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CRITICAL ANALYSIS OF NEW SIDINGS ROAD BRIDGE AND
FOOTBRIDGE OVER FABIAN WAY.
C P Nichols
University of Bath
Abstract: This paper provides detailed information and analysis of the Fabian Way Road and Footbridge. The
analysis will include sections on bridge aesthetics, design, loading, construction and strength.
Keywords: Fabian Way Bridge, Cable Stayed, Statement Bridge, Park and Ride, Pedestrian
Figure 1: Elevation of Fabian Way Bridge [1]
1 Introduction
The New Sidings Bridge, or Fabian Way Bridge as it
is referred to throughout this paper, is a cable stayed
bridge spanning Fabian Way (A483) in Swansea. It is
designed to link a Park & Ride scheme on the outskirts on
Swansea with an express bus link. The bridge also
incorporates a walking and cycle route which links up
with a national cycle path. The bridge has a skew span of
approximately 60m.
Figure 2: Aerial photo showing location of bridge with
red line. The M4 is to the East, and Swansea to the West.
[2]
Proceedings of Bridge Engineering 2 Conference 2008 16 April 2008, University of Bath, Bath, UK
Mr C P Nichols: [email protected]
2 Bridge Aesthetics
The analysis of the aesthetics of this bridge will be
based around the ideas of bridge engineer Fritz Leohardt.
He believed that there were ten areas of bridge aesthetics
which all needed to be considered during the design of a
bridge. These 10 areas are:-
1. Fulfilment of Function
2. Proportions of the bridge
3. Order within the structure
4. Refinement of design
5. Integration into the environment
6. Surface texture
7. Colour of components
8. Character
9. Complexity in variety
10. Incorporation of nature
Fabian Way Bridge is simple but effective in its
construction and design and satisfies the needs of the
Highways Agency in that it is unusual and dramatic and
helps to minimise the chances of motorists falling asleep.
It is obvious to all that the single mast is held up in
position by the two sets of cables, which are in turn held
down by ground anchors, and the single cables from the
mast support the deck. There are also visible expansion
joints at either end of the bridge which help to reassure the
public that the bridge will work.
The proportions of the bridge seem sensible on first
impressions. The slender mast appears to be elegant,
lightweight and in proportion with other aspects of the
bridge, as it should be for a cable stayed bridge. The
depth of the deck appears to be a suitable size for the span
required. However, the cross section does not change size
between cable supports as might be expected due to the
moments developed in the structure. This enables the
bridge to have a greater sense of flow which is enhanced
by the curvature of the bridge. This is obvious when
observed from walking over the pedestrian side.
One proportion that might at first seem unreasonable
is the large size of the central beam. This beam is used to
secure the cable ties along with providing the support to
cantilever the road and footpath of each side of the bridge.
However, this particular element is very much unnoticed
at first despite being vital for the correct functioning of
the bridge.
Although the basic structure of the bridge, its mast
and deck, are simple and effective the cables used to
support the mast are not ordered. They purposefully cross
each other to minimise the number of different cable
lengths needed. This results in an elegant appearance
from some angles but then a messy appearance from
others.
Figure 3: Crossing cables [1]
The parapets used throughout the bridge are identical
for each side of the bridge and provide consistency and
order. This is also echoed in the use of lighting of the
bridge. There are lights positioned at regular intervals
along the length of the footpath for pedestrians and
cyclists.
Figure 4: Parapet on pedestrian side of bridge [1]
The elegant mast that adds so much to the beautiful
nature of the bridge also shows the refinement of the
design. The mast tapers towards its anchored and free
ends as well as increasing in size near the cable
attachments. This is due to the greater resistance needed
at these locations. One refinement that could have been
made would be to space the cables equally over the whole
span of the bridge. This can be seen as the first cable
supporting the bridge is a greater distance away from the
mast than it is from the next supporting cable.
This area of Swansea is undergoing a great deal of
regeneration and already has one iconic cable stayed
bridge, “The Sail Bridge”. This addition of a second
cable stayed bridge into the city on one of the main
transport routes helps to set the scene for people visiting
as well as integrating the new bridge. Care has also been
taken to ensure that the bridge does not interfere with the
surrounding area. This was achieved by placing the
ground anchors and mast support onto the industrial side
of the bridge rather than the densely populated residential
side.
The texture, finish and colour of a bridge are vital,
especially for a bridge such as this due to the speed at
which pedestrians and cyclists will cross it. The structure
of the bridge is mostly steel which fits in with the heritage
of the local area. This steel, which is generally regarded
as the finish of choice in urban environments, has been
painted throughout the bridge to create a sleek finish as
well as to highlight the slender deck and supporting mast.
This high quality painted finish has been used for the steel
parapets and the lights which both help to unify the
bridge. This choice of white also helps to achieve a
feeling of lightness across the bridge which is regarded as
a vital requirement for pedestrian bridges. The overall
view of bridge is also immaculate at night time. A bridge
specific lighting solution was design by architects to
ensure the elegant nature of the bridges vital components
could be seen when travelling into Swansea at any time of
day. This solution can be seen in Figure 5.
Figure 5: Bridge Lighting Scheme at night [3]
Tarmac has been used as the surfacing on both the
road and pedestrian sides of the bridge. This finish was
chosen to provide a seamless continuation over the bridge
from the approaches.
One possible problem with the finish of the bridge
was the connection of the steel cables to the central beam.
This problem has been overcome by providing a white
metal screen which is bolted to the top of the central
beam. This screen gives the illusion the steel cables
simply disappear into the bridge and does not spoil the
otherwise excellent finish and texture.
Figure 6: Screen to obscure cable to beam connection.[1]
Although the bridge maybe lacking in vast amounts
of character at this early stage in its life it is likely it will
develop over time as it is another focal point for a rapidly
developing area of South Wales. The character the bridge
has at this time is due to its simple but effective nature.
Various important structural elements are purposefully
exposed which makes it easier for the general public to
understand and appreciated the mechanics of bridge. This
includes the cable connections to the ground anchor
which can be seen below in Figure 7.
Figure 7: Ground anchor with cable connections [1]
The bridge as a whole is visually excellent and
stimulating. Its elegant nature lends itself to be easily
understandable as previously mentioned. There are some
elements that are obviously complex to anyone that sees
the bridge close up. The most obvious of these is the
crossing cables which appear confusing from most angles.
However, it has hidden secrets such as connections, and
its construction which are not obvious and that add to the
complexity. This leads to the bridge becoming more
complex the longer it is examined.
Although the bridge does not immediately
incorporate nature it does incorporate heritage. The
bridge is regarded locally as “The Second Sail Bridge”.
This stems from “The Sail Bridge” which was a cable
stayed bridge built to connected the new SA1
development and the old Maritime Quarter. This second
bridge continues the theme of integrating the land with
the sea which was started by “The Sail Bridge”. The
bridge also respects nature in its design. The abutments
from the previous “Sidings Bridge” were used at either
end of the bridge with the foundations for ground anchors
and mast been located on the South Western edges of the
site in order to not disturb any buildings on the North
Eastern edge. There was also not the need for extra
ground based supports anywhere on the bridge which
minimises the effect the bridge has on nature and the local
environment.
3 Bridge Design and Construction
3.1 Choice of Bridge Type
As Fabian Way Bridge is a joint pedestrian and road
bridge it has to perform on two accounts. Not only must
it fulfil the needs of a pedestrian bridge in being
lightweight and elegant but it must also perform suitable
well for the road vehicles which pass underneath and
over. As a result a cable-stayed bridge is a good option.
Cable-Stayed bridges are not only chosen for their
aesthetic credentials but also for their mechanics. They
are stiffer than suspension bridges due to the stay cables.
The cables travel directly from the deck to the pylon
which is a more direct load path. It is this direct load path
which helps to increase stiffness. This is coupled with the
advantage that each cable is relatively thin in comparison
the suspension bridges and the tedious process of spinning
is not necessary. This speeds up construction and any
replacements needed later in the bridges life.
3.2 Structural Form
The bridge has a skew span of approximately 60m
with a total width of approximately 10m. A single plane
system was used to support the continuous central beam
which runs the length of the bridge between each
abutment. The deck consists of numerous cantilever,
tapered I-Sections which differ in size with respect to
whether they support the roadway or footpath. The cable
ties used to support the deck are 56mm fully locked coil
cable system and 36mm 1030 with nut and washer to link
the mast with the ground anchors. The cables are spaced
over the length of the bridge at approximately 6m centres.
An asymmetric, single plane cable system was chosen
for its aesthetic quality. The use of a single plane system
for the cables means the overall system of the bridge
relies heavily on the torsional stiffness of the decks. The
reliance can be reduced by having the cables more closely
spaced than would first seem necessary. This leads to the
deck only being necessary to resist the bending induced.
For Fabian Way the problem of torsional stiffness is
even greater as only one side of the bridge carries
relatively heavy traffic loading. This explains why, on
inspection, the cantilever beams are much larger for the
bus carrying lane than the pedestrian and cyclist’s lane.
Due to aforementioned problems a compromise has
been necessary. The spans between the cables have been
reduced slightly from what would originally seem
acceptable. This helps to reduce the bending generated in
the deck. However, the section size of the deck is still
larger than expected in order to deal with the large
difference in loading between each side.
It is common for the mast of cable stayed pedestrian
bridges to be inclined in an attempt to reduce bending as
much as possible. This technique has been continued on
Fabian Way Bridge. However, the mast is not inclined in
the direction that would first be thought appropriate.
3.3 Preliminary Design Procedure
For the design and analysis of cable-stayed bridges
the loading is applied with the deck modelled as a
continuous section over each of the cable supports. The
support reactions provide the force in each of the cable
ties and, therefore, the necessary cross sectional area. The
bending moments in the deck and the longitudinal forces
induced in the cables lead to the sizing of the deck section
required. The size of the pylon is determined by the
amount of compression it carries along with the amount of
bending generated under live load applied at the worst
case positions for traffic along the bridge.
3.4 Construction
A common way of constructing cable-stayed bridges
is to use suspended cantilever construction. This form of
construction is used to reduce the hogging moments
which occur over the piers of bridges. Fabian Way does
not have any intermediate piers but this form of
construction could have worked by attaching the ties to
the ground anchors as the ties were secured to the bridge.
The construction of Fabian Way was, however,
slightly different. Temporary formwork was erected at
the half way point on the central reservation of Fabian
Way itself as well as near each abutment. This enabled
the central steel beam to be transported to site as two
separate beams. The South Western beam was lifted into
place first and rested on the temporary formwork.
Figure 8: First Part of Central Beam [3]
Next, the mast, which was transported as one
complete element, was lifted into place by 3 separate
cranes. As the second part of the central beam was lifted
into place on its temporary supports the mast was secured
to the 2 ground anchors with 1 cable to each. The
remaining mast to anchor ties were attached to the mast
for future requirements but left unattached to the ground
anchors. This is shown in Figure 9.
Once the complete central beam was in place the
addition of the cantilever steel beams took place with the
cable ties being secured to the deck and ground anchors
as required. This method is a derivation of suspended
cantilever construction. The cable ties are attached to the
deck and ground anchors when required in order to
stabilise the system as more of the cantilever beams and
associated structure is added.
Once all the cantilever beams were added to each
side of the main central beam steel plates were added to
the beams to brace the structure and provide a surface
suitable for laying tarmac as well as securing the various
important items of bridge furniture.
Figure 9: Mast and Ties during construction [3]
4 Bridge Loading
This cable stayed bridge across Fabian Way has been
designed to British Standard BS 5400 (BS 5400) [4]. BS
5400 is a limit state design code which involves a check
to prevent collapse at the Ultimate Limit State (ULS)
along with a check on the serviceability of the bridge,
such as deflections, at the Serviceability Limit State
(SLS). The bridge is subjected to five main types of
loading: dead load, super-imposed dead load, live load,
wind load and temperature effects. In order to design the
bridge effectively a combination of the above loads will
need to be checked at both limit states.
Fabian Way Bridge will have a relatively small dead
load in comparison to many other bridges as it is not a
standard highway bridge. This is compounded by the fact
that the deck is mainly constructed from steel which is
light in comparison to pre-cast concrete decks. The two
halves of the bridge are subjected to slightly different
dead loads due to the different sizes of steel cantilever
sections used. However I have assumed that the
difference in weight is negligible and have used the dead
load for the road carriageway for both carriageways.
The super-imposed dead load (SDL) is also relatively
small over the whole bridge. The components of SDL in
this case are tarmac, parapets, various lighting appliances
and the bridges own drainage.
The live loading acting on the bridge is traffic
loading on the South Eastern side with pedestrian loading
on the North Western side.
Wind loading on the bridge was also checked but due
to its urban location and the stiffness provided by the
deck structure it is anticipated that normal wind loading
will not be the determining factor in the loading on the
bridge. However it is possible that wind uplift could have
a large impact on the loading of the bridge.
The effects of temperature on the bridge are also
expected to be minimal due to the inclusion of expansion
joints in the bridge. However, it is still necessary to
check this area for overall shrinkage or expansion of the
bridge along with differential movements that might be
experienced.
One load case that would be considered if this was a
concrete bridge would be creep. This is, however, not
required for Fabian Way as its main construction material
is steel which does not suffer from creep.
Although it will not be considered in this paper in
reality it would be necessary to check the steel cables for
stress relaxation. This is to ensure they do not loose any
of their strength due to being heavily loaded for a
significant period of time.
4.1 Assumed Dimensions
Table 1: Assumed Dimensions
Variable
Length (m) 60
Road Width (m) 4.5
Footpath Width (m) 4.5
Bridge Width (m) 10
Min Depth of Deck (m) 0.5
Max Depth of Deck (m) 1
Height of Mast (m) 60
4.2 Load Factors
Partial load factors are applied to all the load
condition but the value varies bet ULS and SLS. These
factored values are then combined in order to calculate
the worst possible load combinations for the bridge.
There are two factors used throughout bridge engineering:
γfl and γf3.
The factors used throughout the analysis for dead
load and SDL are shown below in Table 2 and Table 3.
The values are taken from BS 5400, Part 2.
Table 2: Dead Load Safety Factors
Steel Factors of Safety
γfl ULS = 1.05
SLS = 1.00
γf3 ULS = 1.10
SLS = 1.00
Table 3: SDL Safety Factors
Steel Factors of Safety
γfl ULS = 1.75
SLS =1.20
4.3 Dead, Super-Imposed Dead and Live Loads
4.3.1 Dead Load and Super-Imposed Dead Load
As I do not have access to technical drawings I have
had to estimate values for the dead load of the bridge.
These estimations are based on a unit weight of steel of
78.5kN/m3 and dimensions of elements gauged from site
pictures. I have assumed that g = 10N/Kg in all my
estimations.
Table 4: Dead and SDL for bridge
Material Load (kN/m)
Parapets 1.25
Surfacing 0.92
Steel Plate Road Surface 3.53
Steel Beams 6.64
Steel Edge Beams 3.50
Cables 2.23
Total SDL 2.17
Total Dead Load 15.9
The bridge cross section varies between each side of
the bridge but is constant along the length of the bridge.
4.3.3 Live Loading
For pedestrian bridges the standard loading applied is
5kN/m2
if under 36m. Fabian Way Bridge is
approximately 60m long and is therefore reduced by a
factor k which is calculated as follows:-
k = (nominal HA UDL for length x 10)/(L + 270)
nominal HA UDL for length = 151.(1/L)0.475
nominal HA UDL for length = 21.6kN/m
nominal HA UDL for area = 7.2kN/m2
k = (7.2 x 10) / (60 + 270)
k = 0.218
Loading = 5 x 0.218
Loading = 1.09kN/m2
For the traffic loading it is necessary to first
determine the number of notional lanes. I have assumed
throughout these calculations that the roadway is 3m wide
and this culminates in the roadway having only 1 notional
lane. This is used to correct the nominal HA UDL value
calculated above to accommodate for the carriageway
width being less than 4.6m and, therefore, less than two
notional lanes.
The notional load calculated above, 7.2kN/m2, is
subsequently multiplied by γfl and γf3 to obtain design
loadings. The calculated values are shown below in Table
5.
Table 5: Design Loadings for Roadway
Factor
Load
(kN/m2)
Design Load
(kN/m2)
ULS 1.50 7.20 10.8 γfl
SLS 1.20 7.20 8.64
ULS 1.10 7.20 7.92 γf3
SLS 1.00 7.20 7.20
Although there are bollards to prevent vehicular
access to from the South Western edge on the footpath
side of the bridge these are not repeated on the North
Eastern edge. As a result it will be necessary to check
this side for vehicular loading to prevent against damage
that could be caused by vandalism. However, it would
not be possible to accommodate HB vehicles on either
side of the bridge and therefore it is not necessary to
design the bridge for these loadings.
The parapets of the bridge have to be designed to
withstand 1.4kN/m over the complete length of the
bridge. This amounts to 84kN total.
The abutments that have been used for the bridge are
the original abutments from the previous Sidings Bridge.
They are less than 4.5m from the edge of the road and,
therefore, would need to be checked for accidental
vehicle loading in accordance with clause 6.8 from
BS5400-2. Even though the abutments should withstand
the forces applied it is necessary to complete the check as
a precaution.
4.4 Temperature Effects
4.4.1 Effective Temperature
If a bridge is not design to withstand the effects of
temperature large stresses can be induced in the structure.
These large stresses can cause expansion within the
bridge and could, if large enough, provoke a failure. This
bridge has been designed to withstand these increases
though and, as a result, appears to have expansion joints
at both ends. This enables any expansion that does occur
to be managed. It is possible to calculate the movement
that the expansion joints need to be designed for by using
the following equations.
δ = εl (1)
ε = ∆T α (2)
Table 6: Temperature Variables
Variable Value
∆T 23oC
α Co/1012 6−×
E 200,000 N/mm2
The average temperature of Swansea was calculated
to be approximately 11oC. This temperature, along with
the maximum of 33oC and minimum of -12
oC (taken from
BS5400-2) were used to calculate ∆T. The end value was
calculated to be 23oC. The calculations for δ are shown
below:-
( )
( ) ( )mm56.16
106010276
276
101223
36
6
=
×××=
=
××=
−
−
δ
δ
µεε
ε
As the bridge is restrained at both ends it feels a
compressive stress that is calculated below.
E⋅= εσ (3)
( )2
6
/2.55
20000010276
mmN=
××= −
σ
σ
This is a considerable stress that is being induced in
the structure and expansion joints are obviously necessary.
However, the bridge must be designed to deal with these
increases in stresses in the case of a blockage in the
expansion joint which could prevent the bridge from
being able to expand where it was designed.
4.4.2 Temperature Difference
Assuming that Fabian Way is a Group 2 bridge deck
(Figure 9 BS5400-2) there will be a variation in the
temperature of the deck from ambient temperature at the
bottom of the deck profile and 24oC above ambient
temperature at the top of the deck profile. This increase in
temperature leads to the bridge experiencing a stress of
57.6N/mm2.
The difference between the temperatures at the top
and bottom of the bridge deck induces extra axial forces
and bending moments within the bridge.
The extra axial force is calculated to be 97.2MN and
the moment induced by the temperature being equal to
7211kNm.
4.5 Wind Loading
The bridge over Fabian Way is difficult to analyse for
wind loading. This is mainly due to the lack of advanced
knowledge of how these types of structures behave under
wind loading. One vital requirement of the bridge is that
the cable ties used to support the bridge are pre-stressed to
a sufficient level so that, in the case of wind uplift, they
do not slacken off.
A rough analysis can be carried out using various
equations from BS5400-2.
4.5.1 Maximum Wind Speed
The maximum wind speed that occurs at the site of
the bridge is calculated using the following equation.
211 SSvKVc = (4)
The variables for use with the above equation are
taken from figures and tables in BS5400-2. The height of
the site is assumed to be 10m and the values are taken
from this. As it is a footbridge it is possible to modify the
final value by a factor m. The variables are show below in
Table 7.
Table 7: Wind Gust Calculations Variables
Variable Value
V (m/s) 30
K1 1.49
S1 1
S2 1
m 0.8
The maximum wind gust can be estimated as:-
smV
V
SSvKV
c
c
c
/79.35
8.01149.130
211
=
××××=
=
4.5.2 Horizontal Wind Load
The horizontal wind load acts at the centroid of the
part of the bridge under consideration. For this
calculation I have decided to consider the deck. The
equation is:-
Dt CqAP 1= (5)
In the above equation q is the dynamic pressure head.
2
613.0 cVq = ` (6)
2
2
/2.785
79.35613.0
mNq
q
=
×=
A1 is the solid horizontal projected area in m2 and CD
is the drag coefficient. CD is derived from the b/d ratio
and then a value is taken from the relevant table in
BS5400-2. The two options below are for if a gust blows
with and without a bus crossing the bridge
101
10
1
10
==
==
==
d
b
depthd
widthb
5.24
10
4
10
==
==
==
d
b
depthd
widthb
These, in theory, would lead to having a CD
coefficient of 1.05 or 1.40. However, as part of this
bridge is a footbridge it is necessary to raise the value to
the minimum coefficient for foot/cycle track bridges. The
value used is, therefore, 2.
kNP
NP
P
CqAP
t
t
t
Dt
2.94
94224
2602.785
1
=
=
××=
=
4.5.3 Longitudinal Wind Loads
The longitudinal wind load on both the structure and
parapets has also been calculated. The loads on the
structure are shown below.
DLS CqAP 125.0= (7)
kNP
NP
P
LS
LS
LS
6.23
23556
2602.78525.0
=
=
×××=
The wind loads acting on the parapets of the structure
are shown below.
tL PP 8.0= (8)
kNP
P
L
L
36.75
2.948.0
=
×=
This shows that the parapet of the bridge should be
designed in order to withstand 75.36 applied as a point
load.
4.5.4 Uplift and Downward force
It is necessary to calculate this as the final value gives
an indication as to the amount of pre-stress that is needed
in the cable ties. This is to ensure they do not slacken of
if the bridge deck is forced into an uplift position.
Lv CqAP 3= (9)
In this case q remains the dynamic pressure head
calculated earlier. A3 is the plan area of the deck and CL is
another coefficient which is dependant on the b/d ratio.
kNP
NP
P
v
v
v
146
2.146047
31.06002.785
=
=
××=
However, the CL value for the cross section is
inaccurate as the cross section of Fabian Way is not a
standard cross-section. Therefore as a conservative
estimate CL is increased to 0.75. This could be reduced in
practise by wind tunnel testing. This rise in CL increases
Pv to 353.5kN.
4.5.5 Wind Loading Combinations
There are various wind loads which need to be
considered throughout the design of bridges. The
combinations are their final values are shown below in
Table 8.
Table 8: Wind Loading Combinations
Combination Value (kN) Value (kN/m)
Pt 94.2 1.57
Pt + Pv 447.7 7.46
Pt – Pv -259.3 -4.32
PL 75.36 1.26
0.5Pt + PL + 0.5Pv 299.11 4.99
0.5Pt + PL – 0.5Pv -54.19 -0.90
This table shows that the worst case for wind loading
for this bridge is Pt + Pv = 240.2kN. As a result this is the
value that should be used for all the subsequent load
combinations.
4.6 Vibrations
As part of Fabian Way Bridge is a footbridge it is
necessary to pay close attention to the vibrations of the
bridge. In order to analyse these effectively we initially
calculated the fundamental natural frequency of the
bridge, fo, using Euler’s differential equation. To
calculate the second moment of area for the section it has
been necessary to use the same estimated sizes as used
earlier when calculating the dead load of the bridge. For
ease of calculations I have assumed the beams are of a
constant height equal to the average over the whole
length. Another estimation I had to make was that second
moment of area was an average of the second moment of
area of the deck alone and the second moment of area of
the beams in elevation. This leads to the second moment
of area being equal to 0.158m4.
It was necessary to make other assumptions before
calculating the fundamental frequency. The mode of
vibration was based on a clamped-clamped beam. In
reality it would be more accurate to model the bridge as
pinned-pinned but this is not possible with this method of
calculation. For this analysis the contribution of stiffness
provided by the single plane of cable ties has been
ignored. Therefore the value calculated for the
fundamental frequency will be lower than value
experienced by the bridge.
( ) 4
2
...
lmIElnn βω = (10)
( )( )
Hz7.27
60.159010158.10200
37.22
1
4
39
1
=
××=−
ω
ω
This value of 27.7Hz is safely within the permissible
range for the frequency of vibration. In reality the bridge
would have a larger fundamental frequency due to the
additional stiffness provided to structure by the cable ties.
The result of the fundamental frequency leads onto the
maximum permissible acceleration:-
ofa 5.0= (11)
2/63.2
7.275.0
sma
a
=
×=
4.7 Load Combinations
There are 5 combinations of loads which need to be
checked for Fabian Way Bridge. These combinations
need to be checked at both the ULS and SLS. However
only the ULS calculations are shown as these are the
worst case scenario’s in each case.
4.7.1 Combination 1
Combination 1 consists of all permanent loads plus
primary live loads.
Comb 1 = Dead Load + SDL + Live Load (12)
All the loads in the above equations are multiplied by
their specific γfl and γf3 values. The calculations for the
Ultimate and Serviceability limit states are shown below.
ULS:
( )mkN /42.34
2.75.117.275.19.1505.110.1
=
×+×+××
4.7.2 Combination 2
Combination 2 consists of all the loads from
combination loads plus the worst case wind load which is
shown in Table 7.
ULS: ( )
mkN /5.41
46.710.12.725.117.275.19.1505.110.1
=
×+×+×+××
4.7.3 Combination 3
Combination 3 consists of the loading from
combination 1 plus the temperature loading induced in the
bridge.
ULS: ( )
mkN /4.37
5.330.12.725.117.275.19.1505.110.1
=
×+×+×+××
4.7.4 Combination 4
Combination 4 consists of all permanent loads plus
secondary live loads such as skidding, longitudinal and
collision loads. All these secondary live loads must be
coupled with the associated primary live loads.
For this particular bridge though it is not necessary to
check the parapet collision as no HB vehicles are able to
travel over the bridge. Neither is it necessary to calculate
the centrifugal loading as the bridge is not curve in plan.
The calculation for combination 4 has, however, been
omitted from this report as it is not the most significant
for the bridge.
4.7.5 Combination 5
Combination 5 includes all permanent loads plus the
loads due to friction at the supports. Once again this
calculation has been omitted as it is not the worst case
scenario for the bridge.
4.7.6 Conclusion on Load Combinations
As can be seen from the calculations above load
combination 2 is the most severe for this particular bridge.
As a result the value of 574kN/m will be used throughout
the analysis of the bridge.
5 Structural Analysis
The bridge carries the majority of its load through its
cable ties and steel mast. The cables are in tension and
the mast is in compression. The abutments will also be in
compression.
5.1 Bending Moments
A basic bending moment diagram is created by
assuming the loading acting on the road way acts over all
the bridge. The loads used are the worst case values from
Load Combination 2. The max moments are stated below.
Mmax Hogging = 160kNm
Mmax Sagging = 115kNm
The max sagging moment occurs in the span furthest
from the central point of the bridge and the maximum
hogging moment occurs at the cable tie position that is
adjacent to the maximum sagging moment position, but
closer to the centre of the bridge.
5.2 Cable Strength
These cable strength calculations are taken from
reference [5]
Cable Area = Max Force / Stress (13)
Stress = Ultimate Stress / Factor of Safety (14)
= 1570 / 5
= 314kN
Max Force = 160kN
( )
2
3
510
31410160
mmArea
Area
=
×=
Cable Area = 2.rπ
mmdiameter
mmradius
radius
48.25
74.12
510
=
=
=π
The bridge uses 56mm cables for the mast to deck
ties and from my basic calculations you can see that these
cables are not oversized.
5.2 Deflections
The maximum deflection will occur at the same
location as the maximum sagging moment. This equation
is slightly inaccurate as it assumes the part of the bridge
being considered is acting as a simply supported beam.
As can be seen the deflection is well within the allowable
range.
EI
wL
384
5 4
max =δ (15)
( ) ( )mm42.0
1058.110200384
75003235
max
113
4
max
=
××××
××=
δ
δ
360lim
span=δ (16)
mm21360
7500lim ==δ
6 Foundations
The foundations of bridges are very important and
can often amount to around 50% of the total cost for a
bridge. This was not, however, such a problem for Fabian
Way Bridge as it is on the site on an old Sidings Railway
Bridge. As a result the abutments on each side will have
been designed to cope with railway freight loading and,
therefore, are perfectly acceptable for a small footpath
and park and ride bridge. However, some work was
undertaken in order to modify the existing abutments to
accommodate the alter bridge cross section.
6.1 Ground Anchor
The only major work that was needed for the
foundations were the ground anchor’s for the cables on
the South Western side of the bridge along with the
foundations for the mast itself.
Although exact information is not available on the
foundations used it can be seen in Figure 7 that the ground
anchor is concrete. This leads me to think that the
foundations below could either be a continuation of the
concrete or, more likely, be friction piles. These would
have been used to resist the tension force exerted on the
anchor by the cable ties.
6.2 Approach Foundations
It is likely that at either end of the bridge a jockey
slab has been provided in order to ensure a smooth
transition on and off the bridge for the park and ride
buses.
7 Susceptibility to Intentional Damage
As this is a dual purpose bridge there is the possibility
of it being damaged by vehicles. The bridge has been
designed to resist parapet loading from cars. However,
the road is not wide enough to allow large vehicles such
as Heavy Goods Vehicles across.
However, I think the possible problem of intentional
damage by vehicles was in the process of being removed
when I visited the site in February 2008. Whilst I was
visiting a team of contractors were installing an electronic
reader system along with a barrier similar to the one
shown below in Figure 10.
Figure 10: Road Blocker [6]
The bridge has no intermediate piers but the
abutments present would have been checked against
vehicle collisions in accordance with BS5400.
The ground anchors have been placed behind
standard crash barriers which help to minimise any
possible damage from collision. However, the concrete
base to the ground anchors and mast foundations look of a
sufficient size to resist the collision loading that would
occur if the crash barriers present did not reduce the
energy of an accident by the prescribed 80%.
Although vandalism, such as graffiti, has not been a
problem in its short life it could be a problem in the
future. The areas most susceptible to graffiti are the
foundations for the ground anchors and the central beam.
If this was to occur it could be easily removed by simply
re-painting over the area.
8 Possible Future Changes
The bridge is very new and was officially opened in
November 2007. There is no room to accommodate a
wider bridge although, if necessary, the current footpath
across the bridge could be replaced with a roadway if it
was ever desired.
On the whole it is regarded as a ‘Statement Bridge’
and the first sign and welcome to a newly revived
Swansea.
It main purpose was also to reduce the number of
cars travelling in and out of Swansea and to cut the
journey time. This has been achieved as expected by
linking the bridge into the express bus route.
This linking has continued by including the bridge
into a National Cycle Network which is visible on all new
Ordnance Survey Maps.
There is, finally, the option to significantly increase
the bus flow over the bridge. On my visit the frequency
seemed to be around one bus every 10 minutes. As the
traffic only travels in one direction this could be increased
with no adverse affects on travel time.
9 Conclusion
The bridge over Fabian Way in Swansea is very well
designed. It provides a dramatic welcome to Swansea for
visitors along with being functional. It is not only a great
engineering solution but also a striking piece of
architecture.
10 Acknowledgements
The guideline notes for this paper were provided by
Professor Tim Ibell. Along with his lecture series ‘Bridge
Engineering 1’ it proved essential in gaining all the
information needed. I would like to thank him for
making these easily available.
11 References
[1] Pictures taken by Mr. C P Nichols, 7th
Feb 2008.
[2] http://maps.google.co.uk
[3] News Articles, Press Releases. Various contributors.
http://www.swansea.gov.uk
[4] BS 5400-2:2006. Steel, Concrete and Composite
Bridges – Part 2: Specification for Loads. BSI
[5] Seward, D. 2003. Cable Sizing Equation,
Understanding Structures Analysis Materials and
Design, 3rd
Edition
[6] Avon Barrier Company, Technical Details
http://www.avon-
barrier.co.uk/rb680roadblocker.html