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EXSTRACT C.
For the table of contents of the
EXTRACT of the compendium.
Return to EXTRACT B
Part B: The influence of the
impact on a body inside the struck car.
Chapter B.1 Acting forces towards
the body when driving and when velocities change.
In the former chapter I have shown the mechanisms
affecting the cars in a collision.
To evaluate whether or not persons inside the
cars have been exposed to high loads, I have to study how the
body might be affected during such an incident.
Fig B.1a shows a person driving a car at a constant
velocity on a straight and horizontal road. In this condition
it's only the forces caused by the mass of person acting between
the person and the chair. See Fig. B.1b
When the car is increasing it's velocity the acceleration
a causes a pressure acting from the back of seat accompanied by
a horizontal force between the seat and the lower part of the
body. The total sum of accelerating forces are:
Sum F = m * a
The horizontal force acting between the seat and
the lower part of body Ff can not exceed the FRICTIONAL FORCE
See Fig. B1.c. In the figures above only the real acting forces are shown, not the inertial
"forces" in the opposite direction.
When the car is decreasing it's velocity during
a retardation or a negative acceleration -a , all forces acting
to reduce the velocity of the person is the horizontal force Ff
which can not exceed the frictional force between the frictional
force f and, if the retardation is high enough to strain the safety
belt, forces acting through that belt or, in a strong collision,
additional forces cting between structures in front of the body
like the steering wheel etc.
An airbag, which is rapidly inflated in front
of the person if the retardation of the car exceeds a specified
limit, is emptied as the head is slowed down to the velocity of
the car, reducing the retardation of the head and relieving the
neck region from the high retarding stretching forces combined
with an extreme forward inclination.
The forces acting from the back of the seat towards
the person during the increase of velocity is an acting force
increasing the velocity of the person. The person feel this acceleration
like being pressed into the back of seat.
This pressure is a result of the resistance of
the body against changes of it's velocity. This resistance, named
as the "Inertial Force" is a reaction to the real acting
force F.
| The so called "Inertial Force" is not a real force and can not make any changes in the situation of a body.
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1. The behaviour of a body when
affected by high forces acting in a very short time.
A question to be discussed when studying the "whiplash-mechanism"
including the effects on a body is how the body will respond to
such loads.
The acting forces towards a body in a car crash
will range the scale from the lowest to the most extreme. The
deformation of the cars in a high velocity frontal collision will
last about 0,070 seconds.
A rear end collision will last from about 0,100
to about 0,200 seconds. During this period of time, the struck
car may be accelerated from 0 to about 60 km/h and even more.
The persons inside the hit car may achieve a significant higher
forward velocity. Accelerations of the head during tests of frontal
collisions are measured even at approx. 100 G. It means an accelerating
force of 6,9 kN towards a head with a mass like 7,0 kg.
Affected by high impulses acting like very high
forces in a very short period of time I find it reasonable to
assume the behaviour of the body to be similar to the behaviour
of a body of an unconscious person, responding to the acting impulses
almost like it is lifeless.
Chapter B.2 Movements and loads
acting on a person inside a vehicle exposed to an impact.
1. Acceleration of objects inside
a vehicle exposed to an impact.
Due to an objects resistance
against changes, any object within another object during an acceleration
will remain in it's velocity until it is exposed to an accelerating
force from the surrounding body. According
to the "Law of inertia".
The behaviour of such an object will depend on
how the object is connected to the vehicle.
An object fixed to the vehicle by bolting or welding
will follow the accelerations of the vehicle unless this is not
overloading the strength of fastenings. If so the structure might
be deformed and broken giving a movement of the object related
to the vehicle.
An object connected to the vehicle in a flexible
way will, according to the "Law of inertia", be accelerated
as the fastenings are deflected opposite to the direction of changes.
A free rolling object with almost 0 friction will
remain in it's velocity unless it's picked up by a vertical part
of the vehicle.
If the object inside a vehicle during acceleration,
either increasing or decreasing it's velocity or changing it's
direction of motion, is not fixed to the vehicle, the acceleration
of the object will be like an impact between this object and the
vehicle unless the acceleration a/g (g is the acceleration
due to gravitation.) does not exceed the coefficient
of friction between the object and the vehicle.
A person seated inside a car during any acceleration
has to behave like an object not fixed to the car. In every change
in the velocity of car it will be a delay between the acceleration
of car and the seated body causing a difference between their velocities.
For the Next
page. Part B continues.
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The contents of, or any part of
this compendium, are not allowed to be made public or copied without
my permission.
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