Title: Service Load testing, Numerical Simulation and Strengthening of Masonry Arch Bridges
1Service Load testing, Numerical Simulation and
Strengthening of Masonry Arch Bridges
Carl Brookes (presenting) and Paul
Mullett Gifford and Partners 18 November 2004
2Introduction
- The ARCHTEC method
- Pop Bottle Bridge
- Condition and strength assessments
- Supplementary Load Tests
- Objectives
- Existing condition and after strengthening
- Findings
- Measured trends
- Comparisons between test results and predictions
- Concluding Remarks
31. The Archtec System
1
- The basic principle of strengthening
4Inspection, surveying and Analysis
1
5Finite/Discrete Element (DE) technique
1
- Representation of the material characteristics
(elastic and plastic behaviour). - Modelling of contact-gap-friction effects along
mortar/dry joints. - Modelling of steel reinforcement including bond
failure. - A solution procedure including the calculation of
displacement, strain and stress to efficiently
facilitate the modelling of the constitutive
behaviour in i), ii) and iii) above and perform
global structural analysis.
DE Mesh
FE Mesh
Reinforcement Mesh
6Fully Verified Structural Analysis
1
- Evaluation of predicted strength and general
behaviour against - Conventional methods of arch assessment.
- Published data from full-scale tests of
unstrengthened arches carried out by others. - Full-scale tests by TRL of bridges strengthened
by the Archtec method. - Overall philosophy of unifying all common bridge
parameters in all analyses
7Typical simulation of arch bridgeShows strength
assessment and Archtec strengthened solution
1
Shows Von Mises equivalent stresses in N/m2. Red
marks the highest levels of compressive stress in
the masonry. Stresses are not shown for fill,
surfacing and axles, hence blue (zero).
Two axle 40/44 tonne bogie with axle lift off
8Developed by Partnering
1
- Cintec International Limited
- Anchor manufacture and project management
- Rockfield Software Limited
- Finite Element package ELFEN
- Discrete Element contact technique
- Gifford and Partners
- Engineering, assessment and design
9Pop Bottle Bridge Arrangement Previously owned by
BRB Residuary Body now transferred to
Lincolnshire County Council
2
10Pop Bottle Bridge ArrangementPrincipal dimensions
2
Plan of survey
11Current Condition
2
12General ConditionIllustrates fractured nature of
transverse cracks at some locations
2
13Strength Assessment
2
- Original MEXE and mechanism analysis
- 13 tonnes rating calculated
- Special DE assessment by Gifford
- Rating increased to 40/44 tonnes
- Still concern about four transverse cracks
- Recommendation made to use Archtec retrofit to
stabilise cracks
14Unstrengthened no weight restriction in place
2
15DE Strength AssessmentBridge survey and model
discretisation
2
16Archtec Strengthening arrangement
2
17Archtec Strengtheninginstallation
2
18Supplimentary load testing objectives
3
- To demonstrate that ARCHTEC retrofitted anchors
contribute to the structural behaviour under
service loads and that the effects are beneficial
and measurable. - To validate the use of the DE analytical method
to predict serviceability related behaviour in
un-strengthened and strengthened arches. - Strategy to repeat tests before and after ARCHTEC
retrofit Tests 1 and 2
19Why Pop Bottle Bridge?
3
- Its construction and previous use make it an
ideal representative of British arch bridge stock
particularly road over railways - (Previously owned by BRB Residuary Body now
transferred to Lincolnshire County Council) - The disused and dismantled railway permit easy
access for test instrumentation. - Has significant defects that permit the
investigation of crack control
20Test 1 - unstrengthenedReserve of capacity
during test, must remain elastic, risk assessment
3
DE simulation included the following Full depth
transverse cracks No transverse load distribution
½ ULS capacity above which damage may result
Single 11 ½ tonne axle
Extra strength not modelled here Transverse load
distribution Spandrel walls Influence of skew
21Test 1 2 Masonry Instrumentation
3
500mm long VW gauges
Instrumented lines
8 LVDT crack gauges
4 x 18 VW gauges
LVDTs across cracks
LVDTs vertical displacement
22Test 2 - Anchor Instrumentation
3
23Test 2 - Anchor Instrumentation
3
24Bridge Loading28 cases, all based on single 11.5
tonne axles
3
25Bridge LoadingThree types of vehicle positioning
3
2. Two vehicles, side by side in different
longitudinal
11.5 tonne axle, wheel contact area
1. Single vehicles in different longitudinal and
transverse positions
3. Two vehicles, back to back in different
longitudinal and transverse positions
26Supplementary Load Test Findings
4
- Comparison of Unstrengthened and Strengthened
- Intrados vertical displacement (abandoned)
- Crack displacements
- Intrados macro strains
- Comparison of measured and predicted results
- Intrados macro strains
- Anchor strains
27Results discussed here
4
- Mainly south span
- Only two gauges lost for test 2
- Trucks side by side
- 6 cases out of 28 applied
- Least transverse boundary effects
28Measured crack displacementsSouth span
4
29Measured crack displacementsNorth span
4
30Apparent barrel behaviour
Classic arch type behaviour
Compression of loose material in partially open
cracks
31Measured crack displacementsSummary of Findings
4
- Maximum absolute crack displacements for
unstrengthened case 0.046mm - Similar strengthened value is 0.009mm
- Archtec strengthening prevents significant
movement of transverse cracks under live load - Reduces load cycle derived hysteretic damage
- Likely to be beneficial to bridge service life
32Measured intrados macro strainsSouth span, east
side, LC 9
4
Compression
33Measured intrados macro strainsSouth span, east
side, LC 8
4
Compression
34Measured intrados macro strains Summary of
Findings
4
- Archtec strengthening reduces intrados tensile
strains - Reduces the risk of loose masonry
- Likely to increase service life
- Strengthening significantly reduces crack strains
- Reduces load cycle derived hysteretic damage
- Likely to be beneficial to bridge service life
35Predicted ResultsExample show 11.5 tonne axle at
¼ point
4
Shows intrados and macro strains Red marks
extrados results, blue intrados Thin lines show
existing condition, thick after ARCHTEC
Shows principal compressive stresses in N/m2. Red
marks the highest levels of compressive stress in
the masonry.
36Predicted and measured intrados macro strains -
unstrengthenedSouth span, east side, LC 9
4
DE model used for predictions includes closed
full barrel thickness cracks Predicted results
calculated over 500mm length
Compression
37Predicted and measured intrados macro strains -
strengthenedSouth span, east side, LC 9
4
Compression
38Predicted and measured intrados macro strains -
unstrengthenedSouth span, east side, LC 8
4
Compression
39Predicted and measured intrados macro strains -
strengthenedSouth span, east side, LC 8
4
Compression
40Predicted and measured intrados macro strains
Summary of Findings
4
- Measured crack strains cannot be easily predicted
- Crack strain measurements can be filtered out
- The distribution of intrados macro strains can be
predicted - Some adjustment required to allow for 3D
behaviour so that the magnitude of conservative
2D results compare well - Adjust for skew, transverse load distribution,
influence of spandrel walls
41Predicted and measured anchor strainsSouth span,
east side, LC 9
4
42Predicted and measured anchor strainsSouth span,
east side, LC 8
4
43Predicted and measured anchor strains Summary of
Findings
4
- The distribution of anchor strains can be
predicted - The magnitude of anchor strains can also be
predicted and improved by further adjustment - To allow for initially open existing transverse
cracks - To allow for 3D behaviour so that correlation of
the magnitude of conservative 2D results can be
improved (skew, transverse load distribution,
influence of spandrel wall)
44Concluding Remarks - 1
5
- Anchors are stressed under working loads
- Archtec strengthening reduces tensile intrados
macro strains hence reduce likelihood of
loosening masonry under cyclic loads - Anchors across transverse cracks reduce cyclic
opening and closing under repeated live loads,
hence reduce hysteretic damage
45Concluding Remarks - 2
5
- DE simulation results agree well with measured
values, masonry and anchors. Results are
conservative because of skew, transverse load
distribution and spandrel walls - It has been demonstrated that Archtec
strengthening can be designed not only for the
ultimate limit state (strength) but also for the
serviceability limit state (deflections, strains
and stress ranges)
46Serviceability Checking
5
- Serviceability criteria for masonry is not
established - Current simple criteria is SLS loads should
remain below ½ ULS levels - Limits could be set to define serviceability in
terms of the following but more research is
required - Live load deflections
- Crack widths or macro strains
- Maximum absolute SLS stresses
- Maximum SLS stress range/load cycles in masonry