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

-- - '
P l --
u -A
- a .' •
U1 1.
- I± -+
EIFI- E 2 F 2
Finally,
al.At - a)t 6 2
l.ll - a,.At)
F:1 ( + 12
( I I
+
( IF -- 2 ( Ki +F IP-2F 2 (4.3)
Thus we obtain the unknown forces and stresses in the pipes.
With a larger number of pipes the problem is still so)Jed similarly.
Mobility of the attachment appreciably reduces stresse. in the
pipes, which is apparent from the following example.
Example 4.2.
Find the stress in pipes which have the same
parameters and operate under the conditions in the preceding.
example (example 4.1).
form
Since al = a2; E 1 = E 2 ; F 1 = F 2 . formula (11.3)
will have the
U =-aM- 0 -S1t2" =- Ea(tl t2),
2/E
where At 1 - At 2 = t 1 - to - (t 2 - to) t 1 - t 2 .
Thus, the free attachment of two pipes reduces the stresses
in them by half.
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