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Dams are structures that hold water back
and control its elevation.
For thousands of years, and in nearly every civilization,
they have been used to store water,
facilitate irrigation,
control flooding,
and provide the elevation changes needed
to extract power from flowing water.
As the first video in this series showed,
water exerts pressure on any surface that it contacts,
and the magnitude of that pressure is proportional to the depth, h.
For a dam to do its job, it must resist the forces generated by these pressures.
Common strategies for doing so include buttress dams,
embankment dams
and arch dams.
To make ponds for mills
and to control water elevation in rivers,
another strategy is often used.
It consists of vertical piers
with straight, horizontal members between them.
The water pressure that pushes against
these horizontal members is carried by bending,
and so these members function as beams.
We can build a dam that works in this way
using a flat sheet of cardstock
to represent the horizontal beams.
We insert the ends of the sheet
into the grooves of the Plexiglas box
so that they can support it, like the piers of a real dam.
For simplicity, we use marbles to represent the water.
Which part of the dam do you think will collapse first?
The top?
The middle?
The bottom?
As the depth of the model water increases,
the cardstock bends, until the dam collapses,
unable to resist the lateral loads.
The marble depth that produced failure is 4 centimeters,
and as you can see, failure started at the bottom.
That should not be surprising,
since the pressure is greatest there.
Another strategy for making a dam
is to use an arch laid on its side, like this.
If you watched our "Arches and Chains" video,
you will know that arches can be very effective in load carrying
and that they carry load by compression.
To build an arch dam,
we make the cardstock panel a little longer
than the distance between the grooves.
Then when we install it,
it automatically curves into an arch shape.
As we pour in the marbles, raising the model water level,
the cardstock resists the resulting pressure
by compression, just like an arch.
As you can see, an arch shape like this
can carry a greater depth of marbles
than our earlier flat design.
Even so, the arch dam also eventually collapses
when the model water level
reaches a depth of 9 centimeters.
As before, failure begins at the bottom of the dam
because the pressure is greatest there.
As this model has demonstrated,
an arch-shaped dam can support
a much greater depth of marbles or water
than a corresponding flat one.
That is why arch dams are so often used for big, tall dams.
As a side note, you might be interested to know
that the concrete in tall arch dams
is usually made thicker toward the bottom
so that it can better resist
the higher water pressures there.
We hope that this video helped you
to better understand how flat
and arch-shaped dams work.
To learn more about how soil and water interact
with other kinds of structures,
we hope you will view more of the videos in this series.


7. Dams

52 タグ追加 保存
Jeff 2020 年 6 月 23 日 に公開
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