K*bot
World
Championships®
Building a start-up
competition Division 1
K*bot
with various
construction tips.
The pure fun of learning
combined with hands-on
building of our K*bots
will provide you with
tools from learning
simple machine tools and
robotic design
technology that is
important to your
problem-solving skills
in life.
#1 Sturdy
frame - We
will look at how to
build a frame for your
robot and how
forces are transferred
between the different
parts of a K*bot’s
construction during K*bot
competition. First let’s
look at General K*bot
Frame or Chassis Designs
& Construction. ).
Students often do not
have a complete
understanding of how to
build or utilize gear
reduction and other
mechanical advantages to
build a K*bot for power
and durability for
competition. A student
of K*bot design must
make competition
adjustments over time
with their K*bot made
with K’NEX parts to find
the right combination
for success. Evaluate
and compare various K*bot
frame designs
during K*bot testing
sessions. Some frame
designs have fallen
victim to improper
weight management and
are too long. Sharing
K*bot information on
your design features,
advantages, and
disadvantages with
classmates will prove to
be valuable for all the
students in the class.
The frame of a gear
reduction k*bot must be
strong and sturdy
because the stronger the
frame will allow the
maximum amount of
pressure to be exerted
onto the wheels.
Everything connected
eventually ends up
connected to the wheels.
You don’t see parts
connected to the wheels
with just simply 2 K’NEX
rods.
On the contrary you see
everything equally
balanced. You also want
to avoid frames that
have the improper weight
management and are too
long.
Designing K*bot Frame
Structures
-
Beams,
Columns, Frames, Joints
- K’NEX parts require
maintaining close
tolerances when
manufactured so that the
connecting mechanisms
will function properly.
Internal loads generated
within mechanisms also
need to be considered.
K*bot frame construction
rods may deflect
primarily by bending. A
straight rod will curve
slightly under bending
load. The amount of
curvature is
proportional to the K*bot
moment load.
K*bot
structural systems are
built of elements such
as rods and connectors.
Beams in buildings
support vertical load
due to weight on a floor
or roof. Columns are the
vertical posts that hold
up the beams in
buildings. The
monumental temples of
ancient Egypt and
Greece had stone columns
to support stone beams.
As a rule, K*bot weight
bearing joints
(connectors) should be
carefully considered in
all K*bot designs where
weight is critical.
Where necessary, you
should place weight
bearing connectors in
strategic structural
positions to maximize
the K*bot’s strength and
stiffness bonding for K*bot
competition. K*bots
which are not
structurally well built
could deform under the
heavy load of another K*bot
during competition. If
your frame bends during
Division 1 K*bot
competition loads you
may decide to do a K*bot
deformation analysis.
Just take each of the K*bot
elements of the system
and consider them
separately. These
separate K*bot elements
are called free bodies.
#2
Wheel Positioning and
Weight Management
This is one of the
most popular faults of
gear reductions. In a
gear reduction robot you
have power, but the only
way to make sure that
the power is exerted
onto the wheels is with
the correct
weight distribution
onto the wheels. A gear
reduction K*bot is
apparently slow, so
cannot waste time
sliding around the
battle arena. Out of 3
pounds your weight
should be 2/3 on the
power drive wheels and
1/3 on the front of the
K*bot. Yes, you could go
with all your weight on
your back wheels but
that gives you a
weakness. The leverage
is in favor of your
opponent, if they have a
ramp or the same
leverage as you do. Then
you will both be lifted
into the air, but you
will tumble down first
because you will have
more weight propelling
you backwards. This may
determine the winner as
your opponent, because
your wheels will become
useless one way or
another. The division of
the weight into thirds
gives you a pound of
frontal weight that
disables your opponent
from pushing you up. You
don’t have to worry
about sliding wheels
because you are so heavy
unless you have a frame
that you have not fixed.
Everything on the K*bot
is connected and
eventually ends up
connected to the wheels.

For example:
if your opponent has 2/3
of their weight on the
power wheels and 1/3 on
the front ramp and you
have most of your weight
over the power wheels
towards the back of the
K*bot then occasionally
both K*bots may be
lifted into the air
during the match.
However, you will tumble
down first because you
will have more weight
from the other K*bot
propelling you
backwards. This is an
important factor which
may determine the winner
during a match. The
division of the weight
into thirds gives you a
pound of frontal weight
that disables your
opponent from pushing
you up. In general, you
don’t have to worry
about sliding wheels
because you are so heavy
over the power wheels,
unless you have a frame
that must be changed to
stabilize the problem.

#3
The Gears and their
placement on rod shaft
Although some people
will think Gears are the
most difficult step, it
really isn’t. If you
follow the necessary
requirements listed
below, your
double gear reduction
should be easy to
install. The basic
structure you want to
reach is to place two
small gold gears on a
single 7 inch black rod
on the
motor rod shaft
meshing against two big
yellow gears on another
7 inch black rod shaft
between the motor and
the actual 7 inch black
wheel rod shaft. On this
intermediate rod shaft
between the motor and
the wheels you should
place another small gold
gear on this rod shaft
between the two large
yellow gears you have
already installed. This
small gold gear on the
intermediate shaft will
mesh with the large
yellow gear you will
place on the
wheel rod shaft
to
complete double gear
reduction. Make sure the
tan clips have their pin
inserted into each gear
on each shaft rod. You
now have a double gear
reduction K*bot worthy
of real pushing power
like low gear on your
parent’s car. Your
instructor will walk you
through each step of
this process to make
sure you understand
double gear reduction.
#4
Now let’s
look at parts of the
elements which determine
K*bot Mechanics
K*bot
mechanics is about how
forces are transferred
between the different
parts of a K*bot’s
construction during K*bot
competition. Mechanics
helps keep a K*bot in
balance. Although you
could build a K*bot
without knowing anything
about mechanics, it will
help in preventing your
K*bot from tipping over
when turning or when
lifting up another K*bot
during competition.
Another point where
mechanics pays off is in
the
axles. On
small robots you can
attach the wheels
directly to the output
shaft of the motor;
however this doesn't
work well for larger
robots as this puts a
lot of stress on the
internal parts of the
motor. A better way is
to provide an axle to
attach the wheel to and
some gears to connect
the motor to the axle.
Knowledge of K*bot
mechanics allows
intermediate and advance
students to design
essential components
such as gear reduction
and the powerful double
gear reduction used by
many of the top Division
1 and 2 K*bots in the
world today.

#5
The K*bot balancing act:
What is center of
gravity
Objective: Study the physics involved in the balance of a K*bot during
competition. Students
who design competition
K*bots must address a
variety of physical
considerations in their
design including the
center of the K*bots
mass.
Gravity is an invisible
force of attraction
between two objects.
Everything with mass has
gravity. As the Earth is
pulling your K*bot down
to it, your K*bot is
pulling up on it. Your
K*bot will pull with
much less force because
gravity is proportional
to mass. The center of
mass of your K*bot is
the point at which the
whole weight of the K*bot
balances. The center of
mass of the K*bot might
be considered the
"average" point of all
the matter in the K*bot.
You can calculate the
pull of two objects with
this formula:
Force of Gravity
= Mass of Object 1 x
Mass of Object 2
Gravitational Constant x
Distance between
Objects. In order to
apply the laws of
mechanics to a
particular body
scientists generally try
to
consider it as a free
body—they isolate the
body from its larger
environment and consider
only the forces acting
on that body. This
simplifies the situation
by excluding extraneous
forces and influences
that are not relevant to
the problem. When
gravity is pulling one
object to another, the
force has to have
direction. It usually
pulls to the center of
the mass. In a sphere
shape (like earth) this
point is in the center
of the sphere. That is
said to be the center of
gravity. Let’s imagine
that a small K*bot is on
one side of a seesaw and
a large K*bot is on the
other side of the
seesaw. The balance
point of the seesaw is
not in the middle of it,
otherwise it would
balance and the weight
of the small K*bot and
the large K*bot would be
equal.
We know the large K*bot
easily exerts more force
downward (weighs more)
than the small K*bot. If
you move the
pivot point
of the seesaw toward the
large K*bot they will
balance out
(eventually). All
together, the small K*bot,
the large K*bot, and the
seesaw's
center of gravity
is roughly where the
pivot point of the
seesaw is pivoting.
You're probably not
aware of it, but
adjustments when you
move the K*bot affect
the center of gravity.
Tightrope walkers, for
example, adjust their
arms, hips and other
body parts in order to
move their center of
gravity and stay atop
the rope. For an average
uniformly shaped K*bot
there is a simple
mechanical way to
determine the center of
gravity. If you just
balance the K*bot using
a string, the point at
which the K*bot is
balanced is the center
of gravity. If the
object is then shifted a
measured distance away
from the center of mass
and again balanced by
hanging a known mass on
the other side of the
pivot point, the unknown
mass of the object can
be determined by
balancing the torques.
The mass of an object is
a fundamental property
of the object; a
numerical measure of its
inertia (a property
matter by which it
remains at rest or in
uniform motion in the
same straight line
unless acted upon by
some external force); a
fundamental measure of
the amount of matter in
the object. The weight
of an object is the
force of
gravity
on the object and
may be defined as the
mass times the
acceleration of gravity.
#6
Influences
which cause changes in
the motion
The influences which cause changes in the motion of your K*bot are
forces and torques.
However, if the point of
action of one of the
forces is moved off the
line of action, the
result is a torque. Torque
is two equal and
opposite forces passing
through the same point
(on the same line of
action) that will cancel
each other out. This
torque is called a
couple or moment. All
three terms (moment,
torque, and couple) are
equivalent in meaning,
but there are language
conventions for their
use. Torque usually
refers to moment with
its axis aligned with
that of a shaft. The
term “couple” usually
refers to moment due to
equal and opposite
forces separated by a
distance. The effects
of forces on objects are
described by
Newton's
Laws. A force may be
defined as any influence
which tends to change
the motion of an object.
The relationship between
force, mass, and
acceleration is given by
Newton's Second Law. The
relationship between the
external
torque
and the
angular acceleration
is
of the same form as
Newton's second law
and is sometimes called
Newton's second law for
rotation. The rotational
equation is limited to
rotation about a single
principal axis,
which in simple cases is
an axis of symmetry. Newton’s
First Law
states that an object
will continue at rest or
in motion in a straight
line at constant
velocity unless acted
upon by an external
force.
Newton's Third Law
states that all forces
in nature occur in pairs
of forces which are
equal in magnitude and
opposite in direction.
A
“force” is a push or a
pull or an interaction
between two objects. If
there aren't two (or
more) objects there
cannot be a force. The
objects don't
necessarily have to
touch, e.g. gravity,
electromagnetic and
electrostatic forces. A
force is represented by
a vector: the magnitude
represents the magnitude
of the force; the
direction represents the
direction in which the
force acts; the origin
defines where the forces
act on the object.
Forces can cause things
to move, bend, or break.
The weight of an object
is a force downward
toward the center of the
Earth caused by the
acceleration of gravity.
Impact forces are caused
by the sudden
deceleration of a thrown
or moving object.
Centrifugal forces
are caused by the
acceleration of a moving
and turning object.
Force is measured in
units of Newtons (N) in
the international system
(SI) and in units of
pounds (lb) in the
English and United
States (USCS) systems.
Force distributed over
an area is pressure, and
conversely, pressure on
an area results in a
force. If you push on a
door to open, it the
area of contact of your
hand distributes the
force of the push into a
pressure over the area
of contact. The dynamics
of pushing the door open
are simplified if we
consider the push as
acting on a single point
within the area of
contact. The magnitude
of the force tells us
how much force is
applied. The direction
is the particular line
of action of the force.
#7
What is Friction and how
will it help my K*bot
Friction is a force that
resists sliding motion
and is always in a
direction opposite to
the sliding motion or
applied force. The
amount of friction is
proportional to the
force holding two
surfaces in contact and
depends on the materials
of the two surfaces.
This is called
Coulomb friction,
after the scientist who
developed this
mathematical
relationship. Coulomb (koo~lam)
friction does not depend
on the area of contact,
only the force pressing
the two surfaces
together. For example,
metal sliding on ice has
a very low coefficient
(contributing factor) of
friction (m), and rubber
on asphalt has a fairly
high coefficient
(contributing factor) of
friction. If you are
driving a car on ice,
getting wider tires
won’t help you. You need
to change the properties
of the tires such as
putting metal studs in
them or adding chains.
Frictional force is the
force of compression
between the two
materials and the
coefficient
(contributing factor) of
friction. The
contributing factor of
friction has two
groupings, static (fixed
position) and dynamic
(active). Generally, the
contributing factor of
static (fixed position)
friction is higher than
the contributing factor
of sliding friction.
That’s why a car will
stop faster if the
brakes are controlled so
that the tires don’t
slip.
Traction friction
concerns the ability
of a tire to start,
stop, and not skid
sideways or backwards.
Automobile tires have
treads to improve their
traction and decrease
the chances of a skid.
The treads are shaped
differently for various
weather conditions. K*bot
tires don't have treads
when using K*bot
competition rubber bands
which use the adhesive
properties of the rubber
for their traction.
Instead of standard
K’NEX tires, K*bots use
Alliance rubber bands
over the tires that are
soft and almost sticky
to the competition
rubber surface. This is
a form of
molecular friction,
and it is related to the
surface area on the
competition table. When
a K*bot slides during
competition, it is more
controlled with this
type of tire than a tire
with treads, which may
skid more frequently.
The warmer the K*bot
tire gets, the better
its traction. Even
though the blocks look
smooth, they are
actually quite rough at
the microscopic level.
When you set the block
down on the table, the
little peaks and valleys
get squished together
and some of them may
actually weld together.
The weight of the
heavier block causes it
to squish together more,
so it is even harder to
slide.
Different materials have
different microscopic
structures. It is harder
to slide rubber against
rubber than it is to
slide steel against
steel. The type of
material determines the
contributing factor of
friction, the ratio of
the force required to
slide the K*bot to the
K*bot’s weight. If the
coefficient
(contributing factor)
were 1.0 for example,
then it would take 2
pounds of force to slide
the 2-pound K*bot, or 3
pounds of force to slide
the 3-pound K*bot. If
the coefficient were
0.1, then it would take
two tenths of one pound
of force to slide the
2-pound K*bot. So the
amount of force it takes
to move a K*bot is
proportional to that K*bot’s
weight. The more weight,
the more force required.
Advance thinking that
rougher surfaces
experience more friction
sounds safe enough - two
pieces of coarse
sandpaper will obviously
be harder to move
relative to each other
than two pieces of fine
sandpaper. But if two
pieces of flat metal are
made progressively
smoother, you will reach
a point where the
resistance to relative
movement increases. If
you make them very flat
and smooth, and remove
all surface contaminants
in a vacuum, the smooth
flat surfaces will
actually adhere to each
other, making what is
called a "cold weld".
Once you reach a certain
degree of mechanical
smoothness, the
frictional
resistance is found to
depend on the nature of
the molecular forces in
the area of contact, so
that substances of
comparable "smoothness"
can have significantly
different coefficients
(contributing factor) of
friction. When
coefficients of friction
are quoted for specific
surface combinations, it
is the kinetic (related
to or produced by
motion) coefficient
(contributing factor)
which is generally
quoted since it is the
more reliable number.
#8
K*bot
speed and acceleration,
gears, and motors
Speed in K*bot
competitions is usually
not a factor concerning
who will win a match.
Division 1 and 2 K*bots
are driven by who has
the most powerful and
well constructed K*bot.
For example, It will
help to a certain extent
the K*bots tire rotation
movement to have the
small blue or silver
K”NEX washers between
the K*bot frame and the
moving tire on the shaft
of your K*bot. Division
1 and 2 are power
Divisions. To be
successful in these two
Divisions you will need
to understand how gear
reduction works.
Gears provide the most
efficient power
transmission with the
greatest
power to weight ratio.
Most cars and trucks
have internal combustion
engines utilize gears
for the transmission of
power from the engine to
the wheels. One of our
advanced students in
Division 2 created a
gear change initiated
transmission which went
from non-gear reduction
to double gear reduction
when it confronted the
pressure from the other
K*bot during
competition.
Gear reduction
is used on K*bots and
involves using gears of
two different sizes to
work together. Because
they are of differing
gear sizes they will
have a different
distance around the
outer edge. Let's first
look at a 2 inch
circumference
diameter gear attached
to the tire rod shaft.
Roll your 2 inch gear
for one complete
revolution on a flat
surface. You will see
that the distance
covered in one
revolution is equal to
the circumference of the
gear. A gear that is
twice the size of
another in diameter will
cover the same
distance as the larger
gear when it has
completed 2 full
revolutions. The smaller
1 inch gear attached to
the motor rod shaft has
to spin twice whereas
the big gear attached to
the tire rod shaft only
has to spin once.
In
other words the input
rod shaft has to spin 2
times to get the output
rod shaft to spin 1
time. Thus we get a 2 to
1 gear ratio more
commonly written as 2:1.
A configuration like
this is referred to as a
single stage reduction
because there is only a
single interaction
between two gears. This
gear reduction will
increase the power to
weight ratio of your K*bot,
but will reduce the
speed of your K*bot
during competition.
There are different
areas of K*bot design
that could benefit from
designing a single or
double gear reduction
K*bot.
There are also
multi-staged reductions
which involve many
gears. How can you
determine which and how
many gears to use? Gears
can be understood
because they have
several teeth. If you
have a small gold K'NEX
input gear with 14 teeth
on it and a larger
K'NEX yellow output gear
with 34 teeth then the
14 tooth gear will have
to rotate about 2.2
times (34/14) to get the
34 tooth gear to spin
once. Therefore we have
a 2.2:1 single stage
reduction. If you repeat
this twice you will have
a 4.4:1 double stage
reduction K*bot. The K*bot
drive train consists of
a 3 volt DC electric
motor connected to a
K’NEX rod. What are the
advantages and
disadvantages of gear
reduction? Disadvantage,
you lose speed. The
advantage of gear
reduction is greater
power to weight ratio.
Division 1 or 2 K*bots
have a
Direct current (DC)
Motor (K’NEX
# 92880 red motor).
Most DC motors at normal
operating voltages spin
at over 1,000
revolutions per minute.
The red # 92880 K'NEX
single power controller
and motor units have
been built as a toy
industry motor to run at
34
revolutions per minute. The spinning of the armature within a magnetic field induces a
voltage in the armature
windings. This induced
voltage is opposite in
direction to the
external voltage applied
to the armature, and
hence is called back
voltage or counter
electromotive force. As
the motor rotates more
rapidly, the back
voltage rises until it
is almost equal to the
applied voltage. The
current is then small
and the speed of the
motor will remain
constant as long as the
motor is performing no
mechanical work except
that which is required
to turn the armature.
However, if the motor is
under load like it would
be during a regular K*bot
competition against
another K*bot, it will
slow down.
#9
Understanding a K*bot's
wheels, axles, levers,
and incline planes
-
All Divisions of
K*bots use
wheels and axles
to turn or move their K*bot
during competition. A
force is applied by hand
in Division M or by
motor or motors in
Divisions 1, 2, and 3
either to turn the wheel
of a K*bot or to turn
the axle. Wheel and axle
mechanisms behave like a
rotating lever with the
center of the axle as
the
fulcrum (fool~kruh~m)
(a support on which a
lever pivots) and the K*bot
wheel rim as the outer
edge of the lever. K*bot
flipper mechanisms in
Division M are pushed in
order to create movement
of a weapon. The further
the effort is from the
support on which a lever
pivots the less effort
the Division M student
will need to flip the
other K*bot, i.e., Three
time Division M World
Champion Harrison
Stanton is from
Henderson, Nevada.
Harrison was a master at
flipping opponent out
of the arena during a K*bot
match. In Division 3
most K*bots have larger
wheels which require
less effort to move
their K*bot during a
match than smaller
competition wheels. K*bot
wheels and axles behave
like a rotating levers.
For example, when the K*bot
wheel turns, the rim
will rotate a greater
distance than the axle
with less effort
involved in turning it.
The axle at the same
time is turning a
smaller distance;
however, it gains in
force what is lost in
distance moved. Force is
simply increased because
of the difference in
size between the K*bot
wheel and the axle. To
simplify things you want
your K*bot wheel to use
as little effort of
force as possible
applied over a large
turning distance and
your axle to have the
smallest turning
distance with the most
powerful output force
possible for your K*bot.
Creative thinking skills
applied to K*bot design
can be applied to
changing the direction
of force on your K*bot,
i.e., creating a hand
operated vertical pulley
system in Division M to
change the direction of
another K*bot during
competition.
#10
What does
all this mean when you
build a K*bot
The K*bot will be more
stable if it is
structurally well built
and the center of
gravity is closer to the
object that is
attracting it (the K*bot
competition table
surface). Just because a
K*bot looks symmetrical
and even, you should
still look at the K*bot
mass and density to see
where the weight is
focused. The larger the
mass of an object the
stronger the gravity
will pull. The smaller
the base the easier for
the center of gravity to
exceed the pivot edge or
point making the object
topple over.
Ideas for stabilizing an
awkward and unbalanced
K*bot
for competition
|
Problem
|
Try to
|
Or try
|
The desired K*bot
result |
|
The K*bot is
top heavy.
|
Move the
densest part of
the K*bot to the
lowest possible
point in the
object.
|
Add
weight/mass to
the bottom of
the K*bot to
help stabilize
it.
|
Lowering the
center of
gravity reduces
the distance
between the K*bot
and earth. This
increases
stability.
|
|
Weighting
is as low as it
can get but the
K*bot is still
tipping.
|
Widen the
base of the K*bot
to increase the
footprint of the
K*bot.
|
Lengthening
the K*bot base
will have the
same effect as
widening the
base.
|
Lengthening
the base makes
the center of
gravity have to
travel further
to reach an edge
in order to
cause the K*bot
to topple.
|
|
The center of
gravity is as
low as it can
get and the base
can’t be bigger.
|
Move weight
from one side of
the K*bot to the
other.
|
Add weight to
counteract any
K*bot unbalance.
|
If the K*bot
has a weight
bias to one side
or the other,
this will help
counteract it
and make the K*bot
symmetrically
weighted.
|
Go to
kbotworld.com and
click on
2011 K*bot Guidebook
for Rules® K*bot
class checklist of some
things that need to be
checked and completed
with your K*bot before
you compete.
#1 When you receive your
starter K*bot on the
first day check the
voltage on your two AA
batteries in the battery
pack. Each battery
should be at least 1.47
volts. One of the K*bot
instructors will show
you how to use the
battery tester. If the
voltage is 1.46 or lower
ask the instructor for
an official battery
replacement. Batteries
checked: Yes
____No____
#2 Read the 2011 K*bot
Guidebook at
kbotworld.com to go over
all the Division 1-2-3
and M rules and
regulations which cover
everything from weight
and size detentions to
rules and regulations
for each Division. Yes I
have read the K*bot
rules and regulations
for 2011 ___ No not to
this point ____
#3 Make sure the rubber
tire bands that cover
the tires on Division 1
and 2 K*bots are in good
condition. If they are
not, replace them with
new rubber tire bands.
Yes they were replaced
___No they are
okay___
#4 Make sure the tan pin
clips and blue clips
that are holding wheels,
gears, and frame
together are secure and
tight. Yes all the clips
are in place ___ No some
clips are loose or
missing to secure parts
on the K*bot
____
#5 Check your K*bot's
frame to make sure it is
stable and balanced
correctly as mentioned
in the K*bot Student
Starter Class booklet.
If you are not sure
about the K*bot frame
have your instructor
take a look at it for
suggestions. Yes it is
stable ___ No I am
having the instructor
look at it for
suggestions
____
#6 Seven inch long black
rods should only be used
for axles and frame
structure. Try to keep
the number of these rods
to fewer than 20 on your
K*bot. Seven inch gray
rods can be also used on
your K*bot. However, try
not to use more than 20
gray rods on your K*bot.
No more than 40 seven
inch rods total can be
used on a K*bot. Yes I
checked on the number of
these seven inch rods on
my K*bot and it is under
41 ____ No I did not
check on the number at
this time
____
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