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Chapter 5: The Pin Column Model
The flatland model of locks can explain effects that involve
more than one pin, but a different model is needed to explain
the detailed behavior of a single pin. See Figure 5.1. The pin-column
model highlights the relationship between the torque applied
and the amount of force needed to lift each pin. It is essential
that you understand this relationship.
In order to understand the "feel" of lock picking you need to
know how the movement of a pin is eect by the torque applied
by your torque wrench (tensioner) and the pressure applied by
your pick. A good way to represent this understanding is a graph
that shows the minimum pressure needed to move a pin as a function
of how far the pin has been displaced from its initial position.
The remainder of this chapter will derive that force graph from
the pin-column model.
Figure 5.2 shows a single pin position after torque has been
applied to the plug. The forces acting of the driver pin are
the friction from the sides, the spring contact force from above,
and the contact force from the key pin below. The amount of
pressure you apply to the pick determines the contact force
from below.
The spring force increases as the pins are pushed into the hull,
but the increase is slight, so we will assume that the spring
force is constant over the range of displacements we are interested
in. The pins will not move unless you apply enough pressure
to overcome the spring force. The binding friction is proportional
to how hard the driver pin is being scissored between the plug
and the hull, which in this case is proportional to the torque.
The more torque you apply to the plug, the harder it will be
to move the pins. To make a pin move, you need to apply a pressure
that is greater than the sum of the spring and friction forces.
When the bottom of the driver pin reaches the sheer line, the
situation suddenly changes. See Figure 5.3. The friction binding
force drops to zero and the plug rotates slightly (until some
other pin binds). Now the only resistance to motion is the spring
force. After the top of the key pin crosses the gap between
the plug and the hull, a new contact force arises from the key
pin striking the hull. This force can be quite large, and it
causes a peak in the amount of pressure needed to move a pin.
If the pins are pushed further into the hull, the key pin acquires
a binding ction like the driver pin had in the initial situation.
See Figure 5.4. Thus, the amount of pressure needed to move
the pins before and after the sheer line is about the same.
Increasing the torque increases the required pressure. At the
sheer line, the pressure increases dramatically due to the key
pin hitting the hull. This analysis is summarized graphically
in gure 5.5.

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