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

-B -
r 2S
dr +ha•,
.1 r(3.87)
Ir
is
a rB
For a disk with a central opening ara is known. Constant B
determined from the known load on the outer loop (when r = RB
Orn). a
For a solid disk, in order not to pass to the limit when r = 0,
we assume that up to a certain small value of r = Ra the equality
ara = aqa is preserved (usually, in this case, we assume Ra = O.1Rs).
Then from equation (3.86) we obtain
'B=Ra, a•a- (3.88)
is
In equation (3.86) there remains one unknown quantity ara, which
determined from the known load on the outer loop.
Usually no less than two approximations are made for ar in order
to assure the accuracy of the obtained results, especially as the
determination of ar2 does not require a large amount of computation.
Without making the first approximation of (Pl, we immediately
determine ar2' From equality (3.84) we find the difference
(a•I - arl) after the substitution into this equality of the value
of arl:
0] +,)EI
%i -- ,i = rl+,• r~aidr -- cit -- 1 - ) , -
P Ra
•(l-Pl)-I r•'"dr-m-A
. r " (3.89)
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