The Ingenieur Vol 59 July-Sept 2014 The Ingenieur Vo. 59, July-Sept 2014 | Page 34
INGENIEUR
Response Spectrum Analysis
The response spectrum loading was imposed
on two different directions (transverse and
longitudinal). The internal moment shows obvious
effects and will be taken as an indicator to be
looked into in this study. Tables 4 and 5 show
the maximum moment of a bridge pier due to
self weight and earthquake response spectrum
in transverse and longitudinal directions for three
types of models (fix-based, rubber bearing pad and
seismic isolator bearing model). In general, the
usage of rubber bearing pad and seismic isolator
bearing increases the overall performance of the
bridge.
Table 4: Maximum Moment (M3) at Pier
(Earthquake in Transverse Direction)
Pier No
Pier 1
Pier 2
Pier 3
Pier 4
Response
Spectra
Return
Period
(Years)
Moment (kNm)
TR=500
TR=2500
TR=500
TR=2500
TR=500
TR=2500
TR=500
TR=2500
459
882
1530
2900
1497
2835
1912
3744
Fix-based
Model
Rubber
Bearing
Pad
Model
339
486
1165
1953
1142
1909
1329
2557
Seismic
Isolator
Model
380
831
1269
1532
1260
1517
588
978
Table 5: Maximum Moment (M2) at Pier
(Earthquake in Longitudinal Direction)
Pier
No
Pier 1
Pier 2
Pier 3
Pier 4
6
32
ingenieur 2014-July-FA.indd 32
Response
Spectra
Return
Period
(Years)
TR=500
TR=2500
TR=500
TR=2500
TR=500
TR=2500
TR=500
TR=2500
Bridges with seismic isolator models have a
reduction in moment up to 60% compared with a
bridge with normal rubber baring pads. However, at
Pier 1 the moment was observed to be different
with a slight increment but it is expected this will
become lower if the effect of approached bridge is
taken into account.
Time History Analysis
The performance levels of a bridge due to
earthquake time history refer directly to FEMA
356 and are described as Immediate Occupancy
(IO), Life Safety (LS) and Collapse Prevention (CP)
level. Meanwhile, B level is a transition from safe
level to damage level. The nonlinear behaviour of
reinforced concrete piers is modelled using the
fibre beam theory. The result clearly shows that
serious damage levels will not occur on the Second
Penang Bridge due to expected ground earthquakes
time histories for Penang Island under long distant
great Sumatera and subduction zone fault. The
actual time history at bedrock for Penang in 500TR
and 2500TR are shown in Figure 7.
Figure 7a
Moment (kNm)
Fix-based
Model
Rubber
Bearing Pad
Model
Seismic
Isolator
Model
873
478
7127
9843
7125
9841
1944
2456
297
495
1257
2423
1190
2286
2243
3220
966
1210
584
992
558
946
1724
2003
Figure 7b
Figure 7: The Time History (TH) of Penang due to
Sumatera Earthquake at bedrock for (a) 500TR
and (b) 2500TR
VOL 59 JULY –2013
VOL 55 JUNE SEPTEMBER 2014
7/9/14 10:37 AM