ADVISORS: MR. SEVAK DEMIRDJIAN

MR. PHILIPPE BRISEBOIS

(SNC Lavalin)

DESIGN PROPOSAL FOR A SINGLE AND DOUBLE SPAN BRIDGE USING COST ANALYSIS

11.29.2013 GROUP 4:

MARLÈNE BAMBONYÉ 260192256

SARAH LAVALLIÈRE 260275783

MICHAEL MASI 260379971

ARAM TORIKIAN 260429332

ABRAM WASEF 260393886

O B J E C T I V E S

I. Design of four bridges

i. One-span bridge

Pre-stressed Concrete and Steel alternatives

ii. Double-span bridge

Pre-stressed Concrete and Steel alternatives

II. Perform a cost analysis of each option for both the

one-span and two-span scenarios

D E S C R I P T I O N O F P R O J E C T

O n e - S p a n v s . T w o - S p a n

Understand the differences in analysis for a simply

supported bridge in comparison to a continuous

design

S t e e l v s . C o n c r e t e

Understand both the economic and design

implications of designing with steel versus concrete

to choose the most viable option

D E S I G N C H A L L E N G E S

S t a n d a r d s f o r a n a l y s i s & d e s i g n :

i. CAN/CSA-S6-06:

Canadian Highway Bridge Design Code (2006)

ii. Manuel de Conception des Structures, issued

by the Ministère des Transports du Québec (2012)

D E S I G N S TA N D A R D S

R e l e v a n t S o f t w a r e :

i. Advanced Design America

ii. SAP2000

S O F T WA R E

Locat ion :

Côte-des-Neiges / Remembrance Rd Montreal, Quebec (45°29’43” N 73°36’17”W)

Soi l Pro f i le : Foundation is on bedrock (capacity 1 000 kPa)

S I T E

N

1 S PA N S C H E M AT I C

2 S PA N S C H E M AT I C

M AT E R I A L S & M AT E R I A L P R O P E R T I E S

Material Properties

Concrete

fc’ for Concrete 35 MPa

fc’ for Deck and Beams 50 MPa

εc 0.0035

Steel

Strength of Pre-stressed Strands 1860 MPa

Yield Strength of Reinforcing Steel 400 MPa

Yield Strength of Steel Elements 350 MPa

Modulus of Elasticity 200 GPa

Soil φ 30⁰

Bridge Components & Materials

Asphalt Overlay

Concrete Deck

Weathering Steel Beams

Pre-stressed Concrete Beams

Reinforced Concrete Columns

Concrete Footings & Abutments

Elastomeric Bearing Plates

Galvanized Steel Rebar

S U M M A RY O F B A S I C PA R A M E T E R S

GENERAL CROSS SECTION FOR 1 SPAN AND 2 SPAN DESIGN

A N A LY S I S A P P R O A C H

R e l e v a n t L o a d C o m b i n a t i o n s (CSA-S6-06 cl. 3.5)

1 - U L S c o m b i n a t i o n 1 : ɑD (Dead Loads)+ 1.7 (Live Load) (ɑD: 1.5 for Asphalt, ɑD: 1.2 for Deck, ɑD: 1.1 for NJ Barriers, ɑD: 1.1 for Girders)

2 - U L S c o m b i n a t i o n 1 :

1.0 (Dead Loads)+ 1.7 (Live Load) + 1.25 (Earth Pressure)

3 - U L S c o m b i n a t i o n 5 :

1.25(Dead Loads) +1.0 (Earthquake Load)

SUPERSTRUCTURE COMPONENTS

SUBSTRUCTURE COMPONENTS

SUBSTRUCTURE COMPONENTS

D E C K D E S I G N

Chapter 8 of the Manuel de Conception des Structures, MTQ, 2012

Reinforcement Bar Type Spacing (mm)

Longitudinal Steel Reinforcement 15M 200

Transverse Steel Reinforcement 20M 200

Additional Transverse Steel Reinforcement in Cantilevered Portion 15M 400

A bridge satisfying the requirements of Clause 5.6.1.1 shall

be treated as a beam for the purpose of determining

longitudinal moments, longitudinal vertical shears and

deflections due to dead load (CSA-S6-06 cl. 5.6.1.2).

G I R D E R D E S I G N : A N A LY S I S M O D E L S

S i n g l e S p a n :

D o u b l e S p a n :

A N A LY S I S A P P R O A C H : D E F I N I T I O N O F

L O A D S

1. Dead Loads: Self-weight of all structural & non-structural components

2. Live Loads: Moving Load Analysis of CL-625 truck (CSA-S6-06 cl. 3.8.3.2)

1 SPAN 2 SPAN

COMPONENT STEEL (KN/m) CONCRETE (KN/m) STEEL (KN/m) CONCRETE (KN/m)

Asphalt overlay 1.53 1.53 1.53 1.53

NJ Concrete Barriers 1.61 1.61 1.61 1.61

Reinforced Concrete Deck 13.28 13.28 13.28 13.28

Beams 2.60 13.55 3.03 13.55

TOTAL UNFACTORED LOAD (PER BEAM) 19.02 29.97 19.45 29.97

S I N G L E S PA N B R I D G E

D O U B L E S PA N B R I D G E

O N E S PA N G I R D E R D E S I G N

Section 10 CAN/CSA-S6-06: Canadian Highway Bridge Design Code (2006)

STEEL COMPOSITE SECTION

Mr = 7870 KN-m

Vr = 2167.5 KN

NEBT COMPOSITE SECTION

Mr = 9784 KN-m

Vr = VARIES (KN)

REFERENCES

T W O S PA N G I R D E R D E S I G N

Section 10 CAN/CSA-S6-06: Canadian Highway Bridge Design Code (2006)

REFERENCES STEEL COMPOSITE SECTION

Mr = -8368.1 KN-m

Vr = 2758.2 KN

NEBT COMPOSITE SECTION

Mr = -9336 KN-m

Vr = VARIES (KN)

P I E R C A P D E S I G N – 2 S P A N B R I D G E

P 1,BEAM P 2,BEAM P 3,BEAM P 4,BEAM

R 1,COLUMN R 2,COLUMN

F I N A L P I E R C A P D E S I G N - 2 S P A N B R I D G E

i. CROSS SECTION

ii. ELEVATION

Vf = 2405 kN

Vr = 2644 kN

Mf = -3313 Kn-m

Mr = -3440 kN-m

P I E R C O L U M N D E S I G N – 2 S P A N

F I N A L P I E R C O L U M N D E S I G N – 2 S P A N

CROSS SECTION ELEVATION

P I E R F O O T I N G D E S I G N – 2 S PA N

S c e n a r i o 1 : B r e a k F o r c e

( ɑ D ) ( D e a d L o a d ) + 1 . 7 ( L i v e l o a d )

S c e n a r i o 2 : E a r t h q u a k e

1 . 2 5 ( D e a d L o a d ) + 1 . 0 ( E a r t h q u a k e l o a d )

P I E R F O O T I N G D E S I G N – 2 S PA N

Earthquake Analysis – Simplified Method (CSA-S6-06 chapter 4)

1. Period : mode of vibration , T (seconds)

- weight of the superstructure, W

- acceleration due to gravity, g

- stiffness, k

2. Elastic seismic response coefficient (Csm)

- period, T

- soil profile, S

- zone acceleration (site specific), A

3. FEARTHQUAKE= Csm (Wsuperstructure)

4. What governs?

Mearthquake/R vs. Mplastic

P I E R F O O T I N G D E S I G N – A N A LY S I S

F I N A L P I E R F O O T I N G D E S I G N

A B U T M E N T D E S I G N – A N A L Y S I S & C H E C K S

STABILITY CHECKS: ANALYSIS:

i. overturning

ii. sliding

F I N A L A B U T M E N T D E S I G N

CROSS SECTION of ABUTMENT

D E S I G N O F B E A R I N G P L AT E S A N D

E X PA N S I O N J O I N T S Calculate total variation in length of the deck

- Expansion due to:

- Hot temperatures - Displacement under horizontal loads - Rotation under vertical loads

- Contraction due to:

- Cold temperatures - Rotation under vertical loads - Shrinkage - Creep

Total Variation = Expansion + Contraction

Chapter 11 of the Manuel de Conception des Structures, MTQ, 2012

D E S I G N O F B E A R I N G P L AT E S A N D

E X PA N S I O N J O I N T S

Chapter 11 of the Manuel de Conception des Structures, MTQ, 2012

B E A R I N G P L AT E D E S I G N

Chapter 11 of the Manuel de Conception des Structures, MTQ, 2012

F I N A L B E A R I N G P L AT E D E S I G N

Chapter 11 of the Manuel de Conception des Structures, MTQ, 2012

E X PA N S I O N J O I N T D E S I G N

J = 4 0 m m f o r S i n g l e S p a n

J = 5 0 m m f o r D o u b l e S p a n

Chapter 11 of the Manuel de Conception des Structures, MTQ, 2012

A R C H I T E C T U R A L F E A T U R E S

DAY VIEW

A R C H I T E C T U R A L F E A T U R E S

NIGHT VIEW

A R C H I T E C T U R A L F E A T U R E S

OVERPASS VIEW

C O S T A N A LY S I S

- Suggested prices were taken from the MTQ website

- Prices are provided per unit length, area, volume, kg, etc.

- Unit prices include labor cost and cost of material

- Concrete price includes formwork and finishing

- Additional considerations in the cost analysis were:

- Site preparation

- Excavation and backfill of soil

- Impermeable membrane

- Galvanized rebar

- Protection of concrete

- Concrete bearing pads

- Architectural features

C o s t o f S t e e l G i r d e r s : $ 0 . 2 2 M

( A c c o u n t s f o r 2 0 % )

To t a l P r o j e c t C o s t : $ 1 . 0 8 M

Concrete Abutments

30%

Steel Plate Girders (w/

Bracing) 20%

Site Preperation 20%

Galvanized Rebar

9%

Concrete Deck 8%

New Jersey Barriers

3%

Excavation of Soil (w/ Backfill)

2% Other

8%

Liste des prix suggérés 2013 Ministere du Transport du Quebec - Construction et Réparation

S I N G L E S PA N B R I D G E W I T H S T E E L

P L AT E G I R D E R S

Concrete Abutments

31%

NEBT 1400 Concrete Beams

18% Site Preperation

20%

Galvanized Rebar

9%

Concrete Deck 9%

New Jersey Barriers

3%

Excavation of Soil (w/ Backfill)

2%

Other 8%

Liste des prix suggérés 2013 Ministere du Transport du Quebec - Construction et Réparation

C o s t o f N E B T C o n c r e t e B e a m s :

$ 0 . 1 8 M ( A c c o u n t s f o r 1 8 % )

To t a l P r o j e c t C o s t : $ 1 . 0 3 M

S I N G L E S PA N B R I D G E W I T H N E B T

C O N C R E T E B E A M S

C o s t o f S t e e l G i r d e r s : $ 0 . 5 1 M

( A c c o u n t s f o r 2 9 % )

To t a l P r o j e c t C o s t : $ 1 . 7 3 M

D O U B L E S PA N B R I D G E W I T H S T E E L

P L AT E G I R D E R S

Steel Plate Girders (w/

Bracing) 29%

Site Preperation 20%

Concrete Abutments

18%

Concrete Deck 10%

Galvanized Rebar

7%

New Jersey Barriers

4%

Excavation of Soil (w/ Backfill)

2% Other 10%

Code Description Quantity Unit Price Total Division Total

Superstructure

614575 Asphalt Overlay 101.92 tons 170.00 $/tons $ 17,326.40

639180 Cleaning of Slab Surface 684.80 m^2 8.00 $/m^2 $ 5,478.40

639150 Impermeable Membrane 684.80 m^2 35.00 $/m^3 $ 23,968.00

634500 Concrete Deck 136.96 m^3 1,300.00 $/m^3 $ 178,048.00

635050 Galvanized Rebar 14,529.35 kg 3.40 $/kg $ 49,399.80

634720 New Jersey Barriers 46.98 m^3 1,500.00 $/m^3 $ 70,464.00

638130 Expansion Joints 10.70 m 1,500.00 $/m $ 16,050.00

637000 Steel Plate Girders (w/ Bracing) 92,788.86 kg 5.50 $/kg $ 510,338.72

637550 Laminated Bearings 16.00 units 1,800.00 $/unit $ 28,800.00

639285 Protection of Concrete 68.48 m^2 64.75 $/m^2 $ 4,434.08

$ 904,307.40

Substructure

634075 Concrete Abutments 338.12 m^3 900.00 $/m^3 $ 304,308.00

635050 Galvanized Rebar 15,312.05 kg 3.40 $/kg $ 52,060.97

631950 Concrete Bearing Pads 27.12 m^3 325.00 $/m^3 $ 8,814.00

634100 Concrete Pier Cap 10.70 m^3 950.00 $/m^3 $ 10,165.00

635050 Galvanized Rebar 1,549.99 kg 3.40 $/kg $ 5,269.95

634100 Concrete Columns 7.11 m^3 950.00 $/m^3 $ 6,756.50

635050 Galvanized Rebar 492.75 kg 3.40 $/kg $ 1,675.34

634000 Concrete Footing 29.50 m^3 400.00 $/m^3 $ 11,799.00

635050 Galvanized Rebar 2,040.12 kg 3.40 $/kg $ 6,936.41

631950 Concrete Bearing Pad 6.59 m^3 325.00 $/m^3 $ 2,141.10

639285 Protection of Concrete 209.57 m^2 64.75 $/m^2 $ 13,569.58

520150 Excavation of Soil (w/ Backfill) 1,355.11 m^3 30.00 $/m^3 $ 40,653.36

$ 464,149.21

Site Preperation (Estimated at 25% of Total Cost) $ 342,114.15

Architectural Features (Estimated at 1% of Total Cost) $ 17,105.71

Project Cost $ 1,727,676.47

Liste des prix suggérés 2013 Ministere du Transport du Quebec - Construction et Réparation

D O U B L E S PA N B R I D G E W I T H N E B T

C O N C R E T E B E A M S

C o s t o f N E B T C o n c r e t e B e a m s :

$ 0 . 3 6 M ( A c c o u n t s f o r 2 4 % )

To t a l P r o j e c t C o s t : $ 1 . 5 3 M

NEBT 1400 Concrete

Beams 24%

Concrete Abutments

20% Site Preperation

20%

Concrete Deck 11%

Galvanized Rebar

7%

New Jersey Barriers

4%

Excavation of Soil (w/ Backfill)

3%

Other 11%

Code Description Quantity Unit Price Total Division Total

Superstructure

614575 Asphalt Overlay 101.92 tons 170.00 $/tons $ 17,326.40

639180 Cleaning of Slab Surface 684.80 m^2 8.00 $/m^2 $ 5,478.40

639150 Impermeable Membrane 684.80 m^2 35.00 $/m^3 $ 23,968.00

634500 Concrete Deck 136.96 m^3 1,300.00 $/m^3 $ 178,048.00

635050 Galvanized Rebar 12,219.16 kg 3.40 $/kg $ 41,545.13

634720 New Jersey Barriers 46.98 m^3 1,500.00 $/m^3 $ 70,464.00

638130 Expansion Joints 10.70 m 1,500.00 $/m $ 16,050.00

636260 NEBT 1400 Concrete Beams 256.00 m 1,400.00 $/m $ 358,400.00

636700 Loading of Beams 4.00 units 1,000.00 $/unit $ 4,000.00

637550 Laminated Bearings 16.00 units 1,800.00 $/unit $ 28,800.00

639285 Protection of Concrete 68.48 m^2 64.75 $/m^2 $ 4,434.08

$ 748,514.01

Substructure

634075 Concrete Abutments 338.12 m^3 900.00 $/m^3 $ 304,308.00

635050 Galvanized Rebar 15,312.05 kg 3.40 $/kg $ 52,060.97

631950 Concrete Bearing Pads 27.12 m^3 325.00 $/m^3 $ 8,814.00

634100 Concrete Pier Cap 10.70 m^3 950.00 $/m^3 $ 10,165.00

635050 Galvanized Rebar 1,549.99 kg 3.40 $/kg $ 5,269.95

634100 Concrete Columns 7.11 m^3 950.00 $/m^3 $ 6,756.50

635050 Galvanized Rebar 492.75 kg 3.40 $/kg $ 1,675.34

634000 Concrete Footing 29.50 m^3 400.00 $/m^3 $ 11,799.00

635050 Galvanized Rebar 2,040.12 kg 3.40 $/kg $ 6,936.41

631950 Concrete Bearing Pad 6.59 m^3 325.00 $/m^3 $ 2,141.10

639285 Protection of Concrete 209.57 m^2 64.75 $/m^2 $ 13,569.58

520150 Excavation of Soil (w/ Backfill) 1,355.11 m^3 30.00 $/m^3 $ 40,653.36

$ 464,149.21

Site Preperation (Estimated at 25% of Total Cost) $ 303,165.80

Architectural Features (Estimated at 1% of Total Cost) $ 15,158.29

Project Cost $ 1,530,987.31

Liste des prix suggérés 2013 Ministere du Transport du Quebec - Construction et Réparation

R E C O M M E N D AT I O N 1 S PA N

Modulus of Elasticity: 200GPa

Unit Price: $5.50/kg

Cost of Steel Plate Girders: $0.22M

Compressive Strength: 50 MPa

Strength of Prestressed Strands:1860 MPa

Unit Price: $1,400/m

Cost of NEBT Concrete Beams: $0.18M

S t e e l P l a t e G i r d e r s

N E B T C o n c r e t e B e a m s

PROJECT COST: $1.03M PROJECT COST: $1.08M

14

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R E C O M M E N D AT I O N 2 S PA N

Modulus of Elasticity: 200GPa

Unit Price: $5.50/kg

Cost of Steel Plate Girders: $0.51M

Compressive Strength: 50 MPa

Strength of Prestressed Strands: 1860 MPa

Unit Price: $1,400/m

Cost of NEBT Concrete Beams: $0.36M

S T E E L P L AT E B E A M S

N E B T C O N C R E T E B E A M S

PROJECT COST: $1.52M PROJECT COST: $1.72M

14

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Week Tasks Group Members

Abram Aram Marlene Michael Sarah

1 & 2 SF and BM Envelopes for One and Two-Span Bridge due to Dead Load X X X X X

1 & 2 SF and BM Envelopes for One and Two-Span Bridge due to Live Load X X X X X

3 Total Factored SF and BM Envelopes for One and Two Span Bridge X X X X X

7 Design of Steel Girder X X

5 Design of Deck X

7 Design of Prestressed Concrete Beams X X

5 Design of Pier Cap X

7 Design of Columns X X

7 Design of Foundations X

8 Design of Abutments X

8 Design of Bearings X

8 Design of Expansion Joints X

9 Incorporation of Earthquake Loading in Design of Two-Span Bridge X

10 Optimization of Members X X X X X

10 3D Modelling of Structure X

10 Rendering of Structure X

10 Implementation of Architectural Features X X

10 Cost Analysis X

TA S K S U M M A RY

T H A N K Y O U