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

axial stresses. Simplicity fully Justifies the errors which will
be present in the calculations.
)_105
A250, 5OO9760O ;-899 "" 0 ~1
.
jV-42+12 0) 10~700-.8Ma0.2K 5-4
1=(a..1200
p-('-100,.40 t. 4 ', .. 14-5'/vl
(a.)
(b)
Fig. 2.32. Example of temperature gradient and pressure
gradient in two-layer shells: Wm - liquid metal; M -
liquid; F - gases; 1 - hot shell; 2 - cold shell.
One of the peculiarities of this analysis is also the fact
that ordinarily analysis is made on the ductility reserve since
two-layer shells, in most cases, are used as pipes for carrying the
working fluid where the pass-through sections must preserve their
basic parameters throughout the operation of the design.
We know: p is the pressure of the gas for the liquid in the
working cavity of the unit in N/im 2 ; PM is the pressure in the interhousing
space in N/mi 2 ;. the geometric dimensions of the shells and
the unit are h, R; the coefficient of linear expansion for the shell.
I: material a and their mean temperature t; operating time T, shell
Sstrain diagram a = Ec. Find ao, I)a, n 0 2 .
V
All parameters relating to the inner shell we shall designate
with one prime, and parameters relating to the .outer shell with two
primes. Let us assume that the radii of the shells are near each
other, i.e., R' I R" b R. We shall also keep in mind that the
connections of the shells are undeformable in a radial direction
and pliable in a peripheral direction.
111i 3