Civil Engineering Reference
In-Depth Information
U1
U2
U3
27.25'
L3
L4
L1
L2
8 @ 19.55' = 156.38'
-1
Reaction at R0
Reaction at R8
-1
FIGURE E5.5a
1
U1
U2
27.25'
L2
L1
1
8 @ 19.55' = 156.38'
-1.08
-0.54
Member U1-U2
FIGURE E5.5b
In
Figure E5.5c:
with unit load at L1 and taking moments about U1, the
force in L1-L2
=[
(
1
/
8
)(
7
)(
19.55
)
]
/
27.25
=+
0.63 (tension direction to balance
reaction moment about U1).
In Figure E5.5c: with unit load at L2 and taking moments about U1, the force
in L1-L2
=[
(
2
/
8
)(
7
)(
19.55
)
−
(
1
)(
19.55
)
]
/
27.25
=+
0.54 (tension direction to
balance reaction moment about U1).
In
Figure E5.5d:
with unit load at L1 and summing horizontal forces in panel
1-2, the force in U1-L2
0.63
)(
19.55
2
27.25
2
)
1
/
2
/
19.55
0.15.
In Figure E5.5d: with unit load at L2 and summing horizontal forces in panel
1-2, the force in U1-L2
=−
(
−
0.54
+
+
=−
0.54
)(
19.55
2
27.25
2
)
1
/
2
/
19.55
=−
(
−
1.08
+
+
=+
