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

These coefficients are conveniently determined according to
special nomograms depending upon the arguments x = D 1 /D and
z = h/h 1
(see Fig. 3.33b).
We should note that coefficients aC and a have a linear dependence
on the density of disk material. Graphs for a and are pLotted
for steel disks. In analyzing disks of other material the coefficient
a C and C3, determined from the graphs, must be multiplied by the
ratio p/pCT where p is the density of the disk material and pCT
is
the density of the steel.
Coefficient T in formulas (3.67) is equal to
T (Dn )21
-~106)
where D is
the diameter on which stresses are determined, mm;
n is
the disk rpm.
If n = 0, the third terms on the right side of formula (3.67)
disappear and we obtain expressions for stresses in
a nonrotating
disk loaded on the boundaries by external forces.
Graphs for determining the coefficients a and $ for hyperbolic
disks are given in Figs. 3.35-3.40.
For disks of constant thickness (m = 0; z = 1) the graph of
coefficients a and 0 are given separately as a function of one
argument x = D 1 /D (Fig. 3.41).
Conical disks. The equation (3.63) for conical disks is transformed
into a hypergeometric differential equation whose solution is given
in the form of infinite series and, for practical use, can be represented
only in the form of a nomogram or numerical tables.
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