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Externally post-tensioning,carbon FRP bar system,deflection control
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Presentation Overview
1. Introduction
2. Laboratory validation of CFRP bars
3. Externally post-tensioned CFRP system
4. Structural implications of EPT system configuration 4. Structural implications of EPT system configuration
5. Conclusion
6. Reference
1.Introduction
1δ
2δ
External Force
3.Externally post-tensioned
CFRP bar system
Fig. (a) schematic of base configuration(b) live-end anchor for 12.7 dia mm bar.
Externally post-tensioned CFRP system
Fig. Trial field installation onto soffit of reinforced concrete slab.
2.Laboratory validation of CFRP bar
assembly
Sample ID
Failure load,
Fu (kN)
Tensile strength,ffu = Fu /Ab (Mpa)
Table: Uniaxial tensile test results
1 228.8 1806.6
2 261.8 2067.1
3 223.0 1760.9
4 235.1 1856.7
5 249.6 1970.6
Mean 239.7 1892.4
4.Structural implications of EPT
system configuration
� single-span member with EPT system:
(a) straight bar scheme with PT force applied at live end; and
(b) profiled bar scheme with extendable mid span deviator.
PT force and bending moment
components
1,pδ, 1 &sδ
2,pδ
3,pδ
Structural efficiency and effect of
boundary conditions
3
,
1
p p i
i
δ δ=
=∑
δ δ=
� Efficiency Ratio
, 1s sδ δ=
pE
sR
δδ
=
Structural efficiency and effect of
boundary conditions
2
2
1 (3 4 )cos ( ) 2 sin ( )
3(1 4 )ER k
µ µα λ α λµ
− −= + ×−
For Simply supported case:
2cos ( ) 2 sin ( )
3(1 4 )ER kα λ α λ
µ= + ×
−
21 4 (3 4 )cos ( ) 2 sin ( )
24 (1 2 )ER k
µ µα λ α λµ µ
− −= + ×−
For Fixed supported case:
Beam with simple supports
Beam with rotational end
constraints
Beam with rotational end
constraints
5.Conclusion� Reduces deflection in flexural members
� More effective than EB FRP System-cost effective
� Profiled bar scheme – clearance limitation, cost-benefit considerationbenefit consideration
� Applicable to structural rehabilitation of timber, steel bridges
6.Reference� “Flexural behavior of continuous steel girder with external
post-tensioning”, Journal of Constructional Steel Research
� “Unbonded CFRP Bar System for External Post-Tensioning”, American Composites Manufacturers Tensioning”, American Composites Manufacturers Association, COMPOSITES & POLYCON 2007, October 17-19, 2007,Tampa, FL USA
� Validation of externally post-tensioned carbon FRP bar system for rehabilitation (http://www.rb2c.miami.edu/Events/POSTERS-IAB_meeting-Oct12-13-2007.pdf)
Deviator� R=1900mm, � UHMW Polyethylene
Fig. schematic of base configuration
Stainless steel anchor for 12.7 mm dia bar