  a w a z
                        >>>>>>mue### [at] nawazorg<<<<<<
                                    anl


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From: Slime
Subject: Re: Round Manholes
Date: 8 Jun 2008 03:31:15
Message: <484b8ac3$1@news.povray.org>
> Really?? What did he think the answer was?

Just so they can't fall in.

 - Slime
 [ http://www.slimeland.com/ ]


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From: Eero Ahonen
Subject: Re: Round Manholes
Date: 8 Jun 2008 04:10:53
Message: <484b940d$1@news.povray.org>
Darren New wrote:
> Actually, I've never seen anyone get the answer write to "why are 
> manholes round."  I almost hope they ask me that at my next job 
> interview, because the interviewer probably doesn't know either. ;-)
> 

You know, I had to check what a "manhole" actually is - and I waited for 
some seriously wrong answers from Google, but the first answers actually 
covered my actual question.

-- 
Eero "Aero" Ahonen
    http://www.zbxt.net
       aer### [at] removethiszbxtnetinvalid


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From: John VanSickle
Subject: Re: Round Manholes
Date: 8 Jun 2008 04:40:03
Message: <484b9ae3$1@news.povray.org>
Darren New wrote:
> Actually, I've never seen anyone get the answer write to "why are 
> manholes round."  I almost hope they ask me that at my next job 
> interview, because the interviewer probably doesn't know either. ;-)

The snarky answer is "because manhole covers around round" is the 
punchline of a joke, but does not answer the serious question at hand.

A manhole is *circular* minimize the amount of extra material needed to 
make it impossible for the cover to fall into the manhole.

The manhole has a certain radius.  The manhole cover has a slightly 
higher radius.  In every direction, the diameter of the cover is larger 
than the diameter of the hole, taken in any direction.  This is 
accomplished if the cover's radius is even a millimeter larger, although 
to allow for wear and the thermal expansion of the hole or contraction 
of the cover, a larger difference--no more than a centimeter--is prudent.

With any other shape, the required amount to ensure non-falling-in 
behavior is larger.  A square, or a pentagon, or any n-gon, is larger 
from corner to opposing corner (or most opposing corner for n-gons with 
an odd number of vertices) than from side to opposing side (or corner to 
opposing side).  If the difference is larger than the extra amount added 
on to make the cover bigger than the hole, the lid falls in, and so the 
extra amount would need to be larger.

Minimizing the extra material is important because manhole covers are 
heavy; adding to the radius greatly increases the weight of the cover, 
because the weight is proportional to the area times the thickness. 
Area is proportional to the square of the radius.  As any programmer can 
tell you, when faced with an O(n^2) problem that is unavoidable, you 
make n as small as you can.

Also, a circular manhole fits in any direction.  A polygonal manhole 
cover has to be turned to fit, or else be picked up again (these things 
are heavy) or the corners will wear (or break) off after a bunch of 
near-misses.

Regards,
John


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From: Warp
Subject: Re: Round Manholes
Date: 8 Jun 2008 05:32:14
Message: <484ba71e@news.povray.org>
John VanSickle <evi### [at] hotmailcom> wrote:
> A manhole is *circular* minimize the amount of extra material needed to 
> make it impossible for the cover to fall into the manhole.

  Are you sure it's a question of minimizing material and not simply because
it's the *simplest* possible solution for the problem (ie. avoid the cover
to ever fall into the manhole)?

-- 
                                                          - Warp


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From: somebody
Subject: Re: Round Manholes
Date: 8 Jun 2008 10:38:36
Message: <484beeec$1@news.povray.org>
"Darren New" <dne### [at] sanrrcom> wrote
> somebody wrote:

> >> Just hope that they don't ask you to write the answer...

> Yes. Blame the tequila.  (I knew someone would bring that up. :-)

> > Which, by the way, is of course "because the covers are round".

> Nope.

Wrong you are, but if you want a more verbose answer:

In "space", the natural shape for anything is a sphere (maximal symmetry for
anything finite). On the surface of the earth, gravity breaks symmetry
(vertical axis is different from the others) so spherical symmetry reduces
to cylindrical symmetry. The natural symmetry for *anything* on the surface,
barring any other constraints, is therefore cylindrical. Since there
typically is no good reason (ask not why is X, but why is not not X) to make
manhole covers non-cylindrical, most are cylindrical. Hence the holes.


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From: Darren New
Subject: Re: Round Manholes
Date: 8 Jun 2008 11:29:34
Message: <484bfade@news.povray.org>
somebody wrote:
> typically is no good reason (ask not why is X, but why is not not X) to make
> manhole covers non-cylindrical, most are cylindrical. Hence the holes.

Errr, no. Indeed, if you actually look, most manholes on the *sidewalk* 
are not round. And even small "manholes" like for meters and such, as 
big as your spread hand, are round when they're in the street.

Chances are you won't just guess unless you've actually ever seen the 
outside of a manhole.

Given the hint that they're all round in the street and they're not 
round on the sidewalk... any more takers?

(As for the "so it won't fall in the hole" bit, people invented hinges 
long before they invented manholes.)

-- 
   Darren New / San Diego, CA, USA (PST)
     "That's pretty. Where's that?"
          "It's the Age of Channelwood."
     "We should go there on vacation some time."


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From: Darren New
Subject: Re: Round Manholes
Date: 8 Jun 2008 11:32:32
Message: <484bfb90$1@news.povray.org>
John VanSickle wrote:
> A manhole is *circular* minimize the amount of extra material needed to 
> make it impossible for the cover to fall into the manhole.

Are you guessing, or have you actually (say) worked someplace that 
designs manholes? :-)

> Minimizing the extra material is important because manhole covers are 
> heavy; 

Even six-inch wide manhole covers covering holes a foot deep are round.

> Also, a circular manhole fits in any direction.  A polygonal manhole 
> cover has to be turned to fit, or else be picked up again (these things 
> are heavy) or the corners will wear (or break) off after a bunch of 
> near-misses.

Hinges are your friend. :-)

-- 
   Darren New / San Diego, CA, USA (PST)
     "That's pretty. Where's that?"
          "It's the Age of Channelwood."
     "We should go there on vacation some time."


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From: Eero Ahonen
Subject: Re: Round Manholes
Date: 8 Jun 2008 12:29:49
Message: <484c08fd$1@news.povray.org>
Darren New wrote:
> 
> Given the hint that they're all round in the street and they're not 
> round on the sidewalk... any more takers?

I can't actually agree on this, but it can depend on the country etc, so 
that doesn't matter. There's 2 reasons:
1) No corners -> no tire fatalities.
2) Harder pressure on ground surface (there can be tonnes of masses on 
one axle on the street) -> harder construction (cylindrical shape is 
better to handle pressure from outside).

-- 
Eero "Aero" Ahonen
    http://www.zbxt.net
       aer### [at] removethiszbxtnetinvalid


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From: Stephen
Subject: Re: Round Manholes
Date: 8 Jun 2008 13:06:25
Message: <4b4o445usrkuots2r6aq0quq20fffi7bhu@4ax.com>
On Sun, 08 Jun 2008 08:32:33 -0700, Darren New <dne### [at] sanrrcom>
wrote:

>Hinges are your friend. :-)

I'm not sure what you're thinking about but hinges are not your friend
when your talking about manholes. The manhole cover can be left up.
(Naughty, naughty) Also hinges would be a weak point and liable to
break. They would also involve lifting the heavy manhole cover upright
which would take more effort than lifting it up an inch or two and
sliding it away. 
-- 

Regards
     Stephen


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From: pan
Subject: Re: Round Manholes
Date: 8 Jun 2008 13:09:12
Message: <484c1238@news.povray.org>
"Darren New" <dne### [at] sanrrcom> wrote in message 
news:484b0f3d$1@news.povray.org...
> Actually, I've never seen anyone get the answer write to "why are 
> manholes round."  I almost hope they ask me that at my next job 
> interview, because the interviewer probably doesn't know either. 
> ;-)
>
> -- 
>   Darren New / San Diego, CA, USA (PST)
>     "That's pretty. Where's that?"
>          "It's the Age of Channelwood."
>     "We should go there on vacation some time."

Round manholes fit whichever orientation you drop them.
Round manholes cover (usually) cyclindrical access spaces which are
better able to resist ground pressures and (again) permit putting 
thiings
into them without concern for orientation. (Round pegs/square 
holes:
square pegs/round holes).

Lots more reasons, but it is a field question as opposed to some
design or theoretical question: what works best and easiest is
what is done.
If you've ever worked with manhole covers you know it is enough 
work
without having to fit corners.

(also - odds are any sufficeintly sized circular manhole cover will 
fit
the odd hole and the odds are that covers with corners will not
work as a --- cover.)


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From: somebody
Subject: Re: Round Manholes
Date: 8 Jun 2008 14:09:18
Message: <484c204e$1@news.povray.org>
"Darren New" <dne### [at] sanrrcom> wrote in message
news:484bfade@news.povray.org...
> somebody wrote:

> > typically is no good reason (ask not why is X, but why is not not X) to
make
> > manhole covers non-cylindrical, most are cylindrical. Hence the holes.

> Errr, no. Indeed, if you actually look, most manholes on the *sidewalk*
> are not round. And even small "manholes" like for meters and such, as
> big as your spread hand, are round when they're in the street.
>
> Chances are you won't just guess unless you've actually ever seen the
> outside of a manhole.
>
> Given the hint that they're all round in the street and they're not
> round on the sidewalk... any more takers?

That's not a given by a long shot. Manholes here and all places I've seen
are round in the sidewalk too. The city isn't going to maintain two
different types of manholes unless there's a good reason (the sidewalk ones
might be thinner, I naturally did not inspect carefully). The large
rectangular ones you see on sidewalks on cities are not manholes but grills.
There are also rectangular storm drains (some are even formed into an S
shape between the road and the sidewalk for accessibility). However, neither
grills nor storm drains are meant for a "man" to go through a "hole", so are
not manholes, nor are the holes in the ground for meters that you mention.


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From: Jim Henderson
Subject: Re: Round Manholes
Date: 8 Jun 2008 14:16:56
Message: <484c2218$1@news.povray.org>
On Sun, 08 Jun 2008 08:32:33 -0700, Darren New wrote:

>> Also, a circular manhole fits in any direction.  A polygonal manhole
>> cover has to be turned to fit, or else be picked up again (these things
>> are heavy) or the corners will wear (or break) off after a bunch of
>> near-misses.
> 
> Hinges are your friend. :-)

Hinges introduce additional complexity and are subject to breakage under 
stress...

Jim


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From: Warp
Subject: Re: Round Manholes
Date: 8 Jun 2008 16:19:31
Message: <484c3ed3@news.povray.org>
pan <pan### [at] syixcom> wrote:
> Round manholes fit whichever orientation you drop them.
> Round manholes cover (usually) cyclindrical access spaces which are
> better able to resist ground pressures and (again) permit putting 
> thiings
> into them without concern for orientation. (Round pegs/square 
> holes:
> square pegs/round holes).

  You left out the fact that a round cover will not fall into the manhole
no matter how you might screw up opening it.

-- 
                                                          - Warp


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From: Darren New
Subject: Re: Round Manholes
Date: 8 Jun 2008 17:27:26
Message: <484c4ebe$1@news.povray.org>
Warp wrote:
>   You left out the fact that a round cover will not fall into the manhole
> no matter how you might screw up opening it.

And what everyone so far has missed is that roads get repaved. The 
manhole screws into the vault at the bottom (so you can make it flush 
with the surface of the road) and has threads on the outside. When you 
repave the road, the first thing you do is give all the manholes an 
extra crank or two to lift them up an inch or so, so they stay flush 
with the surface of the road after you add more asphalt.

Plus, of course, it takes less metal to make a round cover to cover a 
certain opening than any other shape, which is important when you're 
planning to place millions of manholes and calculating how much your raw 
materials will cost.

-- 
Darren New / San Diego, CA, USA (PST)
  Helpful housekeeping hints:
   Check your feather pillows for holes
    before putting them in the washing machine.


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From: Stephen
Subject: Re: Round Manholes
Date: 8 Jun 2008 17:51:41
Message: <12lo445r9hi7p4ikingffee2cuki2t2fgh@4ax.com>
On Sun, 08 Jun 2008 14:27:26 -0700, Darren New <dne### [at] sanrrcom>
wrote:

>And what everyone so far has missed is that roads get repaved. The 
>manhole screws into the vault at the bottom 

Not in the UK they don't. They are kept in position by gravity. They
lift in and out vertically. 
-- 

Regards
     Stephen


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From: Darren New
Subject: Re: Round Manholes
Date: 8 Jun 2008 18:01:45
Message: <484c56c9@news.povray.org>
Stephen wrote:
> Not in the UK they don't. They are kept in position by gravity. They
> lift in and out vertically. 

Wow. How do they keep them level with the road, then? How do they even 
make them level with the road in the first place?

-- 
Darren New / San Diego, CA, USA (PST)
  Helpful housekeeping hints:
   Check your feather pillows for holes
    before putting them in the washing machine.


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From: somebody
Subject: Re: Round Manholes
Date: 8 Jun 2008 18:25:28
Message: <484c5c58$1@news.povray.org>
"Darren New" <dne### [at] sanrrcom> wrote
> Warp wrote:

> >   You left out the fact that a round cover will not fall into the
manhole
> > no matter how you might screw up opening it.

> And what everyone so far has missed is that roads get repaved. The
> manhole screws into the vault at the bottom (so you can make it flush
> with the surface of the road) and has threads on the outside. When you
> repave the road, the first thing you do is give all the manholes an
> extra crank or two to lift them up an inch or so, so they stay flush
> with the surface of the road after you add more asphalt.

Another incidental benefit, but not the ultimate reason. Manholes have
always been predominantly round, even in cobblestone streets, which are not
designed for repaving higher, and where round bezels are actually often a
*liability* (See
http://images.google.ca/images?hl=en&q=cobblestone%20manhole ). Plus not all
manhole bezels are threaded in.


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From: Tim Attwood
Subject: Re: Round Manholes
Date: 8 Jun 2008 19:25:59
Message: <484c6a87$1@news.povray.org>
Hinged...
http://www.ngs.noaa.gov/PUBS_LIB/GeodeticBMs/images/figure05.jpg

Decorated...
http://barista.media2.org/wp-content/manhole%20japan.jpg
http://www.pinktentacle.com/2007/10/japanese-manhole-covers/

Square...
http://www.tilingandpoolprojects.co.uk/images/manHoleLarge.jpg
http://www.forgotten-ny.com/STREET%20SCENES/manholes/CT&ESC.jpg
http://www.soe.uoguelph.ca/webfiles/wjames/illustrations/AestheticInfrastructure/MHcoverSquareSanitaryPafosCyprus.JPG
http://farm2.static.flickr.com/1320/1431363588_d3de12ea72.jpg?v=0


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From: Darren New
Subject: Re: Round Manholes
Date: 8 Jun 2008 22:21:48
Message: <484c93bc$1@news.povray.org>
somebody wrote:
> Another incidental benefit, but not the ultimate reason. Manholes have
> always been predominantly round, even in cobblestone streets, which are not
> designed for repaving higher,

Well, sure. Are manholes older or newer than paved streets, tho? Once 
you have paved streets and decide you need manholes to be round for 
them, one might decide that one might as well use manholes on paved 
streets, as well?

> http://images.google.ca/images?hl=en&q=cobblestone%20manhole ). 

Funny enough, the first image at that link shows a square manhole for 
me. :-)


-- 
Darren New / San Diego, CA, USA (PST)
  Helpful housekeeping hints:
   Check your feather pillows for holes
    before putting them in the washing machine.


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From: Phil Cook
Subject: Re: Round Manholes
Date: 9 Jun 2008 04:37:25
Message: <op.ucg3ly1gc3xi7v@news.povray.org>
And lo on Sun, 08 Jun 2008 23:01:45 +0100, Darren New <dne### [at] sanrrcom>  
did spake, saying:

> Stephen wrote:
>> Not in the UK they don't. They are kept in position by gravity. They
>> lift in and out vertically.
>
> Wow. How do they keep them level with the road, then? How do they even  
> make them level with the road in the first place?

If you're talking about what I think you are then there are adjustment  
bricks that can be altered to raise or lower the level, but on a new road  
(or a stripped one) the level of the road surface is dictated by the  
ironworks. If an alteration is done then a square is cut around the cover,  
the work is done and that section of road is resurfaced to the level of  
the ironwork. Oh sure there are rules about the degree of difference  
between new and existing surfaces - heh, but this is why we have the lumpy  
bumpy roads we know and love :-P

-- 
Phil Cook

--
I once tried to be apathetic, but I just couldn't be bothered
http://flipc.blogspot.com


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From: Stephen
Subject: Re: Round Manholes
Date: 9 Jun 2008 04:50:55
Message: <7lrp44p108ghg43c1599sk82cubs8m8l5j@4ax.com>
On Mon, 09 Jun 2008 09:38:12 +0100, "Phil Cook"
<phi### [at] nospamrocainfreeservecouk> wrote:

>If you're talking about what I think you are
...

Thanks Phil, you said it just as well as I could or better :)
-- 

Regards
     Stephen


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From: Phil Cook
Subject: Re: Round Manholes
Date: 9 Jun 2008 04:58:10
Message: <op.ucg4khx8c3xi7v@news.povray.org>
And lo on Mon, 09 Jun 2008 09:50:37 +0100, Stephen <mcavoysAT@aolDOTcom>  
did spake, saying:

> On Mon, 09 Jun 2008 09:38:12 +0100, "Phil Cook"
> <phi### [at] nospamrocainfreeservecouk> wrote:
>
>> If you're talking about what I think you are
> ...
>
> Thanks Phil, you said it just as well as I could or better :)

My pleasure. Not that I, you know, take any real interest in road surfaces  
:-P

-- 
Phil Cook

--
I once tried to be apathetic, but I just couldn't be bothered
http://flipc.blogspot.com


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From: Stephen
Subject: Re: Round Manholes
Date: 9 Jun 2008 05:06:55
Message: <misp44tpgfbh872fbqeka9v7frfq52al5n@4ax.com>
On Mon, 09 Jun 2008 09:58:55 +0100, "Phil Cook"
<phi### [at] nospamrocainfreeservecouk> wrote:

>
>My pleasure. Not that I, you know, take any real interest in road surfaces  
>:-P

I understand and it has been many years since I inspected gutters
close up :)
-- 

Regards
     Stephen


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From: John VanSickle
Subject: Re: Round Manholes
Date: 10 Jun 2008 07:15:25
Message: <484e624d$1@news.povray.org>
Warp wrote:
> John VanSickle <evi### [at] hotmailcom> wrote:
>> A manhole is *circular* minimize the amount of extra material needed to 
>> make it impossible for the cover to fall into the manhole.
> 
>   Are you sure it's a question of minimizing material and not simply because
> it's the *simplest* possible solution for the problem (ie. avoid the cover
> to ever fall into the manhole)?

It is the simplest solution, but if another solution used less material, 
economics would drive one of those solutions.

Regards,
John


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