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

Near the faces of a shell there will occur a certain bend
as a result of the effect of its
attachment.
f A4
support.
Let us examine the stresses in a shell if its ends have no
In this case, stresses a, on the end will be equal to zero.
Since the stresses (5.
3 4) can be obtained as a result of applying
bending moment to the face of the shell, we shall apply moment
0 M= , which is attained by a rigid attachment of the shell eril.
With allowance for the sign,
o= S 0 --ax#2EuAth2
X; A1o,= -
12(1 (5.35)
In order to create the same conditions as exist without
attachment of the face (ax = 0), Jt is necessary to apply ctistribated
moment of the same magnitude but of the opposite uign.
in
Stresses
a free end will be defined as the sum of stresses determined bý
formula (5.34) and stresses caused by moment M 0 (Fig. 5.25).
II
ai) (a) 6) (b) o (c)
Fig. 5.25. Determining stresses in the presence of a
temperature gradient through the thickness.
are known:
Loads in a free shell causecd by moment M 0 applied tc the end
JPra.ýt2:- 6,1 ;
12(1-p.)' -
AL~o(O) =v,' 0o= Ea~th2.u." " •÷(Al).z •.,. ('l);
a
12(1--p.)
T, (0) Lh [E (0)]=L M •_o 0
r r 2- 2 D
- h 1- . - "(5.36)-
i( .35