Biomedical Engineering Reference
In-Depth Information
6.4
A bar with Young's modulus
E
, cross section
A
and length
is clamped
at
x
0. A distributed load
q
(
x
) is applied in x-direction on the bar, accor-
ding to:
=
e
β
x
,
q
(
x
)
=
α
x
with
constant load parameters.
(a) Determine the stress field
α
and
β
(
x
).
(b) Determine the displacement field
u
(
x
).
σ
6.5
A bar with Young's modulus
E
, density
is hanging by its own weight. The gravitation acceleration is
g
. The point
where the bar is clamped is located at
x
=
0. Determine the displacement
field
u
(
x
) and the length change of the bar, due to gravity.
ρ
, cross section
A
and length
x
A
q
6.6
The central part of a femur is modelled as a straight tube with outer diame-
ter
D
, inner diameter
d
and length
. Assume that the cortical bone behaves
like a linear elastic material with Young's modulus
E
. In addition, assume
that the bone is loaded with an axial compressive force
P
.
P
øD
x
ød
