Manufacturer Guaranteed FRP Material Properties
Table G1 Manufacturers Reported FRP System Properties (in) 00065(ksi) 550
(inin) 00167(ksi) 33000Modulus of Elasticity of FRP Laminate
Rupture Strain ε fu Ultimate Tensile Strength f fu Thickness per ply t f
Strengthened Moment Capacity Variable Results
Table G2 Flexural FRP Design Variable Summary
1 2 3 4 5 61 1 1 1 1 1
072 091 090 090 058 091120 152 150 150 096 152
(kipmiddotft) 6136 11072 11013 11013 9086 6733(kipmiddotft) 7010 11626 11626 11626 11633 7008
YES YES YES YES YES YESYES YES YES YES YES YES100 101 100 100 100 101168 169 167 167 167 169085 085 085 085 085 085
(plies) 1 1 1 1 3 1(in) 14 9 9 9 14 5
(plies) 0 0 0 0 0 0(in) 0 0 0 0 0 0(in) 0 0 0 0 0 0(in) 0 0 0 0 0 0(in2) 0091 00585 00585 00585 0273 0033
(in2) 0091 00585 00585 00585 0273 0033FRP
FailureFRP
FailureFRP
FailureFRP
FailureFRP
FailureFRP
Failure
(in) 6195 3436 3418 3418 345 6187
(kipmiddotft) 7021 11687 11629 11629 11648 7047(kipmiddotft) 7010 11626 11626 11626 11633 7008
OK OK OK OK OK OKOK OK OK OK OK OKOK OK OK OK OK OKOK OK OK OK OK OK
(ft) 054 295 295 295 295 054YES YES YES YES YES YES
(inin) -00022 -00011 -00011 -00011 -00010 -00022(inin) 00113 00113 00113 00113 00100 00113(inin) 00128 00128 00128 00128 00113 00128
εconcrete location (in) 415 4225 4225 4225 4225 415εsteel location (in) 3958 4625 4625 4625 4625 3958εFRP location (in) 00 00 00 00 00 00
Max εsteel
Max εFRP
Max εconcrete
FRP Termination Point Distance from AbutmentFRP Anchoring with Transverse Reinforcement
Width of FRP plies on bottom face wfb
of plies each web face of girder nw
cinitial = c
ΦMngtΦMreqSteel service level stress check fss lt 08fyService Level FRP stress check ffslt055ffu
Total Area of FRPEffective Area of FRP
of plies on bottom face of girder nb
BeamFRP Flexural Reinforcement Design DetailsDesired Minimum Rating Factor
Required Resisting Moment Strength ΦMreq
Controling Failure Mode
Distance from Extreme Compression Fiber to Neutral Axis c
Nominal Moment Strength ΦMn
Distance from bottom of girder to bottom edge of FRP laminate on Distance from bottom of deck to top edge of FRP laminate on web
Width of FRP plies on webs wfw
Operating Rating Factor with FRPEnvironmental Reduction Factor CE
Required Moment Capacity for Inv RF = 1Require StrengtheningEligible for FRP StrengtheningInventory Rating Factor with FRP
Existing Inventory Rating FactorExisting Operating Rating FactorExisting Moment Capacity
- 169 -
Strengthened Shear Capacity Variable Results
Table G3 FRP Shear Design Variables- Beams 1 and 6
1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8(ft) 00 03 26 48 58 88 148 165 00 03 26 48 58 88 148 165
NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO(kips) 1632 2286 1071 960 960 850 790 620 1632 2286 1071 960 960 850 790 620(kips) 680 700 640 585 559 482 328 287 680 700 640 584 559 482 328 287(in)
(Layers)(degrees)
(in)(in)
(kips)(kips) 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
389 547 231 222 234 237 322 272 389 547 231 222 234 237 322 272649 913 385 370 391 395 537 455 649 913 385 370 391 395 537 455
(kips) OK OK OK OK OK OK OK OK OK OK OK OK OK OK OK OK(kips) 1632 2286 1071 960 960 850 790 620 1632 2286 1071 960 960 850 790 620
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES
FRP Shear Reinforcement Design Details
Beam 1 Beam 6Section Section
Section Distance from AbumentRequire FRP StrengtheningV ExistingV RequiredFRP strip lengthNumber of FRP layersstripAngle of Primary Fiber OrientationStrip WidthCenter-to-Center spacing of StripsVFRP RequiredVFRP ProvidedStrengthened INV RF
Stregthened V gt V Required
Strengthened OPR RFFRP Sheets in SectionFRP Shear Contribution LimitStrengthened Shear Capacity
Table G4 FRP Shear Design Variables- Beams 3 and 4
1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8(ft) 00 03 26 48 58 88 148 165 00 03 26 48 58 88 148 165
NO NO NO NO YES YES NO YES NO NO NO NO YES YES NO YES(kips) 1633 2279 2279 2169 953 843 783 613 1633 2279 2279 2169 953 843 783 613(kips) 1360 1419 1303 1200 1152 1006 715 639 1360 1419 1303 1200 1152 1006 715 639(in) 359 718 720 359 718 720
(Layers) 3 1 1 3 1 1(degrees) 45 45 90 45 45 90
(in) 8 8 8 8 8 4(in) 22 16 24 22 16 20
(kips) 199 164 25 199 164 25(kips) 00 00 00 00 239 200 00 94 00 00 00 00 239 200 00 57
132 193 213 220 105 105 112 114 132 193 213 220 105 105 112 106220 322 356 367 176 176 188 190 220 322 356 367 176 176 188 177
2 5 3 2 5 4(kips) OK OK OK OK OK OK OK OK OK OK OK OK OK OK OK OK(kips) 1633 2279 2279 2169 1193 1043 783 707 1633 2279 2279 2169 1193 1043 783 670
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YESStregthened V gt V Required
Strengthened OPR RFFRP Sheets in SectionFRP Shear Contribution LimitStrengthened Shear Capacity
Center-to-Center spacing of StripsVFRP RequiredVFRP ProvidedStrengthened INV RF
FRP strip lengthNumber of FRP layersstripAngle of Primary Fiber OrientationStrip Width
Section Distance from AbumentRequire FRP StrengtheningV ExistingV Required
FRP Shear Reinforcement Design Details
Beam 3 Beam 4Section Section
Table G5 FRP Shear Design Variables- Beams 2 and 5
1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8(ft) 00 03 26 48 58 88 148 165 00 03 26 48 58 88 148 165
NO NO NO NO YES YES NO YES NO NO NO NO YES YES NO YES(kips) 1633 2279 2279 2169 953 843 783 613 1633 2279 2279 2169 953 843 783 613(kips) 1360 1419 1303 1200 1152 1006 715 639 1361 1419 1304 1201 1152 1007 715 639(in) 359 718 720 359 718 720
(Layers) 3 1 1 3 1 1(degrees) 45 45 90 45 45 90
(in) 8 8 4 8 8 4(in) 22 16 24 22 16 24
(kips) 199 164 25 199 164 26(kips) 00 00 00 00 239 200 00 47 00 00 00 00 239 200 00 47
132 193 213 220 105 105 112 104 132 193 213 220 105 105 112 104220 322 356 367 176 176 188 174 220 322 356 367 176 175 188 174
2 5 3 2 5 3(kips) OK OK OK OK OK OK OK OK OK OK OK OK OK OK OK OK(kips) 1633 2279 2279 2169 1193 1043 783 660 1633 2279 2279 2169 1193 1043 783 660
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YESStregthened V gt V Required
Strengthened OPR RFFRP Sheets in SectionFRP Shear Contribution LimitStrengthened Shear Capacity
Center-to-Center spacing of StripsVFRP RequiredVFRP ProvidedStrengthened INV RF
FRP strip lengthNumber of FRP layersstripAngle of Primary Fiber OrientationStrip Width
Section Distance from AbumentRequire FRP StrengtheningV ExistingV Required
FRP Shear Reinforcement Design Details
Beam 2 Beam 5Section Section
- 170 -
- 171 -
APPENDIX H PROPOSED FRP STRENGTHENING DESIGN DRAWINGS
- 172 -
Sect
ion
Num
ber
87
65
43
21
C LW
VU
HS-
20B
EA
M 1
DE
SIG
N
Sect
ion
Num
ber
Each
Sid
eof
Web
Bot
tom
of
Gird
er
Laye
rs
Flex
ural
Rei
nfor
cem
ent
Cen
ter-
to-C
ente
r Spa
cing
(in)
12
34
56
78
Laye
rsSh
eet W
idth
(in)
Shea
rR
einf
orce
men
t
Fibe
r Orie
ntat
ion
Ang
le (D
eg)
Laye
rsSh
eet W
idth
(in)
Shee
t Wid
th (i
n)
DATE
CURRENT ISSUE
DRAWING NO
B-1 HS-20
DETAILED BY
CHECKED BY
WCS
WCS6 JUNE 2008
PROJECT NAME
PROJECT LOCATION
PennDOT SR 4012 IBR BRIDGE
NORTHUMBERLAND COUNTY PA USACONDITION
WVU HS-20 BEAM 1 FRP DESIGN
1 90A
NC
HO
R4
1 141 14
1 141 14
1 141 14
1 141 14
6 JUNE 2008
- 173 -
Sect
ion
Num
ber
87
65
43
21
C L
Sect
ion
Num
ber
Each
Sid
eof
Web
Bot
tom
of
Gird
er
Laye
rs
Flex
ural
Rei
nfor
cem
ent
Cen
ter-
to-C
ente
r Spa
cing
(in)
12
34
56
78
Laye
rsSh
eet W
idth
(in)
Shea
rR
einf
orce
men
t
Fibe
r Orie
ntat
ion
Ang
le (D
eg)
Laye
rs
31
Shee
t Wid
th (i
n)
Shee
t Wid
th (i
n)8 24 90
8 22 45
DATE
CURRENT ISSUE
DRAWING NO
B-2 HS-20
DETAILED BY
CHECKED BY
WCS
WCS
PROJECT NAME
PROJECT LOCATION
PennDOT SR 4012 IBR BRIDGE
NORTHUMBERLAND COUNTY PA USACONDITION
DESIGN CHECK OF BASF BEAM 5 DESIGN
4516811 90
AN
CH
OR
4911
11
11
99
99
9
6 JUNE 2008
6 JUNE 2008
WV
UH
S-20
BE
AM
2D
ESI
GN
- 174 -
Sect
ion
Num
ber
87
65
43
21
C L
Sect
ion
Num
ber
Each
Sid
eof
Web
Bot
tom
of
Gird
er
Laye
rs
Flex
ural
Rei
nfor
cem
ent
Cen
ter-
to-C
ente
r Spa
cing
(in)
12
34
56
78
Laye
rsSh
eet W
idth
(in)
Shea
rR
einf
orce
men
t
Fibe
r Orie
ntat
ion
Ang
le (D
eg)
Laye
rsSh
eet W
idth
(in)
Shee
t Wid
th (i
n)
DATE
CURRENT ISSUE
DRAWING NO
B-3 HS-20
DETAILED BY
CHECKED BY
WCS
WCS
PROJECT NAME
PROJECT LOCATION
PennDOT SR 4012 IBR BRIDGE
NORTHUMBERLAND COUNTY PA USACONDITION
DESIGN CHECK OF BASF BEAM 5 DESIGN
6 JUNE 2008
6 JUNE 2008
WV
UH
S-20
BE
AM
3D
ESI
GN
1 90A
NC
HO
R4
1 91 9
1 91 9
1 91 9
- 175 -
Sect
ion
Num
ber
87
65
43
21
C L
Sect
ion
Num
ber
Each
Sid
eof
Web
Bot
tom
of
Gird
er
Laye
rs
Flex
ural
Rei
nfor
cem
ent
Cen
ter-
to-C
ente
r Spa
cing
(in)
12
34
56
78
Laye
rsSh
eet W
idth
(in)
Shea
rR
einf
orce
men
t
Fibe
r Orie
ntat
ion
Ang
le (D
eg)
Laye
rsSh
eet W
idth
(in)
Shee
t Wid
th (i
n)
DATE
CURRENT ISSUE
DRAWING NO
B-4 HS-20
DETAILED BY
CHECKED BY
WCS
WCS
PROJECT NAME
PROJECT LOCATION
PennDOT SR 4012 IBR BRIDGE
NORTHUMBERLAND COUNTY PA USACONDITION
DESIGN CHECK OF BASF BEAM 5 DESIGN
CD
ocuments and SettingsgparishC
EELocal SettingsT
emporary Internet FilesContentIE5M
CXTP3U
Ewvu_logo[1]gif
6 JUNE 2008
6 JUNE 2008
WV
UH
S-20
BE
AM
4D
ESI
GN
1 90A
NC
HO
R4
1 91 9
1 91 9
1 91 9
- 176 -
Sect
ion
Num
ber
87
65
43
21
C L
Sect
ion
Num
ber
Each
Sid
eof
Web
Bot
tom
of
Gird
er
Laye
rs
Flex
ural
Rei
nfor
cem
ent
Cen
ter-
to-C
ente
r Spa
cing
(in)
12
34
56
78
Laye
rsSh
eet W
idth
(in)
Shea
rR
einf
orce
men
t
Fibe
r Orie
ntat
ion
Ang
le (D
eg)
Laye
rsSh
eet W
idth
(in)
Shee
t Wid
th (i
n)3
1 8 24 90
8 22 45451681
1 90A
NC
HO
R16
1433
33
33
DATE
CURRENT ISSUE
DRAWING NO
B-5 HS-20
DETAILED BY
CHECKED BY
WCS
WCS
PROJECT NAME
PROJECT LOCATION
PennDOT SR 4012 IBR BRIDGE
NORTHUMBERLAND COUNTY PA USACONDITION
DESIGN CHECK OF BASF BEAM 5 DESIGN
6 JUNE 2008
6 JUNE 2008
WV
UH
S-20
BE
AM
5D
ESI
GN
1414
1414
1414
VA
RIE
S
- 177 -
Sect
ion
Num
ber
87
65
43
21
C L
Sect
ion
Num
ber
Each
Sid
eof
Web
Bot
tom
of
Gird
er
Laye
rs
Flex
ural
Rei
nfor
cem
ent
Cen
ter-
to-C
ente
r Spa
cing
(in)
12
34
56
78
Laye
rsSh
eet W
idth
(in)
Shea
rR
einf
orce
men
t
Fibe
r Orie
ntat
ion
Ang
le (D
eg)
Laye
rsSh
eet W
idth
(in)
Shee
t Wid
th (i
n)1 90
AN
CH
OR
4
511
11
11
15
55
55
5
DATE
CURRENT ISSUE
DRAWING NO
B-6 HS-20
DETAILED BY
CHECKED BY
WCS
WCS
PROJECT NAME
PROJECT LOCATION
PennDOT SR 4012 IBR BRIDGE
NORTHUMBERLAND COUNTY PA USACONDITION
DESIGN CHECK OF BASF BEAM 5 DESIGN
6 JUNE 2008
6 JUNE 2008
WV
UH
S-20
BE
AM
6D
ESI
GN
51