[net.origins] The Mathematics of Powerlifting and the case of the Ultrasaur

ted@imsvax.UUCP (Ted Holden) (09/03/85)

               Immanuel  Velikovsky  believed,  David  Talbott  believes, I
          believe, and the various contributors and  readers of  the Kronos
          Journal believe  that, less  than 10,000 years ago, there existed
          on this planet an age of  wonder,  a  true  golden  age  when, as
          Hesiod and  Ovid claimed, Cronos (Saturn) was the king of heaven.
          This was an age when the inhabitants of this planet, looking into
          the Northern skies, beheld an dazzling light spectacle, radically
          unlike anything we have ever seen.   It  was  an  age  of eternal
          springtime,  with  no  seasons.   It  was  also  an  age when the
          felt effect of the force of gravity on  this planet  was far less
          than what we experience now, and when creatures of the earth grew
          far larger than they possibly could now.

               That world came crashing  down and  vanished forever  when a
          stellar blowout  within our  own solar  system triggered the most
          horrific catastrophe our planet has ever  withstood, the Noachian
          Deluge.  David Talbott's book, "The Saturn Myth", Doubleday 1980,
          describes the mythical symbolism of that world.  Articles  on the
          same and  similar topics  appear regularly in the Kronos Journal,
          subscriptions available ($15/yr) from:

               Kronos Subscription Dept.
               P.O. Box 343
               Wynnewood, Pa. 19096


               The most obvious proof of the existence of this former world
          on  our  planet  has  to  do  with the large animals.  Scientists
          studying dinosaurs in the  last century  determined that  the big
          sauropods  could  not  stand  on  land, that they were simply too
          heavy,  and  must  therefore  have  lived  in  water  where water
          bouyancy would  help carry  their huge bodies.  In so doing, they
          (the scientists) ignored the lack of  any obvious  adaptation for
          aquatic  life  amongst  the sauropods.  More recently, scientists
          have come to believe that sauropods  lived on  land, due  both to
          the lack  of aquatic  adaptation and to tracks found in Texas and
          other places which clearly show large  sauropods having  moved on
          land.   However,  they  are  now ignoring the problems of weight.
          Something is wrong here, one way or another.

               I claim that the  only  possible  way  sauropods  could have
          lived was  for the effect of gravity in the ancient world to have
          been considerably less than what we now experience.  This is what
          one  would  expect  from  Velikovsky  and Talbott's theory and it
          solves the sauropods' problem outright.  In  the traditional view
          of  origins,  both  for  this  planet  and  for  the solar system
          generally, there  is absolutely  nothing which  could account for
          such a  lessening of  the felt  effect of  gravity at any time in
          this planet's history.

               Stanley Friesen  and several  other commentators  on the net
          have  replied   in  numerous  articles  that  they  don't  really
          understand the reason why  a  hundred  foot  long,  three hundred
          thousand pound  ultrasaur would  have any insurmountable problems
          functioning in our gravity.  This article is dedicated to them.

               Generally, whenever an animal  doubles it's  size, all other
          factors  being  equal,  it's  power  to  weight ratio gets cut in
          half.  It's weight is  proportional  to  volume,  a  cubed figure
          which goes up by three factors of two when size is doubled.  It's
          strength, however, is proportional to cross sections of bones and
          muscles, a  squared figure  which only  goes up by two factors of
          two as size doubles.  For creatures  like the  ultrasaur, as well
          as for  large pterasaurs  or pteratorns which required being able
          to fly for survival, this problem of power-to-weight ratios would
          quickly become critical in our gravity.

               Books  describe  the  ultrasaur  as 100 feet long, 150 tons,
          about 28 or 30 feet at the shoulders.  About 35 or 40  of the 100
          foot length  is neck,  another 25  or 30 feet is body between the
          shoulders, and another 30 or 35 the tail.  The animal is about 18
          or 20 feet deep at the front shoulders and slightly less than ten
          feet wide (collarbones  are  about  8.5  feet  long).  By  way of
          contrast,  the  heaviest  of  Guderian  and Rommel's panzers, the
          tiger tank, weighed 55 to 65  tons, depending  on how  it was set
          up.  Even  with treads,  the tiger often got stuck in wet ground;
          it was just too heavy.  Modern tanks are lighter.  An 18 wheeler,
          fully loaded with all of a typical Harry Homeowner's possessions,
          goes about  100,000  lbs.   By  any  account,  the  ultrasaur was
          heavy.  I  would like  to calculate a minimum muscle mass for the
          ultrasaur's legs if he were to have any  hope of  lifting his own
          weight off  the ground.   Any animal  has to  be able to do this.
          Yet, it is fairly easy to  show  that  this  would  have  been an
          insurmountable problem for the ultrasaur, given our gravity.

               The  strongest  man  of  our  generation,  and  possibly any
          generation in recorded  history,  is  Bill  Kazmaier.   He stands
          about  6-4,  goes  about  330  lbs.,  and is the reigning king of
          American powerlifters.  In heads  up tests  against the strongest
          men from  other sports and, particularly, men from other branches
          of  weightlifting,  Kaz  has  repeatedly  come  out  on   top  by
          considerable  margins.   Powerlifting  is a specialized branch of
          weightlifting which focuses on  the  three  most  difficult lifts
          from a total body system viewpoint, the benchpress, the deadlift,
          and the squat.  It is this last exercise which we  are interested
          in.  This  amounts to  putting a bar on ones shoulders, coming to
          squat position, thighs paralell with the  floor, and  then coming
          back up  with the weight.  This is approximately what an elephant
          or an ultrasaur must do to get up off the ground after lying down
          for a nap or for whatever reason.

               The most  any man  has ever  squatted one time is about 1003
          lbs.  Kaz  has  managed  squats  of  about  950  lbs.  Generally,
          heavyweight  and  superheavyweight  powerlifters  are  considered
          strong when they can squat six or seven hundred pounds.  I should
          point out,  however, that  if anabolic  steroids were to be taken
          out of the picture, all weightlifting records of every sort would
          go down  at least  20 percent,  and possibly  30.  Of course, the
          ultrasaur didn't have access to  dianabol.   I  am  going  to say
          that, as  a ballpark  figure, the best we could hope for from the
          strongest men alive under natural conditions,  would be  to squat
          about 1000  lbs, INCLUDING  THEIR OWN WEIGHT.  I am also going to
          say that,  as  a  ballpark  figure,  they  need  thighs  about 30
          to 35  inches around in order to do this.  Kaz's thighs are about
          35 or 36 inches around; Mark Chaillet's are  about 33.  Likewise,
          I am going to use 5 inches as a ballpark figure for the radius of
          these men's legs at the thigh.  The constant of proportionality I
          spoke of, "K" for short, will thus be given by:

               1000 lbs = K * pie * (5 ** 2)

          using the  old Fortran  notation in which  "*" means "times", and
          "**" means "raised to the power of".  K will thus be taken  to be
          12.74,  both  for  human  heavyweight  powerlifters,  and for the
          ultrasaur.  The K factor is understood to incorporate  the factor
          of two,  for the  human's two legs or one pair of the ultrasuar's
          legs.  The fact that I  am  using  radius  of  thigh  rather than
          radius of  any one  particular muscle  is again  ballpark, but it
          favors neither Kaz and his pals nor the ultrasaur.  In  all cases
          being considered  here, the thigh consists mostly of muscles used
          directly for lifting weight straight upwards.

               This value for K is thus crude, but  it gives  the ultrasaur
          two  large  benefits  of  doubts.   First,  the  ratio  would, in
          reality, be higher for a maximally trained human athlete than for
          any herbivore,  particularly a  laid-back one like an elephant or
          sauropod which  wasn't  into  sprints  or  anything  amounting to
          maximum efforts.   Secondly, we  are talking about what the human
          can lift just once as a maximum total effort i.e. with  no margin
          for error.   In reality,  if Kaz or one of his pals were shooting
          for a squat of 800 lbs  at a  meet, a  practice might  consist of
          four or  five repititions  with 500 lbs, followed after a fifteen
          minute rest by two or three reps with 650 or 700, followed by the
          attempt for  a single  squat at 800.  That is to say, to have any
          margin for error, you must subtract at least a hundred  and fifty
          lbs. or so  from the  human athlete's  lift and  then compute the
          ratio.  

               All of this being given, let's see what  the ultrasaur would
          need by  way of  a radius  for his thigh muscles in order to lift
          his 300,000 lb bulk off the ground, first assuming that his front
          and rear  leg-pairs were  each lifting  150,000 lbs.  Considering
          the ultrasuar's load  on  one  leg  pair  to  be  150  times that
          required by the human,  the equation becomes:

               Ultrasaur           Heavyweight Powerlifter

          K * pie * (R ** 2)  =    K * pie * 150 * (5 ** 2)

          R ** 2              =    3750

          R  = 61.


               Sixty inches  is five feet;  the ultrasaur would need thighs
          slightly over ten feet in diameter  to have  any hope  of lifting
          his own body off the ground!  Of course, the fudge factors in the
          equation heavily favor the  ultrasaur.  A  realistic figure might
          be more like eleven or eleven and a half feet.

               Of course, the books do not show the ultrasaur with legs ten
          feet in diameter;   that would  make for  a funny  looking animal
          indeed, with  legs greater  in diameter than in length.  Just the
          weight of the legs  would  bring  the  poor  guy's  weight  up to
          400,000 lbs.   But that's  not the end of it.  They would have to
          double the animal's width to 20 feet or  so (actually  wider than
          it would  be deep)  to provide a base for two legs which were ten
          feet in diameter.  Of course,  such  a  doubling  of  width would
          bring the cauculation for weight up past 600,000 lbs.  As you can
          see, the whole thing gets ridiculous in a hurry.  

               The Avon Field Guide to Dinosaurs  shows the  ultrasaur with
          legs about  four feet  in diameter, judging from the human figure
          which is in the picture for  scale; about  what you  would expect
          from a  normal feel  for animal  bodies and certainly the way any
          artist familiar with animals  would draw  him.  However,  such an
          intuitive view  would be dead wrong in the case of the ultrasaur.
          Using our K figure of 12.74, we can see that  the most  a pair of
          even five  foot diameter  legs could  ever hope  to lift would be
          about:

          12.74 * pie * (30 inches **2) = 36,003 lbs.   Off by  quite a bit
          in the case of what is needed for the ultrasaur.

               It  would  thus  seem  that,  given  our gravity, there is a
          threshold for  size and  weight beyond  which no  animal could be
          wide enough  to provide a base for the legs it would take to bear
          it's own weight.  An animal beyond that threshold should properly
          be regarded  as a  mathematical impossibility in our world, given
          our  gravity.   The  ultrasaur   is  beyond   that  point   by  a
          considerable margin.

               One of  the most  interesting dinosaur books of recent years
          is Adrian Desmond's "The Hot-Blooded Dinosaurs".   The section on
          flying  dinosaurs,  roughly  from  page  178 to page 183, without
          Desmond seemingly intending it, reads like a catalogue of reasons
          why pterasaurs  could not  function or live in our world.  On the
          relatively small (40 lb.,  23  ft. wingspan)  pteranodon, Desmond
          writes:

               "The combination  of great  size and  negligable weight must
               necessarily have resulted in some fragility.  It is  easy to
               imagine  that  the  paper-thin  tubular bones supporting the
               gigantic wings would have made landing dangerous.  How could
               the  creature  have  alighted  without shattering all of its
               bones?"


               This sounds like Desmond  has seen  some films  of albatross
          landings.  Regarding pteranodon take-offs, Desmond writes:

               "Many  larger  birds  have  to  achieve  a  certain speed by
               running and flapping before they  can  take  off  and others
               have to  produce a  wing beat  speed approaching hovering in
               order to rise.  To achieve hovering with a twenty three foot
               wingspread, Pteranodon would have required 220 lbs of flight
               muscles as efficient as those of  hummingbirds.  But  it had
               reduced  its   musculature  to   about  8  lbs.,  so  it  is
               inconcievable  that   Pteranodon   could   have   taken  off
               actively."

               So Desmond sees the pteranodon as a glider, needing a 15 mph
          wind in order to take off.  But any airborne creature which could
          only glide  would have  all sorts  of problems,  not the least of
          which would be going hungry on  windless days.   At the  mercy of
          the winds,  there would be no place on earth for it to call home;
          its life would be a continual migration.  How  then did  it raise
          its young back at the nest?  And there is another really terrible
          problem it would have due to  the fact  that it  must necessarily
          have been  a carrion  feeder (a  glider simply  wouldn't have had
          much luck trying to catch airborne  prey).  Desmond  puts it this
          way:

               "How  they  could  have  taken  to  the  air  after  gorging
               themselves  is  something  of  a  puzzle.    Wings  of  such
               extraordinary  size  could  not  have  been flapped when the
               animal was  grounded.  Since  the pterasaurs  were unable to
               run in  order to launch themselves, they must have taken off
               vertically.  Pigeons are only able to take off vertically by
               reclining their  bodies and  clapping the  wings in front of
               them;  as flappers, the Texas  pterosaurs would  have needed
               very tall  stilt-like legs  to raise  the body far enough to
               allow the 24 foot  wings  to  clear  the  ground.   The main
               objection,  however,  still  rests  in  the lack of adequate
               musculature for such an operation.  Is the only  solution to
               suppose  that,  with  wings  fully  extended  and  elevators
               raised, they were lifted passively  off  the  ground  by the
               wind?  If  Lawson is  correct and  the Texas pterosaurs were
               carrion feeders, another problem can be envisaged.  Dinosaur
               carcasses  imply  the  presence of dinosaurs.  The ungainly,
               Brobdignagian  pterosaurs  were  vulnerable  to  attack when
               grounded, so  how did  they escape the formidable dinosaurs?
               Left at the mercy of wind currents, take-off would have been
               a chancy business."

               In other  words, the  nature of the pterosaur's line of work
          was such that he must have needed to  have been  capable of quick
          get-away takeoffs,   something  a glider  couldn't ever count on.
          Desmond doesn't have anything to say about the  200 lb pterotorn,
          which was  a modern  bird rather than a pterosaur, and definitely
          built for powered flight rather than gliding.  On  the subject of
          flight and weight, however, he notes:

               "With each  increase in  size, and  therefore also weight, a
               flying animal needs a concomitant increase in power (to beat
               the  wings  in  a  flapper  and  hold and maneuver them in a
               glider), but power is  supplied by  muscles which themselves
               add still  more weight to the structure.  The larger a flier
               becomes, the disproportionately weightier  it  grows  by the
               addition of  its own power supply.  There comes a point when
               the weight is just too great to permit the machine to remain
               airborne.  Calculations  bearing on size and power suggested
               that the maximum weight which a flying vertibrate can attain
               is  about  50  lbs:   Pteranodon and its slightly larger but
               lesser  known  Jordanian  ally  Titanopteryx  were therefore
               thought to be the largest flying animals."

               Sound  familiar?   Desmond  goes  on to state that the Texas
          pterosaur finds were  obviously  much  larger  than  that without
          offering  any  real  guess  as  to  a solution to the enigma thus
          posed, much less to the far worse enigma posed by the pteratorn.

               I repeat, there is only one solution to  the problem  of the
          giant flying  animals, even  as there is only one solution to the
          problem of the ultrasaur.   These were  all creatures  of another
          world, even though that world existed on this planet.  And one of
          the characteristics  of that  world was  that the  FELT EFFECT of
          gravity was far less than what we now experience.

padraig@utastro.UUCP (Padraig Houlahan) (09/04/85)

>                All of this being given, let's see what  the ultrasaur would
>           need by  way of  a radius  for his thigh muscles in order to lift
>           his 300,000 lb bulk off the ground, first assuming that his front
>           and rear  leg-pairs were  each lifting  150,000 lbs.  Considering
>           the ultrasuar's load  on  one  leg  pair  to  be  150  times that
>           required by the human,  the equation becomes:
> 
>                Ultrasaur           Heavyweight Powerlifter
> 
>           K * pie * (R ** 2)  =    K * pie * 150 * (5 ** 2)
> 
>           R ** 2              =    3750
> 
>           R  = 61.
> 

Is this a case of pie in the thigh?   :-)

Padraig Houlahan.

mrh@cybvax0.UUCP (Mike Huybensz) (09/05/85)

In article <387@imsvax.UUCP> ted@imsvax.UUCP (Ted Holden) writes:
>      Sixty inches  is five feet;  the ultrasaur would need thighs
> slightly over ten feet in diameter  to have  any hope  of lifting
> his own body off the ground!  Of course, the fudge factors in the
> equation heavily favor the  ultrasaur.  A  realistic figure might
> be more like eleven or eleven and a half feet.
> 
>      Of course, the books do not show the ultrasaur with legs ten
> feet in diameter;   that would  make for  a funny  looking animal
> indeed, with  legs greater  in diameter than in length...
>
>      The Avon Field Guide to Dinosaurs  shows the  ultrasaur with
> legs about  four feet  in diameter, judging from the human figure
> which is in the picture for  scale; about  what you  would expect
> from a  normal feel  for animal  bodies and certainly the way any
> artist familiar with animals  would draw  him....

Ted, your calculations and observations include a number of fundamental
errors.

First, extrapolation of human strength to heavy-bodied quadruped dinosaurs
does not take into account the fact that the mechanical advantages of the
differently proportioned limbs are quite different.  Differing muscle
attachment points would give the dinosaurs' muscles much greater leverage,
perhaps several times more.

Your observations from imaginative drawings in books are also wildly
inaccurate: your "ten foot diameter" legs should be measured in the upper
thigh, which in most modern quadrupeds is well above the belly.  I'm
sure you would also disprove horses and elephants by their small leg
cross-section below the belly.  In addition, quadrupods seldom have a
circular thigh cross section, else they would bulge in the way you claim
the ultrasaur should.

As others have mentioned, please check original research literature, rather
than popular books.  That's where the science is: popular books are usually
pale reflections, drained of details and facts that won't sell to
scientific illiterates.
-- 

Mike Huybensz		...decvax!genrad!mit-eddie!cybvax0!mrh

csdf@mit-vax.UUCP (Charles Forsythe) (09/06/85)

Ted Holden proves his ignorance of science and math thus:

>                                                                 Scientists
>          studying dinosaurs in the  last century  determined that  the big
>          sauropods  could  not  stand  on  land, that they were simply too
>          heavy,  and  must  therefore  have  lived  in  water  where water
>          buoyancy would  help carry  their huge bodies. 

Scientists studying electro-magnetic radiation in that last century
determined that the "waves" traveled in a medium called "ether". They
were wrong, Ted.

>               1000 lbs = K * pie * (5 ** 2)
>
>          using the  old Fortran  notation in which  "*" means "times", and
>          "**" means "raised to the power of".  K will thus be taken  to be
>          12.74,  both  for  human  heavyweight  powerlifters,  and for the
>          ultrasaur.

I think we can all follow the notation, Ted. Thanks anyway. Also, I
don't know what the "pie" constant is, but you might want to use "pi"
which is a much more interesting one.

Another question. Why is "K" this same for men and Ultrasaurs. Why isn't
it half or something?

>	   Of course, the
>          ultrasaur didn't have access to  dianabol.

Of course. I suppose that because humans do not produce luminous
chemicals then neither do fireflyes?

>               This value for K is thus crude, but  it gives  the ultrasaur
>          two  large  benefits  of  doubts.   First,  the  ratio  would, in
>          reality, be higher for a maximally trained human athlete than for
>          any herbivore,  particularly a  laid-back one like an elephant or
>          sauropod which  wasn't  into  sprints  or  anything  amounting to
>          maximum efforts.

You mean the same "laid-back" elephants that stampede large trucks and
smash them? Be consistent, Ted! The value for K is crude. It is almost
completely made up. I'm glad you follow weight-lifting Ted, but your
comparing apes and lizards here. Also, I though the mighty ULTRASAUR was
a mean and nasty killer (who had to out-run his prey in the lighter
gravity).


>	   Secondly, we  are talking about what the human
>          can lift just once as a maximum total effort i.e. with  no margin
>          for error.   In reality,  if Kaz or one of his pals were shooting
>          for a squat of 800 lbs  at a  meet, a  practice might  consist of
>          four or  five repetitions  with 500 lbs, followed after a fifteen
>          minute rest by two or three reps with 650 or 700, followed by the
>          attempt for  a single  squat at 800.  That is to say, to have any
>          margin for error, you must subtract at least a hundred  and fifty
>          lbs. or so  from the  human athlete's  lift and  then compute the
>          ratio.  

Maybe the Ultrasaurs did Aerobics. (After all, wasn't Jane Fonda around
in the Velikoskian world?)

>               Stanley Friesen  and several  other commentators  on the net
>          have  replied   in  numerous  articles  that  they  don't  really
>          understand the reason why  a  hundred  foot  long,  three hundred
>          thousand pound  ultrasaur would  have any insurmountable problems
>          functioning in our gravity.  This article is dedicated to them.

This is no intuitive leap for anybody. We all realize that a creature
like that wouldn't last very long in the world. In fact, it might even
become extinct.
-- 
Charles Forsythe
CSDF@MIT-VAX
"We pray to Fred for the Hopelessly Normal
	Have they not suffered enough?"

from _The_Nth_Psalm_ in _The_Book_of_Fred_

carnes@gargoyle.UUCP (Richard Carnes) (09/10/85)

In article <387@imsvax.UUCP> ted@imsvax.UUCP (Ted Holden) writes:

>               Immanuel  Velikovsky  believed,  David  Talbott  believes, I
>          believe, and the various contributors and  readers of  the Kronos
>          Journal believe  that, less  than 10,000 years ago, there existed
>          on this planet an age of  wonder,  a  true  golden  age  when, as
>          Hesiod and  Ovid claimed, Cronos (Saturn) was the king of heaven.

Hesiod and Ovid?  This is like quoting "Paradise Lost" as evidence
that the Garden of Eden existed.  Ovid's sources were 100% literary,
including Hesiod's poems.  Hesiod's sources were oral tradition,
Homer, and his imagination.

What is the evidence that the ancient myths about the reign of Kronos
are referring to the *planet* Saturn?  

Richard Carnes