Case Study
Integral bridge analysis and
design to Eurocode 4
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Analysis and
design checking of steel/composite integral bridges
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Optimisation
of steel section and slab reinforcement bar sizes
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Significant
savings in steel weight obtained over simply supported
structures
Spea Engineering spa used LUSAS Bridge and the
Steel
and Composite Deck Designer software option to investigate and optimise the design of integral bridges to the
Eurocodes. For this,
two main span configurations were chosen, characterized by having a
one and three-span arrangement respectively, with maximum lengths of
the main span equal to 38 and 45.5m depending on the standard width
of the overpassed highway carriageway. As a result of the analyses
carried out and the design checks made, time-consuming manual checks
were avoided and optimised steel beam and reinforcement bar sizes were
obtained, saving nearly 25% in structural steel weight over values
calculated for a simply supported scheme.
Single
span bridge
The main scheme of the bridge comprises two 1600mm deep
longitudinal steel beams that support a 13.5m wide composite concrete
deck. Eight equally spaced transverse steel ‘I’ beams provide
lower lateral restraint to the main beams. At each end, the
longitudinal beams are embedded into a retaining wall that itself
rests upon a substantial 1.2m thick retaining wall that is cast onto a
pilecap sitting on eight, 1.2m diameter, closely spaced piles. The
entire system creates a single frame system that is designed to absorb
all forces imposed upon it.
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Schematic for a
one span integral bridge |
Modelling
and analysis
Using LUSAS, a single 3D model was
created to represent all stages of construction and model the
soil-structure interaction that took place. Joint elements
accommodating nonlinear behaviour modelled the active and passive soil
pressures. The main longitudinal steel beams were divided into five
segments labelled A, B, C, B, A (as shown below) to optimize the
thicknesses of webs and flanges.
Design
checks
Using moment and shear data generated
from the LUSAS analysis, the steel and composite deck designer carried
out ULS bending, stress, shear and interaction; and SLS stress,
web breathing and fatigue checks for the main structural
members and connectors. From the analyses carried out and the design
checks made, time-consuming manual checks were avoided. Optimised
steel beam flange, web, and reinforcement bar sizes were obtained (see
below) for a simply supported and for an integral bridge limiting the
maximum utilization factor to 0.95. Overall, a saving of nearly 25% in
structural steel weight was obtained for the integral bridge design
with respect to the simply supported one, while the reinforcing steel in
end regions of the slab needed to be increased due to the hogging
bending moments produced by the connection between deck and abutment.
Integral abutments can be slender as well, but they need a greater
amount of steel reinforcement. From a global point of view, the
integral abutment offers a large saving with respect to the
traditional abutment of about 30%.
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Single-span simply supported bridge |
Single-span integral bridge |
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Optimized design
of steel beam and reinforcement bar sizes for defined segments |
Sensitivity to
different structural schemes
Different transverse steel arrangements
with four longitudinal beams and three-span bridges were also analyzed
and the results compared between integral and simply supported bridge
types. Results varied slightly but in all case studies analysed the
integral bridges appear to save costs and also offer greater quality
and durability.
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Three-span
integral bridge |
L. Ferretti Torricelli, of the Bridge
Design Department at Spea
Engineering spa, said: "The
use of LUSAS with nonlinear joints modeling the active and passive
pressure allowed us to have an integrated model of the deck and the
abutments that will be used also for seismic analysis, and the use of the
steel and composite deck
designer was mandatory to enable us to
optimize the design in a reasonable amount of time in accordance with
relevant Eurocodes."
"The use
of LUSAS with nonlinear joints modeling the active and passive
pressure allowed us to have an integrated model of the deck and
the abutments that will be used also for seismic analysis. The use of the steel and composite deck designer was mandatory
to enable us to optimize the design in a reasonable amount of
time in accordance with relevant Eurocodes."
L. Ferretti
Torricelli, Bridge Design Department, Spea Engineering spa
Find out more
Other LUSAS Bridge case
studies:
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