This preview shows pages 1–2. Sign up to view the full content.
Q.8.30
Consider a steel rotating disk of hyperbolic crosssection with a = 0.125m, b =
0.625 m,
,
125
.
0
m
t
i
=
.
0625
.
0
m
t
o
=
Determine the maximum tangential force that can
occur at the outer surface in newtons per meter of circumference if the maximum stress at
the bore is not to exceed 140 MPa. Assume that outer and inner edges are free of
pressure.
Solution:
We start by writing the profile equation for the hyperbolic crosssection of the disk;
r
t
t
s

×
=
1
Now, since we are given the values of the thickness at the inner and outer radii, we solve
the following two equations simultaneously for getting s and
t
1
)
125
.
0
(
125
.
0
1
s
t

×
=
and,
)
625
.
0
(
0625
.
0
1
s
t

×
=
to get:
0.4306
s
and
05104
.
0
1
=
=
t
We will use this value of “s” to solve the auxiliary equation to get values of
m
m
2
1
,
0
)
.
1
(
2
=
+

+
s
sm
m
n
which has the roots:
+
+
±

=
)
.
1
(
2
2
2
2
/
1
2
,
1
s
s
s
m
n
×
+
+
±

This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 11/22/2011 for the course EML 6653 taught by Professor Law during the Fall '09 term at University of South Florida  Tampa.
 Fall '09
 Law

Click to edit the document details