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1 Método de diseño de espesores para construcciones nuevas TALLER DE DISEÑO DE PAVIMENTOS DE CONCRETO November 7, 2014 Robert Rodden, P.E. Senior Director of Pavement Technology Design Methods Countries with Concrete Pavements Argentina Australia Austria Belgium Bolivia Brazil Canada Chile China Costa Rica Czech Republic Dominican Republic Ecuador El Salvador France Germany Ghana Guatemala Honduras India Indonesia Iran Italy Japan Kenya Kingdom of Bahrain Mexico Netherlands New Zealand Nicaragua Norway Pakistan Peru Poland Portugal Puerto Rico Russia South Africa South Korea Spain Sweden Switzerland Taiwan Thailand Turkey Uruguay United Kingdom USA … ACPA’s apps.acpa.org has been accessed in over 140 countries! Certainly we have many design methods!!! SOME of the Design Variety AASHTOWare Pavement ME USA, Canada AASHTO 93/WinPAS USA, Canada, most of South & Central America, etc. TCPavements OptiPave Chile, Guatemala, Peru cncPave South Africa VENCON2.0 Belgium, Netherlands Custom Catalog Germany, India, Poland ACPA StreetPave (previously the PCA Method) Australia, Portugal, USA (“approved” in MN and VA), Canada, Uruguay IP-07/2004 Brazil CHAUSSEE2 Canada FAARFIELD, AirPave, ACI 330, BCOA, CO 6x6x6, custom method, etc. USA US Practices are Changing Summary of State Agency practice in 2005: At the end of 2013, 41 state agencies had performed ME Design calibration and implementation efforts, indicating a relatively quick shift from AASHTO 93. Design Method Used Percent of Responding Agencies State Agency AASHTO 72/86/93 85% AR, AZ, DE, FL, ID, IN, IA, KS, MD, MI, NV, NC, OH, OK, SC, SD, TN, UT, VA, WA, WV, WI, WY AASHTO MEPDG 4% MO PCA Method 7% HI, IN, IA State-Developed 11% IL, MT U.S. Roadway Length (lane miles) State Agency, 19% County, 44% Town, 32% Other, 1% Federal, 3% Source: HM-10, 2012 FHWA Highway Statistics AASHTO tools are being developed for these owners… City, county, and other local engineers need to decide what to use locally because Pavement ME will not trickle down due to its cost and complexity!
Transcript

1

Método de diseño de espesores para construcciones nuevas

TALLER DE DISEÑO DE PAVIMENTOS DE

CONCRETO

November 7, 2014

Robert Rodden, P.E.

Senior Director of Pavement Technology

Design Methods

Countries with Concrete Pavements

ArgentinaAustraliaAustriaBelgiumBoliviaBrazilCanadaChileChinaCosta RicaCzech RepublicDominican RepublicEcuadorEl SalvadorFranceGermanyGhana

GuatemalaHondurasIndiaIndonesiaIranItalyJapanKenyaKingdom of BahrainMexicoNetherlandsNew ZealandNicaraguaNorwayPakistanPeruPoland

PortugalPuerto RicoRussiaSouth AfricaSouth KoreaSpainSwedenSwitzerlandTaiwanThailandTurkeyUruguayUnited KingdomUSA… ACPA’s apps.acpa.org has been accessed in over 140 countries!

Certainly we have many design methods!!!

SOME of the Design Variety

AASHTOWare Pavement ME USA, Canada

AASHTO 93/WinPASUSA, Canada, most of South & Central America, etc.

TCPavements OptiPave Chile, Guatemala, PerucncPave South Africa VENCON2.0 Belgium, NetherlandsCustom Catalog Germany, India, Poland

ACPA StreetPave (previously the PCA Method)

Australia, Portugal, USA (“approved” in MN and VA), Canada, Uruguay

IP-07/2004 BrazilCHAUSSEE2 CanadaFAARFIELD, AirPave, ACI 330, BCOA, CO 6x6x6, custom method, etc.

USA

US Practices are Changing

Summary of State Agency practice in 2005:

At the end of 2013, 41 state agencies had performed ME Design calibration and implementation efforts, indicating a relatively quick shift from AASHTO 93.

Design Method Used

Percent of Responding Agencies

State Agency

AASHTO 72/86/93

85%AR, AZ, DE, FL, ID, IN, IA, KS, MD, MI, NV, NC, OH, OK, SC, SD, TN, UT, VA, WA, WV, WI, WY

AASHTO MEPDG 4% MOPCA Method 7% HI, IN, IA

State-Developed 11% IL, MT

U.S. Roadway Length (lane miles)

State Agency,

19%

County, 44%

Town, 32%

Other, 1% Federal, 3%

Source: HM-10, 2012 FHWA Highway Statistics

AASHTO tools are being developed for these owners…

City, county, and other local engineers need

to decide what to use locally because

Pavement ME will not trickle down due to its

cost and complexity!

2

Design Method Basis

Mechanistic – Purely scientific and based on measured, defendable scientific rules and laws

Empirical – Based on observations or experimentation and requires a lot of tests to connect all the relationships

/ ∆L α ∗ ∆ ∗

U.S. Design Standards for Roadways

AASHTOWarePavement ME (previously known as DARWin-ME and MEPDG)

AASHTO 93 (software as ACPA WinPAS)

ACPA StreetPave

325 & 330

AASHTO 93/WinPASacpa.org/winpas

AASHO Road Test (1958-1960)

Included 368 concrete and 468 asphalt sections | focus was highway pavement

Included a wide range of axle loads and pavement cross-sections

Design first introduced in 62, revised several times thereafter until 93 version

EMPIRICAL

Typical AASHO Loop LayoutTangent = 6,800ft (2km)

368 rigid sections

468 flexible sections

Subgrade = Clay Soil

3

AASHO Test Traffic

Max Single Axle

Max Tandem Axle

Performance Metric

Some AASHO Results – Loop 2

…1,114,000 load applications to end

Some AASHO Results – Loop 2

Some AASHO Results – Loop 4 Some AASHO Results – Loop 4

4

Some AASHO Results – Loop 6 Some AASHO Results – Loop 6

Performance Estimated Subjectively

Present Serviceability Index (PSI)4.0 – 5.0 = Very Good

3.0 – 4.0 = Good2.0 – 3.0 = Fair

1.0 – 2.0 = Poor0.0 – 1.0 = Very Poor

“Failure” at the Road Test considered @ 1.5

Typical U.S. state agency terminal serviceability in practice = 2.5

Note on Inference Space of ‘93

Data Limits(AASHO Road Test)

CurrentDesigns>100 million

<2 million

AXLE LOAD REPETITIONS

PAVEM

ENT

THIC

KN

ESS

Current design traffic is far beyond AASHO road test limits

Don’t Just Take My Word…“The current design guide and its predecessors were largely based on design equations empirically derived from the observations AASHTO’s predecessor made during road performance tests completed in 1959-60. Several transportation experts have criticized the empirical data thus derived as outdated and inadequate for today’s highway system. In addition, a March 1994 DOT Office of Inspector General report concluded that the design guide was outdated and that pavement design information it relied on could not be supported and validated with systematic comparisons to actual experience or research.”

…this is why Pavement ME exists!

5

46.8

7

)1(10*624.1

1

5.15.406.0)1(*35.7*)(

D

PSILog

DLogsZESALLog oR

25.075.0

75.0'

)/(42.18

**63.215

)132.1(***)*32.022.4(

kEDJ

DCSLogp

c

dct

Standard Normal Deviate

OverallStandard Deviation Thickness

Change in Serviceability

Terminal Serviceability

DrainageCoefficient

Load Transfer

Modulus ofRupture

Modulus of Elasticity

Modulus ofSubgrade Reaction

1986-93 Concrete Pavement Equation

10 Inputs.Solve for 11th

Traffic

Rigid Design Nomograph

WinPAS Makes it Easy

MEPDG / DARWin-ME /AASHTOWare Pavement ME

AASHTOWare Pavement ME Design

15+ years in the making

Design method and software not “perfect”; not intended to be a “final” product

Complex and relatively costly

Requires local calibration to work correctly

Models were not developed for street, road, parking lot, etc.

ME DesignMECHANISTIC -

EMPIRICAL

=+Mechanistic Calculation

of Responses

Empirical Tie to

Ground

Pavement Performance Prediction

6

JPCP Calibration – BIG INF. SPACE!

LTPP GPS-3 & RPPR JPCP Sections LTPP SPS-2, MnROAD, & AASHO JPCP Sections

AASHTO 93 vs. ME

AASHTO Pavement ME

AASHTO 93

50+ million load reps

1.1 million load reps

Wide range of structural and rehabilitation designs

Limited structural sections

1 climate/2 years

All climates over 20-50 years

1 set of materials

New and diverse materials

Sounds Easy Enough, Right? MECHANISTIC -

EMPIRICAL INPUTS, INPUTS, INPUTS!!!!

INPUTS, INPUTS, INPUTS!!!! Notes on ME ESALs

Output in a .txt file and not included on report

TRB 2014:“Approaches to Relate Cumulative Traffic Loading to Performance for Pavements Designed Using MEPDG”

“Investigation of ESALs vs. Load Spectra for Rigid Pavement Design”

ESALs/Truck TTC 1 1.69TTC 2 1.57TTC 3 1.82TTC 4 1.43TTC 5 1.90TTC 6 1.26TTC 7 1.63TTC 8 1.83TTC 9 1.16

TTC 10 1.46TTC 11 1.85TTC 12 1.05TTC 13 1.55TTC 14 0.83TTC 15 1.04TTC 16 1.33TTC 17 1.03

7

What’s the Concern in ME?

Just as rigid and flexible ESALs are different because of their different response…

Single, tandem and tridem axle groups (and at differing loads) cause differing relative damages

Single-axles usually cause more fatigue damage

Tandem and tridem axles usually cause more erosion damage

… so even within just rigid pavement design, ESAL count for same traffic spectrum and # of trucks in the design lane is really different for each distress type modeled!?!

OUTPUTS, OUTPUTS, OUTPUTS!!!

Simpler ME Option: MnDOT Drainage in ME Design

“The current state of the art is such that conclusive remarks regarding the effectiveness of pavement subsurface drainage or the need for subsurface drainage are not possible.”

… so we must rely on field studies:• Subbase stiffness matters more than

drainage for JPCP performance• Although excess moisture and poor

drainage was shown to be detrimental to pavement performance in the past, current designs are less susceptible to moisture damage (thicker sections, improved materials, widespread use of dowels, etc.)

Impact of Hurricane Katrina on Roadways in New Orleans

Louisiana DOT study looked at impact of flooding and overloads from relief effort on pavements

Used FWD, GPR, DCP, coring, etc. to assess structure“…asphalt pavements had strength loss equivalent to about two inches of new asphalt concrete…Very little relative damage was detected for the PCC pavements.”

Top 10 ME Design Most Sensitive

1. Concrete Flexural Strength at 28-Days

2. Concrete Thickness

3. Surface Shortwave Absorptivity (SSA)

4. Joint Spacing

5. Concrete Modulus of Elasticity at 28-Days

6. Design Lane Width with a 14 ft (4.3 m) Widened Slab

7. Edge Support via Widened Slab

8. Concrete Thermal Conductivity

9. Concrete Coefficient of Thermal Expansion (CTE)

10. Concrete Unit Weight

Red = only ME Design input… the VALUE of the software!Blue + Bold = common for all

8

Implementation in the US @ Jan 2014

Implementation work underway

Nearing Implementation

No Plans / No information

Using Pavement-ME

AlaskaHawaii

8 states have either fully or partially implemented

StreetPave/PCA Methodacpa.org/streetpave

StreetPave’s Origins

PCA thickness design methodology for JPCPfirst published in 1966

used slab stress/fatigue asthe sole design criterionfor determining thickness

updated in 1984failure by erosion (pumping)

edge support

MECHANISTIC -EMPIRICAL From PCA Method to StreetPave

StreetPavereleased in 2005 by ACPA

tailored for streets and roads

improvements included:enhanced concrete fatigue model w/reliability component

ability to analyze tridem axles in the traffic spectrum

new recommendations for dowel bars, joint spacing, subgrade/subbase moduli, etc.

side-by-side design comparison to asphalt sections

StreetPave12

StreetPave12released in 2012 by ACPA

tailored for streets and roads

improvements included:compatibility with 64-bit processors

force undoweled design

overlay designs

improvement of subgrade/subbase characterization

inclusion of fibers in all concrete designs

improved traffic characterization; save custom traffic spectrum

ACI 330 traffic spectrums

clarified help screens

Failure Modes Considered

9

Total trucks in design lane over the design life… calculated from trucks/day (2-way), traffic growth rate (%/yr), design life (yrs), directional distribution (%) and design lane distribution (%)

Traffic Spectrum + CountsSingle Axles

Axle Load (kip) Axles/1,000 Trucks

34 0.19

32 0.54

30 0.63

28 1.78

26 3.52

24 4.16

22 9.69

20 41.82

18 68.27

16 57.07

Tandem Axles

Axle Load (kip) Axles/1,000 Trucks

60 0.57

56 1.07

52 1.79

48 3.03

44 3.52

40 20.31

36 78.19

32 109.54

28 95.79

24 71.16

Equivalent stress at the slab edge:

Me = equivalent moment, psi; different for single, tandem, and tridem axles, with and without edge support - func on radius of relative stiffness, which depends on concrete modulus, Poisson’s ratio, and thickness and the k-value

hc = pavement thickness, in.

f1 = adjustment for the effect of axle loads and contact area

f2 = adjustment for a slab with no concrete shoulderf3 = adjustment to account for the effect of truck (wheel) placement at the slab edge

f4 = adjustment to account for approximately 23.5% increase in concrete strengthwith age after the 28th day and reduction of one coefficient of variation (COV) to account for materials variability

Traffic Loads Generate Stresses

6 ∗2 ∗ 1 ∗ 2 ∗ 3 ∗ 4  

Stress Ratio (SR) = Stress / Concrete Strength

Limit Stress Ratio to Allow Design Reps

0.4

0.5

0.6

0.7

0.8

0.9

1

1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06 1.E+07 1.E+08 1.E+09 1.E+10

Str

ess

Rat

io

Repetitions

Fatigue Data

StreetPave R=95%

Inference space normalized to SR

StreetPavemakes slab thicker to limit stress ratio low enough to achieve the design traffic repetitions

A Conservative Approach!

StreetPave fatigue calculation should be conservative relative to ME Design because:

Size Effects – Slabs have a greater fatigue capacity than beams

Support – The beam test has a k-value for support of 0 psi/in.!

L/3Span Length = L

d=L/3

…versus…

Faulting Design in StreetPave

If dowels used, faulting mitigated & fails by cracks

No faulting data collected at the AASHO road test so model developed in 1980s using field performance data from WI, MN, ND, GA, and CA

Similar to cracking models, the pavement is made thicker, as necessary, until faulting model predicts that the pavement will not fail by faulting during the design life

StreetPave’sweak point

StreetPave in MN

http://www.dot.state.mn.us/stateaid/admin/memos/12-sa-03.pdf

http://www.dot.state.mn.us/research/documents/201210.pdf

10

And Its Use is Growing!

Also “approved” in VA and many other state, city, and county engineers are using it in the U.S.

StreetPave used in design tables in:ACI 325 and 330 documents

Dr. Norb Delatte’s textbook Concrete Pavement Design, Construction, and Performance

Internationally, used in Australia, Portugal, Mexico, Uruguay, Argentina, Chile, etc.

StreetPave – Asphalt Design

Per Asphalt Institute’s MS-1

Reliability considered as modifier of soil strength (see ACPA’s R&T Update 9.01, “StreetPave’s Equivalent Design of Asphalt – Proof of the Accuracy of StreetPave’s Asphalt Module”)Failure predefined according to Asphalt Institute at 20% cracking in the wheelpaths

Comparison of Software

Example with ME Design “defaults”

JPCP w/ 6 in. (150 mm) crushed stone on a A-7-6 subgrade with defaults except subbase thickness

All traffic @ default values

Weather @ Chicago (ORD)

@ Phoenix (PHX)

Passes with 1.5” (38 mm) dowels

Example with ME Design “defaults”

Conducted WinPAS/AASHTO 93 and StreetPave designs alongside for comparison

Used “default” values from ME Design as inputs where possible

If ME Design variable not available, used typical “default”

In ME, also turned “Sealant” on and Erodibility Index to 2

For k-value, used ½ dynamic k-value to get static k-value

100

125

150

175

200

225

250

275

300

325

350

4

5

6

7

8

9

10

11

12

13

14

 ‐  10,000,000  20,000,000  30,000,000  40,000,000  50,000,000

Required Thickness (mm)

Required Thickness (in.)

Design Lane ESALs

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

Example with “defaults” - DOWELED

remember AASHTO 93 limit?

11

100

125

150

175

200

225

250

275

300

325

350

4

5

6

7

8

9

10

11

12

13

14

 ‐  10,000,000  20,000,000  30,000,000  40,000,000  50,000,000

Required Thickness (mm)

Req

uired

 Thickn

ess (in.)

Design Lane ESALs

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

Example with “defaults” - UNDOWELED

0

25

50

75

100

125

150

175

0

1

2

3

4

5

6

7

 ‐  10,000,000  20,000,000  30,000,000  40,000,000  50,000,000

Thickn

ess Red

uction w/D

owels (m

m)

Thickn

ess Reduction w/D

owels (in.)

Design Lane ESALs

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

The Value of Dowel Bars!

Top 10 ME Design Most Sensitive

1. Concrete Flexural Strength at 28-Days

2. Concrete Thickness

3. Surface Shortwave Absorptivity (SSA)

4. Joint Spacing

5. Concrete Modulus of Elasticity at 28-Days

6. Design Lane Width with a 14 ft (4.3 m) Widened Slab

7. Edge Support via Widened Slab

8. Concrete Thermal Conductivity

9. Concrete Coefficient of Thermal Expansion (CTE)

10. Concrete Unit Weight

Red = only ME Design input… the VALUE of the software!Blue + Bold = common for all

100

125

150

175

200

225

250

275

300

325

350

4

5

6

7

8

9

10

11

12

13

14

 400  450  500  550  600  650  700  750  800

Required Thickn

ess (mm)

Required Thickn

ess (in.)

Concrete Flexural Strength (psi)

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

Flexural Strength Sensitivity

(2.75 MPa) (5.5 MPa)

100

125

150

175

200

225

250

275

300

325

350

4

5

6

7

8

9

10

11

12

13

14

 3,000,000  3,500,000  4,000,000  4,500,000  5,000,000  5,500,000  6,000,000

Requ

ired

 Thickne

ss (m

m)

Requ

ired

 Thickne

ss (in.)

Modulus of Elasticity (psi)

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

Modulus of Elasticity Sensitivity

… in reality, need to change strength too…(20.7 GPa) (41.4 GPa)

0

25

50

75

100

0

0.5

1

1.5

2

2.5

3

3.5

4

 ‐  10,000,000  20,000,000  30,000,000  40,000,000  50,000,000

Thickness Red

uction w/Edge Support (mm)

Thickn

ess Reduction w/Edge Support (in.)

Design Lane ESALs

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

Thickness Reduction w/ Edge Support

12

Reliability is Very Different for Each

Damage

Dis

tres

s

0.4

0.5

0.6

0.7

0.8

0.9

1

1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06 1.E+07 1.E+08 1.E+09 1.E+10

Str

ess

Rat

io

Repetitions

Fatigue Data

StreetPave R=95%

PCA

100

125

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200

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250

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300

325

350

4

5

6

7

8

9

10

11

12

13

14

50% 60% 70% 80% 90% 100%

Required Thickn

ess (m

m)

Required Thickn

ess (in.)

Reliability

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

Reliability Sensitivity

Increasing k-value Doesn’t Greatly Decrease the Required Thickness

Concrete pavement design thickness is relatively insensitive to support stiffness (modulus of subgrade reaction), so it is improper engineering to make a subgrade/subbase stronger or thicker in an attempt to decrease concrete pavement thickness…

Analyses conducted in StreetPave

100

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325

350

4

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14

0 100 200 300 400 500

Req

uired Thickn

ess (mm)

Req

uired

 Thickn

ess (in.)

Static k‐value (psi)

AASHTO 93 (ACPA WinPAS)

AASHTOWare Pavement ME @ ORD

AASHTOWare Pavement ME @ PHX

ACPA StreetPave

k-value Sensitivity

Very few designed for < 100

psi/in. (27

MPa/m)?

(136 MPa/m)

Get Your Software Loaded Up!Thank you.

Questions? FEEDBACK!

Main Website | acpa.orgConcrete Wiki | wiki.acpa.org

App Library | apps.acpa.orgDesktop Software | software.acpa.org

Resources | resources.acpa.orgOn-Demand Training | ondemand.acpa.org

Live Online Training | webinars.acpa.orgYour Local Contact | local.acpa.org

Robert Rodden, P.E.

Senior Director of Pavement Technology

American Concrete Pavement Association

[email protected] | 847.423.8706


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