The problem with the traditional space elevator, as described below, is that the cable must be made of an extremely strong material, relative to its density. The only existing material known to approach this ratio is the carbon nanotube, but no one knows how to make a cable out of them.

I wrote about the physics of space elevators here:

"Stairway to the heavens," Physics World, December 2011.
http://www.davidappell.com/articles/PWDec11appell-space_elevators.pdf

David

On 8/18/2015 11:19 AM, Greg Rau wrote:
In contrast to towers, what about this?:
"A space elevator is a proposed type of space transportation system.[1] Its 
main component is a ribbon-like cable (also called a tether) anchored to the surface 
and extending into space. It is designed to permit vehicle transport along the cable 
from a planetary surface, such as the Earth's, directly into space or orbit, without 
the use of large rockets. An Earth-based space elevator would consist of a cable 
with one end attached to the surface near the equator and the other end in space 
beyond geostationary orbit (35,800 km altitude). The competing forces of gravity, 
which is stronger at the lower end, and the outward/upward centrifugal force, which 
is stronger at the upper end, would result in the cable being held up, under 
tension, and stationary over a single position on Earth. Once the tether is 
deployed, climbers would repeatedly climb the tether to space by mechanical means, 
releasing their cargo to orbit. Climbers would also descend the tether to
  return cargo to the surface from orbit.[2] "   
https://en.wikipedia.org/wiki/Space_elevator

Greg
--------------------------------------------
On Tue, 8/18/15, Chris Burgoyne <[email protected]> wrote:

  Subject: Re: [geo] space elevator
  To: [email protected]
  Cc: "Peter Davidson" <[email protected]>, "Hugh Hunt" 
<[email protected]>
  Date: Tuesday, August 18, 2015, 9:57 AM
We considered
  towers quite seriously as
        part of the SPICE project for delivering particles to
  the
        stratosphere.  See the full paper
Davidson P, Burgoyne C.J., Hunt H.E.M. and
  Causier
          M.L.T.C., Lifting
            options for Stratospheric Aerosol
  Geoengineering: Advantages
            of Tethered Balloon System. Proc
  Roy. Soc A. 370/1974
          4263-4300, Sep 2012.
  doi:10.1098/rsta.2011.0639.
http://www-civ.eng.cam.ac.uk/cjb/papers/p77.pdf and a shorter version Burgoyne C.J., Hunt H.E.M., Davidson P. and
  Causier M.L.T,
        Structures
            for Stratospheric Particle Injection,
  Paper P-0047
        IASS-IABSE Symposium “Taller, Longer, Lighter”,
  London Sept 2011.
http://www-civ.eng.cam.ac.uk/cjb/papers/cp94.pdf The issue for tall towers is not strength but
  stiffness.  They
        would buckle under their own weight unless made very
  wide.
We showed in the second paper (equation 2) that the
  critical
        buckling length is governed by a material property
  (the ratio
        (E/rho.g) where E is the Young's Modulus and rho
  is the density; g
        is gravity) and a geometric property (the ratio of the
  radius of
        gyration to the length).  These are multiplied by a
  number that
        depends on how the tower tapers to the top but that
  need not
        bother us here.
The important point is that you don't get much
  choice about these
        ratios.  About the highest material ratio is given by
  Carbon Fibre
        Reinforced Plastic (CFRP) which has a similar
  stiffness to steel
        but a quarter of the density.  Almost all other
  engineering
        materials fall within these two extremes.  What you
  really want to
        do is to maximise Youngs Modulus and minimise
  density.  But it
        should be noted that even the most exotic materials
  only have a
        stiffness that is about twice that of CFRP (because
  they are
        limited by the STIFFNESS (not strength) of the C-C
  bond), and very
        few engineering materials have a much lower density.
  In addition,
        the geometric ratio can't change much.  The
  radius of gyration of
        a solid circle of radius R is R/2.  For a thin
  circular tube it is
        R/SQRT(2) (and interestingly independent of the
  thickness).  No
        matter how you play with the internal structure of the
  tube you
        are going to be somewhere within this range.  We
  based our SPICE
        work on the assumption that the best you could do was
  to use CFRP
        as a thin tube, which is about as good as you can get
  with any
        material we currently know about.
What about the inflated tube? The problem with this,
  assuming you
        could design one that you could actually build, is
  that it would
        be subject to the same problems of self-weight
  buckling.  The
        internal pressure is a self-equilibrating system; when
  the tube
        starts to buckle globally the internal volume does not
  change, so
        no work is done on the internal air and thus it does
  not help to
        resist the buckling action.  The inflation might help
  to resist
        local buckling (dimpling of the external surface) but
  that isn't
        the issue.
For the SPICE project we decided that the tower should
  be ruled
        out on the basis of this simple analysis alone, so we
  did not go
        on to consider the effects of lateral wind loads (or
  the Coriolis
        forces you would generate on a moving lift).  These
  would have the
        effect of moving the tower sideways so it would be as
  though you
        had built a non-straight tower.  These initial
  imperfections would
        dramatically reduce the tower's capacity to resist
  buckling which
        would make the situation even worse.
It is possible to make quite impressive blow up towers
  at
        laboratory scale, because at this scale it is local
  buckling that
        dominates the behaviour, but not at the scale needed
  for
        geoengineering (or to get into space) where global
  behaviour
        matters.
As most readers probably know, we ended up proposing a
  balloon
        supporting a pipe up which "stuff"
  (undefined) could be pumped.
        We were initially quite surprised how expensive the
  tower was and
        how cheap the balloon.  The difference is that the
  balloon system
        is completely in tension (which lightweight materials
  like) rather
        than in compression, which they don't.  See the
  concluding page of
        the second paper.
Chris Burgoyne Prof of Structural Engineering University of Cambridge On 18/08/2015 16:14, Andrew Lockley wrote: Traditional space elevators are under
  tension. It's
          just a taut wire you go up and down (hence very
  narrow, and thus
          resistant to wind shear) . This is a big fat tower,
  and it's
          under compression . The graphics don't show any
  tethers or
          taper, and the sides are not obviously wind
  permeable. This
          means the torque at the base will be enormous.
  It's just not
          clear how it will actually stay up.
        A
        On 18 Aug 2015
  16:04, "Julia Calderone"
          <[email protected]>
          wrote:
Hi All, I'm a science science journalist at Tech Insider and am
  writing about
                the space elevator that Dr. Boucher dropped in
  here
                yesterday.
I am looking for some expert commentary on
  the
                feasibility of this tower. What distinguishes
  this one
                from other "space elevators"
  proposed in the past? How
                likely is it to work? Are the designs  and
  engineering
                scientifically sound?
If anyone would like to chime on, please
  drop me a line
                — I'd greatly appreciate the
  help.
Thank you very much! My best,
              Julia Calderone
On Mon,
  Aug 17, 2015 at 7:20 PM,
                Alan Robock <[email protected]>
                wrote:
Dear Olivier, I discussed this option in: Robock, Alan, Allison B. Marquardt, Ben
  Kravitz, and
                    Georgiy Stenchikov, 2009:  The benefits,
  risks, and
                    costs of stratospheric geoengineering.
   Geophys.
                      Res. Lett., 36, L19703,
                    doi:10.1029/2009GL039209.    
http://climate.envsci.rutgers.edu/pdf/2009GL039209.pdf
You'll see the tower in Figs. 1
  and 3.  See
                    Section 4.4 for discussion of this
  option.
Figure 1. Proposed methods of
  stratospheric aerosol
                    injection. A mountain top location would
  require less
                    energy for lofting to stratosphere.
  Drawing by Brian
                    West.
Alan Alan Robock, Distinguished Professor
    Editor, Reviews of Geophysics
  Department of Environmental Sciences             Phone: +1-848-932-5751
  Rutgers University                                 Fax: +1-732-932-8644
  14 College Farm Road                  E-mail: [email protected]
  New Brunswick, NJ 08901-8551  USA     http://envsci.rutgers.edu/~robock
                                            http://twitter.com/AlanRobock
  Watch my 18 min TEDx talk at http://www.youtube.com/watch?v=qsrEk1oZ-54
On 8/17/15 1:26 PM, Olivier
  Boucher wrote:
Hello, this is relevant to SRM by
  stratospheric
                          particles
http://www.independent.co.uk/news/science/a-canadian-company-is-planning-to-build-a-tower-thats-20km-high-and-could-making-flying-to-space-like-taking-a-passenger-jet-10459058.html http://thothx.com/news-2/ although I don't know how
  realistic and advanced
                          the plans are...
Regards, Olivier -- You received this message because you
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To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/geoengineering. For more options, visit https://groups.google.com/d/optout. -- Julia Calderone
                  Science
                      Writer
Cell: (818)
                        209-0926
Email: [email protected]
                  Web: www.juliacalderone.com
Twitter: @juliacalderone --

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