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Chapter 8. Optimal composite structures 39 I
L i ,
0 0.1 0.2 0.3 0.4 0.5 0.6
Fig. 8.1 1. Mass efficiency parameter p and the normalized internal volume P = V/RZof the isotensoid
pressure vessel as functions of the polar opening radius.
Eq. (8.69), while for the second one we substitute 1 from Eq. (8.70) and put T = 0,
p =PI,where PI is specified by Eq. (8.68). For both segments, we arrive at one and
the same result, i.e.
The shell mass and internal volume can be found as
where p is the density of the material. The mass of a composite pressure vessel is
often evaluated by using the parameter p in the equation
PUV
M=p-.
01/P
Here, pu is the ultimate pressure, and @l/p is the specific strength of the material.
The variation of the parameter p and the normalized internal volume v = V/R’ as
function of the radius of the polar opening are shown in Fig. 8.11. Other
applications of uniformly stressed composite structures can be found elsewhere
(Obraztsov and Vasiliev, 1989).
