Trees are a wonder of extremes in our world.
No species of life has ever been able to get so much out of Nature, live
in such an accord; as to be able to have grown bigger or heavier, let
alone then sustain themselves biologically and structurally in this
environment. They also are the stiffest, strongest life, thus
allowing them to be the example too, of the most leveraged structure.
This most leverage-able structure multiplies forces of the most massive
size and weight; therefore trees deal with the most loaded mechanics too.
The fact that trees stand tall rather than lay down, takes the extremes of
leveraged forces, and adds the ability to fall into them. This gives
impacting multipliers, as well as changing equations as the movement
causes the tree's force to change speed and leveraged angle all at once.
Trees are the top contender to be studied in these
categories; that we can learn more from than teach them! The same
forces are present in all things, to less magnified forces.
So, we are able to see these forces that are present in everything; more
clearly at this magnification. In trade for having to contend with
such massive dynamic forces brought about by trees being the largest,
stiffest, heaviest, highest etc. and to be able to support all that
biologically and mechanically with the longest lifespan!
Below is insight into the loads and counter balancing
supports, that allow a massive tree to stand on 1 small stump, even as it
is whipped around in the wind etc. No other lifeform has ever had so
much size and weight to support, let alone standing so stiffly and then
straight up on top of that. To stand straight up, trees must be
stiff, which allows their length to compound their massive weights for
massive leveraged force against the support of the singular, small
connection to the ground of the stump.
of Gravity (CG) of a tree is it's Total Force...
||The Center of
Gravity (CG) is where a tree will hang perfectly balanced from, the
sum total of the tree's massive force, direction and leverage in one
point to evaluate. Also, when a whole tree moves, it moves
from it's CG! The efficiency of any effort or pivot positions on tree
support, are always in consideration to how those forces address the
sum total of the tree force/personality, in the CG. This CG /
mechanical center; is the sum total expression of the tree's load in a
system; the rest of the tree shape is actually just handles by which
to effect the CG by, with pivot and effort!
Tree on Side Shows CG
|| If you take 2
exactly a like broomsticks and place 10# weights on each one in
different places, they will react differently when held the same, and
the CG is all that changed! The shape of the
broomstick/ball is just where you can grab in consideration of the CG
force. All things are like that. Trees size just offer a
magnified view of these principles.
||The rope doesn't
hitch the tree shape 'handle' at CG (total sum of the force point), so
logically green end will tip down. If you pulled down on the
opposite (root) end, you might be able to make the tree hang balanced
on the rope again. The pivot of the point the tree hangs by is
the rope. The point where you pull down at is the effort input
point. The pivot point of the rope, and the effort input point
that you pull on, just grab the tree as a handle, to affect the total
personality/ force (CG) of the tree. Only these 3 points exist,
competing on the shape of the tree; to affect support and movement.
Tree Hanging Off Balance
||As the Center of
Gravity of the tree pulls down on one side of the blue arrow
(compression/pivot part of stump); tension fiber of the stump pulls
down on the other side of the blue arrow as counterbalancing support
against the CG force. Like a see-saw, balanced on the Blue
Arrow, with Red Arrow pull down forces on either side. So the
Blue arrow carries both of the leveraged pull downs of the 'Red
Arrows' CG and the Tension hold fibers in the stump. Once again
you only have 3 items: the CG, Blue Pivot of compressed fiber and Red
stretched fibers (as work effort input), no matter how big the tree.
The CG is what to look for first; it sets the
whole mechanics for the system. The CG is the active force
component, dictating all else; the support of the pivot and a tree
trunk are not active forces. They are passive forces, that are
only reactions to the CG's force. In fact, the pivot and pull as
passive forces that support a tree, balanced from falling over; don't
exist without the pull of the active force - CG initiating them!
Only 3 points to consider
Push and Pull in
Small Stump to Support Whole Tree...
This CG force
will push down on closest part of tree stump to it's lean. This
causes that point to be the pivot of the support. The stump
provides this pivot and then the effort input force. The CG pull
causes the responding pivot and the effort to hold positions; as well
as their specific location on the small stump.
||Line (D) that runs from the CG
to the compressed pivot area of the stump, becomes the loaded axis of
the mechanics of the support. Compressions and tensions (pushes
and pulls) on this line give the most leveraged support, by
definition. The compressed pivot spot on the stump to the CG is
the load's leverage. As any of these mechanics to maximize, the
tree will seek to use both the opposite and equal forces to support,
leveraging the most from both pushes in the stump fiber as well as
pulls in the stump.
||The loaded axis (D) continues
from the CG thru the compressed portion of the stump, to the opposite
side of the stump. The most leveraged tension, pulling support
will be on this loaded axis, opposite the load of the CG. The
most powerful leverage on that axis is the farthest out from the
compressed pivot. Because this is the most powerful direction
and leverage, Nature will use the fibers in these (F) positions for
pulling support in the stump, to counterbalance the pull of the CG.
||In this way, a tree
uses both the pushes and pulls in the stump, to maximize the whole
growth to support. (Co-dominates don't maximize the whole
growth as support) Further yet, the tree will seek to continually
improve the leverage of both the push and pull supports in the stump
in growth. As the tree grows in exterior rings, it sets the
pivot more towards the loading of the CG so the pivot' push has more
leverage over the loading of the CG point, as well as increasing the
leveraged distance across to the tension/ pulling fibers side.
As a tree doesn't replace wood, but seals
over, it uses it's resources to give support in the most leveraged
locations too, rather than replacing lower leveraged internal lost
area of trunks etc. For only increasing the size across
gives more leverage to the mending point!
Growth Increases Leaverage
||As all the forces come to bear
on the stump, as both pushup of the pivot side and pull back of the
tension side support the tree; the stump passes these loads onto the
roots. The roots on the loaded axis from the pivot part of stump
towards the CG support against the compression pulling forward.
As the roots on the tension side are extended leverage of pull from
the tension side of the stump.
root crown should be left clean of soil, mulch etc. to both be more
biologically healthful, but also so that this root crown is more
inspectable for the loads it carries! All this tree size, had a
cost to the system to produce, and the system uses all of it to
support the huge massiveness. The farther roots stretch outward,
the more leveraged resistance securing against the massive leveraged
lean. Similar to the increase in stump size in year to year
growth giving more leveraged distance to resist pull of the initiating
CG. The spanning wider of roots on the loaded axis give
increases in leverage against the pulling force CG.
Co-dominate and included bark as growth faults
do not use the total growth area to leverage tree support; therefore