Biomedical Engineering Reference
In-Depth Information
where N was found to be 11.1N. The force perpendicular to the shear plane F
s
can now be determined by,
F
F
Cos
F
Sin
(7)
s
h
v
And was estimated to be 8.76N. The force normal to the shear plane N
s
is
given by the equation:
N
F
Cos
F
Sin
(8)
s
v
h
where N
s
is 9.61N. Now the frictional force F
f
is:
F
F
Cos
F
Sin
(9)
f
v
h
F
f
is approximately 6.67N. It is possible to check this value with Merchant
and Zlatin's [2] nomograph for frictional force. However, the values for F
h
and
F
v
are so small the extreme limits of the nomograph are being tested so it is
difficult to give an accurate value for F
f
, it is certain that this value is below
10N which is in close agreement with the calculated answer. The shear stress η
is found using the following quotient:
F
s
A
(10)
s
which has a value of 1.8GN/m
2
. The direct stress ρ is found by applying the
relationship,
N
s
(11)
A
s
ζ is found to be 1.95GN/m
2
. The chip thickness ratio, r, is given by:
t
r
(12)
t
c
