Design and Stress Analysis of Extraterrestrial ... - The Black Vault

The solution can be written in
the form (3.66) or with transformation
it can be similar for hyperbolic disks, in the form of (3.67)':
I=a,•,. + CY-
+ + (3.67")
+a rd;
J
Coefficients a and 0, as for hyperbolic disks, depend on the geometric
form, the disk material, and diameters D and D.. Numerical values
of the coefficients are given in the form of nomograms where they
are determined as a function of two arguments:
t= DIand t- (see Fig. 3.33c).
d
d
Graphs for determining coefficients a and 0 for conical disks are
illustrated in Figs. 3.42-3.47. If the disks are not made of steel,
coefficients a and B1, as for hyperbolic disks, must be multiplied
by the ratio p/p CT In formulas (3.67') Td = (dn/10 6 )2, where
d is the diameter of the complete cone in mm.
In analyzing disks of hyperbolic and conic shapes we must assume
that in the center of a disk without openings up to a certain
diameter D < Da the thickness of the disk is constant (which usually
is the case). Coefficients a and 0 for hyperbolic and conic disks
are given for the arguments x = (D 1 )/(D) > 0.01 and t 1 = (D 1 )/(d) >
0.01.
Boundary conditions
For disk analysis differential equations of the second order
were obtained. Therefore, in order to compute stresses we must
have at least two boundary conditions.
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