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

Table 5.1.'
(Continued),
i
PI
3,3 0,022 '0,010(i •u,0334 " OL05s
3A4 0,0409 0.02-37 0,0323 0,008.5
3.,5 0,.389 0,0177. 0,0283 0.010i
.,6 0,0366 0,0124 0.0245 0,0121
- 3,7 0,0341 0,0079 0,0210 0,0131
0,031;4 0,0040 0;0177 r,,0137
3,9 0.028'9 0,0008' ' 0.0147 0,0140
4,0 0,0258 0,0019 0,0120 0,0139
With each half-wave (for example, sinusoid in
Fig. 5.17) the
amplitude of tle function 'changes sign and decreases in absolute
magnitude by a factor of 23.14.' Ifthe maximum of all functions
agreed with the origin of coordinates x = 0, we could conchude that
with.a cylindrical shell iength of I = 1/2 = 2.14v•h,
its calcula'ion
as.a "long" shell, without allowing for thý mutual effect of both
edges, leads to error no't exceeding 5%. However, since the maximum
amplitudes of these functions do not always agree with the edge of
the !shell, for ordinary calculdttions a cylindrical shell can be
assumed "long" if I>
After finding moment Rx and bend w, we find from expressior
(5.16) momernt M and the value of force T from equation (5.3).
It is obviou's that the outer cr.oss section will also be the
most ptressbd. On it are the following bending moments and forcesmoment
Mx Dw"Mo; moment Mq 1 = p.Mx; tension
.Bhw
Eh
, r2 D o + 0 Qo).
According to these lodds, stress'es are
Ew
6MV
-' h2 h2 (5.23)
S531