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FIGURE P3.30
A thin circular ring.
149
PR
3
)
3.32 Find the horizontal displacement of the ring of Fig. P3.30a at a point 90
◦
from
P
.
Answer:
2
V
P
=
0
.
/(
EI
Hint:
Employ a unit load at the point at which the displacement is sought.
2
2
2
PR
3
1
1
Answer:
V
=
π
−
EI
3.33 Determine the axial forces in the members of the pin-connected, statically indetermi-
nate structure of Fig. P3.33. The cross-sectional area of each bar is 4 in.
2
FIGURE P3.33
Hint:
Treat
N
|
2
as a redundant force. From the condition of equilibrium express
U
i
/∂
N
|
1
and
N
|
3
in terms of the unknown
N
|
2
. Use
∂
N
|
2
=
0.
√
2
|
2
=
/
=
|
1
=
|
3
=
(
−
|
2
)/
=
Answer:
N
P
2
50,000 lb,
N
N
P
N
35,360 lb.
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