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Failure of Chauras bridge
Harshad Subhashrao Birajdar, Pabitra Ranjan Maiti, Pramod Kumar Singh ⇑
Department of Civil Engineering, IIT (BHU), Varanasi, UP 221005, India
a r t i c l e i n f o
Article history:
Received 1 March 2014
Received in revised form 9 June 2014
Accepted 25 June 2014
Available online 12 July 2014
Keywords:
Composite bridges
Buckling
Endurance
Limit states
Load factor
a b s t r a c t
Sudden collapse of 190 m long Chauras bridge in Uttarakhand, India, which was a three
span (40 m + 110 m + 40 m) continuous deck type truss bridge, took place during casting
of the deck slab after successful launching of the truss. The incidence occurred when
52.5 m length of the deck slab was cast starting from middle of the 110 m span towards
the right pier. Whereas, collapse of I-35W bridge took place due to failure of one of its gus-
set plates, analysis results show that Chauras bridge collapsed due to buckling of its
U13U14 top chord compression members when 173.8 N/mm2
stress in the member
occurred against calculated permissible compressive stress of 149.8 N/mm2
. Sudden
collapse of the bridge claiming six lives with it, due to slight increase in stress beyond
the permissible compressive stress indicates that steel girder bridges must also be checked
for reserve strength at the limit state of strength. As per Indian and European Standards, in
addition to 1.1 material safety factor and 1.5 load factor used for compression and tension
members in limit state of serviceability for fatigue design, additional load factor of 1.5, both
for dead and live loads, for laterally unsupported compression members should be used for
checking the design at the limit state of strength. No such additional load factor for tension
members and joints is required.
Ó 2014 Elsevier Ltd. All rights reserved.
1. Introduction
In the past a number bridges have failed during various stages of construction or service. The failures have been partial, or
total collapses have taken place. In case of truss bridges, failure of gusset plates connecting members of truss, and buckling
failure of compression members are the most happening failures [1].
In 1892 the Semi-parabolic truss arch bridge near Ljubicˇevo over river Morava in Serbia, failed during load testing. The
cause of failure was buckling of compression chord due to defective connection of two part compression members [1].
Lessons from these failures may be treated as learning experiences, because when a bridge collapses it has certainly been
pushed to the limit in some way. Therefore, structural collapses in general, and particularly bridge collapses, which are often
most spectacular, have a significant effect on the development of the knowledge of structural action and material behavior
and have spurred research into particular fields [2].
Failures may happen in service, but probably more often during construction. Physical causes are various such as erosion,
reversal of stress, impact, vibrations, wind, and extreme events [1]. Failure during construction is due to unexpected
increased load on the bridge which many times might be beyond the scope of structural designer’s knowledge.
http://dx.doi.org/10.1016/j.engfailanal.2014.06.015
1350-6307/Ó 2014 Elsevier Ltd. All rights reserved.
⇑ Corresponding author.
E-mail addresses: h_birajdar@yahoo.co.in (H.S. Birajdar), prmaiti.civ@itbhu.ac.in (P.R. Maiti), prof_pks@yahoo.co.in (P.K. Singh).
Engineering Failure Analysis 45 (2014) 339–346
Contents lists available at ScienceDirect
Engineering Failure Analysis
journal homepage: www.elsevier.com/locate/engfailanal
Bridge collapse or collapse of any structure is either progressive or sudden. In progressive collapse one can judge probable
failure of structure by inspection of various critical parts of the structure and can take preventive measures to fix the prob-
lems in the structure. But sudden collapse takes place without any warning and the collapse may occur within few seconds
taking many lives and property loss with it.
1.1. Failure of I-35W bridge
One such notable example of sudden collapse is collapse of I-35W bridge [4] over the Mississippi River in Minneapolis,
Minnesota on August 1, 2007 resulting in deaths of 13 people and injury to more than 100 others.
The superstructure of the bridge consisted of two main longitudinal trusses continuous over three spans of 81 m, 139 m
and 81 m. The two longitudinal trusses were connected to each other with transverse trusses at each panel point. There were
eight lanes of traffic on the bridge [2].
All joints of the bridge were connected by 1 inch thick gusset plates, except top chord joint U10, where half inch thick
gusset plates were used (Fig. 1) [4]. Investigation and Finite Element analysis by many researchers concluded that, the
undersized gusset plate at joint U10 was the cause of catastrophic and sudden failure.
2. Failure of Chauras bridge
Failure of 190 m long Chauras Bridge in Uttarakhand, India, which was a three span (40 m + 110 m + 40 m) continuous
deck type truss bridge, took place during casting of the deck slab (Fig. 2). The bridge was proposed to connect two cities
namely, Srinagar on left bank and Chauras on right bank of the river Alakhnanda. After launching of the steel truss on
two piers and two abutments, casting of deck slab was initiated on 24.03.2012 at 11.00 AM from mid portion of the
110 m span of the bridge towards right pier. During deck slab concreting, when concrete was placed in 52.5 m length from
middle of the 110 m span towards right pier, bridge suddenly collapsed calming six lives with it (Fig. 2).
Fig. 1. Failure of gusset plate at U10.
Fig. 2. Failure of Chauras bridge during casting of deck slab.
340 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346
3. Analysis of Chauras bridge at failure
3.1. Details of Chauras bridge
The 190 m span bridge was designed for 2-lanes, 7.5 m wide carriageway and 1.5 m wide footpaths on either side. It was a
Lattice truss girder bridge with subdivided top chord members. Distance between top and bottom chord members was
8.66 m and c/c distance between two trusses was 7.5 m. It was divided into 38 panels of 5.0 m length each. The bridge con-
sisted of one central span of 110 m and two end spans of 40 m. Top and bottom chords of the bridge consisted of built up box
sections, 500 mm wide and 600 mm deep, comprising four angles at four corners, and 2 Â 575 mm and 2 Â 390 mm wide
four vertical plates. Diagonal and vertical members of the bridge consisted of channel sections and plates. Fig. 3 shows
arrangement of the bridge.
3.2. Failure analysis
A 3-D analysis of the Chauras bridge truss using STAAD Pro V8i software was carried out under the loadings existing at the
time of collapse. Under self weight of bridge no lifting reaction at abutment supports was there. But when casting of deck
slab was started from mid span, lifting of 40 m end spans started gradually. Hence to analyze the bridge at ultimate stage of
collapse, compression only spring supports are used at abutment locations.
At the time of collapse, the bridge was subjected to following loadings.
Weight of steel truss = 10,000 kN.
Weight of deck slab (52.5 m) = 2166 kN.
Weight of formwork and equipments = 2 kN/m2
(assumed).
Under the above load, member forces are given in Table 1, and axial stress as obtained from the STAAD analysis is shown
in Fig. 4.
From analysis results of STAAD it is found that the compressive stress in member U13U14 at the time of collapse was
173.8 N/mm2
, and maximum force in the upper chord members was 6000.1 kN in member U18U19.
3.3. Permissible stress in U13U14
Cross sectional details of the failed top chord member U13U14 are given in Fig. 5.
Permissible compressive stress due to buckling for the built up section, as per IS: 800-2007, is given by;
rcr ¼ 0:6
fcb  fy
ðfcbÞ
n
þ ðfyÞ
nÀ Á1
n
0
@
1
A ¼ 149:8 N=mm2
-working stress method
Fig. 3. Arrangement of Chauras bridge.
Table 1
Member forces as per STAAD analysis.
Member Cross sectional area (mm2
) Axial force (kN) Member stress (N/mm2
) Permissible stress (N/mm2
)
U13U14 21,596 3754.2 173.8 149.8
U14U15 30,068 4619.7 153.6 149.7
U15U16 36,740 5258.5 143.1 149.7
U16U17 43,640 5707.9 139.7 149.7
U17U18 46,508 5954.1 128.0 149.7
U18U19 51,008 6000.1 117.6 149.7
H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346 341
rcr ¼
fy
cm0
/ þ ½/2
À k2
Š
0:5
¼ 224:7 N=mm2
-with 1:5 load factor
where / ¼ 0:5 1 þ aðk À 0:2Þk2
þ
 Ã
; k ¼
ffiffiffiffi
fy
fcc
q
; f cc ¼ p2E
KL
rð Þ
2
Elastic critical buckling stress for individual 8 mm plates, as per equations 9–7 given by Timoshenko and Gere [8];
rcr ¼ kp2 E
12ð1 À l2Þ
 
t2
b
2
 
¼ 140:0 N=mm2
Buckling stresses for the built up section (149.8 N/mm2
) and individual plates (140.0 N/mm2
) are quite close, and these
are less than the actual stress developed at failure (173.8 N/mm2
). Therefore, it is not clear whether the local buckling at the
double welded plates or buckling of the entire member U13U14 initiated the collapse (Fig. 6). Steel samples collected from
the collapsed bridge were tested in laboratory and were found to be satisfactory.
3.4. Built up sections
Common hot rolled and built-up steel members used for carrying axial compression, usually fail by buckling. Buckling
strength of these members is affected by residual stresses, initial bow and accidental eccentricities of load, for which
depending on their shape, different buckling class of members are defined in the code [10]. Minimum width to thickness
ratio for built up box sections is also limited to 30.
Fig. 4. Stress diagram under loading at the time of collapse.
Fig. 5. Cross section of member U13U14.
342 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346
Welded box section (Fig. 5), when used as a compression member, has limitations from individual component buckling
[10]. In the case of member U13U14 the width to thickness ratio of individual 575 mm wide, 8 mm thick plates was 72,
which was in far excess of the 30 limit.
3.5. Casting sequence of deck slab
Design of the bridge was checked for 2-lanes of Class-A loading and it was found to be marginally safe. Casting of the deck
slab in Chauras bridge started from middle of the 110 m span, which caused lifting of the 40 m end span. The ideal casting
procedure for the deck slab would be to start from the supports and proceed towards mid spans. Proper deck casting pro-
cedure might have saved the bridge during deck casting, but the bridge would have remained vulnerable under live load
conditions.
4. Buckling of compression members
Mild steel or structural steel of grade E250 used in Chauras bridge had ultimate tensile strength (fu) of 410 N/mm2
and
yield strength (fy) of 250 N/mm2
. Permissible tensile stress for mild steel as per Indian standards is 0.6 fy (=150 N/mm2
). For
slenderness ratio less than 10 maximum permissible compressive stress is also 0.6 fy (=150 N/mm2
), which decreases with
increase in the slenderness ratio. Similarly, for E410 grade of steel yield strength is 410 N/mm2
and ultimate tensile strength
is 540 N/mm2
. Permissible tensile stress and maximum permissible compressive stress for this steel is also 0.6 fy (Fig. 7).
Fig. 6. Joints U13, U14 and buckled member U13U14.
Fig. 7. Stress–strain curves of compression or tension member for mild steel of grades E250 and E410.
H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346 343
Tension and compression members of a steel truss have entirely different behavior before failure (Fig. 7). Compression
members suddenly buckle and fail without any reserve strength in them beyond maximum up to yield stress, while tension
members have reserve strength after yielding up to the ultimate tensile strength.
5. Behavior of gusset plates
Maximum compressive force in the member U18U19 of Chauras bridge at collapse stage was 6000.1 kN and correspond-
ing stress in the 12 mm thick gusset plate was 416.75 N/mm2
. But the gusset plate did not fail even at such a high compres-
sive stress, as it was prevented against buckling by the rivets.
Compressive force in member U13U14 was 3754.2 kN and corresponding stress in the gusset plate was 260.7 N/mm2
.
Gusset plates at joints U13 and U14 remained intact at this high stress (Fig. 8), whereas, member U13U14 buckled and failed
at a lower stress of 173.8 N/mm2
.
Thus, gusset plates if connected properly to the members and prevented from buckling can take compressive or tensile
stress up to ultimate strength of the plate.
6. Design for serviceability limit state
Generally steel bridges are designed for 100 years of service life and six million fatigue load cycles.
Fracture endurance limits for E250 (fy = 250 N/mm2
, fu = 410 N/mm2
) and E410 (fy = 410 N/mm2
, fu = 540 N/mm2
) mild
steel are shown in Fig. 10. Endurance limit for yielding is proportionately scaled down from the fracture endurance limit
curve. Therefore, whereas fracture endurance limit for six million cycles is taken as 2
3
fu (=273 N/mm2
), endurance limit
for yielding is 2
3
fy (=167 N/mm2
). Thus, Adapting material safety factor as 1.1, permissible stress in compression or tension
for the limit state of serviceability is adopted as 0.6 fy [9].
In a steel truss, in service condition, maximum permissible member stresses from deformation criterion for E250 and
E410 grade steel shall be limited to their yield stresses (Fig. 9).
6.1. Design of truss members
As evidenced in Chauras bridge case, sudden collapse of the bridge took place due to buckling of top chord compression
members U13U14 without any warning claiming six lives with it, and therefore, design of tension and compression members
of a truss warrant separate design considerations.
6.1.1. Design of tension members
Tension members designed as per ultimate tensile strength will have excessive deformation due to yielding. Therefore,
permissible fatigue stress in service condition of 167 N/mm2
(2
3
fy) for E250, and 271 N/mm2
for E410 may be adopted for
design.
Thus, in the limit state of serviceability condition, adapting 1.1 material safety factor [9,10], tension members should be
designed for permissible stress of 0.6 fy (=0.66 fy/1.1) with a load factor of 1.5.
6.1.2. Design of compression members
Referring to Fig. 7 and adapting 1.1 material safety factor and 1.5 load factor, maximum permissible compressive stress in
the serviceability condition for compression members of grade E250 and E410 may also be adopted as 0.6 fy [9,10].
Fig. 8. Intact gusset plates at joints U13 and U14.
344 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346
7. Design at limit state of strength
Unexpected circumstances may take place during construction and service stages of the bridge. Apart from uncertainty in
the material strength for which material safety factor of 1.1 is generally adopted, the following uncertainties affecting the
safety of the bridge may be there;
a. Uncertainty about loading.
b. Uncertainty about structural dimensions and behavior.
7.1. Uncertainty about dead load
Dead load (DL) on the bridge may increase even after its construction due to time to time repair works. In the case of I-
35W bridge [3,5,6,7,12,13], due to two major deck repairs the dead load of the bridge increased by 30%. Therefore, safe
increased dead load on a bridge during its lifetime may be taken up to 1.5 times its dead load.
7.2. Uncertainty about live load
Bridge loading standards provide for specified gap between two trains of vehicles. In adverse conditions these gaps may
also be occupied by vehicles.
In order to calculate increase in live load (LL) due to full occupancy of the deck, 7.5 m wide carriageway with two lanes of
Class-A train of vehicles [11], having total plan area of 18.8m  5.5 m and nose to tail spacing of 20.0 m is considered. The
remaining 2.0 m width of the deck is considered loaded with 5.0 kN/m2
other live loads (Fig. 10).
Thus, maximum possible live load (without impact) to normal live load (with impact) ratio;
Fig. 9. Endurance limits for E250 and E410 grade steel.
Fig. 10. Arrangement of vehicles for fully loaded deck condition.
H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346 345
¼ 2 Â 554ð1 þ 20:0=18:8Þ þ 5:0 Â 2:0 Â 38:8½ Š= 2 Â 554 Â 1:088ð Þ % 2:2
Vehicle loads keep on increasing as the years pass and consequently the loading standards are revised. Corrosion and
wear and tear of the bridge also require higher load factor.
A load factor of 1.5 and material safety factor of 1.1 are included in the design during service condition. Thus, an
additional load factor of 1.5 (P2.2/1.5) in live load may be reasonable for the limit state of strength condition resulting
in total load factor of 2.25.
7.3. Design of compression members
Compression members buckle and suddenly fail without warning causing loss to life and property, and consequently an
additional load factor of 1.5 may be required at the limit state of strength.
In case lateral buckling of compression members is prevented, as in the case of top chord compression members in com-
posite deck system, no additional load factor may be required.
8. Conclusions
From the presented case study of Chauras bridge, the following main conclusions can be drawn.
1. Analysis results show that the compressive stress in members U13U14 of Chauras bridge at the time of collapse was
173.8 N/mm2
against permissible stress of 149.8 N/mm2
. Therefore, failure took place due to buckling of members
U13U14. Buckling of the member was also facilitated because the compression members comprised pairs of 8 mm thick
plates, in place of 16 mm thick plates.
Therefore, welded built up sections must be carefully dimensioned, so that buckling of individual members may not be
possible. In this connection width to thickness ratio of the constituent plates should be limited to 30.
2. As evidence in Chauraas bridge collapse, compression members buckle and suddenly fail without warning claiming life
and property with it. Also, compression members do not have reserve strength like tension members, which have reserve
strength beyond yield stress up to ultimate strength. Therefore, design of laterally unsupported compression members
should be checked at the limit state of strength for 1.5 times higher load factor for DL + LL case.
No additional load factor at the limit state of strength is required for tension members and gusset plates.
Steel girder bridges are generally designed for limit state of serviceability condition only. Due to fatigue in the members,
maximum permissible stress in service condition is limited to 0.6 fy in tension members, and depending on slenderness ratio
to maximum 0.6 fy in compression members. However, the design must also be checked at the limit state of strength. Due to
buckling and sudden failure of compression members, load factor for checking design at limit state of strength for laterally
unsupported compression members should be taken 1.5 times more to 2.25(DL + LL). For tension members and gusset plates
reserve strength beyond the yield stress exists up to the ultimate strength, and therefore, design load for these shall be
normal 1.5 (DL + LL).
References
[1] Zlatko Šavor, Marta Šavor, Jing Gao, Marin Franetovic´, Failures of arch bridges – causes, lessons learned and prevention, 3rd Chinese – croatian joint
colloquium on sustainable arch bridges (2011).
[2] Abolhassan Astaneh-Asl, Progressive collapse of steel truss bridges, the case of I-35W collapse, in: 7th International conference on steel bridges,
Guimara˘es, Portugal, 4–6 June, 2008.
[3] Roberto Ballarini, Taichiro Okazaki, The infamous gusset plates, the city, the river, the bridge, University of Minnesota Press.
[4] Liao Minmao, Okazaki Taichiro, Ballarini Roberto, Schultz Arturo E, Galambos Theodore V. Nonlinear finite element analysis of critical gusset plates in
the I-35W bridge in Minnesota. J Struct Eng ASCE 2010.
[5] NTSB-Dockets, Press releases, reports, photos and other information on I-35W, the National Transportation Safety Board Docket on the Internet, 2007–
2008.
[6] Astaneh-Asl A. Behavior and design of steel and composite structures, including seismic effects. EPS; 2008.
[7] IS: 800-1984, Indian Standard, Code of Practice for General Construction in Steel (based on working stress method), India, 1984.
[8] Timoshenko Stephen P, Gere James M. Theory of elastic stability. Tata McGraw-Hill; 2010. Edition.
[9] BS EN 1993-1-1:2005, Design of steel structures – Part 1-1: general rules and rules for buildings, Europe, 2005.
[10] IS: 800-2007, Indian Standard, Code of Practice for General Construction in Steel (based on limit state method), India, 2007.
[11] IRC: 6-2010, Standard specifications and code of practice for road bridges, Section II, Loads and Stresses (Fifth revision), India, 2010.
[12] Gerry Johnson, I-35W bridge failure analysis report, 25/11/2007.
[13] Hao S. I-35W bridge collapse. J Bridge Eng ASCE 2010;15(5).
346 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346

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Failure of 190m Chauras Bridge in India Due to Buckling of Top Chord Member

  • 1. Failure of Chauras bridge Harshad Subhashrao Birajdar, Pabitra Ranjan Maiti, Pramod Kumar Singh ⇑ Department of Civil Engineering, IIT (BHU), Varanasi, UP 221005, India a r t i c l e i n f o Article history: Received 1 March 2014 Received in revised form 9 June 2014 Accepted 25 June 2014 Available online 12 July 2014 Keywords: Composite bridges Buckling Endurance Limit states Load factor a b s t r a c t Sudden collapse of 190 m long Chauras bridge in Uttarakhand, India, which was a three span (40 m + 110 m + 40 m) continuous deck type truss bridge, took place during casting of the deck slab after successful launching of the truss. The incidence occurred when 52.5 m length of the deck slab was cast starting from middle of the 110 m span towards the right pier. Whereas, collapse of I-35W bridge took place due to failure of one of its gus- set plates, analysis results show that Chauras bridge collapsed due to buckling of its U13U14 top chord compression members when 173.8 N/mm2 stress in the member occurred against calculated permissible compressive stress of 149.8 N/mm2 . Sudden collapse of the bridge claiming six lives with it, due to slight increase in stress beyond the permissible compressive stress indicates that steel girder bridges must also be checked for reserve strength at the limit state of strength. As per Indian and European Standards, in addition to 1.1 material safety factor and 1.5 load factor used for compression and tension members in limit state of serviceability for fatigue design, additional load factor of 1.5, both for dead and live loads, for laterally unsupported compression members should be used for checking the design at the limit state of strength. No such additional load factor for tension members and joints is required. Ó 2014 Elsevier Ltd. All rights reserved. 1. Introduction In the past a number bridges have failed during various stages of construction or service. The failures have been partial, or total collapses have taken place. In case of truss bridges, failure of gusset plates connecting members of truss, and buckling failure of compression members are the most happening failures [1]. In 1892 the Semi-parabolic truss arch bridge near Ljubicˇevo over river Morava in Serbia, failed during load testing. The cause of failure was buckling of compression chord due to defective connection of two part compression members [1]. Lessons from these failures may be treated as learning experiences, because when a bridge collapses it has certainly been pushed to the limit in some way. Therefore, structural collapses in general, and particularly bridge collapses, which are often most spectacular, have a significant effect on the development of the knowledge of structural action and material behavior and have spurred research into particular fields [2]. Failures may happen in service, but probably more often during construction. Physical causes are various such as erosion, reversal of stress, impact, vibrations, wind, and extreme events [1]. Failure during construction is due to unexpected increased load on the bridge which many times might be beyond the scope of structural designer’s knowledge. http://dx.doi.org/10.1016/j.engfailanal.2014.06.015 1350-6307/Ó 2014 Elsevier Ltd. All rights reserved. ⇑ Corresponding author. E-mail addresses: h_birajdar@yahoo.co.in (H.S. Birajdar), prmaiti.civ@itbhu.ac.in (P.R. Maiti), prof_pks@yahoo.co.in (P.K. Singh). Engineering Failure Analysis 45 (2014) 339–346 Contents lists available at ScienceDirect Engineering Failure Analysis journal homepage: www.elsevier.com/locate/engfailanal
  • 2. Bridge collapse or collapse of any structure is either progressive or sudden. In progressive collapse one can judge probable failure of structure by inspection of various critical parts of the structure and can take preventive measures to fix the prob- lems in the structure. But sudden collapse takes place without any warning and the collapse may occur within few seconds taking many lives and property loss with it. 1.1. Failure of I-35W bridge One such notable example of sudden collapse is collapse of I-35W bridge [4] over the Mississippi River in Minneapolis, Minnesota on August 1, 2007 resulting in deaths of 13 people and injury to more than 100 others. The superstructure of the bridge consisted of two main longitudinal trusses continuous over three spans of 81 m, 139 m and 81 m. The two longitudinal trusses were connected to each other with transverse trusses at each panel point. There were eight lanes of traffic on the bridge [2]. All joints of the bridge were connected by 1 inch thick gusset plates, except top chord joint U10, where half inch thick gusset plates were used (Fig. 1) [4]. Investigation and Finite Element analysis by many researchers concluded that, the undersized gusset plate at joint U10 was the cause of catastrophic and sudden failure. 2. Failure of Chauras bridge Failure of 190 m long Chauras Bridge in Uttarakhand, India, which was a three span (40 m + 110 m + 40 m) continuous deck type truss bridge, took place during casting of the deck slab (Fig. 2). The bridge was proposed to connect two cities namely, Srinagar on left bank and Chauras on right bank of the river Alakhnanda. After launching of the steel truss on two piers and two abutments, casting of deck slab was initiated on 24.03.2012 at 11.00 AM from mid portion of the 110 m span of the bridge towards right pier. During deck slab concreting, when concrete was placed in 52.5 m length from middle of the 110 m span towards right pier, bridge suddenly collapsed calming six lives with it (Fig. 2). Fig. 1. Failure of gusset plate at U10. Fig. 2. Failure of Chauras bridge during casting of deck slab. 340 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346
  • 3. 3. Analysis of Chauras bridge at failure 3.1. Details of Chauras bridge The 190 m span bridge was designed for 2-lanes, 7.5 m wide carriageway and 1.5 m wide footpaths on either side. It was a Lattice truss girder bridge with subdivided top chord members. Distance between top and bottom chord members was 8.66 m and c/c distance between two trusses was 7.5 m. It was divided into 38 panels of 5.0 m length each. The bridge con- sisted of one central span of 110 m and two end spans of 40 m. Top and bottom chords of the bridge consisted of built up box sections, 500 mm wide and 600 mm deep, comprising four angles at four corners, and 2  575 mm and 2  390 mm wide four vertical plates. Diagonal and vertical members of the bridge consisted of channel sections and plates. Fig. 3 shows arrangement of the bridge. 3.2. Failure analysis A 3-D analysis of the Chauras bridge truss using STAAD Pro V8i software was carried out under the loadings existing at the time of collapse. Under self weight of bridge no lifting reaction at abutment supports was there. But when casting of deck slab was started from mid span, lifting of 40 m end spans started gradually. Hence to analyze the bridge at ultimate stage of collapse, compression only spring supports are used at abutment locations. At the time of collapse, the bridge was subjected to following loadings. Weight of steel truss = 10,000 kN. Weight of deck slab (52.5 m) = 2166 kN. Weight of formwork and equipments = 2 kN/m2 (assumed). Under the above load, member forces are given in Table 1, and axial stress as obtained from the STAAD analysis is shown in Fig. 4. From analysis results of STAAD it is found that the compressive stress in member U13U14 at the time of collapse was 173.8 N/mm2 , and maximum force in the upper chord members was 6000.1 kN in member U18U19. 3.3. Permissible stress in U13U14 Cross sectional details of the failed top chord member U13U14 are given in Fig. 5. Permissible compressive stress due to buckling for the built up section, as per IS: 800-2007, is given by; rcr ¼ 0:6 fcb  fy ðfcbÞ n þ ðfyÞ nÀ Á1 n 0 @ 1 A ¼ 149:8 N=mm2 -working stress method Fig. 3. Arrangement of Chauras bridge. Table 1 Member forces as per STAAD analysis. Member Cross sectional area (mm2 ) Axial force (kN) Member stress (N/mm2 ) Permissible stress (N/mm2 ) U13U14 21,596 3754.2 173.8 149.8 U14U15 30,068 4619.7 153.6 149.7 U15U16 36,740 5258.5 143.1 149.7 U16U17 43,640 5707.9 139.7 149.7 U17U18 46,508 5954.1 128.0 149.7 U18U19 51,008 6000.1 117.6 149.7 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346 341
  • 4. rcr ¼ fy cm0 / þ ½/2 À k2 Š 0:5 ¼ 224:7 N=mm2 -with 1:5 load factor where / ¼ 0:5 1 þ aðk À 0:2Þk2 þ Â Ã ; k ¼ ffiffiffiffi fy fcc q ; f cc ¼ p2E KL rð Þ 2 Elastic critical buckling stress for individual 8 mm plates, as per equations 9–7 given by Timoshenko and Gere [8]; rcr ¼ kp2 E 12ð1 À l2Þ t2 b 2 ¼ 140:0 N=mm2 Buckling stresses for the built up section (149.8 N/mm2 ) and individual plates (140.0 N/mm2 ) are quite close, and these are less than the actual stress developed at failure (173.8 N/mm2 ). Therefore, it is not clear whether the local buckling at the double welded plates or buckling of the entire member U13U14 initiated the collapse (Fig. 6). Steel samples collected from the collapsed bridge were tested in laboratory and were found to be satisfactory. 3.4. Built up sections Common hot rolled and built-up steel members used for carrying axial compression, usually fail by buckling. Buckling strength of these members is affected by residual stresses, initial bow and accidental eccentricities of load, for which depending on their shape, different buckling class of members are defined in the code [10]. Minimum width to thickness ratio for built up box sections is also limited to 30. Fig. 4. Stress diagram under loading at the time of collapse. Fig. 5. Cross section of member U13U14. 342 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346
  • 5. Welded box section (Fig. 5), when used as a compression member, has limitations from individual component buckling [10]. In the case of member U13U14 the width to thickness ratio of individual 575 mm wide, 8 mm thick plates was 72, which was in far excess of the 30 limit. 3.5. Casting sequence of deck slab Design of the bridge was checked for 2-lanes of Class-A loading and it was found to be marginally safe. Casting of the deck slab in Chauras bridge started from middle of the 110 m span, which caused lifting of the 40 m end span. The ideal casting procedure for the deck slab would be to start from the supports and proceed towards mid spans. Proper deck casting pro- cedure might have saved the bridge during deck casting, but the bridge would have remained vulnerable under live load conditions. 4. Buckling of compression members Mild steel or structural steel of grade E250 used in Chauras bridge had ultimate tensile strength (fu) of 410 N/mm2 and yield strength (fy) of 250 N/mm2 . Permissible tensile stress for mild steel as per Indian standards is 0.6 fy (=150 N/mm2 ). For slenderness ratio less than 10 maximum permissible compressive stress is also 0.6 fy (=150 N/mm2 ), which decreases with increase in the slenderness ratio. Similarly, for E410 grade of steel yield strength is 410 N/mm2 and ultimate tensile strength is 540 N/mm2 . Permissible tensile stress and maximum permissible compressive stress for this steel is also 0.6 fy (Fig. 7). Fig. 6. Joints U13, U14 and buckled member U13U14. Fig. 7. Stress–strain curves of compression or tension member for mild steel of grades E250 and E410. H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346 343
  • 6. Tension and compression members of a steel truss have entirely different behavior before failure (Fig. 7). Compression members suddenly buckle and fail without any reserve strength in them beyond maximum up to yield stress, while tension members have reserve strength after yielding up to the ultimate tensile strength. 5. Behavior of gusset plates Maximum compressive force in the member U18U19 of Chauras bridge at collapse stage was 6000.1 kN and correspond- ing stress in the 12 mm thick gusset plate was 416.75 N/mm2 . But the gusset plate did not fail even at such a high compres- sive stress, as it was prevented against buckling by the rivets. Compressive force in member U13U14 was 3754.2 kN and corresponding stress in the gusset plate was 260.7 N/mm2 . Gusset plates at joints U13 and U14 remained intact at this high stress (Fig. 8), whereas, member U13U14 buckled and failed at a lower stress of 173.8 N/mm2 . Thus, gusset plates if connected properly to the members and prevented from buckling can take compressive or tensile stress up to ultimate strength of the plate. 6. Design for serviceability limit state Generally steel bridges are designed for 100 years of service life and six million fatigue load cycles. Fracture endurance limits for E250 (fy = 250 N/mm2 , fu = 410 N/mm2 ) and E410 (fy = 410 N/mm2 , fu = 540 N/mm2 ) mild steel are shown in Fig. 10. Endurance limit for yielding is proportionately scaled down from the fracture endurance limit curve. Therefore, whereas fracture endurance limit for six million cycles is taken as 2 3 fu (=273 N/mm2 ), endurance limit for yielding is 2 3 fy (=167 N/mm2 ). Thus, Adapting material safety factor as 1.1, permissible stress in compression or tension for the limit state of serviceability is adopted as 0.6 fy [9]. In a steel truss, in service condition, maximum permissible member stresses from deformation criterion for E250 and E410 grade steel shall be limited to their yield stresses (Fig. 9). 6.1. Design of truss members As evidenced in Chauras bridge case, sudden collapse of the bridge took place due to buckling of top chord compression members U13U14 without any warning claiming six lives with it, and therefore, design of tension and compression members of a truss warrant separate design considerations. 6.1.1. Design of tension members Tension members designed as per ultimate tensile strength will have excessive deformation due to yielding. Therefore, permissible fatigue stress in service condition of 167 N/mm2 (2 3 fy) for E250, and 271 N/mm2 for E410 may be adopted for design. Thus, in the limit state of serviceability condition, adapting 1.1 material safety factor [9,10], tension members should be designed for permissible stress of 0.6 fy (=0.66 fy/1.1) with a load factor of 1.5. 6.1.2. Design of compression members Referring to Fig. 7 and adapting 1.1 material safety factor and 1.5 load factor, maximum permissible compressive stress in the serviceability condition for compression members of grade E250 and E410 may also be adopted as 0.6 fy [9,10]. Fig. 8. Intact gusset plates at joints U13 and U14. 344 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346
  • 7. 7. Design at limit state of strength Unexpected circumstances may take place during construction and service stages of the bridge. Apart from uncertainty in the material strength for which material safety factor of 1.1 is generally adopted, the following uncertainties affecting the safety of the bridge may be there; a. Uncertainty about loading. b. Uncertainty about structural dimensions and behavior. 7.1. Uncertainty about dead load Dead load (DL) on the bridge may increase even after its construction due to time to time repair works. In the case of I- 35W bridge [3,5,6,7,12,13], due to two major deck repairs the dead load of the bridge increased by 30%. Therefore, safe increased dead load on a bridge during its lifetime may be taken up to 1.5 times its dead load. 7.2. Uncertainty about live load Bridge loading standards provide for specified gap between two trains of vehicles. In adverse conditions these gaps may also be occupied by vehicles. In order to calculate increase in live load (LL) due to full occupancy of the deck, 7.5 m wide carriageway with two lanes of Class-A train of vehicles [11], having total plan area of 18.8m  5.5 m and nose to tail spacing of 20.0 m is considered. The remaining 2.0 m width of the deck is considered loaded with 5.0 kN/m2 other live loads (Fig. 10). Thus, maximum possible live load (without impact) to normal live load (with impact) ratio; Fig. 9. Endurance limits for E250 and E410 grade steel. Fig. 10. Arrangement of vehicles for fully loaded deck condition. H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346 345
  • 8. ¼ 2 Â 554ð1 þ 20:0=18:8Þ þ 5:0 Â 2:0 Â 38:8½ Š= 2 Â 554 Â 1:088ð Þ % 2:2 Vehicle loads keep on increasing as the years pass and consequently the loading standards are revised. Corrosion and wear and tear of the bridge also require higher load factor. A load factor of 1.5 and material safety factor of 1.1 are included in the design during service condition. Thus, an additional load factor of 1.5 (P2.2/1.5) in live load may be reasonable for the limit state of strength condition resulting in total load factor of 2.25. 7.3. Design of compression members Compression members buckle and suddenly fail without warning causing loss to life and property, and consequently an additional load factor of 1.5 may be required at the limit state of strength. In case lateral buckling of compression members is prevented, as in the case of top chord compression members in com- posite deck system, no additional load factor may be required. 8. Conclusions From the presented case study of Chauras bridge, the following main conclusions can be drawn. 1. Analysis results show that the compressive stress in members U13U14 of Chauras bridge at the time of collapse was 173.8 N/mm2 against permissible stress of 149.8 N/mm2 . Therefore, failure took place due to buckling of members U13U14. Buckling of the member was also facilitated because the compression members comprised pairs of 8 mm thick plates, in place of 16 mm thick plates. Therefore, welded built up sections must be carefully dimensioned, so that buckling of individual members may not be possible. In this connection width to thickness ratio of the constituent plates should be limited to 30. 2. As evidence in Chauraas bridge collapse, compression members buckle and suddenly fail without warning claiming life and property with it. Also, compression members do not have reserve strength like tension members, which have reserve strength beyond yield stress up to ultimate strength. Therefore, design of laterally unsupported compression members should be checked at the limit state of strength for 1.5 times higher load factor for DL + LL case. No additional load factor at the limit state of strength is required for tension members and gusset plates. Steel girder bridges are generally designed for limit state of serviceability condition only. Due to fatigue in the members, maximum permissible stress in service condition is limited to 0.6 fy in tension members, and depending on slenderness ratio to maximum 0.6 fy in compression members. However, the design must also be checked at the limit state of strength. Due to buckling and sudden failure of compression members, load factor for checking design at limit state of strength for laterally unsupported compression members should be taken 1.5 times more to 2.25(DL + LL). For tension members and gusset plates reserve strength beyond the yield stress exists up to the ultimate strength, and therefore, design load for these shall be normal 1.5 (DL + LL). References [1] Zlatko Šavor, Marta Šavor, Jing Gao, Marin Franetovic´, Failures of arch bridges – causes, lessons learned and prevention, 3rd Chinese – croatian joint colloquium on sustainable arch bridges (2011). [2] Abolhassan Astaneh-Asl, Progressive collapse of steel truss bridges, the case of I-35W collapse, in: 7th International conference on steel bridges, Guimara˘es, Portugal, 4–6 June, 2008. [3] Roberto Ballarini, Taichiro Okazaki, The infamous gusset plates, the city, the river, the bridge, University of Minnesota Press. [4] Liao Minmao, Okazaki Taichiro, Ballarini Roberto, Schultz Arturo E, Galambos Theodore V. Nonlinear finite element analysis of critical gusset plates in the I-35W bridge in Minnesota. J Struct Eng ASCE 2010. [5] NTSB-Dockets, Press releases, reports, photos and other information on I-35W, the National Transportation Safety Board Docket on the Internet, 2007– 2008. [6] Astaneh-Asl A. Behavior and design of steel and composite structures, including seismic effects. EPS; 2008. [7] IS: 800-1984, Indian Standard, Code of Practice for General Construction in Steel (based on working stress method), India, 1984. [8] Timoshenko Stephen P, Gere James M. Theory of elastic stability. Tata McGraw-Hill; 2010. Edition. [9] BS EN 1993-1-1:2005, Design of steel structures – Part 1-1: general rules and rules for buildings, Europe, 2005. [10] IS: 800-2007, Indian Standard, Code of Practice for General Construction in Steel (based on limit state method), India, 2007. [11] IRC: 6-2010, Standard specifications and code of practice for road bridges, Section II, Loads and Stresses (Fifth revision), India, 2010. [12] Gerry Johnson, I-35W bridge failure analysis report, 25/11/2007. [13] Hao S. I-35W bridge collapse. J Bridge Eng ASCE 2010;15(5). 346 H.S. Birajdar et al. / Engineering Failure Analysis 45 (2014) 339–346