1 V 1.1 – Rev. 12.03.07 AASHTO- Load and Resistance Factor Design (LRFD) Introduction to Decks and Deck Systems Ed Skrobacz, P.E. and Walter Hucal, P.E. Credits The content for this class has been provided by the following PB employees: If you have any questions about the content of this course please contact Ed Skrobacz. If you have any technical difficulties, please contact your IT Help Desk.
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V 1.1 – Rev. 12.03.07
AASHTO- Load and Resistance Factor Design (LRFD)
Introduction to Decks and Deck Systems
Ed Skrobacz, P.E. and Walter Hucal, P.E.
Credits
The content for this class has been provided by the following PB employees:
If you have any questions about the content of this course please contact Ed Skrobacz. If you have any technical difficulties, please contact your IT Help Desk.
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• As with all of our LRFD courses, you may download a PDF version of this course for your future reference.
• Click on the ATTACHMENTS link located in the upper right corner of this course window to access the document and save the file to your desktop.
Download Information
Successful Completion
• After completing the content within the class you will be asked to take a final test to ensure that you mastered the key training objectives.
• You will need to make a minimum scoreof 80% to receive credit for passing the class.
• Successful completion of the class will earn 0.1 IACET CEU.
• Please refer to your state’s specific continuing education requirements regarding applicability.
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Curriculum
• Foundations
• Decks & Deck Systems
• Joints and Bearings
• Abutments, Piers, and Walls
• Railings
• Introduction to LRFD
• Loads and Load Factors
• Concrete Structures
• Steel Structures
• Buried Structures
This class is the seventh class in the Structures TRC curriculum for LRFD Design, developed internally at PB. The curriculum focuses on the following ten areas of major change introduced by the LRFD Bridge Design Specifications:
Class Objectives
1. What is new or changed in the latest AASHTO LRFD Specification.
2. The three (3) STATIC analysis methods cited within the 2007 ( 4th Edition ) of the AASHTO LRFD Design Specifications (ENGLISH Edition).
3. Selected code provisions to consider when designing a deck or a deck system.
4. How to complete a simple example for a reinforced concrete deck slab design.
5. Resources and alternate examples available to designers and engineers.
After completing the course you will be able to identify:
This class will review material at an introductory level. The user is cautioned that the covered material is for regular slabs with regular geometry. It is anticipated that the class will take you approximately 90 minutes to complete.
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Class Outline
• Introduction• General Design Considerations • Types of Decks• Methods of Design
• Empirical Design Method• Other Design Methods (Refined Methods)
• Reinforced CIP Concrete Deck Slab Example using the Strip Method
• Metal Deck Systems • Wood Decks • References• Conclusion
Topic 1Decks and Deck Systems
Introduction
Topic 1
Narrated by Walter Hucal
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Introduction – What’s New or Changed
Code and Commentary side by side
Notations have changed, stress f (this change eliminates confusion with σ = standard deviation as used in the calibration resistance factor) and φ has changed from the “strength reduction factor” to “resistance factor”.
Code Commentary
• Units have changed from psi to ksi
• Changes to minimum concrete slab thickness
• Changes to load factors & load groups
• Changes to the design live load
• Changes to live load distribution/methodology
• New Analysis and Design Methods
• Lightweight Concrete Provisions
• New Crack Control Provisions
• New Guidance on Bar Cutoffs
• Shear Analysis by Sectional Method (MCFT)
Introduction – What’s New or Changed
LRFD Changes
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Introduction – What’s New or changed
• Max & Min Reinforcement requirements have been revised
• New Resistance Factor Φ based in structural behavior (i.e. strain)
• There is a new Section 4 which deals with STATIC structural analysis of decks
• Railing / Overhang design has been revised. (Section 13 and Appendix)
• New approximate formulas are provided for live load force effects for fully / partially filled grids & unfilled grid decks composite with reinforced concrete deck slabs
Additional Changes
Class Outline
• Introduction • General Design Considerations • Types of Decks• Methods of Design
• Deck Drainage:Provide longitudinal slopes and cross slopes (2.6.6.3., 9.4.2). Design and detailing of deck drainage near deck joints.Avoid scuppers on bridges if possible!
• Deck Appurtenances:Function to safely direct traffic on a bridge
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General Design Considerations
Edge Supports:Provide at lines of discontinuity (9.4.4)
General Design Considerations
Stay in Place (SIP) formwork may be used to support the uncured deck. SIP formwork should not be used in the overhang portion of concrete decks. SIP forms are designed to behave elastically. (Article 9.7.4.1). Metal forms are designed to:
A) Support the Form & Deck Self Weights
B) Support the Deck Reinforcement Steel
C) Support the Concrete in the Valleys of the Formwork
D) Support a 50 psf Construction Service Load
E) Limit Dead Load Deflection from A, B & C above to:
• L / 180 or ½ in for forms with span lengths up to 10 ft.• L / 240 or ¾ in for forms with span lengths above 10 ft.
F) Develop flexural stresses due to construction service loads of 0.75 Fy OR 0.65 f’c OR fr for prestressed concrete form panels.
• Empirical Design Method• Other Design Methods (Refined Methods)
• Reinforced CIP Concrete Deck Slab Example using the Strip Method
• Metal Deck Systems • Wood Decks • References• Conclusion
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Approximate Methods of Design – Strip Method
APPROXIMATE DESIGN METHODS – Strip Method (4.6.2)
• Section 4 provides general information and applicability of approximate methods.
• Provides formulas for calculating the strip widths for various types of decks.
• Provides information on the distribution of wheel loads, live load force effects and cross sectional frame distributions.
Approximate Design Method (The Strip Method)
A. The deck is subdivided into theoretical live load design strips that are perpendicular to the supporting structural components. The strips may be interior or edge strips (Notational Edge Beam). The strips may also be longitudinal or transverse.
Can be used for all deck types EXCEPT: (Article 4.6.2.1.1)
1.) Fully filled and partially filled composite grid decks
2.) The top slabs of segmental concrete box girders
Important items to consider when using this method include:
For CIP Concrete deck with SIP FormsTD
Approximate Methods of Design – Strip Method
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B. Place truck or tandem on deck to get the maximum effect. The maximum effect is then applied on the corresponding strip width to obtain effects on a unit basis.
C. Use the max. positive moment for design in all positive moment regions.
D. Use the max. negative moment for design in all negative moment regions.
E. May use other design aids for decks containing prefabricated elements.
F. For slab type bridges, such as CIP slab or stressed wood deck which are reinforced longitudinally and the span length is more than 15 ft., the provisions of AASHTO section 4.6.2.3 must be applied.
G. When the deck spans in the direction of traffic ( parallel ), LL strips shall:
< = 40 in. wide for open grids
<= 144 in. (12 ft.) for all other decks with multilane loading
Approximate Methods of Design – Strip Method
H. Instead of performing a 3-D FE Analysis & determining strip widths to get the live load moment effects, AASHTO provides a deck slab design table in the Appendix to Chapter 4. The assumptions used to develop this table include:
Moments computed using the equivalent strip method
Moments apply to concrete slabs / parallel girders
Multiple presence factors are included
Dynamic load allowance is included
Moments are for decks supported on at least 3 girders
Table A4-1-maximum live load moments per unit width
Approximate Methods of Design – Strip Method
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I. When spacing of support in secondary direction > 1.5 X spacing of support in primary direction – one way slab action prevails and all appropriate wheel loads shall be applied in the primary strip direction and distribution reinforcement shall be included in the secondary direction as per article 9.7.3.2.(for Conc. slabs ) as follows:
In which: S = the effective span length taken as equal to the effective length specified in article 9.7.2.3
Approximate Methods of Design – Strip Method
J. If support spacing in secondary direction < 1.5 X primary support spacing then model 2 way slab as a series of intersection strips. The wheel load distribution = stiffness of strip / total stiffness intersecting strips.
In which the strip stiffness is computed as :
Ks = E Is / S
Is = Moment of Inertia of the Strip
S = Spacing of the Supporting Components
K. It is possible to treat strip as a continuous beam or a simply supported beam as required.
L. Wheel loads shall be treated as concentrated loads or patch loads of intensity of P / Tire Contact Area ( 20 in. X 10 in. ).
Approximate Methods of Design – Strip Method
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Nomenclature
M. Interior Strip Widths for Concrete Deck Slabs
Or use AASHTO 3.6.1.3.4
For Parallel Strips
width < 144in when multiple lanes are being investigated
Approximate Methods of Design – Strip Method
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Approximate Methods of Design – Deck Overhang Design
Deck Overhang Design Cases
Also:• Vehicular collision forces are as specified in Article 13. • Deck overhang resistance > resistance of bridge barrier
Typical Cross Section
7.3ft
Gutter Line
Approximate Methods of Design – Deck Overhang Design
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Collision Moment Distribution for the first bay design section
Approximate Methods of Design – Deck Overhang Design
Design Case 1 At Inside Face of Barrier
A. Compute Mu per unit length including the deck & barrier weights and the barrier moment capacity at the base.
B. Compute the axial force for unit length in the overhang as the total transverse resistance of the barrier divided by the critical length of the yield line failure pattern plus 2 times the height of the barrier (i.e.):
C. Calculate the required reinforcement using LRFD reinforced concrete design methods.
Approximate Methods of Design – Deck Overhang Design
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Design Case 1 At Design Section for the Overhang
A. Compute Mu per unit length including the deck, barrier and future wearing surface and the barrier moment capacity at the base. Thebarrier moment capacity in the critical length Lc is adjusted by distributing on the critical length plus 30 deg end distributions as illustrated in an earlier slide.
B. Compute the axial force for unit length in the overhang as the total transverse resistance of the barrier divided by the critical length Lc plus 2 times the height of the barrier plus 30 degree end distributions (i.e., for our simple example):
C. Calculate the required reinforcement using LRFD reinforced concrete design methods.
Approximate Methods of Design – Deck Overhang Design
Design Case 1
At Design Section for the First Bay (See Previous Sketch)
A. Extract M1 and M2 values per unit length for barrier self weights from the deck design.
B. Set the value for M1 due to collision equal to the barrier moment capacity per unit at the base.
C. Calculate M2 per unit length due to collision by similar triangles assuming M1 / M2due to barrier weight = M1 / M2 due to collision. Determine Mu per unit length at the design section by interpolation or simply assume it to be equal to M1 due to collision (Conservative).
D. Distribute MU due to collision ( the adjusted barrier moment capacity ) in thecritical length Lc by the critical length plus 30 degree end distributions.
E. Compute Mu per unit length including the deck, barrier and future wearing surface weights and the adjusted barrier moment capacity just computed.
F. And then :
Approximate Methods of Design – Deck Overhang Design
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F. Compute the axial force per unit length in the first bay section as the total transverse resistance of the barrier divided by the critical length of the yield line failure pattern plus 2 times the height of the wall plus 30 degree end distributions (i.e for our simple example).
G. Calculate the required reinforcement using LRFD reinforced concrete design methods.
Approximate Methods of Design – Deck Overhang Design
Design Case 2For concrete barriers, the case of vertical collision force never controls.
Design Case 3At Design Section for the OverhangA. Determine the equivalent strip width as has been illustrated in the previous
section.
B. Compute the LL & I Moment using a multiple presence factor of 1.2 for one lane loaded, a dynamic load allowance of 0.33 and a wheel load as shown in the previous illustration. This moment shall be distributed on the computed strip width.
C. Determine Mu per unit length which includes the deck, barrier and future wearing surface weights already computed in Case 1 and also the newly computed MLLI value.
D. Calculate the required reinforcement using LRFD reinforced concrete design methods.
Approximate Methods of Design – Deck Overhang Design
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Design Case 3At Design Section for the First Bay
A. Extract the dead and live load moments at this location from the deck slab design.
B. Determine the equivalent strip width at the centerline of the fascia girder.
C. Compute the Moment per unit length due to live load and dynamic load allowance by dividing the live load effect by the equivalent strip width just determined in the previous step.
D. Determine the MU per unit length which includes the deck, barrier and future wearing surface weights already computed in Case 1 and also the newly computed MLLI value.
E. Calculate the required reinforcement using LRFD reinforced concrete design methods.
Approximate Methods of Design – Deck Overhang Design
Final Computations
After determining the most critical required reinforcement to satisfy all design cases, select the reinforcement. Then, the following final computations will need to be developed:
• Minimum reinforcement checks and confirmation of the previouslyassumed resistance factor φ
• Serviceability ( i.e. crack control)
• Computation of reinforcement cutoffs and development if required
Approximate Methods of Design – Deck Overhang Design
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Class Outline
• Introduction • General Design Considerations • Types of Decks• Methods of Design
• Empirical Design Method• Other Design Methods (Refined Methods)
• Reinforced CIP Concrete Deck Slab Example using the Strip Method
• Metal Deck Systems • Wood Decks • References• Conclusion
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Empirical Design Method
Requirements Include:
1. Applies to Concrete Deck Slabs supported by longitudinal components.
2. Design slab depth excludes loss due to grinding, saw cut grooving, or wear.
3. Cross frames / diaphragms must be used at all lines of Support.
4. For decks with Torsionally Stiff superstructure units such as separated box beams, must provide diaphragms between the boxes at 25 ft maximum OR provide supplemental reinforcement over the girder webs to accommodate transverse bending between the boxes.
5. Supporting superstructure components must be made of steel or concrete.
6. Deck must be fully cast in place and water cured.
7. The deck must generally be of uniform depth.
8. The Effective Length / Design Depth Ratio should be between 6 and18.
9. Core depth not less than 4 in.
10. Effective length shall not exceed 13.5 ft.
11. The minimum slab depth is not less than 7 in. including wearing surface.
12. There is an overhang on each fascia of at least 5 times the depth of the slab OR 3 times the depth of the slab if there is a concretecomposite continuous barrier.
13. f’c of concrete deck is not less than 4 ksi.
14. Deck is composite with the superstructure with a minimum of 2 shear connectors every 24 in.
Empirical Design Method
Requirements, cont.
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15. Four layers of reinforcement shall be provided.
16. ( 0.27 in2 / ft ) minimum As for each bottom layer.
17. ( 0.18 in2 / ft ) minimum As for each top layer.
18. Bar spacing < = 18 in.
19. Fy= 60 ksi Min.
20. Straight Bars, Hooks, Lap splices, Mech. couplers allowed.
21. SIP forms are not allowed with Empirical design.
22. For skews > 25 deg, double reinforcement in the end zones.
Empirical Design Method
Requirements, cont.
(For the Approx. Method)
Note: Traditional Design Methods include the Approximate and Refined Methods
Empirical Design Method
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Other Design Methods (Refined Methods)
REFINED METHODS OF ANALYSIS (4.6.3)Any method that satisfies equilibrium & compatibility requirements, uses stress / strain relationships and considers flexural and torsional deformations may be used including:
• Force and Displacement methods
• Finite Difference Method
• Finite Element Method
• Folded Plate Method
• Finite Strip Method
APPENDIX A4 DECK SLAB DESIGN TABLEFor reinforced concrete slabs – valid if limitations are satisfied
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Class Outline
• Introduction • General Design Considerations • Types of Decks• Methods of Design
• Empirical Design Method• Other Design Methods (Refined Methods)
• Reinforced CIP Concrete Deck Slab Example using the Strip Method
• Metal Deck Systems • Wood Decks • References• Conclusion
Reinforced CIP Concrete Deck Slab Example using the Strip Method
Example Bridge Deck Design Problem Using the Strip Method
Problem Information: Superstructure Type: R.C. Deck w/Multi-Span continuous Composite Steel GirdersWidth: 46’-10½ “ total, 44’-0” gutter to gutter Appurtenance: Type F Parapets Skew: No Skew Girder Spacing : 5 -100’ Long, 48in deep Simple Span Steel Girders @ 9’-9” center to centerRebar Cover : Top cover = 2 ½ in. (5.12.3 includes ½ in. integral wearing surface), Bottom cover = 1 in. (5.12.3 )Properties: f’c = 4ksi, Fy = 60ksi, Concrete Density = 145 pcf, 2 ½ in bituminous Future wearing surface = 140 pcf (3.5.1-1) Requirements :
Design the Deck using the Strip Method in accordance with the AASHTO LRFD Specifications.
The specifications require that the minimum thickness of a concrete deck, excluding any provisions for grinding, grooving and sacrificial surface should not be less than 7 in. ( 9.7.1.1).
Most state Jurisdictions require a minimum deck slab thickness of 8 in. (including a ½ in. integral wearing surface).
The controlling live load moments for this example are presented in Table 3. Multiple Presence factors have been included in the values shown in the table but dynamic load allowances have not been included.
Table 3 Controlling Live Load Moments
Using the values presented in Table 3, the maximum controlling positive moment is 36.76 Kip Ft as shown , which is based on one truck and an m value of 1.20. The maximum controlling negative moment as shown is -29.40 K Ft which is based on two trucks and an m value of 1.00
X = 2.50 ft – 1.0 ft ( From Curb ) = 1.50 ft & S = 9.75 ft.
The dead load moments in tables 1 & 2 are in units of K ft/ ft while the live load moments in table 3 are in K-ft. Now divide the live load moments by the strip width illustrated below in Figure 1
Figure 1 Equivalent Strip Widths
In Figure 1, X represents the distance from the load to the point of support and S represents the spacing of the supporting components , each measured in units of feet. The equivalent strip width is then computed in units of inches.
Check Minimum Reinforcement Requirements for Flexure (5.7.3.2)
AASHTO requires the Factored Flexural resistance of the section Mn to be at least equal to the LESSER of 1.2 times the cracking moment Mcrdetermined on the basis of elastic stress distribution OR 1.33 times the factored moment. Calculation by LRFD Concrete design methods yield:
Check AASHTO Crack Control Provisions (Not for Empirical Method )
The crack control provisions are newly updated within the LRFD code and are based upon research done by Frosch (2001). The current LRFD code requirements are as follows: (5.7.3.4)
Bottom Transverse Reinforcement
8” 8” 8”
8.5in
#5@6 in
The spacing “s” of the mild steel reinforcement in the layer closest to the tension face shall satisfy the following equation
Design Step 8 – Design the Deck for Negative Flexure
Repeat the Design Steps used in Step 7 with Negative Moment and select #5 @ 6 in Top Negative Reinforcement.
Design Step 9 – Select Distribution Reinforcement
Distribution Reinforcement is placed in the bottom of the deck and is computed as a percentage (%) of the primary reinforcement for positive moment. (9.7.3.2). For primary reinforcement perpendicular to traffic, the distribution reinforcement is:
• Empirical Design Method• Other Design Methods (Refined Methods)
• Reinforced CIP Concrete Deck Slab Example using the Strip Method
• Metal Deck Systems• Wood Decks • References• Conclusion
Wood Decks
Wood Decks and Deck Systems• Glue Laminated (9.9.4)
• Stress Laminated (9.9.5)
• Spike Laminated (9.9.6)
• Plank Decks (9.9.7)
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Wood Decks may be required to satisfy the following:
• Nominal Deck Thickness ( 9.9.2 )( At least 6 inches or 4 inches for plank deck roadways )
• Approximate Analysis ( 9.9.3 )
• Refined Methods ( 9.9.3 )
• Shear Design ( 9.9.3.2 )
• Deformation ( 9.9.3.3 )
• Wearing Surface ( 9.9.8 )
Wood Decks
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• Standard plans for Timber Highway Sructureshttp://www.fpl.fs.fed.us/documnts/pdf1996/lee96b.pdf
• NHI Course 130081,130081A-130081D Course notes for Load and Resistance Factor design for Highway bridge superstructures –Revised April 2007, Michael Baker, Moon Township, PA
• AASHTO Subcommittee on Bridges and Structures – Downloads –excellent resource on example LRFD problemshttp://bridges.transportation.org/?siteid=34&c=downloads
• Various State DOT Websites
• LRFD Design Example for Steel Girder Superstructure Bridge, Michael Baker, Moon Township, PA, December 2003 FHWA NHI -04-041
• Reinforced Concrete Slab Design Using the Empirical Method by Bridge Sight Solutions for the AASHTO LRFD Bridge Design Specifications –Publication No. BSS09011999-1
• US Department of Transportation Federal Highway Administration Bridge Technology – LRFD Product List – a valuable list of available LRFD Resources http://www.fhwa.dot.gov/bridge/lrfd/products.cfm
References
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Final Assessment
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