Civil Engineering Reference
In-Depth Information
40
35
30
U
hen1
U
hen3
U
hen6
U
hen10
U
hen15
U
hen20
25
20
L
b
= 10 ft
φ
15
= 30
o
10
S
c
/S
b
= 1
5
0
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Horizontal End Column Movement, U
h
, ft
Fig. B.43
End Column Movements at Expansion Cycle (
φ
= 30º, All Bays, L
b
= 10 ft,
S
c
/S
b
= 1)
The bending moment diagrams developed in the end column of the RFERS at
the initial backfill stage and the last expansion cycle are shown in Fig. B.44 and
B.45, respectively.
Similar to its horizontal movements, the bending moment magnitudes of the
end column of the single and 3-bay frames are found to be nearly identical at the
both the initial backfill stage and the last expansion cycle. The magnitude of the
maximum bending moment in the end column of the 15 and 20-bay frames, on the
other hand, are found to increase substantially due to the thermal expansion.
The bending moment at the first level of the end column of the 20-bay frame,
for instance, is found to double at the end of the last expansion cycle compared to
its counterpart found at the initial backfill stage.
40
M
bn1
M
bn3
M
bn6
M
bn10
M
bn15
M
bn20
35
30
25
20
L
b
= 10 ft
φ
15
= 30
o
10
S
c
/S
b
= 1
5
0
-80
-60
-40
-20
0
20
40
60
80
End Column Moment, M, kips-ft
Fig. B.44
End Column Moment at Backfill Cycle (φ = 30º, All Bays, L
b
= 10 ft, S
c
/S
b
= 1)
