Weight
Transfer
What
is it, why does it happen, and why should you care?
When
you change speed (accelerate or decelerate) the weight of your
motorcycle (including you) shifts in such a way as to put more or less
load on your tires. You do not have to weigh the load on your tires to
know this with certainty because you can see it happen by observing
your front-end 'dive' when you brake.
Traction
is proportional to the weight carried by your tires. Thus, when you
brake your front tire gains traction while the rear one loses it.
Clearly losing too much traction is dangerous since the result is that
your tire will slide.
Despite
what you may think, weight transfer can be controlled beyond simply
adjusting your acceleration and braking rates. That is, how fast you
change speeds is not the only thing that determines weight transfer.
Surely you would be interested in minimizing the odds of losing
traction during a panic stop? Read on...
Braking
Transfers
Ignoring
wind resistance, essentially all the forces that try to slow you down
when you apply your brakes are at ground level. That is, at the
contact patches of your tires. On the other hand, the inertia of your
bike works not at ground level, but directly thru its center of
gravity (CG.) Since the CG is higher than ground level the resulting
net force translates into a torque. In other words, braking does not
simply shift weight forward, it tries to shift it down in the front
and up in the rear.
The
higher the CG is, the greater the torque. (If the CG was at ground
level the torque would be zero.) On the other hand, the longer your
wheelbase is, the lesser the torque. This is just another way of
saying that the amount of weight transfer resulting from a change in
speed is a function of the ratio of the height of the CG to the length
of the wheelbase.
Gravity
is a force. At ground level gravity tries to make you fall with acceleration
at the rate of about 32.1 feet per second per second (henceforth shown
as fps/sec.) This acceleration is called '1 g.'
'Weight'
is just another word for gravity. Like inertia, gravity works directly
thru the CG of an object.
When we
brake we apply force which we will simply call a braking force.
Braking is nothing more than a negative acceleration.
Thus, when the total braking force is such that your bike's forward
speed is being reduced at the rate of approximately 32.1 fps/sec, you
are decelerating at the rate of 1 g. That is, your braking force then
equals the weight of the motorcycle (including the rider.) If your
motorcycle weights 1,000 pounds, then braking at 1 g means you are
applying 1,000 pounds of braking force.
You can
calculate the amount of weight transfer involved in any stop knowing
only the braking force being used and the ratio of CG height to
wheelbase length. For example, if the total braking force is 1,000
pounds, your CG is 20 inches off the ground, and your wheelbase is
63.4 inches long:
[We are
here discounting entirely the effects caused by tire distortion and
suspension compression. Not because these are not important, but
because they are of secondary importance to an understanding of these
principals.]
Now,
just because the bike weighs 1,000 pounds and is sitting on two wheels
does not mean that at rest there are 500 pounds on each wheel. Here
again we need to know something about the bike's CG. Only if the CG is
exactly in the middle of the bike (between contact patches) will the
weight be evenly distributed. If the CG is closer to the front wheel
than the rear one, for example, then there will be more weight on the
front tire than on the rear when the bike is at rest (not moving.)
Further, unless there is an upward or downward movement of the bike,
the sum of the weight carried by the front and rear tires must equal
the total weight of the motorcycle and rider.
Let us
assume that at rest the weight is evenly distributed. Then we now know
that while braking at 1 g, because of weight transfer, there will be
815.5 lbs. (500 + 315.5) on the front tire and only 184.5 lbs. (500 -
315.5) on the rear tire. Because traction is a function of weight
carried by a tire it is clear that there is not a lot of traction left
on the rear tire at this time.
Let us
look very carefully at what this weight transfer example is showing
us. You have heard that you have about 70% of your stopping power in
the front brake. This example shows that we have applied 1,000 lbs. of
braking power to the tires of the bike. If it was ALL the result of
using only the front brake, then we have wasted what traction is still
available to us from the rear tire and, worse, we have locked
our front tire and started a skid! This, because virtually all
standard tires lose their 'sticktion' (stick/friction) when confronted
with more than about 1.1 g of braking force. With 815.5 lbs. on the
front tire it could with reasonable confidence handle a braking force
of 897 lbs. (1.1 * 815.5), yet we applied 1,000 lbs. to it. At least
in this case our front brakes could deliver nearly 90% of our stopping
power, not just 70% - but not 100%, either.
Now let
us look at what would happen if the CG happened to be 30 inches high
rather than 20:
The
front tire would have 973.2 lbs. of weight on it and the rear would
have only 26.8 lbs. This is close to doing a 'stoppie'!!!
What we
are beginning to see is that if the CG gets to a height of 1/2 of the
length of the wheelbase we can expect to do a 'stoppie' if we use 1 g
of braking force. Further, if we use even the slightest amount of rear
brake in such a configuration when we are slowing at the rate of 1 g,
we can expect to lock the rear wheel.
One
more example - we will attempt a 1.1 g stop with this 'higher' bike:
At this
point we have transferred MORE than the entire weight which had been
on the rear wheel - we have left the rear wheel with NEGATIVE 20.5
lbs. on it. ie, our rear wheel has been lifted off the ground!!!!
Notice,
please, that the CG does NOT remain at a constant height during
aggressive braking. If we use exclusively front brake, then the
front-end will dive and the rear-end will lift. This could result in
the CG remaining at the same height, but more likely it will get
higher. We have already seen that a higher CG means more weight
transfer. Further, as the front-end dives the result of the
compression of the front shocks is a shortening of the wheelbase of
the bike. This, like raising the CG, results in a higher CG to
wheelbase ratio, and therefore more weight transfer. [As an aside, if
your bike has an anti-dive feature (TRAC, for example) then MORE
weight transfer occurs to the front wheel than without it. This,
because the CG is held higher. In other words, anti-dive INCREASES the
odds of sliding your rear tire!]
If only
the rear brake is used there will be a weight transfer to the front
tire which will tend to compress the shocks. Additionally, however,
use of the rear brake tends to LOWER the rear-end of your motorcycle
and lengthens its wheelbase, (the swing arm become more level). The
net effect is to lower the CG of the bike. This offsets neatly the
fact that the compressing front-end shortens the wheelbase at the same
time. However, since there is a weight transfer, the rear-end gets
lighter while braking which quickly limits how much braking power you
can apply before you skid that tire. In other words, you must use the
front brake for maximum stopping power.
From
the above discussion I think you can now see that the use of
your rear brake along with the front brake leads to less weight
transfer than if you use only the front brake, and why the use of both
at the same time always results in maximum stopping power.
When a
rider mounts his motorcycle he both raises the CG and moves it towards
the rear. The heavier the rider, the more significant these changes to
the CG are. We already know that as the CG rises it causes more weight
transfer during speed changes. This raising of the CG is far more
significant than is its shift towards the rear. (This, because the
height of the CG is small compared to the length of the wheelbase.)
What
this adds up to is that the heavier the driver of the motorcycle, the
easier it is for braking to cause a breakaway of the rear-end. Is
there anything that can be done to mitigate this potentially deadly
problem? You bet! In a panic stop the driver should bend from
the hip and elbows and lean forward! This will cause the CG to
lower and move forward. A lower CG is more significant than its slight
movement forward. In summary, there will be less weight transfer with
him leaning forward than if he was sitting straight up in the saddle,
there will be less compression of the front shocks, and less
shortening of the wheelbase. i.e., less likelyhood of losing rear-end
traction.
Anything
else? Yep. Always pack your saddlebags with heavy items towards the
bottom. Every pound below the CG lowers it, every pound above it
raises it.
Accelerating
Transfers - Straight Line
This
article has so far focused only on weight transfer associated with
braking. It should be obvious that exactly the same phenomenon happens
when you accelerate - the amount of weight transfered is determined by
your rate of acceleration and the CG ratio (height of CG divided by
length of wheelbase.) Though you may not believe that you have an
'anti-dive' component for your rear wheel like you may in the front,
you do. The rear wheel does not push the frame forward directly. It
pushes its 'swing arm' forward. Since the swing arm pivots on the
frame aft of your CG, and since that pivot is almost invariably higher
than where the swing arm attaches to the rear wheel, any accelerating
force applied thru the rear wheel tries to lift the frame of the
motorcycle. ie, rather than calling this an 'anti-dive', think of it
as an 'anti-squat'. This keeps the CG higher than it would be
otherwise and the result is that there is greater weight transfer to
the rear tire (and correspondingly higher traction results.)
Accelerating
Transfers - In A Curve
Constant Speed
And
what about weight transfers when you are in a curve? You have heard
the terms 'oversteer' and 'understeer'
before, I'm sure. Oversteer means that when you are in a curve your
rear wheel is more likely than the front one to lose traction (ie,
your sliding bike will end up pointing towards the inside of the
curve.) while understeer is the opposite. Weight transfer to the rear
tire from acceleration leads to oversteer (greater slip angle on rear
tire) while braking in a curve, because of weight transfer to the
front, leads to understeer (greater slip angle on front tire.) Both
are deadly concerns if you push tire loads to their limits!! (On the
other hand, if you have a choice you would almost certainly want a
little oversteer rather than understeer because a brief slide of the
rear tire is easier to correct than a similarly brief slide of the
front tire.)
It
would be a deadly mistake to try to use the kind of
weight transfer analysis we have discussed so far in an effort to
learn how much acceleration to use while in a curve to equalize tire
loads! (I now assume that you have read and understand the article
entitled 'Delta
V'.) The weight transfer calculations we have been looking at so
far deal with consequences of longitudinal acceleration. In a curve
you are also subject, even if maintaining constant speed, to centripetal
acceleration.
Unlike
longitudinal acceleration (changing your speed), which changes your
tire loading in a simple proportion to the CG ratio, centripetal
acceleration increases tire load in proportion to the SQUARE
of your change in speed. The formula to determine these forces is:
Force
= Velocity squared / Radius
F = V^2/R
You can
assume that most street tires will lose traction when they are
subjected to about 1.1 g of force. So how do you tell whether you are
close to 1.1 g when in a turn? Simple. If your effective lean angle is
45 degrees, you are experiencing 1 g of centripetal force. And, from
the formula above you see that the force is extremely sensitive
to velocity. This means that a very minor increase in speed could
easily push you past the 1.1 g limit.
What
you should understand from this is that using acceleration (speed
change) to balance tire loads while in a curve is foolish. (In
general, however, you will want some (minor!!!)
acceleration in a curve as this tends to increase the slip
angle of the rear tire which increases traction, and because you
want your rear-end suspension modestly loaded to enhance control.)
Now you
know why you want to be sure the load distribution on your bike is set
properly BEFORE you hit the road.
Accelerating
Transfers - In A Curve
Exiting The Curve
While a
modestly increasing speed makes great sense while you are
riding thru most of a curve, it is understood that some people find
great pleasure in rolling-on their throttle as they exit those curves.
Just a
little thought, based on all that we have talked about so far, should
now convince you that you must be conservative in this practice while
you are leaned over hard, and that you need to be BOTH widening the
curve and standing the bike taller as you do it.
Rather
see the effects of weight transfer instead of doing the calculations?
If you have Excel on your system then just take a look at this spreadsheet/model.
With it you can modify any of the inputs shown and observe the effect
of the changes. Below is a sample screen displayed while using the
model.
This example shows a heavily loaded motorcycle weighing 1,050 pounds
having a Center of Gravity closer to the rear wheel of the bike than
the front which is traveling in a curve with a radius of 450 feet with
a speed of 50 MPH. The information in the spreadsheet assumes constant
speed.
The
chart to the right shows lateral (sideways) force divided by vertical
force (load) for each wheel as a function of acceleration. At zero
acceleration the ratio is .37 and, you will note, is lateral
acceleration (i.e., it is .37 g). Notice that the effect of
acceleration is radically different between the front and rear tires.
In the
case of the front tire, acceleration merely reduces loading because of
weight transfer. Thus, traction is diminishing in proportion to that
acceleration (i.e., traction is a function of the types of material
that are being pressed together and the force pressing them together -
since the load is diminishing due to weight transfer, so is traction.)
The
effect of acceleration on the rear tire is quite different, however.
You would correctly assume that weight transfer resulting from
acceleration would increase traction on the rear tire. It does,
during modest acceleration. But acceleration (increasing speed) is
accomplished using the rear tire only. That is, there is no
longitudinal acceleration affecting the traction of the front tire,
just the rear one. Longitudinal acceleration and lateral acceleration
are vectored, which means the resulting acceleration force is the
square root of the sum of the squares of those forces. (In other
words, more than either of them, but not as much as both.) As the rate
of acceleration increases it quickly overwhelms the effect of
increasing load on the tire (which increases traction) and begins to
CONSUME THAT TRACTION FASTER THAN IT IS BEING ADDED. This is shown in
the curved line in the chart.
So what
do the lines ultimately show? If you assume that the coefficient of
friction for your tires is approximately 1.1, then when either line
reaches 1.1 on the chart that tire will lose traction and skid! The
higher the line, the closer to a skid (i.e., the less traction is
left.) If you increase speed or decrease the radius of your turn, your
lean angle will get larger. When your lean angle gets to 45 degrees,
the lines will start at 1.0 and even a slight acceleration will push
the lines over 1.1 - which means you will soon be exploring the joys
of road rash.
In
summary, there are a few obvious reasons to care about weight
transfer:
In order to manage weight transfer intelligently you need to have a
good idea of where the center of gravity of your bike is and what
happens to it when you add a passenger or luggage.
Traction will probably be lost if tire load exceeds about 1.1 g. If
you are in a curve and are leaning at 45 degrees, you already have
1.0 g tire loads. Enough is enough.
Stopping with your elbows locked guarantees more weight transfer and
a higher center of gravity - both undesirable from a control point
of view.
Rolling-OFF your throttle (or braking) if you are 'hot' in a curve
is almost certainly more dangerous than simply leaning farther into
the curve - because weight transfer will unload the rear-end which
reduces rear tire traction.
Understeer and Oversteer both yield slides when load limits are
reached - balancing the weight reduces the risk.
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