Case Study
Navvies Bridge
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Outline design
and Category III design check to Eurocodes of a replacement cycle /
footbridge
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Linear and
nonlinear buckling analyses
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Dynamic analyses
for pedestrian and crowd loading
Capita
Symonds was appointed by Cumbria County Council to carry out the
outline design, a Category III design check and project management for
the replacement Navvies Bridge in Workington, UK. The bridge comprises
a twin ribbed untied bowstring arch steel superstructure, with an
overall span of 84.8m, and carries cyclists and pedestrians over the
River Derwent. To assist with its design
and checking of the structure to the Eurocodes, Capita Symonds used
LUSAS bridge analysis software.
Overview
The new bridge replaces a precast multi-span footbridge that
stood at the same location, and which was partially washed away and
damaged beyond repair during unprecedented flooding of the river in November 2009.
The replacement arch structure spans 60m
between arch springing points that are sited well above normal water levels
and is better suited to withstand any potential future flooding that
may occur. Funding
for the new £1.7 million bridge included £375,000 from the charity
Sustrans as part of a national project to provide walking and cycling
routes for everyday journeys in communities across UK. At
3m in width the deck of the new bridge is almost twice as wide as
the old bridge, easily accommodating its shared use. Demolition
of the old bridge and the detailed design and construction of
the new bridge was undertaken for the client Cumbria County Council by
UK construction, infrastructure and design business Morgan
Sindall.
Bridge construction
The main inclined steel arch members of
the bridge are of square hollow section with their principal axes
rotated at 45 degrees to the main plane of each arch. The arch members
taper from 600mm square at plinth level down to 500mm square at the
first transverse-bracing level beneath the deck, further reduce to
400mm square at
the level of the first hanger, and remain at that size for the central
portion of the arch. Transverse upper bracing members separate the
main arches at the central seven hanger locations. In all, nine
inclined sets of 39mm diameter cables support the 300mm x 200mm x 16mm
thick RHS longitudinal deck edge beams which are transversely braced at each
lower cable fixing. The 16mm thick steel deck plate within the arch
region is stiffened on its underside with 150mm x 12mm plates at
approximately 800mm centres. Outside the arch region the deck beam and plate construction is lighter and
the two 18m long back spans are supported at their mid-span positions
by crossbeams sitting on V-shaped piers of 200mm square hollow
section.
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Modelling
in LUSAS |
Modelling, Analysis
and Results
At the outline design
stage, Capita Symonds built a variety of LUSAS finite element models to undertake
linear, nonlinear buckling and dynamic analysis of the
structure. A linear static model
allowed for preliminary section sizing and for self-weight and cable tensioning effects to be
investigated. For this, a custom-created spreadsheet helped to derive
the
cable load factors required in order to achieve the correct deck shape.
Antonio
Di Caprio, Project Engineer at Capita Symonds said "During the conceptualisation
process with the appointed architect, Mr Ron
Yee of Yee Associates, we used modal and transient dynamic analyses to
ensure that the response of the structure would remain within the
acceptable limits given by EN 1990, using pedestrian excitations from
the UK National Annex to EN1991-2." A
straightforward eigenvalue analysis identified the primary
range of natural frequencies and eigenmodes for the structure.
Subsequent investigation of the mass participation values for each
frequency (which showed the magnitude and direction of model mass
participation) and the use of the LUSAS animation facility helped
identify the critical vertical, horizontal and twisting modes. The
fundamental modes were used for more detailed pedestrian moving-load and steady-state
analysis in accordance with the requirements of the UK National Annex
to BS EN 1991-2 2003 using the LUSAS
Pedestrian Load Wizard. Use of
this wizard simplified and automated the creation of the
loadcases required to model pedestrian groups passing across a structure. Lastly, a transient dynamic crowd
loading assessment required the use of load curves to represent the
imposed loading with respect to time and for this damping values as
suggested by the code were used.
This
analysis was used to verify the comfort criteria levels by looking at the maximum vertical
acceleration of the bridge deck. As a result, the ‘acceleration versus response-time’
steady-state response of the structure was obtained showing that the maximum vertical
acceleration values were acceptable. Significant lateral mode frequencies were
kept above the critical threshold value given in the UK National Annex to
EN1991-2.
A linear buckling analysis
assessed the elastic critical buckling load factor and indicated that a geometric nonlinear buckling analysis also needed to
be carried out.
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Animation of first
eigenmode |
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Typical eigenmodes |
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Maximum
acceleration response due to crowd loading |
Category
III checking
Following detailed design
by Morgan Sindall, Capita Symonds was appointed by the client to carry
out a Category III check of the structure which saw the existing LUSAS
models being re-used, refined and re-analysed to incorporate and check
the proposed design.
The
96 tonne main arch span of the new bridge was fabricated off site and
assembled on the river bank before being lifted into place in August
2011. After
final completion works the bridge was officially opened the
following month.
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Bridge lift |
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Bridge installed |
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On completion |
"We used modal and
transient dynamic analyses to ensure that the response of the structure would
remain within the acceptable limits given by EN 1990, using pedestrian
excitations from the UK National Annex to EN1991-2."
Antonio Di Caprio,
Project Engineer, Capita
Symonds.
Find out more
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