Case Study
Gateshead Millennium Bridge
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cable stayed opening footbridge
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staged construction analysis
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nonlinear dynamic analysis
Gateshead Millennium Bridge is a striking arched opening bridge designed
by Gifford and Partners
with Wilkinson
Eyre. Made of steel, and designed with the aid of LUSAS Bridge analysis software,
the bridge stands 45m high and spans 105m across the River Tyne to provide a link between
the newly revived Newcastle quayside and the Gateshead quayside
opposite.
The 130m long deck is parabolic in elevation and of steel box section
that tapers in plan towards the centre of the deck. It carries a pedestrian footway that
varies from 3m to 5m in width as well as a 2.5m cantilevered cycleway. The main arch is
also parabolic in shape and tapers both in plan and elevation. Whilst small river craft
can sail beneath the bridge, for larger craft the cable-stayed double-arched structure
pivots at the abutments through an angle of 40 degrees to give the 25m navigational
clearance as specified by the client, Gateshead
Borough Council. At the fully open position the suspension cables lay horizontal
holding the pair of arches together. Huge 14 tonne castings on either
side support bearings which withstand the outward and radial thrusts imposed.
According to Shapour Mehrkar-Asl, one of the engineers
on the project, "Using LUSAS was essential on the design of this bridge because a
full 3D staged construction analysis to model the construction sequence, and a
step-by-step integration with large angles, to model the opening and closing sequence was
required". In all, 374 elements modelled the structure with 2-noded 3D bar
elements, 3D engineering thick beams, and corresponding 3D joint elements being used. A
whole range of detailed analyses were carried out on the structure including: linear
static, frequency (eigenvalue) extraction, buckling (eigenvalue) analysis, and staged
construction using a nonlinear analysis with a linear elastic material.
The staged construction facility in LUSAS allows a complete model to be
built but lets the user activate or deactivate selected elements to suit the stage of
construction being considered. It is particularly suited to cable stayed structures of
this type where prestressing of the cables using initial stress or strain, and replacement
or severance of cable stays is to be investigated. Dead, live, wind loading, and
temperature effects were also assessed, with rigid supports being used for all models with
the exception of the opening and closing model which required spring supports with contact
gap elements.
As Shapour Mehrkar-Asl explains, "The forces and displacements
produced from the LUSAS analyses were used to decide upon the design and staged
construction method". He continues, "The calculation of the initial forces in
the tendons to give the required profile for the bridge deck, allowing for
any camber,
were used in the staged construction analysis, and were an essential part in the design of
the bridge."
A dynamic analysis of the opening and closing sequence using
step-by-step integration is still to be carried out at the time of writing. For this
analysis, elements will be amended to allow for a 40 degree rotation of the whole model
with contact joint elements being used to allow for support separation. In addition, the
3D engineering thick beam element will be replaced with a nonlinear 3D engineering thick
beam to accommodate the rotation in the model.
Additional
LUSAS staged construction analyses were also carried out to investigate the lifting
and transporting of the bridge from the construction yard, where it
was assembled, to its permanent position. Additional elements representing the lifting
assembly can be seen on the LUSAS model shown.
The bridge was
officially opened in May 2002.
"The calculation of the initial forces in
the tendons to give the required profile for the bridge deck, allowing for any camber,
were used in the staged construction analysis, and were an essential part in the design of
the bridge."
Shapour Mehrkar-Asl,
Project Engineer, Gifford and Partners
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