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STRENGTH IN PEOPLE: STRENGTH IN CONCRETE CF-AB - Technical Information/2004 BRIDGES
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Page 1: Bridges

S T R E N G T H I N P E O P L E :S T R E N G T H I N C O N C R E T E

C F - A B - Te c h n i c a l I n f o r m a t i o n / 2 0 0 4

B R I D G E S

Page 2: Bridges

TRAPEZOID GIRDER

TRAPEZOID GIRDERS 2.1

SECTION II -

INDEX

SECTION III -

SECTION IV -

NU GIRDERS

TRAPEZOIDAL GIRDERS

I- GIRDERS

BOX GIRDERS

INDEX i

SECTION I -

Page 3: Bridges
Page 4: Bridges

TRAPEZOID GIRDER

TRAPEZOID GIRDERS 2.1

INTRODUCTION

INTRODUCTION ii

The contents of this technical information handbook have been preparedby Con-Force Structures Limited to assist designers and thoseresponsible for the bridge stock of Western Canada.

As the prime manufacturer of pre-cast concrete bridge beams in theWestern provinces, Con-Force has recognized its responsibility to assistprofessionals by providing data for readily available sections togetherwith simple load/span charts to help speedy evaluation of proposedsection sizes.

Con-Force introduced the N.U. Girder to Canada in 1999 and hasassisted to progress the development of girders up to 2800 deep and todate, a length of 64.5 m. The problems associated with handling, storage,transportation and erection of deep slender girders have been resolvedby the Con-Force in-house Engineering/Erection departments.Information relating to temporary stiffining associated with long girderscan be provided upon request.

The data presented is based upon Con-Force’s understanding of therequirements of the various codes and standards which have beenreferenced in the text. Con-Force can not be responsible for differinginterpretation used by others.

INTRODUCTION

Page 5: Bridges
Page 6: Bridges

NU GIRDERS

Page 7: Bridges

NU GIRDER

NU GIRDERS 1.1

SPAN CAPABILITY

Designers have experienced limitations when using traditional existing precast,prestressed concrete I-girders. Existing sections were not well proportioned totake advantage of high strength concrete and 0.6” strand.

To take advantage of advances in precast concrete technology, Con-Force hasrecently introduced the NU girder. The girder has been already used on a numberof projects.

The NU girder has a wide bottom flange to enhance the compressive strength innegative moment regions for continuous span designs, and to allow placementof a large number of strands in the bottom flange for simple span designs.

The relatively long span capability and shallow depth of the NU girder makes itan economical alternative in situations previously reserved for structural steelgirder systems.

The high level of prestressing will normally require the use of high strengthconcrete. The span capability diagrams were developed using a 28-day concretestrength of f‘c = 65 MPa. The unit weight of concrete was assumed to be 2400kg/m3. The concrete may contain silica fume with air entrainment of 5 to 7%.The modulus of elasticity of concrete was calculated using the formula:

( ) 5.1'

230069003000

+= c

cc fEγ

The minimum release strength assumed was 42 MPa. Where there are twodashed lines in the charts, they represent limits for 42 MPa and 47 MPa releasestrength. Any point on a chart above the 42 MPa line indicates a situation wherethe release strength has to be higher than 42 MPa due to handling stresslimitations. This situation would require special mix designs which may increasethe cost.

The concrete deck 28-day strength was assumed to be 35 MPa.

Concrete

MATERIALPROPERTIES

INTRODUCTION

Page 8: Bridges

NU GIRDER

1.2 CON-FORCE STRUCTURES LIMITED

The prestressing strand is 15 mm in diameter,uncoated, seven-wire, low relaxation strand,meeting the requirements of CSA Standard G279,Grade 1860, with an area of 140 mm2. The initialjacking force is

kNfA pup 182%70 = .

The adjacent table lists the height above the soffit,at midspan, of the total prestressing force, forthe different number of strands in the bottomflange that were used in the calculations. The2800 mm deep girder uses up to an additional 8– 15 mm strands in the top flange to control thelateral stability of the girder at handling andtransportation.

End stresses were not checked for all spanconditions indicated in the charts . Stresses maybe controlled by debonding and/or deflectingselected strands at the end of the girders.

NU girders may be post-tensioned to formcontinuous beams. Reference should be madeto CAN/CSA-S6-00. When post -tensioning isincluded, a web width of 185 mm shall be used. For long span post-tensionedbridges, oiled strand (using approved corrosion inhibiting oil) may lead to decreasedfriction coefficients. Con-Force has experience constructing bridge beams withoiled post-tensioning strand.

The span capability charts were developed in accordance with the CAN/CSA-S6-00 Canadian Highway Bridge Design Code. Simple spans were assumed for allloads. The calculations were done for interior girders.

A CL 800 truck load was used, including a 25% dynamic load allowance.

A uniformly distributed load of 9 kN/m, that is 3.0 m wide was used as a lane load,superimposed with a CL 800 truck, with each axle reduced to 80%.

Yp[mm]

16 60

20 65

24 73

28 78

32 82

36 85

40 93

44 99

48 106

52 116

56 131

60 152

64 176

68 203

SPAN CAPABILITY

NumberOf Strands

PrestressingStrand

Post-Tensioning

DESIGNCRITERIA

Truck Load

Lane Load

Page 9: Bridges

NU GIRDER

NU GIRDERS 1.3

Dead loads considered to act on the untopped section are:

• girder self weight,

• 75 mm thick haunch

• 225 mm thick deck

• cross bracing (0.5 kN/m per girder)

Dead loads considered to act on the topped section are:

• 90 mm thick asphalt,• railing and curbs (13 kN/m total load per bridge)

A lane width of 3.3 m was used in the calculations.

The width of the bridge was calculated as:

(number of lanes x lane width) + 2 x 0.5 m

The multi-lane reduction factor was used. (CAN/CSA-S6-00, Clause 3.8.4.2)

The following average values of prestress losses were assumed:

• Initial Losses = 8 %

• Final Losses = 20 %

Tension stresses at the bottom of the section at midspan are limited to cf ′4.0 .

Compressive stress is not limited at service, although the ratio pdc

is limited

to 5.0 .

Tension stresses are limited to crif5.0 (CAN/CSA-S6-00, Clause 8.8.4.6).

Compressive stresses are limited to cif ′6.0 .

SPAN CAPABILITY

Lanes

Prestress Losses

AllowableStresses (Service)

AllowableStresses (atRelease andHandling)

Dead Loads

Superimosed

Dead Loads

Page 10: Bridges

NU GIRDER

1.4 CON-FORCE STRUCTURES LIMITED

GIRDER DIMENSIONS & SECTION PROPERTIES

2800 x 160 *

SPAN CAPABILITY DIAGRAM **

32

36

40

44

48

52

56

60

64

68

35 40 45 50 55 60 65

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5

1.235f`ci*** = 42 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 11: Bridges

NU GIRDER

NU GIRDERS 1.5

GIRDER DIMENSIONS & SECTION PROPERTIES

2800 x 185 *

SPAN CAPABILITY DIAGRAM **

32

36

40

44

48

52

56

60

64

68

35 40 45 50 55 60 65

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.26

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 12: Bridges

NU GIRDER

1.6 CON-FORCE STRUCTURES LIMITED

GIRDER DIMENSIONS & SECTION PROPERTIES

2400 x 160 *

SPAN CAPABILITY DIAGRAM **

32

36

40

44

48

52

56

60

64

68

30 35 40 45 50 55 60 65

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5

1.235

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 13: Bridges

NU GIRDER

NU GIRDERS 1.7

GIRDER DIMENSIONS & SECTION PROPERTIES

2400 x 185 *

SPAN CAPABILITY DIAGRAM **

32

36

40

44

48

52

56

60

64

68

30 35 40 45 50 55 60 65

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.26

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 14: Bridges

NU GIRDER

1.8 CON-FORCE STRUCTURES LIMITED

GIRDER DIMENSIONS & SECTION PROPERTIES

2000 x 160 *

SPAN CAPABILITY DIAGRAM **

28

32

36

40

44

48

52

56

60

64

25 30 35 40 45 50 55 60

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5

1.235

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 15: Bridges

NU GIRDER

NU GIRDERS 1.9

GIRDER DIMENSIONS & SECTION PROPERTIES

2000 x 185 *

SPAN CAPABILITY DIAGRAM **

28

32

36

40

44

48

52

56

60

64

25 30 35 40 45 50 55 60

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.26

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 16: Bridges

NU GIRDER

1.10 CON-FORCE STRUCTURES LIMITED

GIRDER DIMENSIONS & SECTION PROPERTIES

1600 x 160 *

SPAN CAPABILITY DIAGRAM **

20

24

28

32

36

40

44

48

52

56

20 25 30 35 40 45 50

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.235

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 17: Bridges

NU GIRDER

NU GIRDERS 1.11

GIRDER DIMENSIONS & SECTION PROPERTIES

1600 x 185 *

SPAN CAPABILITY DIAGRAM **

20

24

28

32

36

40

44

48

52

56

20 25 30 35 40 45 50

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.26

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 18: Bridges

NU GIRDER

1.12 CON-FORCE STRUCTURES LIMITED

GIRDER DIMENSIONS & SECTION PROPERTIES

1200 x 160 *

SPAN CAPABILITY DIAGRAM **

16

20

24

28

32

36

40

44

48

52

15 20 25 30 35 40

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.235

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 19: Bridges

NU GIRDER

NU GIRDERS 1.13

GIRDER DIMENSIONS & SECTION PROPERTIES

1200 x 185 *

SPAN CAPABILITY DIAGRAM **

16

20

24

28

32

36

40

44

48

52

15 20 25 30 35 40

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.5 3.0 2.5 2.0 1.5 1.26

f`ci*** = 42 MPa

f`ci*** = 47 MPa

NOTES: * (Girder depth) x (Web width) ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 20: Bridges

NU GIRDER

1.14 CON-FORCE STRUCTURES LIMITED

STRAND DETAIL

NU GIRDER END REINFORCING WITH DEFLECTED STRAND

Page 21: Bridges

NU GIRDER

NU GIRDERS 1.15

STRAND DETAIL

NU GIRDER REINFORCING WITH POST−TENSIONING(NEAR MID−SPAN)

Page 22: Bridges

NU GIRDER

1.16 CON-FORCE STRUCTURES LIMITED

STRAND DETAIL

Page 23: Bridges

NU GIRDER

NU GIRDERS 1.17

BRACING DETAIL

STEEL BRACING (DIAPHRAGM)CONNECTION TO TOP FLANGE

OF NU GIRDER

STEEL BRACING (DIAPHRAGM)CONNECTION TO BOTTOM FLANGE

OF NU GIRDER

Page 24: Bridges

NU GIRDER

1.18 CON-FORCE STRUCTURES LIMITED

BEARING DETAIL

BEARING DETAIL 1 (FIXED BEARING)

Page 25: Bridges

NU GIRDER

NU GIRDERS 1.19

BEARING DETAIL

BEARING DETAIL 2 (SLIDING BEARING)

Page 26: Bridges

NU GIRDER

1.20 CON-FORCE STRUCTURES LIMITED

BEARING DETAIL

BEARING DETAIL 3 (NARROW JOINT)

Page 27: Bridges

GIRDERSTRAPEZOIDAL

Page 28: Bridges

TRAPEZOID GIRDER

TRAPEZOID GIRDERS 2.1

DESIGN

The span capability diagrams were developed using a 28-day minimum concretestrength of f‘c = 65 MPa.

The unit weight of concrete was assumed to be 2400 kg/m3. The concrete may containsilica fume with air entrainment of 5 to 7%. The modulus of elasticity of concrete wascalculated using the formula:

( ) 5.1'

230069003000

+= ccc fE γ

The minimum concrete release strength was assumed to be 42 MPa.

The concrete deck minimum 28-day strength was assumed to be 35 MPa.

The prestressing strand is 15 mm in diameter, uncoated, seven-wire, low relaxationstrand, meeting the requirements of CSA Standard G279, Grade 1860, with an area

of 140 mm2. The initial jacking force is kNfA pup 182%70 = .

The height of the prestressing force centre above soffit was assumed to be 85 mm.

End stresses were not checked for all span conditions. They may be controlled bydebonding selected strands at the ends of the girders.

The span capability charts were developed in accordance with the CAN/CSA-S6-00Canadian Highway Bridge Design Code. Simple spans were assumed for all loads.The calculations were done for interior girders.

A CL 800 truck load was used, including a 25% dynamic load allowance.

A uniformly distributed load of 9 kN/m, that is 3.0 m wide was used as a lane load,superimposed with a CL 800 truck, with each axle reduced to 80%.

PrestressingStrand

DESIGNCRITERIA

Truck Load

Lane Load

Concrete

MATERIALPROPERTIES

Page 29: Bridges

TRAPEZOID GIRDER

2.2 CON-FORCE STRUCTURES LIMITED

DESIGN

Lanes

Prestress Losses

Allowable Stresses(Service)

Allowable Stresses(at Release andHandling)

Dead Loads Dead loads considered to act on the untopped section included:

• girder self weight,

• 75 mm thick haunch,

• 225 mm thick deck,

• cross bracing (0.5 kN/m per girder).

Dead loads considered to act on the topped section included:

• 90 mm thick asphalt,

• railing and curbs (13 kN/m total load per bridge),

A lane width of 3.3 m was used in the calculations.

The width of the bridge was calculated as:

(number of lanes x lane width) + 2 x 0.5 m

The multi lane reduction factor was used. (CAN/CSA-S6-00, Clause 3.8.4.2)

The following average prestress losses were assumed:

• Initial losses = 8 %

• Final Losses = 20 %

Tension stresses at the bottom of the section at midspan are limited to cf ′4.0 .

Compressive stress is not limited at service, although the ratio c/dp is limited to0.5.

Tension stresses are limited to 0.5 fcri (CAN/CSA-A6-00, Clause 8.8.4.6).

Compressive stresses are limited to cif ′6.0 .

SuperimposedDead Loads

Page 30: Bridges

TRAPEZOID GIRDER

TRAPEZOID GIRDERS 2.3

w = 24.78 kN/m

2

x

V/S = 91 mm

y = 797 mmb

4I = 370.6 x 10 mm9

3A = 1052.6 x 10 mm

3γ = 2400 kg/m

SPAN CAPABILITY DIAGRAM **

20

24

28

32

36

40

44

48

52

56

17.5 20 22.5 25 27.5 30 32.5

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 6.5 6.0 5.5 5.0 4.5 4 0

NOTES: * Trapezoid Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

GIRDER DIMENSIONS & SECTION PROPERTIES

1650 *

Page 31: Bridges

TRAPEZOID GIRDER

2.4 CON-FORCE STRUCTURES LIMITED

w = 26.85 kN/m

2

x

V/S = 95 mm

y = 888 mmb

4I = 474.9 x 10 mm9

3A = 1140.4 x 10 mm

3γ = 2400 kg/m

SPAN CAPABILITY DIAGRAM **

20

24

28

32

36

40

44

48

52

56

17.5 20 22.5 25 27.5 30 32.5 35

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 6.5 6.0 5.5 5.0 4.5 4.0

NOTE: *Trapezoid Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

GIRDER DIMENSIONS & SECTION PROPERTIES

1800 *

Page 32: Bridges

TRAPEZOID GIRDER

TRAPEZOID GIRDERS 2.5

w = 29.54 kN/m

2

x

V/S = 98 mm

y = 1003 mmb

4I = 631.0 x 10 mm9

3A = 1254.6 x 10 m m

3γ = 2400 kg/m

SPAN CAPABILITY DIAGRAM **

20

24

28

32

36

40

44

48

52

56

20 22.5 25 27.5 30 32.5 35

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 6.5 6.0 5.5 5.0 4.5 4.0

NOTE: * Trapezoid Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

GIRDER DIMENSIONS & SECTION PROPERTIES

2000 *

Page 33: Bridges

TRAPEZOID GIRDER

2.6 CON-FORCE STRUCTURES LIMITED

w = 32.12 kN/m

2

x

V/S = 102 mm

y = 1122 mmb

4I = 819.3 x 10 mm9

3A = 1364.2 x 10 mm

3γ = 2400 kg/m

SPAN CAPABILITY DIAGRAM **

20

24

28

32

36

40

44

48

52

56

20 22.5 25 27.5 30 32.5 35 37.5

Simple Span [m]

Num

ber o

f 15

mm

Dia

m. S

tran

ds

Girder Spacing [m] 6.5 6.0 5.5 5.0 4.5 4.0

NOTE: * Trapezoid Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

GIRDER DIMENSIONS & SECTION PROPERTIES

2200 *

Page 34: Bridges

TRAPEZOID GIRDER

TRAPEZOID GIRDERS 2.7

STRAND AND REINFORCING DETAILS

TYPICAL FLANGE REINFORCING DETAIL

Page 35: Bridges

TRAPEZOID GIRDER

2.8 CON-FORCE STRUCTURES LIMITED

CONNECTION DETAIL

Page 36: Bridges

GIRDERSI -

Page 37: Bridges

I-GIRDER SPAN CAPABILITY DIAGRAMS 3.1

I-GIRDERSPAN CAPABILITY DIAGRAMS

The high level of prestressing will normally require the use of high strength concrete.The span capability diagrams were developed using a 28-day minimum concretestrength of f‘c = 65 MPa.

The unit weight of concrete was assumed to be 2400 kg/m3. The modulus ofelasticity of concrete was calculated using the formula:

( ) 5.1'

230069003000

+= ccc fE γ

The deck 28-day minimum strength was assumed to be 35 MPa.

The prestressing strand is 13 mm in diameter, uncoated, seven-wire, low relaxationstrand, meeting the requirements of CSA Standard G279, Grade 1860, with an

area of 99 mm2. The initial jacking force is kNfA pup 129%70 = .

The table on the following page lists the height above the soffit, at midspan, of thetotal prestressing force, for the different number of strands that were used in thecalculations. End stresses were not checked for all span conditions indicated inthe charts. Stresses may be controlled by debonding and/or deflecting selectedstrands at the end of the girders.

The span capability charts were developed in accordance with the CAN/CSA-S6-00 Canadian Highway Bridge Design Code. Simple spans were assumed for allloads. The calculations were done for interior girders.

A CL 800 truck load was used, including a 25% dynamic load allowance.

A uniformly distributed load of 9 kN/m, that is 3.0 m wide was used as a lane load,superimposed with a CL 800 truck, with each axle reduced to 80%.

Dead loads considered to act on the untopped section included:

• girder self weight

• 75 mm thick haunch

• 225 mm thick deck

• cross bracing (0.5 kN/m per girder)

MATERIALPROPERTIES

Concrete

Prestressing Strand

Truck Load

DESIGN

CRITERIA

Lane Load

Dead Loads

Page 38: Bridges

3.2 CON-FORCE STRUCTURES LIMITED

I-GIRDERSPAN CAPABILITY DIAGRAMS

Dead loads considered to act on the topped section included:

• 90 mm thick asphalt

• railing and curbs (13 kN/m total load per bridge)

A lane width of 3.3 m was used in the calculations.

The width of the bridge was calculated as:

(number of lanes x lane width) + 2 x 0.5 m

The multi-lane reduction factor was used (CAN/CSA-S6-00, Clause 3.8.4.2).

The following prestress losses were used:

• Initial losses = 8 %

• Final Losses = 20 %

Tension stresses at the bottom of the section at midspan are limited to cf ′4.0 .

Compressive stress is not limited at service, although the ratio c/dp is limited to0.5.

Tension stresses are limited to 0.5 fcri (CAN/CSA-A6-00, Clause 8.8.4.6).

Compressive stresses are limited to cif ′6.0 .

Prestress Losses

Allowable Stresses(Service)

Girder Depth [mm]

914 1118 1295 / 1473 1727 2000 2300 / 2750

# of Strands

Yp [mm]

# of Strands

Yp [mm]

# of Strands

Yp [mm]

# of Strands

Yp [mm]

# of Strands

Yp [mm]

# of Strands

Yp [mm]

6 51 8 51 10 51 14 55 24 81 32 115

9 68 12 55 14 62 18 74 28 97 36 137

12 77 16 67 18 79 22 79 32 100 40 161

15 92 20 82 22 83 26 96 36 106 44 160

18 105 24 85 26 90 30 97 40 122 48 182

21 117 28 104 30 122 34 117 44 125 52 204

32 110 34 126 38 121 48 132 56 204

42 140 52 148 60 227

46 160 56 154 64 227

50 163 60 172 68 251

Superimposed DeadLoads

Lanes

Allowable Stresses(at Release andHandling)

Page 39: Bridges

I-GIRDER SPAN CAPABILITY DIAGRAMS 3.3

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

2750 *

γ

A = 782.7 x 10 mm

I = 854.8 x 10 mm

I = 42.5 x 10 mmx

y = 1438 mmb

y

V/S = 84.9 mm

b = 150 mm

w = 18.43 kN/m

= 2400 kg/m

w

3

9

3

9

4

2

4

SPAN CAPABILITY DIAGRAM **

32

36

40

44

48

52

56

60

64

68

30 35 40 45 50 55

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.0 2.5 2.0 1.53.5

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 40: Bridges

3.4 CON-FORCE STRUCTURES LIMITED

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

2300 *

γ

w = 1 5 .37 k N /m

b = 15 0 m m

V /S = 8 8 .0 m m

y = 11 1 2 m m

I = 2 1 .7 x 1 0 m m

I = 4 8 3 .9 x 1 0 m m

A = 65 2 .7 x 1 0 m m

= 2 40 0 k g /m

w

b

y

x

3

49

9

3

4

2

SPAN CAPABILITY DIAGRAM **

32

36

40

44

48

52

56

60

64

68

25 30 35 40 45 50 55

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.0 2.5 2.0 1.5 1.03.5

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 41: Bridges

I-GIRDER SPAN CAPABILITY DIAGRAMS 3.5

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

2000 *

= 2400 kg/mγ 3

A = 528 .6 x 10 m m 3

9I = 291 .7 x 10 m m 4

by = 951 .6 m m

V /S = 82 .2 m m

b = 140 m mw

x

2

y4I = 13 .6 x 10 m m9

w = 12 .45 kN /m

SPAN CAPABILITY DIAGRAM **

24

28

32

36

40

44

48

52

56

60

20 25 30 35 40 45 50

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.0 2.5 2.0 1.5

1.0

3.5f`ci = 42 MPa***

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 42: Bridges

3.6 CON-FORCE STRUCTURES LIMITED

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

1727 *

= 2 4 0 0 k g /mγ 3

A = 4 3 3 .1 x 1 0 m m 3

9I = 1 7 7 .7 x 1 0 m m 4

by = 7 9 2 .2 m m

V /S = 7 6 .6 m m

b = 1 2 7 m mw

x

2

y4I = 9 .8 x 1 0 m m9

w = 1 0 .2 0 k N /m

SPAN CAPABILITY DIAGRAM **

14

18

22

26

30

34

38

42

46

50

15 20 25 30 35 40 45

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 3.0 2.5 2.0 1.5 1.03.5

f`ci =42 MPa***

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan. *** Concrete release strength.

Page 43: Bridges

I-GIRDER SPAN CAPABILITY DIAGRAMS 3.7

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

1473 *

= 2 4 0 0 k g /mγ 3

A = 3 4 0 .0 x 1 0 m m 3

9I = 9 8 .6 x 1 0 m m 4

by = 6 8 6 .3 m m

V /S = 6 9 .6 m m

b = 1 2 7 m mw

x

2

y4I = 5 .7 x 1 0 m m9

w = 8 .0 1 k N /m

SPAN CAPABILITY DIAGRAM **

10

14

18

22

26

30

34

17.5 20 22.5 25 27.5 30 32.5 35

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 2.0 1.7 1.5 1.2 1.002.2

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 44: Bridges

3.8 CON-FORCE STRUCTURES LIMITED

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

1295 *

= 2400 kg/mγ 3

A = 304.4 x 10 m m 3

9I = 66.0 x 10 m m 4

by = 575.2 m m

V /S = 70.3 m m

b = 127 m mw

x

2

y4I = 4.75 x 10 m m9

w = 7 .17 kN /m

SPAN CAPABILITY DIAGRAM **

10

14

18

22

26

30

34

15 17.5 20 22.5 25 27.5 30 32.5

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 2.0 1.7 1.5 1.2 1.00

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 45: Bridges

I-GIRDER SPAN CAPABILITY DIAGRAMS 3.9

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

1118 *

= 2400 kg/mγ 3

A = 268.9 x 10 mm 3

9I = 41.1 x 10 mm 4

by = 467.3 mm

V/S = 71.2 mm

b = 127 mmw

x

2

y4I = 4.1 x 10 mm9

w = 6.33 kN/m

SPAN CAPABILITY DIAGRAM **

8

12

16

20

24

28

32

15 17.5 20 22.5 25 27.5 30

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 2.0 1.7 1.5 1.2 1.00

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 46: Bridges

3.10 CON-FORCE STRUCTURES LIMITED

I-GIRDER

GIRDER DIMENSIONS & SECTION PROPERTIES

914 *

= 2400 kg/mγ 3

A = 198.5 x 10 mm 3

9I = 19.8 x 10 mm4

by = 396.8 mm

V/S = 63.5 mm

b = 127 mmw

x

2

y4I = 2.05 x 10 mm9

w = 4.68 kN/m

SPAN CAPABILITY DIAGRAM **

6

9

12

15

18

21

12.5 15 17.5 20 22.5 25

Simple Span [m]

Num

ber o

f 13

mm

Dia

m. S

tran

ds

Girder Spacing [m] 1.5 1.2 1.0 0.7

NOTE: * Girder Depth ** Based on 0.4 (f'c)1/2 allowable tension at midspan.

Page 47: Bridges

I-GIRDER SPAN CAPABILITY DIAGRAMS 3.11

I-GIRDERSTRAND DETAIL

Page 48: Bridges

3.12 CON-FORCE STRUCTURES LIMITED

I-GIRDERSTRAND DETAIL

Page 49: Bridges

GIRDERSBOX

Page 50: Bridges

BOX GIRDERS 4.1

DESIGN CRITERIASINGLE BOX GIRDER

MATERIALS

DESIGN • CAN/CSA – S6-M Specifications.

• LOADING (assumed for the charts)

- LIVE LOAD – CL 800

- DEAD LOAD Includes: 100 mm min. composite concrete overlay

50 mm allowance for future wearing surface

• Minimum compressive strength for girders:

28 days = 45 MPa

release = 28 MPa.

• Concrete shall be of standard weight aggregate with a maximum size of 14 mmand shall contain 6% ± 1% entrained air.

• Prestressing strand shall be 15mm φ (7 wire) uncoated low relaxation strand,1860 MPa grade.

• Reinforcing steel shall conform to CSA G30.12M grade 400W.

• Initial tensioning shall be 182 kN per 15 mm φ strand.

• Reinforcing bars shall have 35 mm minimum cover unless otherwise noted.

• Lateral post-tensioning may be provided at diaphragm locations.

• Top of boxes shall have a transverse raked finish.

• Dowel holes and shear keys shall be filled with an approved grout.

FABRICATION

Page 51: Bridges

4.2 CON-FORCE STRUCTURES LIMITED

SPAN CAPABILITY

PRECAST SECTION PROPERTIES AND SPAN RANGE

SECTION SELF A I x 109

Sb x 106

Yb

DEPTH WEIGHT

[kN/m]* [mm2] [mm

4] [mm

3] [mm]

900 10.86 432700 46.9 101.5 462

1100 12.12 482700 77.7 137.5 565

1300 13.37 532700 118.1 177.0 667

1300S 14.32 570400 128.6 203.9 631

* Based on a concrete density of 2500 kg/m3.

40

SPAN RANGE [m]

20 25 30 35

*Based on a concrete density of 2400 kg/m3

SINGLE BOX GIRDER

Page 52: Bridges

BOX GIRDERS 4.3

DESIGN CRITERIA

• CAN/CSA – S6-M Specifications

• LOADING (assumed for the charts)

- LIVE LOAD – CL 800

- DEAD LOAD Includes: 100 mm min. composite concrete overlay

50 mm allowance for future wearing surface

• Minimum compressive strength for girders:

28 days = 45 MPa

release = 28 MPa.

• Concrete shall be of standard weight aggregate with a maximum size of 14 mm,and shall contain 6%; +/- 1% entrained air.

• Prestressing strand shall be 15mm φ (7 wire) uncoated low relaxation strand,1860 MPa grade.

• Reinforcing steel shall conform to CSA G30.12M grade 400W.

• Initial tensioning shall be 182 kN per 15 mm φ strand.

• Reinforcing bars shall have 35 mm minimum cover unless otherwise noted.

• Lateral post-tensioning shall be provided at diaphragm locations.

• Top of boxes shall have a transverse raked finish.

• Dowel holes and shear keys shall be filled with an approved grout.

DOUBLE BOX GIRDER

MATERIAL

FABRICATION

DESIGN

Page 53: Bridges

4.4 CON-FORCE STRUCTURES LIMITED

DOUBLE BOX GIRDER

SPAN CAPABILITY

PRECAST SECTION PROPERTIES AND SPAN RANGE

SECTION SELF A I x 109

Sb x 106

Yb

DEPTH WEIGHT

[kN/m]* [mm2] [mm

4] [mm

3] [mm]

500 8.64 352035 10.4 41.0 254

600 9.42 384035 16.9 55.3 306

700 10.2 416035 25.3 70.9 357

* Based on a concrete density of 2500 kg/m3.

19

SPAN RANGE [m]

11 13 15 17

*Based on a concrete density of 2400 kg/m3

Page 54: Bridges

BOX GIRDERS 4.5

• CAN/CSA – S6-M Specifications.

• LOADING (assumed for the charts)

- LIVE LOAD – CL 800

- DEAD LOAD Includes 50 mm asphalt

• Minimum compressive strength for girders:

28 days = 45 MPa

release = 28 MPa.

• Concrete shall be of standard weight aggregate with a maximum size of 14mm and shall contain 6% ± 1% entrained air. Concrete may contain 5% silicafume.

• Prestressing strand shall conform to the requirements of CSA Standard G279-M, grade 1860, low relaxation.

• Reinforcing steel shall be fabricated from deformed bars conforming to therequirements of CSA Standard G30.18 400W.

• Initial tensioning shall be 182 kN per 15 mm φ strand.

• Construction procedures shall conform to “Saskatchewan Highways andTransportation Specification 7800”.

• Exterior face of exterior stringers shall be finished to a smooth and uniformcolour and texture. Other surfaces shall have all pockets filled and all finsremoved. Top shall have a broom finish.

• All voids shall be formed with Norlux Fibre-Forms or equivalent.

SASKATCHEWAN BOX GIRDER

DESIGN CRITERA

DESIGN

MATERIALS

FABRICATION

Page 55: Bridges

4.6 CON-FORCE STRUCTURES LIMITED

SASKATCHEWAN BOX GIRDER

SPAN CAPABILITY

PRECAST SECTION PROPERTIES AND SPAN RANGE

SECTION SELF A I x 109

Sb x 106

Yb

DEPTH WEIGHT

[kN/m]* [mm2] [mm

4] [mm

3] [mm]

535 9.75 397388 13.5 49.3 273

635 10.69 435988 21.3 65.5 325

710 11.27 459438 29.6 82.6 359

* Based on a concrete density of 2500 kg/m3.

18

SPAN RANGE [m]

10 12 14 16

*Based on a concrete density of 2400 kg/m3

Page 56: Bridges

BOX GIRDERS 4.7

SC GIRDERDESIGN CRITERIA

• CAN/CSA – S6-88 Specifications except as modified below.

Allowable tension at midspan is 40% of modulus of rupture (severe exposure

conditions).

No tension is allowed in deck surface.

• LOADING (assumed for the charts)

- LIVE LOAD – CAN/CSA – S6-88; CS-750

0.8 wheel line per girder

- DEAD LOAD Girder = 0.86 t/m

Wearing Surface = 0.09 t/m

• Concrete shall contain silica fume. Concrete for the interior girders should bemade of lightweight coarse aggregate and natural sand fines. Unit weight ofsemi-lightweight concrete shall be 1920 kg/m3. Concrete for the curb girdersshould be normal weight concrete.

• 28 day concrete strength is 45 MPa.

• Release concrete strength is 28 MPa.

• Reinforcing steel shall be grade 400W (yield strength of grade 300W used indesign to allow tack welding of shear reinforcing).

• Prestressing strand is 13 mm diameter 7 wire low relaxation strand with aspecified tensile strength of 1860 MPa.

• Girders shall conform to the current requirements of the “Specifications forBridge Construction, Section 7 – Precast Concrete Units”.

• Force in prestressing strand:

Initial tensioning load = 129 kN / strand

Design load after losses = 113 kN/strand

• Bend or shift reinforcing where required to clear girder connectors and liftinghook assemblies. Stirrup spacing is to be maintained.

• Curb shall be cast monolithically with girder.

DESIGN

MATERIALS

FABRICATION

Page 57: Bridges

4.8 CON-FORCE STRUCTURES LIMITED

SC GIRDERSPAN CAPABILITY

GIRDER SECTION CURB SECTION − 1 CURB SECTION − 2

BRIDGE CROSS−SECTION

PRECAST SECTION PROPERTIES AND SPAN RANGE **

SECTION SELF A Ixx x 109

Sb x 106

Yb

WEIGHT

[kN/m]* [mm2] [mm

4] [mm

3] [mm]

SC 1206X510 11.45 466994 12.7 49.5 256

SC CURB 10.22 416569 23.9 64.9 369

* Based on a concrete density of 2500 kg/m3.

** Section properties are of the section including all holes.

SPAN RANGE [m]

6 8 10 12

*Based on a concrete density of 2400 kg/m3

**Section properties are of the section including all holes

Page 58: Bridges

For more information: www.con-force.com email: [email protected] CSA and PCI Ceritifed Plants

CalgaryOffice & Plant4300 - 50th Avenue SECalgary, AB T2B 2T7

Ph: 403-248-3171Fax: 403-248-0711

EdmontonOffice Location16910 - 129th AvenueEdmonton, AB T5V 1L1

Ph: 780-447-2666Fax: 780-447-1116

VancouverOffice & Plant7900 Nelson RoadRichmond, BC V6W 1G4

Ph: 604-278-9766Fax: 604-278-3537

Mailing Address:PO Box 9520Vancouver, BC V6B 4G3

WinnipegOffice & Plant2500 Ferrier StreetWinnipeg, MB R2P 0G8

Ph: 204-338-9311Fax: 204-336-5217

Mailing Address:PO Box 3599 RPOWinnipeg, MB R2W 3R4