5-6. Force F
is exerting on the piston of a thin-walled cylinder as shown below. The
diameter of the piston is 10 in, and the wall has a thickness of 3 in. If the
internal pressure caused by F follows .
Determine the distribution of the Hoop stress and longitudinal stress
developped in the cylinder.
Solution:
Hoop Stress:
Since
,
also
follows a normal distribution, and
Thus,
follows a normal distribution
. Ans.
Longitudinal stress:
Thus,
also follows a normal
distribution, and
Thus,
follows a normal distribution
. Ans.