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Li Yuanming et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 3), April 2014, pp.24-30
www.ijera.com 24 | P a g e
Earthquake Performance Analysis of Steel Truss-Concrete
Continuous Rigid Frame Bridge
Li Yuanming1,Zhou Zhixiang1
(1School of civil engineering and architecture ,Chongqing Jiaotong University,Chongqing 400074,China.)
Abstract
The steel truss-concrete Combination continuous rigid frame bridge is that we use steel truss for Principal stress
structure.The seismic performance of a steel truss-concrete Combination continuous rigid frame bridge was
studied in this paper. A dynamic spatial finite element model of Qingqiyong Bridge, which is a long span
bridge, was created using MIDAS. Its natural frequency and vibration mode can be calculated,the seismic
performance and structure stiffness were discussed and analyzed on the basis of calculated results. Design
response spectrum and time-history method are used to calculate this bridge, seismic performance is discussed
in this paper . Results show that natural frequency of the bridge is small, its period is long, and this kind of
bridge is a new kind of earthquake resistant and energy-saving structure. Seismic effect has some effect on the
bridge, especially the bending moment Along the bridge. The results of this paper can also provide some
references for the design, construction, health monitoring and maintenance of bridges of like.
Keywords: Qingqiyong Bridge; natural frequency; seismic analysis;earthquake;vibration mode
I. Introduction
The quailty of usual prestressed concrete
continuous rigid frame bridge is influenced by a lot
of factor, its virtual condition is different from its
design point more or less. The main disease of usual
prestressed concrete continuous rigid frame bridge is
all kinds of crack and excessive long-term deflection,
it increases the late maintenance costs and security
risk. in addition, the usual prestressed concrete
continuous rigid frame bridge has a large dead load,
the span of the kind of bridge is limited.it is used
under the span of 200 meters.
Steel has a A smaller weight than concrete,
steel truss is used for Principal stress structure.When
the earthquake comes, the structure is soft and has a
good ability to absorb energy, this kind of bridge can
make the sseismic performance of continuous rigid
frame bridge better.
Under the long-term stress or load.steel truss
is the main frame, excessive long-term deflection will
not come, therefore a lot of problem of usual
continuous rigid frame bridge disappeared. In the
Analysis of seismic performance, design response
spectrum and time-history method are all inseparable
from dynamic characteristics. The dynamic analysis
is very important for bridge design and Detection, it
is Also related to aseismic design of this bridge,
results of this paper can also provide some references
for the design, construction, health monitoring and
maintenance of bridges of like.A dynamic spatial
finite element model was created using MIDAS to
calculate the seismic behavior of the bridge.
II. Bridge Description
Qingqiyong Bridge, as a part of Jitan
highway, is a s steel truss-concrete Combination
continuous rigid frame bridgewith
three-span(41+70+41 m), which locates at the
RESEARCH ARTICLE
OPEN ACCESS
et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp.
www.ijera.com 25 | P a g e
junction of Guangdong Province and Guangxi
Province, through Xiaoyue Mountain in the
northwest of Guangxi Province.According to the
characteristic of topographic map, steel
truss-concrete Combination strcuture is adopted in
this bridge, and the whole width and the net width of
the bridge are 33m and 30m respectively. The bridge
is designed
Fig.1 general arrangement diagram of Qingqiyong Bridge
according to the norms of two-way eight-lane
highway with a speed of 80km/h and the design load
is highway×1.2.
Upper structure of bridge is the combination
of steel truss and precast concrete bridge deck.upper
chord of steel truss is connected to precast concrete
bridge deck by shear connector.the steel truss is
variable height. The height of steel truss at pierIs 6
meters, when The height of steel truss at midspan is 2
meters, intersegmental distance includes 4 meters and
3.5 meters.
Precast concrete bridge deck is divided into
chip with the length of 5 meters each.the cross
section of is upper chord of steel truss 0.4m×0.4m.
the thickness of steel plate is 0.8~1m. The H section
of lower chord has a height of 0.5m and a width of
0.4m. the thickness of flange steel plate includes
0.03m and 0.014m. The thickness of Beam web is
0.014m. The lower chord of pier use a cross section,
the size is 0.6mx0.5m.
III. Establishment of Finite-Element
Model Description
Linear elastic beam element is used to
establish the three-dimensional space FEM of
Qingqiyong Bridge. the material consists of steel and
concrete,the elasticity modulus of which are 206GPa
and 30GPa, the density is 2500kg/m3
And
7680kg/m3
,Poisson's ratio is 0.3 and 0.167. MIDAS
is used to do the calculation of Qingqiyong Bridge.
There are 3632 nodes and 2964 elements all The
bridgeIn practical structure, bridge pier and steel
truss is Incomplete consolidation. There is some
sliding displacement between bridge pier and steel
truss. Web member adopt hinge joint when it is
connected to the upper chord and down chord , and
the node of chords use rigid connection
Li Yuanming et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 3), April 2014, pp.24-30
www.ijera.com 26 | P a g e
Fig.2 Finite element model of Qingqiyong Bridge
IV. The seismic wave input
According to the division of The ground
motion parameter zoning map of China and Seismic
intensity zoning map of Guangdong province,
acceleration amplitude for this area is 0.15g. The soil
type of engineering site is Soft ground soil.
Categories of north of construction sites is type 3 ,
and Categories of south of construction sites is type
2 , seismic peak acceleration with probability of 3%
in 50 years is 310.1 gal. Design response spectrum
and time-history method are used for computing and
analysis. We use three time-history sample curve
with damping ratio of 0.05(see figure).
Fig.3 Design response spectrum with probability 3% in 50 years
Fig.4 Time history curve 1 with probability in 50 years
et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp.
www.ijera.com 27 | P a g e
Fig.5 Time history curve 2 with probability in 50 years
Fig.6 Time history curve 3 with probability in 50 years
V. FEM results and results analysis
The method of Rits in MIDAS is used to
calculate the Dynamic Characteristics and vibration
mode. Generally, participation factor of structure
mass is concentrated in the first few vibration modes
when doing dynamic analysis. For simple structures,
firs three order modes are selected as the controlling
vibration modes, for large and complex structures,
more vibration modes should be selected as the
controlling vibration modes. The structure of
Qingqiyong Bridge is special, structural stiffness is
uneven,the stiffness of precast concrete bridge deck
is much larger than that of steel truss, therefore , steel
truss-concrete Combination continuous rigid frame
bridge belongs to complex construction.
We calculate its vibration modes, besides, first 10
orders of vibration modes and natural frequencies are
selected as controlling parameters of dynamic
calculation.
The FEM calculation results are listed in table 1.
Table 1 Parameters of dynamic characteristics
vibration
mode
Natural
frequency
cycle
Vibration mode description
1
0.757314 1.320456
deck translationally
2 1.720753
0.581141
deck vertically and symmetrically bended
3 2.313862 0.432178 Deck Transverse and symmetrically
bended
4 2.626315 0.380762 Deck vertically but dissymmetrically bended
et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp.
www.ijera.com 28 | P a g e
5 2.86806 0.348668 Deck vertically and in the same direction
6 3.687568 0.271181 deck vertically and symmetrically bended
7 3.73007 0.268092 deck vertically and symmetrically bended
8 3.856731 0.259287 Deck vertically but dissymmetrically bended
9 4.522822 0.221101 Deck vertically but dissymmetrically bended
10 5.898905 0.169523 deck vertically and symmetrically bended
Fig 7 first order vibration mode
Fig8 second order vibration mode
et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp.
www.ijera.com 29 | P a g e
Fig9 third order vibration mode
Fig10 forth order vibration mode
VI. Seismic response analysis
Based on the FEM model forward,we use
design response spectrum and time-history method to
calculate this bridge. The goal is to explore Seismic
response characteristics of steel truss-concrete
Combination continuous rigid frame bridge, and
analyze the influence of earthquake to performance
of bridge. For steel truss-concrete Combination
continuous rigid frame bridge, the vibration response
of bottom of pier , midspan, and the main girder is
key reaction. Highway bridge seismic design code of
China takes earthquake dynamic earth pressure and
earthquake dynamic water pressure into account.
Table 2 the comparison of control sectionunder dead load and earthquake(KN)
control
section
Dead load
(My)
Dead load
(MZ)
Earthquake
(My)
Earthquake
(Mz)
midspan 17404 4.7 6234 2142
Main girder 624 46 1867 4361
Bottom of
pier
20431 82 8647 3427
VII. Summary and Conclusions
The earthquake characteristics of
Qingqiyong Bridge can be concluded as follows:
(1)NO.1 of vibration mode is translational
motion along the bridge,NO.2 of the mode is deck
vertically and symmetrically bended. NO.3 of the
et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp.
www.ijera.com 30 | P a g e
mode is transverse deck.NO.4 of the mode is deck
vertically and dissymmetrically bended
(2)The first vibration mode is translational motion
along the bridge,the mode makes the all structure
move along the bridge, the stiffness of pier is
relatively smaller, it is because the precast concrete
bridge deck is much heavier than steel truss, the
stiffness of upper part is bigger than the stiffness of
lower part .
(3)The third mode is transverse Deck,it is torsion
vibration,the all structure get a Transverse move , pay
attention to Mz when calculate seismic performance
Higher mode has some influence on Internal force of
steel truss-concrete Combination continuous rigid
frame bridge, especially on shearing force of main
tower We must calculate enough Modal order using
design response spectrum, or else the Seismic
response of structure will be underestimated.
Earthquake has high proportion Contribution of main
girder, especially My , it comes to 35% of dead load,
We must pay attention to it when we have a design.
(6)The natural frequencies of Qingqiyong bridge are
mainly concentrated in the scope that arranges from
0.H7z~5Hz. In the first 10 order vibrations, when
subjects to load, first few order vibrations may be
stimulated simultaneously, therefore, when mode
superposition method is adopted to calculate the
bridge dynamic response, multiple vibration modes
should be considered simultaneously.
VIII. Acknowledgments
The authors appreciate the financial support
from the Research Program of Science and
Technology of The Ministry of Communications of
the PRC.
References
[1] General Code for Design of Highway
Bridges and Culverts. (2004). Beijing:
Ministry of communications of the People’s
Republic of China.
[2] Cui W L, Liu J, Vehicles Analysis of
Wanzhou Yangze Bridge. [J] . Journal of
HUST,2004,(3)1-4.
[3] Wang Y, Li T, Dong R G, Property Analysis
of steel truss-concrete Combination structure.
[J] . Journal of Architecture Technology,
2013, 33(4)216-218.
[4] Fan L C, Anti-seismic Design of Bridge
[M].Shanghai:Tongji University Press,
1997.
[5] Mabsout, M. E., Tarhini, K., Frederick, G. R.,
& Tayar, C. (1997). Finite-element analysis
of steel girder highway bridges. Bridge Eng.,
2(3), 83-87.
http://dx.doi.org/10.1061/(ASCE)1084-0702
(1997)2:3(83)
[6] Dai H J, Liu L, Zhao L T , Bai G L, Seismic
Performance Analysis of Holder Structure
[J],Journal of World Earthquake
Engineering,2012, 28(3);108-113.
[7] Liu J S, Qiu T, He M W, Experimental Study
of Large Span Steel Truss [J] .Journal of
World Earthquake Engineering,2006,22
(4)145-149.

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  • 1. Li Yuanming et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 3), April 2014, pp.24-30 www.ijera.com 24 | P a g e Earthquake Performance Analysis of Steel Truss-Concrete Continuous Rigid Frame Bridge Li Yuanming1,Zhou Zhixiang1 (1School of civil engineering and architecture ,Chongqing Jiaotong University,Chongqing 400074,China.) Abstract The steel truss-concrete Combination continuous rigid frame bridge is that we use steel truss for Principal stress structure.The seismic performance of a steel truss-concrete Combination continuous rigid frame bridge was studied in this paper. A dynamic spatial finite element model of Qingqiyong Bridge, which is a long span bridge, was created using MIDAS. Its natural frequency and vibration mode can be calculated,the seismic performance and structure stiffness were discussed and analyzed on the basis of calculated results. Design response spectrum and time-history method are used to calculate this bridge, seismic performance is discussed in this paper . Results show that natural frequency of the bridge is small, its period is long, and this kind of bridge is a new kind of earthquake resistant and energy-saving structure. Seismic effect has some effect on the bridge, especially the bending moment Along the bridge. The results of this paper can also provide some references for the design, construction, health monitoring and maintenance of bridges of like. Keywords: Qingqiyong Bridge; natural frequency; seismic analysis;earthquake;vibration mode I. Introduction The quailty of usual prestressed concrete continuous rigid frame bridge is influenced by a lot of factor, its virtual condition is different from its design point more or less. The main disease of usual prestressed concrete continuous rigid frame bridge is all kinds of crack and excessive long-term deflection, it increases the late maintenance costs and security risk. in addition, the usual prestressed concrete continuous rigid frame bridge has a large dead load, the span of the kind of bridge is limited.it is used under the span of 200 meters. Steel has a A smaller weight than concrete, steel truss is used for Principal stress structure.When the earthquake comes, the structure is soft and has a good ability to absorb energy, this kind of bridge can make the sseismic performance of continuous rigid frame bridge better. Under the long-term stress or load.steel truss is the main frame, excessive long-term deflection will not come, therefore a lot of problem of usual continuous rigid frame bridge disappeared. In the Analysis of seismic performance, design response spectrum and time-history method are all inseparable from dynamic characteristics. The dynamic analysis is very important for bridge design and Detection, it is Also related to aseismic design of this bridge, results of this paper can also provide some references for the design, construction, health monitoring and maintenance of bridges of like.A dynamic spatial finite element model was created using MIDAS to calculate the seismic behavior of the bridge. II. Bridge Description Qingqiyong Bridge, as a part of Jitan highway, is a s steel truss-concrete Combination continuous rigid frame bridgewith three-span(41+70+41 m), which locates at the RESEARCH ARTICLE OPEN ACCESS
  • 2. et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp. www.ijera.com 25 | P a g e junction of Guangdong Province and Guangxi Province, through Xiaoyue Mountain in the northwest of Guangxi Province.According to the characteristic of topographic map, steel truss-concrete Combination strcuture is adopted in this bridge, and the whole width and the net width of the bridge are 33m and 30m respectively. The bridge is designed Fig.1 general arrangement diagram of Qingqiyong Bridge according to the norms of two-way eight-lane highway with a speed of 80km/h and the design load is highway×1.2. Upper structure of bridge is the combination of steel truss and precast concrete bridge deck.upper chord of steel truss is connected to precast concrete bridge deck by shear connector.the steel truss is variable height. The height of steel truss at pierIs 6 meters, when The height of steel truss at midspan is 2 meters, intersegmental distance includes 4 meters and 3.5 meters. Precast concrete bridge deck is divided into chip with the length of 5 meters each.the cross section of is upper chord of steel truss 0.4m×0.4m. the thickness of steel plate is 0.8~1m. The H section of lower chord has a height of 0.5m and a width of 0.4m. the thickness of flange steel plate includes 0.03m and 0.014m. The thickness of Beam web is 0.014m. The lower chord of pier use a cross section, the size is 0.6mx0.5m. III. Establishment of Finite-Element Model Description Linear elastic beam element is used to establish the three-dimensional space FEM of Qingqiyong Bridge. the material consists of steel and concrete,the elasticity modulus of which are 206GPa and 30GPa, the density is 2500kg/m3 And 7680kg/m3 ,Poisson's ratio is 0.3 and 0.167. MIDAS is used to do the calculation of Qingqiyong Bridge. There are 3632 nodes and 2964 elements all The bridgeIn practical structure, bridge pier and steel truss is Incomplete consolidation. There is some sliding displacement between bridge pier and steel truss. Web member adopt hinge joint when it is connected to the upper chord and down chord , and the node of chords use rigid connection
  • 3. Li Yuanming et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 3), April 2014, pp.24-30 www.ijera.com 26 | P a g e Fig.2 Finite element model of Qingqiyong Bridge IV. The seismic wave input According to the division of The ground motion parameter zoning map of China and Seismic intensity zoning map of Guangdong province, acceleration amplitude for this area is 0.15g. The soil type of engineering site is Soft ground soil. Categories of north of construction sites is type 3 , and Categories of south of construction sites is type 2 , seismic peak acceleration with probability of 3% in 50 years is 310.1 gal. Design response spectrum and time-history method are used for computing and analysis. We use three time-history sample curve with damping ratio of 0.05(see figure). Fig.3 Design response spectrum with probability 3% in 50 years Fig.4 Time history curve 1 with probability in 50 years
  • 4. et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp. www.ijera.com 27 | P a g e Fig.5 Time history curve 2 with probability in 50 years Fig.6 Time history curve 3 with probability in 50 years V. FEM results and results analysis The method of Rits in MIDAS is used to calculate the Dynamic Characteristics and vibration mode. Generally, participation factor of structure mass is concentrated in the first few vibration modes when doing dynamic analysis. For simple structures, firs three order modes are selected as the controlling vibration modes, for large and complex structures, more vibration modes should be selected as the controlling vibration modes. The structure of Qingqiyong Bridge is special, structural stiffness is uneven,the stiffness of precast concrete bridge deck is much larger than that of steel truss, therefore , steel truss-concrete Combination continuous rigid frame bridge belongs to complex construction. We calculate its vibration modes, besides, first 10 orders of vibration modes and natural frequencies are selected as controlling parameters of dynamic calculation. The FEM calculation results are listed in table 1. Table 1 Parameters of dynamic characteristics vibration mode Natural frequency cycle Vibration mode description 1 0.757314 1.320456 deck translationally 2 1.720753 0.581141 deck vertically and symmetrically bended 3 2.313862 0.432178 Deck Transverse and symmetrically bended 4 2.626315 0.380762 Deck vertically but dissymmetrically bended
  • 5. et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp. www.ijera.com 28 | P a g e 5 2.86806 0.348668 Deck vertically and in the same direction 6 3.687568 0.271181 deck vertically and symmetrically bended 7 3.73007 0.268092 deck vertically and symmetrically bended 8 3.856731 0.259287 Deck vertically but dissymmetrically bended 9 4.522822 0.221101 Deck vertically but dissymmetrically bended 10 5.898905 0.169523 deck vertically and symmetrically bended Fig 7 first order vibration mode Fig8 second order vibration mode
  • 6. et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp. www.ijera.com 29 | P a g e Fig9 third order vibration mode Fig10 forth order vibration mode VI. Seismic response analysis Based on the FEM model forward,we use design response spectrum and time-history method to calculate this bridge. The goal is to explore Seismic response characteristics of steel truss-concrete Combination continuous rigid frame bridge, and analyze the influence of earthquake to performance of bridge. For steel truss-concrete Combination continuous rigid frame bridge, the vibration response of bottom of pier , midspan, and the main girder is key reaction. Highway bridge seismic design code of China takes earthquake dynamic earth pressure and earthquake dynamic water pressure into account. Table 2 the comparison of control sectionunder dead load and earthquake(KN) control section Dead load (My) Dead load (MZ) Earthquake (My) Earthquake (Mz) midspan 17404 4.7 6234 2142 Main girder 624 46 1867 4361 Bottom of pier 20431 82 8647 3427 VII. Summary and Conclusions The earthquake characteristics of Qingqiyong Bridge can be concluded as follows: (1)NO.1 of vibration mode is translational motion along the bridge,NO.2 of the mode is deck vertically and symmetrically bended. NO.3 of the
  • 7. et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 4( Version 1), April 2014, pp. www.ijera.com 30 | P a g e mode is transverse deck.NO.4 of the mode is deck vertically and dissymmetrically bended (2)The first vibration mode is translational motion along the bridge,the mode makes the all structure move along the bridge, the stiffness of pier is relatively smaller, it is because the precast concrete bridge deck is much heavier than steel truss, the stiffness of upper part is bigger than the stiffness of lower part . (3)The third mode is transverse Deck,it is torsion vibration,the all structure get a Transverse move , pay attention to Mz when calculate seismic performance Higher mode has some influence on Internal force of steel truss-concrete Combination continuous rigid frame bridge, especially on shearing force of main tower We must calculate enough Modal order using design response spectrum, or else the Seismic response of structure will be underestimated. Earthquake has high proportion Contribution of main girder, especially My , it comes to 35% of dead load, We must pay attention to it when we have a design. (6)The natural frequencies of Qingqiyong bridge are mainly concentrated in the scope that arranges from 0.H7z~5Hz. In the first 10 order vibrations, when subjects to load, first few order vibrations may be stimulated simultaneously, therefore, when mode superposition method is adopted to calculate the bridge dynamic response, multiple vibration modes should be considered simultaneously. VIII. Acknowledgments The authors appreciate the financial support from the Research Program of Science and Technology of The Ministry of Communications of the PRC. References [1] General Code for Design of Highway Bridges and Culverts. (2004). Beijing: Ministry of communications of the People’s Republic of China. [2] Cui W L, Liu J, Vehicles Analysis of Wanzhou Yangze Bridge. [J] . Journal of HUST,2004,(3)1-4. [3] Wang Y, Li T, Dong R G, Property Analysis of steel truss-concrete Combination structure. [J] . Journal of Architecture Technology, 2013, 33(4)216-218. [4] Fan L C, Anti-seismic Design of Bridge [M].Shanghai:Tongji University Press, 1997. [5] Mabsout, M. E., Tarhini, K., Frederick, G. R., & Tayar, C. (1997). Finite-element analysis of steel girder highway bridges. Bridge Eng., 2(3), 83-87. http://dx.doi.org/10.1061/(ASCE)1084-0702 (1997)2:3(83) [6] Dai H J, Liu L, Zhao L T , Bai G L, Seismic Performance Analysis of Holder Structure [J],Journal of World Earthquake Engineering,2012, 28(3);108-113. [7] Liu J S, Qiu T, He M W, Experimental Study of Large Span Steel Truss [J] .Journal of World Earthquake Engineering,2006,22 (4)145-149.