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Is the Gateway Arch a Parabola?
IntMath.com ^ | 06-May-2010 | Murray Bourne

Posted on 02/09/2017 9:11:59 PM PST by grey_whiskers

The Gateway Arch in St Loius, Mo., USA, is part of the Jefferson National Expansion Memorial.

The shape of the arch certainly looks like a parabola, but is it?


(Excerpt) Read more at intmath.com ...


TOPICS: Government; History; Science; Weird Stuff
KEYWORDS: catenary; gatewayarch; mathematics; science
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To: rlmorel
I must say, I was very disappointed. I always had this vision of it as something far, FAR larger than it was. I know my incorrect perception was on me, but...it just seemed so small.

How close were you?? It's huge!

41 posted on 02/09/2017 11:51:10 PM PST by DouglasKC
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To: grey_whiskers

https://www.youtube.com/watch?v=Ro3EEPawrKo


42 posted on 02/09/2017 11:59:25 PM PST by cynwoody
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To: zerosix; rlmorel

Agreed.

Stand near the base, and it’s hard to really take it all in.

Look out from the top, and it becomes QUITE impressive.

Interesting story: Some years back, there was a moderate earthquake in nearby So. Illinois: People visiting the Arch for the 1st time thought the swaying of the structure was normal / just the wind. The employees who happened to be at the top at the time were the ones more worried.

That said, I believe the structure is thought to be fairly earthquake resistant.


43 posted on 02/10/2017 12:49:15 AM PST by Paul R.
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To: SpaceBar; Fungi; Salamander; JoeProBono; 50mm
" In a hanging catenary each linear element is in pure tension since a net torque would cause them to reposition themselves."

Don't be so obtulescent.

It's obvious that the differential function of the isoperimetric inequalities would cause minimalist surface tension among the members of the oscillococcinum with resultant discohesive instability in the non-variant oblistructures.

Not only that, but once the cake has been out in the rain, you'll never have that recipe again, no matter how much yeast you use.

(In the non-theoretical world, a "catenary" is the hybrid monster that resulted when Dr. Moreau performed perverse xenomorphic experiments on Sylvester and Tweety.)

44 posted on 02/10/2017 1:08:32 AM PST by shibumi (Cover it with gas and set it on fire.)
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To: DouglasKC

Like the Eiffel—from six or seven miles, not so much. ( /s )


45 posted on 02/10/2017 2:12:36 AM PST by imardmd1 (Fiat Lux)
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To: shibumi
(In the non-theoretical world, a "catenary" is the hybrid monster that resulted when Dr. Moreau performed perverse xenomorphic experiments on Sylvester and Tweety.)

You rat b@st@rd! Good thing my coffee is still brewing or you'd owe me a new keyboard!

46 posted on 02/10/2017 4:03:17 AM PST by grey_whiskers (The opinions are solely those of the author and are subject to change without notice.)
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To: imardmd1; All
From Wikipedia...

A Catenary Arch has a uniform thickness.

However, if

a) the arch is not of uniform thickness, [1],
b) the arch supports more than its own weight, [2],
c) if gravity varies, [3],

it becomes more complex. A weighted catenary is needed.

Note that “aspect ratio” is important, which see, [4], [5].
The Saint Louis arch: fat at the bottom, skinny at the top.

Examples:

The Gateway Arch in the American city of Saint Louis is the most famous example of a weighted catenary.

Simple suspension bridges use weighted catenaries, [6], or parabolas, [7], [8].


The Saint Louis arch: fat at the bottom, skinny at the top.

https://en.wikipedia.org/wiki/Weighted_catenary


47 posted on 02/10/2017 4:05:15 AM PST by ETL (Trump admin apparently playing "good cop, bad cop" with thug Putin (see my FR Home page))
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To: grey_whiskers

The official terms from the administration of the Gateway Arch (Jefferson National Expansion Memorial - a unit within the National Park Service), the Arch is an inverted cantinary (sp?) curve. The mathematical formula defining the Arch is available at the information desk in the visitor center.

It tapers gradually from the base, 54 ft. on each side of the equilateral triangle to 17 ft. at the top center.

There are freepers everywhere.


48 posted on 02/10/2017 4:25:00 AM PST by ferg flute
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To: grey_whiskers

Arch btt


49 posted on 02/10/2017 4:31:13 AM PST by KSCITYBOY (The media is corrupt)
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To: shibumi


50 posted on 02/10/2017 4:58:32 AM PST by JoeProBono (SOME IMAGES MAY BE DISTURBING VIEWER DISCRETION IS ADVISED;-{)
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To: moonhawk

Hahahaha...I guess only if I had been drinking and seeing double!


51 posted on 02/10/2017 5:06:57 AM PST by rlmorel (Orwell described Liberals when he wrote of those who "repudiate morality while laying claim to it.")
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To: Paul R.; zerosix; DouglasKC; Tucker39

I know...I drove by on a highway at night after I had been on the road for about 12 hours...I think I had seen the documentary on it years ago, and it made me think it was a lot bigger than it was.


52 posted on 02/10/2017 5:10:08 AM PST by rlmorel (Orwell described Liberals when he wrote of those who "repudiate morality while laying claim to it.")
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To: grey_whiskers

I’m just relieved that all the clickbait headlines have stopped screaming about things going “parabolic!”


53 posted on 02/10/2017 5:10:54 AM PST by RegulatorCountry
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To: Gene Eric

I heard a parable about a parabola but it was all hyperbole.


54 posted on 02/10/2017 7:57:38 AM PST by Larry Lucido
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To: lafroste

#3 You are so smart.
Now answer this: Fig Newtons are named after?
The scientist or the town in Massachusetts? : )


55 posted on 02/10/2017 1:50:43 PM PST by minnesota_bound
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To: grey_whiskers

This was to be the largest McDonalds but the democrats stopped the building when it was half down.


56 posted on 02/10/2017 1:52:25 PM PST by minnesota_bound
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