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

Substituting the difference (awl - a)rl into equation (3.82), we
obtain the second approximation for ar:
a L1 +1)d rcatdr-Eal hQtl Qw2 rhidr
h r dr ' "E
r-) rs dr-- (I -- #)z, -, L r
r--LazrA 'E
Sfr~I~ * E r r 2 +IL
L Ra (3.90)
The constant A for a disk with an opening is determined from the
equation (3.90) with a known load on the outer loop. For a disk
with a central opening when r = R a = a and according to
formuLa (3.85)
A ==--• IA1--PY):,a+4-Eaaota].(3)
(3.91)
Substituting this value of A into equation (3.90), we determine
ara and then all the other values of ar2' After determining ar2
(and if this approximation is sufficient) we find the values of
a92 from equation (3.89):
,;2 -- (& - E,.- r•u dr -- E- a -- I " .) -
R a ,
I rl E r+ " (3.92)
Ra
For a solid disk the determination of aP2 should begin with
r = R and instead of the constant A, we. should substitute its value from
formula (3.91).
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