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Questions and Responses
Set 4, posted March 15, 1999
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Question:
I was wondering what the story is with the rope. Is there
any archaeological evidence of what kinds of ropes the
Egyptians used, and are you trying to duplicate that? Or are
you using modern types of rope?
koven New York
Response from Owain Roberts:
Well, we can't use what the ancient Egyptians had, because
we can't get rope these days of alfalfa grass of the quality
we think they would have used. So we're going for the next
best thing we can get, which from the appearance of it is, I
believe, a sisal hemp. It is more than adequately strong and
probably on par with the strength of any rope the Egyptians
had. I don't think we're exceeding the strength they would
have had. We don't really know what kind of bends and
hitches and knots they tied. We know they were into bindings
and lashings with rope, so we'll have to go down that
route.
Response from Mark Lehner:
It's a good question, because rope is the linchpin of
everything we did on the NOVA programs 'This Old Pyramid'
and 'Obelisk.' Pulling, lashing, building scaffolding, and
rigging like they use in their boats, which they may have
successfully used to raise obelisks—it all depends on
rope and the quality of rope. There's a science to rope that
we found out in 'This Old Pyramid.' We got a whole bunch of
rope, and quarrymen who had experience in pulling heavy
stones looked at it, spat, and said, 'That's no good, it's
too dry.' And sure enough, when we hooked it around a
three-ton block, just like that, it snapped. It has to be
oiled. We're learning more and more about the power of
rope.
Question:
Why don't you use the sled and A-frame idea, but then use
the sled to help push the obelisk up?
(name witheld by request)
Response from Henry Woodlock, Whitby Bird & Partners:
There are two major problems with sliding the obelisk down a
slope on its sled. First, you don't really have control. It
is not so bad on a short obelisk as with the one used in the
first NOVA Obelisk program, but getting the obelisk on line
as it slides is very difficult. Second, pulling the obelisk
up with an A-frame requires tremendous force, because you
are working against the weight of the stone all the time.
Just imagine the number of people required to pull up a
400-ton stone in this manner—you are talking about
thousands of laborers!
Question:
I would first cut the thing from the bottom, then use a
crane and a lever.
(name witheld by request)
Response from Henry Woodlock, Whitby Bird & Partners:
I'm not sure what you mean by 'cut from the bottom,' but I
presume you mean an ancient crane! In a sense, we will
investigate ancient lifting gear when we try to pull the
butt end of the obelisk down. By combining timber members in
compression and rigging in tension, we have a type of crane
system off the end of the obelisk, giving us additional
leverage to rotate the obelisk.
Question:
Perhaps they dug canals to the spot where they wanted to put
the stone and brought it there from quarries by the river,
by raft, and then dug a deep hole at the end of the small
canal, and slid the obelisk off the raft and in to the deep
hole while pulling on it with ropes, then filling up the
canal and holding the stone in place until the earth
dried—just a thought.
Austin, TX
Response from Owain Roberts:
Well, rafts are not suitable, because the amount of buoyancy
available on a raft isn't sufficient—even in a big
raft—to float an obelisk weighing, say, 300 tons.
There has to be a boat or combination of boats. Then it's
necessary to work out how they actually loaded the boats.
The big problem, of course, is stability. Having no cranes,
what method did they use? We hope to show that here in Egypt
in the next few days.
Question:
Your Q&As lead me to two suggestions and one observation:
-
The first technique refines the pivot approach. Use
rollers to move up a ramp to the height of the center of
gravity, with the lower portion extending off the end.
The outsides and end of the ramp should project forward
on each side of the base and be stone-reinforced,
leaving a clear vertical column. Attach a pivot at
center of gravity, which should be over the clear
column. Hang 'baskets' at each end of the obelisk with
rocks for counterbalancing. Gradually shift the rocks,
using ropes for control as the shifting weights do the
moving. Resulting operation looks like a balance with
the obelisk as the beam. (Depends on a strong pivot.)
-
Using the A-frame with pullers' ropes at the top and
ropes to the obelisk at the cross beam: use two or three
frames in a row to multiply the leverage, working off a
ramp significantly higher and opposite the obelisk's.
Pull, brace, shorten rope to obelisk; repeat.
-
Observation: the large projects such as a pyramid would
have done far more than binding the nation through
socialization during the period of 'draft' labor. It
would have created a national language: reinforcing a
'governmental version' over dialects from remote areas;
and bringing in minorities speaking other languages
altogether. It also would have served as a schooling
system with practical applications of writing,
calculating, and engineering techniques, which would
have increased commerce and the living standard. The
resultant prosperity would have been a magnet to
outlying peoples (such as the Israelites). The newcomers
would, in turn, contribute additional knowledge,
manpower, and demand, accelerating the growth.
Karl Veit Washington, DC
Response from Henry Woodlock, Whitby Bird & Partners:
The suggestion incorporates the principles of what we are
trying to do in this experiment. (See
'Second Chance'.) We are attempting to use the weight of the obelisk to
our advantage by pivoting it close to the center of gravity
(CG). The problem with pivoting the stone exactly about its
CG is that as soon as rotation begins, the CG is beyond the
pivot and the obelisk wants to move on its own. This is
difficult to control!
-
That's why we are placing the pivot in front of the CG
so that we can rotate it to about 60 degrees before the
obelisk wants to rotate on its own. At 60 percent the
free rotation is easier to control. To pull the butt end
of the obelisk down to get rotation, we can use two
methods. The first is by using counterweights as you
suggest. The second is to use men pulling horizontally
on vertical ropes attached to the butt end as described
by Mark Whitby in
the e-mail with Andrew Kulich below.
-
The problem with A-frames is both the strength of the
A-frame itself and also the number of people required to
pull. Many obelisks are placed in pairs, meaning that
there is no space to locate a run-off ramp beyond the
obelisk for the A-frames. This would need to be
positioned where the first obelisk is already
standing.
-
One of the biggest lessons learned from the pulling
exercise yesterday is how important organization of
labor is on an operation like this. There can be little
doubt that the workers, even those simply tasked with
pulling on ropes, would have been well drilled and very
skilled at what they were asked to do. Also, the chain
of command and communication are vital in such a tricky
operation. For example, you mention language. This is a
major factor in our experiment. The translation between
English and Arabic takes time, when decisions are often
being made in split seconds. For the raising, we are
considering using colored flags for certain key commands
to speed up the communication.
Question:
Why not tie wood to the sides of the obelisk and divert the
Nile and float it to the place it needs to go and plop it in
the hole?
(name witheld by request)
Response from Owain Roberts:
This question has the same problem as the one about floating
it on a raft (see above). You just wouldn't be able to tie
enough wood to the obelisk to float it. It would have to be
a boat.
Question:
The method for raising an obelisk would work the same way as
we developed for another primitive, though modern-day
monument raising in the desert, Burning Man. The technique
we employ to raise our annual one-ton, 40-foot rigid
monolithic structure on a flat plane, from horizontal to
vertical, using human power and age-old technology, is a
lever. This form of lever we call a boom.
Materials needed for proposed obelisk raising: rope, wood,
people.
With obelisk lying on ground, build a four-legged tower the
height of the obelisk, just in front of the base end. The
tower will have to be sturdy enough that the front two legs
will be able to support half the weight of the obelisk. Haul
rope, strong enough to lift over half the obelisk's weight �
or several ropes that sum equal strength—over the top
of the tower and attach to the top end of the obelisk. The
length of the rope—to be determined by how many people
are spaced along it to pull half the weight of the
obelisk—is fed in the opposite direction. Four guide
ropes are needed: one on each side to prevent sideways
swinging: one from the rear to keep from toppling forward:
and one spanning from the top end of the obelisk to the top
of the tower. With this last guide rope in place, remove the
back two legs of the tower, allowing the tower to pivot
downward as the obelisk raises.
With our boom-lever system in place, we now need only enough
people to pull the weight of less than half of the obelisk
(remember we're lifting the skinny end). The number of
people could be further reduced by using counter-weighting
and multiple booms or block-and-tackle pulleys.
Dan Miller San Francisco, CA
Response from Mark Whitby:
This is an interesting way of doing it. The problem is that
if an obelisk weighs 200 tons, you're saying you're going to
have to pull over 100 tons. Now, the first thing is that the
tower is as tall as the obelisk, so the angle up the side of
the rope you're pulling is at 45 degrees. Forty-five degrees
means you've got root 2 of the weight of the obelisk, which
is 1.3. So, the 100 tons of the obelisk is now multiplied up
to 132 tons, which is the pulling force.
Now, the way we calculate the pulling force for a person is
that, at maximum, a person can pull his own weight. At
maximum, while pulling on a rope, he inclines himself at 45
degrees, puts his weight down vertically, and pushes with
his feet. If he pushes too hard, the rope pulls them back
up, and the only thing countering that is his weight. This
is the theory we work on. So let's say that the weight of a
person is 100 weight (112 pounds), which is a slight
underestimation. There are 20 of those to the ton, so to
pull 130 tons, you need 20 times 130, which is 2,600 people.
This is why I think this method is a little bit
questionable.
Also, if you took a very tall obelisk, and the height of
that obelisk is such that the tower is pulling against it is
going to have to be of an equal height—that again has
its own issues, in that the structure you're building is an
80-foot tower made out of bits of timber. You'd have to make
it strong—yes, all is possible in this day and age,
but I'm not sure that necessarily they would have gone for
that. The way we're looking at it, we're going to reduce the
number of people down to 150, and maybe even less than that
to pull this obelisk to vertical.
Question:
To increase the mechanical advantage of pulling ropes, skip
the pulleys. You can achieve greater advantage by anchoring
the end of two ropes and then pull the two ropes in the
middle with equal force in opposite directions perpendicular
(y-direction) to the direction you want to pull
(x-direction). The force exerted in the x direction is equal
to two times the y-direction force divided by the sine of
the angle the ropes make to the x direction. The less of an
angle you have, the greater of a force you direct in the x
direction. So a few people pulling on ropes tied to the
middle of the main pulling ropes can exert plenty of pulling
power. Think of putting a small weight in the middle of a
string, then try pulling the string tight horizontally. No
matter how hard you pull, you can never get the string
perfectly horizontal. The heavier the weight the harder you
have to pull.
P.S. I thing it was a combination of the levers to get it
started, Then the above with an A-frame to increase leverage
is what they used.
Andrew Kulich Rochester, Minnesota
Response from Mark Whitby:
The method described by Andrew Kulich is exactly what we're
proposing. (See
'Second Chance'.) The principle is this: We've got the obelisk with the
center of gravity slightly back from the pivot point. We
will need to apply a load on the base end to upset it. The
first pull will be the biggest one. We'll bring it down by
pulling on a frame that is fixed to the butt-end of the
obelisk and that extends out beyond the end. The frame,
which is very similar to frames they have on boats, will be
windlass-tight to begin with.
We will have four sets of ropes come down off the end of the
frame, and those will be pulled in a direction perpendicular
to the lie of the obelisk. We don't want to apply a
horizontal force to the obelisk, or we run the danger of
pulling the obelisk forward and pulling the pivot off its
bearings. So we will pull it sideways, and we will actually
get a six-to-one mechanical advantage.
We will windlass them tight—we will actually lash the
windlass to the pulling rope—and we'll have another
pair of ropes that we'll anchor down so the butt end comes
down. We'll pull those back over a block and anchor them.
Then we'll release the pair of ropes, which will allow a bit
of recovery in the obelisk's position. Hopefully it won't go
back to the beginning, otherwise we'll have gotten nowhere.
And then we'll pull again. We'll always have a long length
of rope to give us a maximum mechanical advantage.
As the system develops, and the center of gravity, which is
behind the roller, rotates upwards and comes to a point
where it's vertically over the roller, at that point the
obelisk is in balance. Any further movement will mean that
the obelisk will take over and move at its own accord. At
that point we'll have to be really careful. That angle is
why we've set the rotation point in the place we have. What
we want to do is have it as near to vertical as possible. It
is quite an interesting problem; it sets up the whole
geometry for the height of the ramp and everything. From
that point onwards, it doesn't matter how big an obelisk
you're dealing with. That's the sort of arrangement you'd
like to have, because it's all similar proportions.
Question:
Might the ancient Egyptians have lost an obelisk or two in
the Nile? Where would you look for them?
Alex Whitby London, England
Response from Mark Whitby:
They obviously shipped very large things, such as obelisks
and 800-ton colossi, out of Aswan. Let's say they used boats
to transport them. It's conceivable that a few of these
boats would not have made it. An obelisk may have been
stowed incorrectly, or a boat may have been overloaded. I
would have thought that it would have been very soon after
their departing from Aswan that they would have capsized.
It's most likely that it was very early on—once they'd
got an idea of how to cope with it they would have been all
right. And if they were sailing, obviously it could have
been when they got caught by a strong wind.
We haven't identified a loading area near to Aswan; the bank
here is pretty rocky and steep. But I think they must have
found a way to drag them down to a flat site where they
could pretty easily load them. I think it must be somewhere
down here near Aswan.
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