Civil Engineering Reference
In-Depth Information
50
40
U
hn1
U
hn3
U
hn6
U
hn10
U
hn15
U
hn20
30
L
b
= 10 ft
φ
20
= 30
o
10
S
c
/S
b
= 4
0
0
0.1
0.2
0.3
0.4
0.5
0.6
Horizontal End Column Movement, U
h
, ft
Fig. 9.52
End Column Movements at Backfill Stage (φ = 30º, All Bays, L
b
= 10 ft,
S
c
/S
b
= 4)
50
40
U
hen1
U
hen3
U
hen6
U
hen10
U
hen15
U
hen20
30
L
b
= 10 ft
φ
20
= 30
o
10
S
c
/S
b
= 4
0
0
0.1
0.2
0.3
0.4
0.5
0.6
Horizontal End Column Movement, U
h
, ft
Fig. 9.53
End Column Movements at Expansion Cycle (
φ
= 30º, All Bays, L
b
= 10 ft,
S
c
/S
b
= 4)
The horizontal movements of the end column at the free end of the frames are
shown in Fig. 9.52 and 9.53, corresponding to the results obtained at the end of
the initial backfill stage and the last expansion cycle.
The end columns of the single, 3 and 6-bay frames are shown to undergo little
change during the expansion cycle, while the end column of the 15-bay frame, in
contrast, is shown to undergo additional horizontal movements during the
expansion cycle equal to more than twice their counterparts found at the initial
backfill cycle. The end column of the 20-bay frame is also shown to undergo
substantial change in horizontal movements during the expansion cycle attaining
nearly 3 times the movements developed during the initial backfill stage.
Furthermore, the laterally deflected shapes of the end column of the 10, 15 and 20-
bay frames are found to be nearly identical at the end of the last expansion cycle.
