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1/2" 1/2"
1/2"
1/2"
#4(401A) #4(401A)
#8 C-bar
1 1/2" (VA2R only) 1 1/2"
(2) #5(504A) (2) #5(501A)
or #6(604A)
#4(402A)
#4(402A)
1" clear 1" clear
Cross Section Cross Section
Reinforcement Detail Reinforcement Detail
at Ends at Midsection
3 1/2" 4'-0"
8" 3"
8 5/8" 6" 8"
4" 1 1/2"
#4 (404) 2" 1'-6"
4 1/2" 2"
3'- 6 3/4"
4' 4' 2'-0" 8"
1'- 1 3/8" 1' - 9" 3 1/2"
13 /4" 3 1/2"
4 1/2" 3"
7" 2"
5'- 4 1/4" 2'-2" 3 1/2"
#5 (504) 2'-9"
#4 (401) #4 (402) #4 (403)
#6 (604) Cross Section
Figure 3.9. Cross section details of the Virginia specimens.
reached as the failure load was beyond the capacity of the 3.2.4 Test Results
loading frame. The failure load was calculated using the mea-
A summary of test results is given in Table 3.2. The table
sured material properties of the concrete cylinders made
gives the failure mode and failure moment including those
during fabrication of the specimens and the coupons taken
calculated based on the specified and measured material
of the reinforcing bars.
properties and those obtained from the test. A summary dis-
cussion related to each set of specimens is given in the follow-
ing sections. More details about all fabrication and testing of
7 1/2" pairs of #4(401A) bars @ 12" spacing
all specimens are given in Appendix C.
pairs of #5(501A) bars @ 4" spacing
1 1/2" (1" clear)
3.2.4.1 Tennessee Specimens
Upon inspection after the release of the strands, neither
girder appeared to have experienced any visible end zone
cracking. The research team believes that the lack of end
zone cracking is due to the limited amount of prestressing
force, the presence of end zone reinforcement, and the size
(9) #4(402A)
and shape of the girder. The girders contained thirty 0.5-in.
diameter strands. This amount was the largest available to the
producer at the time the specimens were made. The relatively
3 1/2" (9) #4(402A) @ 4" #4(402A) bars @ 12"
small girder size and amount of prestressing, compared to the
Figure 3.10. End zone reinforcement details depths, spans, and levels of prestress in other states, has been
of VA1L (no EZR) and VA1R (no EZR). a challenge to the research team. This is because the research
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6 1/2" #4(401A) bars @ 12" #4(401A) bars @ 12" 7 1/2"
5 spa @ 2" pairs of #5(501A) bars @ 4" pairs of #5(501A) bars @ 4" 2 spa. @ 2"
1 1/2" (1" Clear) 1 1/2"(1" clear)
#8 C-bar
6 pairs of #6(604A)
@ 2" spacing
(12) (10) #4(402A)
#4(402A)
1 3/4"
4 3" 6 spa #4(402A) #4(402A) 2 1/2"
2 1/2" spa @ 4" @12" @12" 7 spa @ 4" = 2"
@ 2" 28" 3"
Figure 3.11. End zone reinforcement details of VA2L (LRFD) and VA2R (proposed).
6 1/2"
4" 2"
6 #6 bars
@2 in.
6'-7 1/2"
#5(5K1A)
3'-10"
5'-0""
36- 0.6 in.
strands
@2 in.
6 1/2" 7 1/2"
#3(3D1)
6"
3"
2'-4"" 1'-1"
Figure 3.12. Cross section details of Florida specimens.
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#5(5K1A) 22 spaces @3" #5(5K1A) #5(5K1A) 22 spaces @3"
spaced at 4"
6#6 bars
full length
Bars 4L
Bars #3(3D1)@ 6"
1 1/2" Bars Bars Bars Bars 1 1/2"
#3(3D1) #3(3D1) #3(3D1) #3(3D1)
@ 3" @ 6" @ 6" @ 3"
NOTE: PROVIDE A TOE PLATE 2'-2" BY 12" BY 1/2" WITH 6 STUDS AT EACH END
Figure 3.13. End zone reinforcement details of FL1L (FL) and FL1R (modified FL).
#5(5K1A) #5(5K1A)
#5(5K1A)
5 spaces @3" 5 spaces @ 2"
5 spaces @ 4"
6#6 bars
full length
1 1/2"
1.5"
Bars #3(3D1) @ 6" Bars #3(3D1) @ 8" Bars #3(3D1) @ 2"
1 1/2" 1 1/2"
7'-6" 6' - 0"
Figure 3.14. End zone reinforcement details of FL2L (LRFD) and FL2R (proposed).
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Location of the clamping force
P
Test setup for the first end
30"
6" a = 11'-6" b = 29'-6" 6"
L = 41'-0"
Bending Moment Diagram
(a*b/L) P = 8.274 P (k-ft)
(b/L) P = 0.72 P Shear Force Diagram
(a/L) P = 0.28 P
Location of the clamping force
P 30"
Test setup for the second end
a = 17'-6" b = 12'-0"
12'-0" L = 29'-6" 6"
Bending Moment Diagram
(a*b/L) P = 7.119 P (k-ft)
(b/L) P = 0.41 P
Shear Force Diagram
(a/L) P = 0.59 P
Figure 3.15. Support and loading arrangement of the full-scale specimens.
1" threaded
rods
(2) C12 x 20.7 1" threaded
steel shapes rods
jack locked 1'-0"
in at 54k
12'-0"
7 1/4"
2'-6"
6"
P
5'-5 1/4" 9' (2) C12 x 20.7
steel shapes
3'-9"
3/4" rubber
pad
12"
(2) C12 x 20.7
steel shapes 3'-0"
Figure 3.17. Location of the point
Figure 3.16. End clamping detail. load and clamping mechanism.
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Table 3.2. Summary of the test results of the full-scale specimens.
Strength Calculated Using: % Difference
Mode of
State End Design Specified Measured Specified Measured
Failure Test Data
Values Values and Test and Test
TN1L LRFD Flexure 4,204 k-ft 4,299 k-ft 4,539 k-ft 8.0 5.6
TN1R Proposed* Flexure 4,204 k-ft 4,299 k-ft 4,494 k-ft 6.9 4.5
Tennessee
TN2L TN DOT Flexure 4,204 k-ft 4,299 k-ft 4,649 k-ft 10.6 8.1
TN2R Proposed* Flexure 4,204 k-ft 4,299 k-ft ** -- --
WA1L**
Proposed* Shear 311.3 k 319.8 k 508.5 k 63.3 59.0
*
Washington
WA1R LRFD Shear 311.3 k 319.8 k *** -- --
State
WA2L Non Shear 311.3 k 319.8 k 434.2 k 39.5 35.8
WA2R Non Shear 311.3 k 319.8 k 457.5 k 47.0 43.1
VA1L Non Flexure 7,471 k-ft 7,809 k-ft 7,852 k-ft 5.1 0.6
VA1R Non Bearing 7,471 k-ft 7,809 k-ft 7,593 k-ft 1.6 2.8
Virginia
VA2L LRFD Flexure 7,471 k-ft 7,809 k-ft 8,215 k-ft 10.0 5.2
VA2R Proposed* Flexure 7,471 k-ft 7,809 k-ft 8,492 k-ft 13.7 8.7
FL1L FL DOT Flexure 10,039 k-ft 10,317 k-ft 9,890 k-ft 1.5 4.1
Mod. FL
FL1R Flexure 10,039 k-ft 10,317 k-ft ** -- --
Florida DOT
FL2L LRFD Flexure 10,039 k-ft 10,317 k-ft ** -- --
FL2R Proposed* Flexure 10,039 k-ft 10,317 k-ft ** -- --
* Proposed EZR detail is the end zone reinforcement recommended by Tuan et al. (16) and discussed
in Section 1.2.3 of this report.
** The girder exceeded the setup capacity.
*** Girder end was epoxy repaired.
team wanted to have specimens with end zone cracking to see allowing them to form once the presence of reinforcing steel
their effect on the girder capacity. To achieve this goal, deep decreases. This phenomenon is shown in Figure 3.21. The
girders with a large number of strands should be used. How- figure also shows the end reinforcement for WA1L contain-
ever, these large girders would be a challenge to load to fail- ing a C-shaped #8 bar 1.5 in. from the girder end. This bar was
ure in the structures laboratory because they require a large placed in conjunction with the pairs of #6 bars to locate a
amount of applied force that might be beyond the capacity of greater amount of steel close to the girder end.
the testing facility. All four ends failed in shear and reached much higher capac-
Reviewing the test results revealed that classical flexural ities than the estimated requirements. Figure 3.22 shows
failure occurred in all specimens at a load higher than the how the shear cracks run in the opposite direction of the
estimated load. The flexural failure was associated with loss end zone cracks. The load on the girder produces a force
of bond between the strands and the concrete at the girder that works in a direction to close the end zone cracks. This
end, as shown in Figure 3.18. demonstrates that even with excessive amounts of end zone
Figure 3.19 shows the load-deflection relationship of end cracking, the structural capacity of the girders was not reduced
TN1L, which clearly shows the elastoplastic behavior of the below acceptable limits. Both the repaired and unrepaired
concrete section. girders reached capacities greater than the theoretical cal-
culated capacities. It was also noted that the end that was
3.2.4.2 Washington State Specimens repaired by epoxy injection did not perform noticeably bet-
As expected, upon release of the prestress force, the ends ter than the unrepaired end, having similar percent differ-
without end zone reinforcement (WA2L and WA2R) expressed ences between the theoretical and actual results, as shown in
much more end zone cracking than the ends that contained Table 3.2. This gives evidence that epoxy injection does not
additional reinforcement (WA1L and WA1R). The comparison necessarily improve the structural capacity of girders with
is shown in Figure 3.20. Both ends that contained additional end zone cracks.
end reinforcement experienced similar widths and patterns of An example of the load-deflection relationship is presented
end zone cracking. in Figure 3.23, which shows how the test data far exceeds
In both of the reinforced ends, there was a delay in the loca- the estimated capacities. The curve is for End WA1R that was
tion of the end zone cracks where they did not start until a few designed using LRFD specifications. In this case, the load
inches into the girder. The responsible factor for this may be required to fail the girder in flexure was greater than the
the concentrated amount of reinforcing steel located near the 800 kips capacity of the two hydraulic jacks in the test setup.
end preventing cracks from starting at the very edge, but then The curve shows where loading was halted, but it can be
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(a) Classical Flexural Cracking
(b) Strand Rotation (c) Strand Slippage
Figure 3.18. Typical flexural failure and loss of bond in the Tennessee specimens.
700000
600000
500000
Load (lb)
400000
300000
Capacity Using Estimated Values (590 K)
200000
Capacity Using Measured Values (604 K)
100000
Load vs. Deflection
0
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Deflection (in)
Figure 3.19. Load-deflection curve of TN1L.
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(a) WA2L (no EZR)
Figure 3.21. Crack pattern of WA1L and WA2R.
(b) WA1R (LRFD)
Figure 3.20. End zone cracking of WA2L and WA1R.
presumed that the girder would continue to take load until Figure 3.22. End WA1L after shear failure.
flexural failure.
cracks on the ends without end zone reinforcement were wider
and more prevalent. The end designed using the AASHTO
3.2.4.3 Virginia Specimens
LRFD specifications experienced the least amount of cracking.
Upon release of the prestress force, all of the Virginia spec- See Figure 3.24.
imens experienced cracking in the range of 0.004 to 0.010 in. End VA1R was the first Virginia end tested and it failed
in width and extending no more than 3 ft from the end. The prematurely due to inadequate bearing area, as shown in
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800000
700000
600000
Load (lb)
500000
400000
300000
Capacity Using Estimated Values (510 k)
200000 Capacity Using Measured Values (524 k)
System Capacity (800 k)
100000
Load vs. Deflection
0
0
0.1
0.2
0.3
0.4
0.5
0.6
Deflection (in)
Figure 3.23. Load versus deflection curve for End WA1R.
Figure 3.25. This occurrence prompted the team to devise than 3 ft into the specimens. The two ends designed using
a pivoting support with a larger bearing area, shown in Fig- LRFD specifications and the proposed method had crack-
ure 3.26. The three remaining ends failed in shear as designed, ing patterns of similar severity. However, the end designed
where all ends held loads higher than their design capacities. using the LRFD experienced slightly more cracking than the
This is further proof that end zone cracks, even in cases where proposed method. The two ends designed from Florida details
the cracks are wider and longer than any typically reported, were similarly cracked as well. The end that had some of the
do not reduce the structural capacity of girders below the end reinforcement removed experienced slightly more crack-
design limits. ing than the end with more reinforcement, however, the
improvement is not significant enough to justify using that
amount of extra steel for reinforcement. Comparisons are
3.2.4.4 Florida Specimens
shown in Figures 3.27 and 3.28.
Upon release of the prestress force, all end zone cracks were The girders were originally designed to fail in flexure. How-
around 0.004 to 0.006 in. in width and did not extend farther ever, a mix-up at the precasting plant caused one or both of
(a) VA1R (No EZR) (b) VA2R (Proposed)
Figure 3.24. End zone cracking of VA1R and VA2R.