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Structural Design Approaches for Fiber Reinforced
Concrete- ACI Committee 544 activities
Barzin Mobasher
School of Sustainable Engineering and the Built Environment
Ira A. Fulton Schools of Engineering
Arizona State University
Tempe, AZ 85287-5306
FULTON
s c h o o l o f e n g i n e e r i n g
Overview
 Introduction and overview of ACI structure
 Challenges and opportunities for Sustainability
 Opportunities for interaction and collaboration with
International Code and Research Organizations
– Fib, Rilem, JCI
 Opportunities for FRC Materials
 Case studies
– Fiber Reinforced Concrete Elevated slabs
– Fiber concrete for Water containing structures
– Self compacting Concrete
FULTON
s c h o o l o f e n g i n e e r i n g
Primary directions of Committee 544
 Education, codes and specifications, applications, sustainability
 Reports on Fundamentals of materials, properties, testing, modelling,
mechanical and physical properties, and design addressing life cycle
cost.
 Subcommittees:
– A) Production, Application, and Education
– C) Testing
– D) Structural uses
– E) Mechanical Properties
– F) Durability and physical properties
FULTON
s c h o o l o f e n g i n e e r i n g
FRC as the ultimate High Performance
Concrete
 High strength
 Ductility in tension and compression, High Toughness
 High early strength-Tensile crack resistance
 Low permeability- Shrinkage resistance
 Type of Concrete
– Self Leveling Concrete, SCC
– Fiber-reinforced concrete-shrinkage
– Low Permeability concrete
– Structural FRC
FULTON
s c h o o l o f e n g i n e e r i n g
Mandatory language documents
requiring standardization (ACI standards)
 Design standards
– Code requirements
– Code cases
– Acceptance criteria
– Design specifications
 Construction standards
– Construction specifications
– Material specifications
– Test methods
– Inspection specifications
– Testing services specifications
FULTON
s c h o o l o f e n g i n e e r i n g
Non-mandatory language documents not
requiring standardization
 Guides
– Guides for design, construction, and maintenance
– Handbooks and manuals
– Technical notes (TechNotes)
 Reports
– Reports on design, construction, and maintenance
– Emerging Technology Reports (ETRs)
FULTON
s c h o o l o f e n g i n e e r i n g
ACI Technotes
 A TechNote is a narrowly focused, single‐topic guide, usually
practice oriented. A TechNote presents specific direction on a
particular issue, and may contain pictures, figures, and numeric
examples. A TechNote can cover topics such as design,
construction, or repair methods, or can provide recommendations
on a concrete technology.
 TechNote language shall be nonmandatory. (2010 ACI Technical
Committee Manual, Section 3.2.2.1.3.)
FULTON
s c h o o l o f e n g i n e e r i n g
Current State of FRC Applications
use/ acceptance /
Development
maturity level (0-5)
Need / opportunity
Effort level (0-5)
Primary reinforcement 0 5
Secondary reinforcement 4 2
Specifications 5 3
Mix Designs 5 3
Test Methods 3-4 3
Analysis Tools 1 4
Design Tools 1 4
Economical advantages 2 5
Marketing 2 4
FULTON
s c h o o l o f e n g i n e e r i n g
Identification of Barriers to
acceptance
 Disconnect between scientific research, engineering design tools, field
personnel, with marketing practice.
 Experimental and theoretical research must address constitutive response
of FRC using sound scientific approaches, i.e. mechanics of composites.
 Lack of tools to relate performance indicators to material properties such
as stiffness, bond, rheology, and strength.
 Mush energy is dedicated in committee discussions on techniques such as
manners of testing and measurement of properties that have no bearing on
the actual serviceability functions.
 Product comparisons, early and long term properties are mostly done on
comparative material A vs. B level.
 Life cycle cost modeling and integrated design tools are seldom used.
 Lots of novel testing, research models, NDE techniques, but the flow of
these results into day to day practice is minimal.
FULTON
s c h o o l o f e n g i n e e r i n g
Thrust Areas-II
 Development of Simplified Constitutive
Models for Design Applications
FULTON
s c h o o l o f e n g i n e e r i n g
Thrust Area
 Durability and Serviceability Based Design
 Development of Emerging Technology reports and technical
notes to address the various durability and serviceability
objectives.
 Applications
FULTON
s c h o o l o f e n g i n e e r i n g
Emerging Technology reports
 Material Post-Peak Property Characterization
 The purpose of ACI ET-Report titled: “Report on Indirect Method to Obtain a
Stress-Strain diagram for Strain Softening Fiber-Reinforced Concretes
(FRCs)”
 curve fitting and backcalculation approaches that use flexural data to
compute tensile response.
 Flexural testing was developed by RILEM, [TC 162-TDF 1995], EN-14651,
[Vandewalle and Dupont, 2003], [Soranakom, Mobasher,2009].
 Use empirical and inverse-analysis methods to show that the backcalculated
post peak residual tensile strength is about 30%-37% of the elastically
equivalent flexural residual strength for specimens with different fiber types
and volume fractions.
FULTON
s c h o o l o f e n g i n e e r i n g
Emerging Technology Reports- Elevated
Slabs
 The ACI ET document addresses the methodology for analysis,
design, and construction of steel fiber-reinforced concrete slabs
supported on piles, or columns (E-SFRC).
 Relatively high dosage of steel fibers (85-170 lb/yd3 [50-100 kg/m3])
 Primary method of reinforcement.
 Design and Analysis Procedures
– Standard procedures for obtaining material properties
– Development of finite element models for structural analysis of slabs
– Methods of construction, curing, and full-scale testing of slabs
FULTON
s c h o o l o f e n g i n e e r i n g
Emerging Technology report-III
 ACI-ETR Report on Design and Construction of Steel Fiber-
Reinforced Precast Concrete Tunnel Segments Currently under Ballot
 Design for production, transitional, construction and service stages
– (9 load cases)
 Required material parameters for design, tests and performance
evaluation
– material parameters, tests and analyses
– full scale tests
 hybrid reinforcement for tunnel linings
 design examples
FULTON
s c h o o l o f e n g i n e e r i n g
FRC technology is vastly underutilized relative
to the performance and economic advantages
 Future state of FRC acceptance
 New product development
 New technology development
 Common set of characterization and testing
 No new indices, or normalized parameters, 40+ years of research
 Unified Design guides –common sets of industry wide tools
 Analysis methods
 Allowable stress method, Elastic equivalent,
 Ultimate Strength based method, ACI 318 approach
 Both methods are the barriers to utilization of tensile performance
 Ductility based design development
 Elastic plastic approach
 Yield Line analysis > 70 years of experience in reinforced concrete
FULTON
s c h o o l o f e n g i n e e r i n g
Rio de Janeiro Metro Line #4
FULTON
s c h o o l o f e n g i n e e r i n g
Spillway: high density of REBARS
FULTON
s c h o o l o f e n g i n e e r i n g
Fiber’s Synergy with other Admixtures
 Strength: Pozzolans, Admixtures, rheology
 w/c reduction: Superplasticizers
 Ductility: Crack Width Reduction
 Durability: Blended Cements, admixtures, crack width
 Workability: Admixtures, SCC
 Economy: Reduced section sizes, durability, ductility, LCA
 Crack control: Plastic Shrinkage Cracking, crack width
 Can these technologies be translated to new product
development?
FULTON
s c h o o l o f e n g i n e e r i n g
Overcoming Barriers to FRC acceptance
 The fiber industry has not had a cohesive, effective
industry voice. Academia has its own metrics and scales.
 ACI offers a forum for Industry, university, practitioners,
code agencies to interact toward a consensus.
 ACI 544 has been an active committee for the past 45
years.
 Can ACI 544 play a vital role in removing irrational
barriers inhibiting acceptance of FRC?
FULTON
s c h o o l o f e n g i n e e r i n g
What is ACI 544 doing to help
overcome barriers
 ACI is a voluntary organization, consensus building exercises
 Fast, up-to-date, comprehensive group effort, just choose one!
 The speed of reports generation and production makes the process
frustrating for authors & committee members.
 More international collaborations, learn from the experience of other
agencies
FULTON
s c h o o l o f e n g i n e e r i n g
Emerging Technology Reports (ETRs)
 ETRs provide:
 information on emerging concrete technology in
the committee’s area of expertise where there is
insufficient knowledge to write a comprehensive
ACI report.
 Introduces a new technology into practice by
providing basic information to allow
implementation and permit accumulation of
performance histories.
 Includes a statement of limitations and a
discussion of research needed to provide the
missing information.
FULTON
s c h o o l o f e n g i n e e r i n g
Document on Durability and Physical Properties
FULTON
s c h o o l o f e n g i n e e r i n g
ACI 544 New Management philosophy
 Move beyond agenda items and meeting minutes as the only way we
communicate with committee members.
 Develop and communicate objectives, activities, collaborations, and results in a
more formal, and documented way.
 Subcommittee chairs involved in formalizing the subcommittees functions.
Look back at our past accomplishments and look forward to future goals.
 Subcommittee list of activities, accomplishments, and planned objectives need
to be better defined. One page summary report submitted by the subcommittee
chair to be posted on the website of the subcommittee (frequency=one single
page report per three months)
FULTON
s c h o o l o f e n g i n e e r i n g
List of ongoing Activities-Reports in
Balloting stages
 ACI 544-E Report on the “Indirect Method for Obtaining a Model Stress-Strain
Curve of Strain Softening FRCs” Mobasher, Barros, 4 years
 ACI 544-E Performance Based FRC Classification and Related Nomenclature,
Naaman. 2 years
 ACI 644-D Elevated and Pile Supported Steel Fiber Reinforced Concrete Slab
Applications, Mobasher, Destree, Barros 3 years
 ACI 544‐C Measurement of Properties of Fiber Reinforced Concrete, Forgeron, 6
years
FULTON
s c h o o l o f e n g i n e e r i n g
New Membership
 Time to renew our commitments
 New members associate members, honorary
members
 Working with Cliff MacDonald to develop ways to
empower members to participate in sub-committee
work
 Purge unproductive members
FULTON
s c h o o l o f e n g i n e e r i n g
Policies, Procedures, and
communications
 Develop documents that are relevant, collaborative and up-to-date
 Better communication. Quarterly updates among exec committee, a minimum
of two e-mails to mass members in between conventions. An annual report
of activities of subcommittees
 More clear identification of goals and performance markers for sub
committees.
– Review objectives and accomplishments at each convention
– Presentation to the subcommittee levels
– Membership recruitment, involvement, and involvement.
 Committee structure,
– Demote inactive members, invite new members.
– Improve collaboration with other ACI committees, ACI318, ACI 201
Durability, new take on Sustainability
FULTON
s c h o o l o f e n g i n e e r i n g
Liaison Committees
 What are the ongoing collaborations and efforts of ACI 544 with
these organizations? How does their activity impact our collected
efforts? What are the potential opportunities for joint effort? Where
are the reports and an updated list of activities? Who are the
official contacts? Can we get a one page summary from each
contact member posted on the minutes?
 ACI 360, ACI 506, ACI 440
 ASTM C 09.42, ASTM C 27, ASTM C 17
 RILEM
 FIB 8.3, FIB TG8.6
FULTON
s c h o o l o f e n g i n e e r i n g
What can FRCA do to assist ACI 544 in its
mission and make it more effective?
 Please get involved with five subcommittees
 Commit time, effort, $, vision, priority lists
 Read, edit, review, generate short documents, TechNotes
 Collaborate, round robin testing, standardization,
 Hold the chair and subcommittee chairs accountable to
deadlines, reports, timelines.
 Compete, lead, or stand aside
 Let us leave our egos behind.
FULTON
s c h o o l o f e n g i n e e r i n g
FRCA perspective
 Lack of interest / involvement of contractors and
concrete producers in FRC
 Performance specs
 Building code acceptance
– 318 recognition
 Incorporation into university curriculum
 Others
FULTON
s c h o o l o f e n g i n e e r i n g
Test methods
 Variability of results
– ACI can be a great forum for discussing ASTM vs. other test
methods
 How to report results
– ASTM C1550, ASTM C1399, ASTM 1609
– Is there a universal way to communicate all these results?
 Need for verification?
– Fundamental research on mechanics can help
 Unanswered performance questions
– Creep (appropriate safety factors)
– Fatigue
FULTON
s c h o o l o f e n g i n e e r i n g
Design methodologies
 Fibers, fabrics, new and innovative technologies
 Material Properties
– How do I use the test results in analysis, design, and specifications
 What correlation if any exists in the test results between
test methods and design methodology
 Design methods for combined fiber and rebar
FULTON
s c h o o l o f e n g i n e e r i n g
Steps
Parking
Curbs
Pipes
Septic
Tanks
Manholes, Burial Vaults
& Catch Basins
FRC Precast Applications
Insulated
Wall Panels
FULTON
s c h o o l o f e n g i n e e r i n g
Fiber Reinforcement
FULTON
s c h o o l o f e n g i n e e r i n g
Crack Deflection Toughening
B. Mobasher, Polypropylene fiber reinforced cement based composites
FULTON
s c h o o l o f e n g i n e e r i n g
ASU- Mechanical Testing facility
 From Small (micron size) to full
size structural testing facility
(meters)
FULTON
s c h o o l o f e n g i n e e r i n g
Restrained Shrinkage Tests
 W/C and degree of curing
 Curing is essential to ensure a
strength gain
 minimize early autogenous and
drying shrinkage.
 Extremely important with silica
fume concrete.
 Plastic Shrinkage cracking
significantly affects the long
term durability.
FULTON
s c h o o l o f e n g i n e e r i n g
Toughening Due to Fiber Bridging
 Fiber debonding and pullout
 Closing Pressure
 Crack face stiffness
 Stress Intensity reduction
 Crack closure
PP FRC Composites Carbon Fiber Composites
FULTON
s c h o o l o f e n g i n e e r i n g
Cyclic Tests - Brittle Micro Fibers
 Closed-loop controlled tests
 Crack mouth opening and deflection
measurements
0.0 0.1 0.2 0.3
Deflection, mm
0
200
400
600
800
1000
1200
1400
Load,N
8% Carbon
Mortar
FULTON
s c h o o l o f e n g i n e e r i n g
Ductile Steel Fiber Composites
0 1 2 3
CMOD, mm
0
400
800
1200
1600
Load,N
Steel, 5%
FULTON
s c h o o l o f e n g i n e e r i n g
Strengthening With Carbon Fibers
0.000 0.001 0.002 0.003 0.004 0.005
Strain, mm/mm
Notched Specimens
Reinforced with
Carbon Fibers,
Gage Length = 25.0 mm
mortar
V
f
= 16%
V
f
= 12%
V
f
= 4%
0
2000
4000
6000
Stress,kPa
Notched Tension
75 mm
12.7 mm
Mobasher, B. Li, C. Y., "Mechanical Properties of Hybrid Cement Based Composites,“
ACI Materials Journal, Vol. 93, No.3, pp.284-293,1996.
FULTON
s c h o o l o f e n g i n e e r i n g
Publications
 More than 20+
papers in the area
of design and
analysis of FRC
FULTON
s c h o o l o f e n g i n e e r i n g
Material Model for strain softening
 Two material parameters (ecr ,E) and four normalized
parameters (w, m, lcu, btu), independent variable l.
cr
cr
2
=
d
e

ec = lecr
ec
sc
ecy = wecr
E
ecu = lcuecr
et
st
ecr
E sp = mecrE
etu=btuecr
scr = ecrE
2
cr cr
1
M = bd E
6
e
Compression model Tension model
FULTON
s c h o o l o f e n g i n e e r i n g
Stress and Strain Distribution
ec=lecr
et
kd
d
sc
1
Fc
1yc1
st1
Ft1
yt1
kd
d
ec=lec
r
et
ecr
sc1
Fc
1yc1
Ft1
yt1
Ft2
yt2
st1
st2
d
kd
ecr
wecr
ec=lecr
et sc1
Fc
1
Fc
2
Ft1yt1
Ft2
yt2
yc1
yc2
st1
st2
0 < l < 1 1 < l < w w < l
FULTON
s c h o o l o f e n g i n e e r i n g
Moment Curvature Diagram
 Incrementally impose 0 < et < etu
 Strain Distribution
 Stress Distribution
 SF = 0, determine k
 M = SCiyci+ STiyti and =ec/kd
stress
k
d
0 < et < etu
strain
ec

C1
C2
T1
T2
T3
M M

Moment curvature diagram
 1 10
kd
c cF b f y dy= 
 1 10
1
kd
c c
c
b
y f y ydy
F
= 
FULTON
s c h o o l o f e n g i n e e r i n g
Model for strain softening
2
cr cr
1
M M M ' = bd E M '
6
e= cr
cr
2
=
d
e

2
cr cr
1
M = bd E
6
e
Stage k M’=M/Mcr ’=/cr
1
0 < l < 1
1
2 2k
l
2
1 < l < w
2
2
2 ( 1) 1
ml
l m l  
23 2
2
(2 3 3 2)
3 (2 1)
k
k
l ml m
m
l
  
 

w  l < lcu
2
2
2 ( ) 2 1
ml
w l w m m   
22 3 2
2
(3 3 3 2)
3 (2 1)
k
k
wl w ml m
m
l
  
 
2k
l
Soranakom, C., and Mobasher, B., “Closed-Form Solutions for Flexural Response of Fiber-Reinforced Concrete Beams,”
Journal of Engineering Mechanics, Vol. 133, No. 8, August 2007, pp. 933-941
Stage k M’=M/Mcr ’=/cr
1
0 < l < 1
1
2 2k
l
2
1 < l < w
2
2
2 ( 1) 1
ml
l m l  
23 2
2
(2 3 3 2)
3 (2 1)
k
k
l ml m
m
l
  
 

w  l < lcu
2
2
2 ( ) 2 1
ml
w l w m m   
22 3 2
2
(3 3 3 2)
3 (2 1)
k
k
wl w ml m
m
l
  
 
2k
l
FULTON
s c h o o l o f e n g i n e e r i n g
Effect of Softening Region Tensile strength,
m
0 4 8 12 16
Normalized top compressive strain, l
0
0.1
0.2
0.3
0.4
0.5
Neutralaxisdepthratio,k
m=0.01
m=0.35
m=0.68
m=1.00
m=0.18
w = 10
ecu = 0.004
etu = 0.015
0 20 40 60
Normalized Cuvature, '
0
1
2
3
NormalizedMoment,M'
m=0.01
m=0.35
m=0.68
m=1.00
m=0.18
M '( ) = 3
+
mw

m w
 
cr
cr
2
=
d
e
2
cr cr
1
M = bd E
6
e
M’= 1.910
M’=1.0145
M’= 0.530
M’=2.727
M’=0.03
FULTON
s c h o o l o f e n g i n e e r i n g
Simplified Design Equation
3
'M
mw
w m =

0 1 2 3
Normalized Ultimate Moment, M'u
0
1
2
3
NormalizedMomentatInfinity,M'
0
1
2
3
M
'
=
3mw
/(w+m)
21
6
cr crM bds=
0.90 'u crM M M =
where
For plain strain softening FRC only
FULTON
s c h o o l o f e n g i n e e r i n g
Calculation Example
 What is the moment capacity of a fiber reinforced
concrete beam? Given that:
– b=4 in, d=4 in
– E = 3x106 psi, scr = 300 psi, sp = 150 psi
– fc’ = 4500 psi, scy ~ 0.8fc’
 Calculations
– m = sp/scr = 0.50
– w = scy/scr = 12
– M’∞ = 3mw/(w+m) = 1.44 (no unit)
– Mcr = 1/6bd2scr = 3,200 lb-in
– M∞ = M’∞Mcr = 4,600 lb-in
– Mu = 0.90M∞ = 4,150 lb-in Moment capacity
2
ult cr
1
M 3 bd E
+ 6
mw
e
m w
 
=  
 
FULTON
s c h o o l o f e n g i n e e r i n g
Grace Strux Fibers
FULTON
s c h o o l o f e n g i n e e r i n g
Fiber toughening Mechanism
FULTON
s c h o o l o f e n g i n e e r i n g
Structural Design with FRC Materials: testing, modeling, analysis and
Design
Shotcrete applicationsElevated slabs Precast panels
FULTON
s c h o o l o f e n g i n e e r i n g
Stress-Strain for Hardening and Softening FRC
 Material parameters are described as a multiple of the first cracking tensile strain
(ecr) and tensile modulus (E)
Compression model Tension model
FULTON
s c h o o l o f e n g i n e e r i n g
Evolution of Stress Distribution Profile
(A) (B) (C)
FULTON
s c h o o l o f e n g i n e e r i n g
Strain-Softening FRC
0 0.01 0.02 0.03 0.04 0.05
Deflection, in
0
200
400
600
800
1000
FlexuralLoad,lb
Experiment
Present Model
L-056 : 9.5 lb/yd3 FibraShield
sample 1
age: 14 days
0 400 800 1200 1600
Stress (psi)
-2
-1
0
1
2
SpecimenDepth,(in)
ARS Method, LE material
ASU Method, Elastic Softening
Stress Distribution
Softening Zone
L056-01
FULTON
s c h o o l o f e n g i n e e r i n g
Size Effect- Back Calculation of UHPFRC- SFRC
 Small: 50x25x300 mm
 Medium: 100x100x300 mm
 Large: 150x150x450 mm
Kim D-J, Naaman AE, El-Tawil S. “Correlation between Tensile and Bending Behavior of FRC Composites with Scale
Effect”, Proc FraMCoS-7, 7th International Conference on Fracture Mechanics of Concrete and Concrete Structures,
May 23-28, 2010, Jeju Island, South Korea
FULTON
s c h o o l o f e n g i n e e r i n g
Curve Fitting of ARS versus Post Peak Residual Strength
(μσcr)
Bakhshi M, Mobasher B. “Sustainable Design of
Structural Concrete Materials”, SR-633 to Arizona
Department of Transportation, Tempe, AZ, 2010.
1% steel Fiber
80kg/m3
steel Fiber
20-60 kg/m3
Kim D-J, Naaman AE, El-Tawil S. “Correlation
between Tensile and Bending Behavior of FRC
Composites with Scale Effect”, Proc FraMCoS-7,
2010, Jeju Island, South Korea
FULTON
s c h o o l o f e n g i n e e r i n g
Comparison with JCI Method
 JCI method overestimates the
residual strength of
– synthetic fibers by 1.4 times
– steel fibers by 6.3 times
Bakhshi M, Mobasher B. “Sustainable Design of Structural Concrete Materials: a Case Study of
Incorporating Materials Science, Structural Mechanics, and Statistical Process Control”, A Report
(SR-633) to Arizona Department of Transportation, Tempe, AZ, 2010.
FULTON
s c h o o l o f e n g i n e e r i n g
Plastic analysis approach
Distributed load on a simply supported square
slab. The work equations are derived as:
Where the resultant NR and rotation θ (from figure
9a) are:
For the four segments with an NR acting at 1/3 of
δmax :
θ θ
q
δmax
L
L/2
L/2
m
m
A A
δ
Yield Line
Square Slab
Simply Supported
int extW W=
R( N ) ( M L )  =   
2
2 2 4
R
L L qL
N q ( ) ( )=   =
2 max
L

 =
2
2
4 4
4 3
max max
L
qL
( ) ( ) ( M ) ( L ) ( )
 
  =   
2
24
ult
p
q L
M =
FULTON
s c h o o l o f e n g i n e e r i n g
Use of Yield Line Analysis and Design
procedures
int extW W=
2
2
P
L
M P P

 = =
4
ult
P
P L
M =
FULTON
s c h o o l o f e n g i n e e r i n g
Round Panel Continuous Support Specimens
FULTON
s c h o o l o f e n g i n e e r i n g
FRC for 2-way elevated slab structures
Composition Amount
Cement Type I 350 kg
Fly ash 60 kg
Aggregate (1.1:1) 1800 kg
W/C < 0.5
Supper plasticizer 1.25 % by Vol.
Vf = 80 - 100 kg/m3
FULTON
s c h o o l o f e n g i n e e r i n g
Construction and Field Testing
 Cast in place SFRC
 Use minimum reinforcement along the
column lines to prevent progressive
collapse
FULTON
s c h o o l o f e n g i n e e r i n g
Modeling of Failure Mechanisms
Oberseite - ULS Mittellast
S
N
West Ost
Unterseite
S
N
WestOst
Durchgezogen: bis 200 kN
gestrichelt: bis Brucklast
FULTON
s c h o o l o f e n g i n e e r i n g
Specifications for Canal lining, WWF, or rebar
replacement
Fiber Reinforced Concrete Mix
Photo Courtesy: Pima-Maricopa Irrigation
Project, Sacaton, Arizona
Traditional #5 rebar layout
Photo Courtesy: Rick Shelly, Pulice
Construction
FULTON
s c h o o l o f e n g i n e e r i n g
Fiber-reinforced shotcrete for initial shaft
sinking support
• Deep shaft (2189 m), 9 m dia, copper mine
• 400,000 tons copper per year for the next 40 years
• Three geological units
• A range of orthotropic stress conditions
• Several modes of instability: gravity driven, rockmass
shear yielding, brittle failure
• The shotcrete system must achieve a high early strength and
ductility within a short period (less than 24 hours).
FULTON
s c h o o l o f e n g i n e e r i n g
Effect of curing age on flexural response
0 0.03 0.06 0.09 0.12 0.15
CMOD, inch
0
500
1000
1500
2000
2500
3000
Load,lbf
36 hrs - Sample 1
36 hrs - Sample 2
16 hrs - Sample 1
16 hrs - Sample 2
8 hrs - Sample 1
8 hrs - Sample 2
Three Point Bending Test Result
Mix 1
10-12 lbs/yd3 of macro fibers
FULTON
s c h o o l o f e n g i n e e r i n g
ASTM C1550-Round Panel 3P-support specimen
FULTON
s c h o o l o f e n g i n e e r i n g
Analysis of Precast Wall Panels
 Assume continuous wall, pin connection at
the bottom and free at the top
 Lateral water pressure in ultimate and
serviceability limit states
FULTON
s c h o o l o f e n g i n e e r i n g
Safety, mobilization, and Cost savings due to
reduced section sizes
FULTON
s c h o o l o f e n g i n e e r i n g
Analysis, Design and Installation of precast water
tank panels
 Load Case1:
– Self weight + Water pressure
– Moment in short span controls
 Load Case2:
– 1.4 Self weight +
1.7 Earth pressure +
1.7 Uniform pressure due to surcharge
– Moment in short span direction SM1
FULTON
s c h o o l o f e n g i n e e r i n g
Round Panel Tests
 A round panel test is
used to evaluate FRC
 Test setup
– displacement control
– continuous support
– center point load
– measure load vs. mid
span deflection
 Dimensions
– clear diameter 1500 mm
– thickness = 150 mm
– stoke diameter = 150 mm
FULTON
s c h o o l o f e n g i n e e r i n g
Typical Crack Patterns
 The test reveals unsymmetrical multiple radial crack patterns
Vf = 80 kg/m3
Sample 8-02
Vf = 100 kg/m3
Sample 1-07
FULTON
s c h o o l o f e n g i n e e r i n g
Typical Responses of a Full Model
 In elastic range, the
deformation is symmetrical
such that symmetric criteria
can be imposed as boundary
conditions to improve the
efficiency of the model
 In plastic stage, strain energy
density localizes in crack band
regions
FULTON
s c h o o l o f e n g i n e e r i n g
Test Results and Averaged Response
 Load deflection responses of two mixes
0 10 20 30
Deflection (mm)
0
40
80
120
160
200
Load(kN)
Samples 1-6
Average
Vf = 80 kg/m3 Vf = 100 kg/m3
0 10 20 30
Deflection (mm)
0
40
80
120
160
200
Load(kN)
Samples 1-9
Average
FULTON
s c h o o l o f e n g i n e e r i n g
Material Properties from Calibration
 The first cracking tensile strength from s-w are compared well with the
plastic strength ftu from yield line theory
0 0.5 1 1.5 2
Crack Width (mm)
0
0.5
1
1.5
2
2.5
TensileStress(MPa)
s-w relationship,
E = 20 GPa,  = 0.15
(inverse analysis FEM)
ftu = 2.11 MPa
(yield line prediction)
0 0.5 1 1.5 2
Crack Width (mm)
0
0.5
1
1.5
2
2.5
TensileStress(MPa)
s-w relationship
E = 24 GPa, = 0.15
(inverse analysis FEM)
ftu = 2.37 MPa
(yield line prediction)
Vf = 80 kg/m3
Vf = 100 kg/m3
FULTON
s c h o o l o f e n g i n e e r i n g
Material Models
 (a) rectangular cross
section
 (b) tension model
 (c) compression model
 (d) steel model
FULTON
s c h o o l o f e n g i n e e r i n g
Fiber Reinforced Concrete for 2-way
elevated slab structures
Composition Amount
Cement Type I 350 kg
Fly ash 60 kg
Aggregate (1.1:1) 1800 kg
W/C < 0.5
Supper plasticizer 1.25 % by Vol.
Vf = 80 - 100 kg/m3
FULTON
s c h o o l o f e n g i n e e r i n g
Full Scale Elevated Slab
 Vf=100 kg/m3 in construction
 Square grid floor 18.3 m x 18.3 m (3 bays each direction)
 Slab thickness of 0.2 m
 Column size of 0.3 m x 0.3 m
FULTON
s c h o o l o f e n g i n e e r i n g
Back view
FULTON
s c h o o l o f e n g i n e e r i n g
Test rig centre span
FULTON
s c h o o l o f e n g i n e e r i n g
Construction and Field Testing
 Cast in place SFRC
 Use minimum reinforcement along the column lines to
prevent progressive collapse
FULTON
s c h o o l o f e n g i n e e r i n g
Service Load, 4kNm² udl, (83 psf)
FULTON
s c h o o l o f e n g i n e e r i n g
Edge Test
FULTON
s c h o o l o f e n g i n e e r i n g
End of Test
FULTON
s c h o o l o f e n g i n e e r i n g
320kN cracking
FULTON
s c h o o l o f e n g i n e e r i n g
Finite Element Model
 For efficiency reason, model the slab for only the upper
quarter
FULTON
s c h o o l o f e n g i n e e r i n g
Crack Predictions
Oberseite - ULS Mittellast
S
N
West Ost
Unterseite
S
N
WestOst
Durchgezogen: bis 200 kN
gestrichelt: bis Brucklast
FULTON
s c h o o l o f e n g i n e e r i n g
Load Deflection Response
 FEM predicts stiffer response and higher capacity than the experiment
 Yield line predicts the strength between the experiment’s and the FEM
prediction’s
Response Experiment FEM Yield
line
Pcr 230 kN 401.2 kN -
cr 7 mm 3.0 mm -
Pult 470 kN 542.8 kN 536.1 kN
0 50 100 150
Mid-Span Deflection (mm)
0
200
400
600
Load(kN)
Simulation
Experiment
FULTON
s c h o o l o f e n g i n e e r i n g
Precast panels
 Panels are made of plain concrete and steel rebar to be installed on site
FULTON
s c h o o l o f e n g i n e e r i n g
FULTON
s c h o o l o f e n g i n e e r i n g
Installation of pre-cast water tank
 Panels are assembled on
site
 The wall joints are
connected using bolts and
epoxy
 The base slab is
connected to the
periphery walls by friction
through slots
FULTON
s c h o o l o f e n g i n e e r i n g
Analysis of Wall Panels
 Assume continuous wall,
pin connection at the
bottom and free at the
top
 Lateral water pressure in
ultimate and
serviceability limit states
FULTON
s c h o o l o f e n g i n e e r i n g
Critical Internal Forces
 Critical moment, shear, and
axial forces
– Horizontal
– Vertical
 Design thickness and
reinforcement for both
– Ultimate
– Serviceability
FULTON
s c h o o l o f e n g i n e e r i n g
Cast in Place Water Tank
 Finite element model
– Shell elements
 Lateral loading
– Water
– Earth pressure
– Surcharge
FULTON
s c h o o l o f e n g i n e e r i n g
Analysis Results
 Load Case1:
– 1.4 Self weight +
1.4 Water pressure
– Moment in short span
direction SM1
 Load Case2:
– 1.4 Self weight +
1.7 Earth pressure +
1.7 Uniform pressure due to surcharge
– Moment in short span direction SM1
FULTON
s c h o o l o f e n g i n e e r i n g
Economy- Specifications for Canal lining,
WWF, or rebar replacement
FULTON
s c h o o l o f e n g i n e e r i n g
Construction cleanup after flooding
FULTON
s c h o o l o f e n g i n e e r i n g
ASU- Rio Tinto Project – Magma Copper
mine, Superior , Arizona
FULTON
s c h o o l o f e n g i n e e r i n g
Shotcrete Applications- ASU-Rio Tinto
Project
FULTON
s c h o o l o f e n g i n e e r i n g
ASTM 1550- Tests
how do we extract material properties from these tests which can
ultimately be used in design
FULTON
s c h o o l o f e n g i n e e r i n g
ASTM C1550
0 1 2 3
Deflection (in)
0
2000
4000
6000
Load(lbf)
R-CSA-16-1
R-CSA-16-2
R-CSA-16-3
R-CSB-16-1
R-CSB-16-2
R-CSB-16-3
R-HSA-16-1
R-HSA-16-2
R-HSA-16-3
R-HSB-16-1
R-HSB-16-2
R-HSB-16-3
10-12 lbs/yd3 of macro fibers
Are the test results communicable
between different geometries?
Load Deflection results used for back-calculation of properties
FULTON
s c h o o l o f e n g i n e e r i n g
Effect of curing age on flexural response
0 0.03 0.06 0.09 0.12 0.15
CMOD, inch
0
500
1000
1500
2000
2500
3000
Load,lbf
36 hrs - Sample 1
36 hrs - Sample 2
16 hrs - Sample 1
16 hrs - Sample 2
8 hrs - Sample 1
8 hrs - Sample 2
Three Point Bending Test Result
Mix 1
10-12 lbs/yd3 of macro fibers
FULTON
s c h o o l o f e n g i n e e r i n g
Inverse Analysis Procedures- Macro fiber
dosage level 10 lb/yd3,
0 0.03 0.06 0.09 0.12 0.15
CMOD (inch)
0
500
1000
1500
2000
2500
Load(lb)
Mix 3 at 36 hrs
Sample 1
Simulation 1
Sample 2
Simulation 2
0 0.02 0.04 0.06 0.08 0.1 0.12
Crack Width (inch)
0
100
200
300
TensileStress(psi)
Mix 3 at 36 hrs
Simulation 1
Simulation 2
FULTON
s c h o o l o f e n g i n e e r i n g
Closed-Loop Flexure Tests
 89 KN closed-loop controlled testing machine.
 Measure crack mouth opening and deflection of flexural prisms
100x100x368 mm in dimensions, 12 mm notch
Vf = 20 Kg/m3
Vf = 10 Kg/m3
Vf = 5 Kg/m3
Control
0 0.2 0.4 0.6 0.8 1
Crack Mouth opening Displacement, mm
0
2
4
6
8
10
12
Load,KN
Age = 28 Days
W/C = 0.4
HP12
FULTON
s c h o o l o f e n g i n e e r i n g
Theoretical Prediction of Load Deformation
Response-Effect of Age on Flexural response
0.0 0.1 0.2 0.3 0.4
CMOD, mm
0
2000
4000
6000
8000
Load,N
3 days
28 days
Model Prediction 3 Days
Model Prediction 28 Days
w/c = 0.55
Vf = 0.6 Kg/m3
0 20 40 60 80 100
Crack Extension, mm
0.00
0.05
0.10
0.15
0.20
R,N/mm
Model Prediction 3 Days
Model Prediction 28 Days
w/c = 0.55
Vf = 0.6 Kg/m3
HD12mm
FULTON
s c h o o l o f e n g i n e e r i n g
Whitetopping Project
0 0.01 0.02 0.03 0.04 0.05
Deflection, in
0
300
600
900
1200
1500
Load,lbs
AR
PP
CTR
CR
Age = 28 Days
0 0.003 0.006 0.009 0.012 0.015
Circumferential Strain, in/in
0
1000
2000
3000
4000
5000
6000
7000
Stress,psi
PP
AR
CTR
CR
Age = 28 days
Compressive StrengthFlexural Strength

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Fibers aci544

  • 1. Structural Design Approaches for Fiber Reinforced Concrete- ACI Committee 544 activities Barzin Mobasher School of Sustainable Engineering and the Built Environment Ira A. Fulton Schools of Engineering Arizona State University Tempe, AZ 85287-5306
  • 2. FULTON s c h o o l o f e n g i n e e r i n g Overview  Introduction and overview of ACI structure  Challenges and opportunities for Sustainability  Opportunities for interaction and collaboration with International Code and Research Organizations – Fib, Rilem, JCI  Opportunities for FRC Materials  Case studies – Fiber Reinforced Concrete Elevated slabs – Fiber concrete for Water containing structures – Self compacting Concrete
  • 3. FULTON s c h o o l o f e n g i n e e r i n g Primary directions of Committee 544  Education, codes and specifications, applications, sustainability  Reports on Fundamentals of materials, properties, testing, modelling, mechanical and physical properties, and design addressing life cycle cost.  Subcommittees: – A) Production, Application, and Education – C) Testing – D) Structural uses – E) Mechanical Properties – F) Durability and physical properties
  • 4. FULTON s c h o o l o f e n g i n e e r i n g FRC as the ultimate High Performance Concrete  High strength  Ductility in tension and compression, High Toughness  High early strength-Tensile crack resistance  Low permeability- Shrinkage resistance  Type of Concrete – Self Leveling Concrete, SCC – Fiber-reinforced concrete-shrinkage – Low Permeability concrete – Structural FRC
  • 5. FULTON s c h o o l o f e n g i n e e r i n g Mandatory language documents requiring standardization (ACI standards)  Design standards – Code requirements – Code cases – Acceptance criteria – Design specifications  Construction standards – Construction specifications – Material specifications – Test methods – Inspection specifications – Testing services specifications
  • 6. FULTON s c h o o l o f e n g i n e e r i n g Non-mandatory language documents not requiring standardization  Guides – Guides for design, construction, and maintenance – Handbooks and manuals – Technical notes (TechNotes)  Reports – Reports on design, construction, and maintenance – Emerging Technology Reports (ETRs)
  • 7. FULTON s c h o o l o f e n g i n e e r i n g ACI Technotes  A TechNote is a narrowly focused, single‐topic guide, usually practice oriented. A TechNote presents specific direction on a particular issue, and may contain pictures, figures, and numeric examples. A TechNote can cover topics such as design, construction, or repair methods, or can provide recommendations on a concrete technology.  TechNote language shall be nonmandatory. (2010 ACI Technical Committee Manual, Section 3.2.2.1.3.)
  • 8. FULTON s c h o o l o f e n g i n e e r i n g Current State of FRC Applications use/ acceptance / Development maturity level (0-5) Need / opportunity Effort level (0-5) Primary reinforcement 0 5 Secondary reinforcement 4 2 Specifications 5 3 Mix Designs 5 3 Test Methods 3-4 3 Analysis Tools 1 4 Design Tools 1 4 Economical advantages 2 5 Marketing 2 4
  • 9. FULTON s c h o o l o f e n g i n e e r i n g Identification of Barriers to acceptance  Disconnect between scientific research, engineering design tools, field personnel, with marketing practice.  Experimental and theoretical research must address constitutive response of FRC using sound scientific approaches, i.e. mechanics of composites.  Lack of tools to relate performance indicators to material properties such as stiffness, bond, rheology, and strength.  Mush energy is dedicated in committee discussions on techniques such as manners of testing and measurement of properties that have no bearing on the actual serviceability functions.  Product comparisons, early and long term properties are mostly done on comparative material A vs. B level.  Life cycle cost modeling and integrated design tools are seldom used.  Lots of novel testing, research models, NDE techniques, but the flow of these results into day to day practice is minimal.
  • 10. FULTON s c h o o l o f e n g i n e e r i n g Thrust Areas-II  Development of Simplified Constitutive Models for Design Applications
  • 11. FULTON s c h o o l o f e n g i n e e r i n g Thrust Area  Durability and Serviceability Based Design  Development of Emerging Technology reports and technical notes to address the various durability and serviceability objectives.  Applications
  • 12. FULTON s c h o o l o f e n g i n e e r i n g Emerging Technology reports  Material Post-Peak Property Characterization  The purpose of ACI ET-Report titled: “Report on Indirect Method to Obtain a Stress-Strain diagram for Strain Softening Fiber-Reinforced Concretes (FRCs)”  curve fitting and backcalculation approaches that use flexural data to compute tensile response.  Flexural testing was developed by RILEM, [TC 162-TDF 1995], EN-14651, [Vandewalle and Dupont, 2003], [Soranakom, Mobasher,2009].  Use empirical and inverse-analysis methods to show that the backcalculated post peak residual tensile strength is about 30%-37% of the elastically equivalent flexural residual strength for specimens with different fiber types and volume fractions.
  • 13. FULTON s c h o o l o f e n g i n e e r i n g Emerging Technology Reports- Elevated Slabs  The ACI ET document addresses the methodology for analysis, design, and construction of steel fiber-reinforced concrete slabs supported on piles, or columns (E-SFRC).  Relatively high dosage of steel fibers (85-170 lb/yd3 [50-100 kg/m3])  Primary method of reinforcement.  Design and Analysis Procedures – Standard procedures for obtaining material properties – Development of finite element models for structural analysis of slabs – Methods of construction, curing, and full-scale testing of slabs
  • 14. FULTON s c h o o l o f e n g i n e e r i n g Emerging Technology report-III  ACI-ETR Report on Design and Construction of Steel Fiber- Reinforced Precast Concrete Tunnel Segments Currently under Ballot  Design for production, transitional, construction and service stages – (9 load cases)  Required material parameters for design, tests and performance evaluation – material parameters, tests and analyses – full scale tests  hybrid reinforcement for tunnel linings  design examples
  • 15. FULTON s c h o o l o f e n g i n e e r i n g FRC technology is vastly underutilized relative to the performance and economic advantages  Future state of FRC acceptance  New product development  New technology development  Common set of characterization and testing  No new indices, or normalized parameters, 40+ years of research  Unified Design guides –common sets of industry wide tools  Analysis methods  Allowable stress method, Elastic equivalent,  Ultimate Strength based method, ACI 318 approach  Both methods are the barriers to utilization of tensile performance  Ductility based design development  Elastic plastic approach  Yield Line analysis > 70 years of experience in reinforced concrete
  • 16. FULTON s c h o o l o f e n g i n e e r i n g Rio de Janeiro Metro Line #4
  • 17. FULTON s c h o o l o f e n g i n e e r i n g Spillway: high density of REBARS
  • 18. FULTON s c h o o l o f e n g i n e e r i n g Fiber’s Synergy with other Admixtures  Strength: Pozzolans, Admixtures, rheology  w/c reduction: Superplasticizers  Ductility: Crack Width Reduction  Durability: Blended Cements, admixtures, crack width  Workability: Admixtures, SCC  Economy: Reduced section sizes, durability, ductility, LCA  Crack control: Plastic Shrinkage Cracking, crack width  Can these technologies be translated to new product development?
  • 19. FULTON s c h o o l o f e n g i n e e r i n g Overcoming Barriers to FRC acceptance  The fiber industry has not had a cohesive, effective industry voice. Academia has its own metrics and scales.  ACI offers a forum for Industry, university, practitioners, code agencies to interact toward a consensus.  ACI 544 has been an active committee for the past 45 years.  Can ACI 544 play a vital role in removing irrational barriers inhibiting acceptance of FRC?
  • 20. FULTON s c h o o l o f e n g i n e e r i n g What is ACI 544 doing to help overcome barriers  ACI is a voluntary organization, consensus building exercises  Fast, up-to-date, comprehensive group effort, just choose one!  The speed of reports generation and production makes the process frustrating for authors & committee members.  More international collaborations, learn from the experience of other agencies
  • 21. FULTON s c h o o l o f e n g i n e e r i n g Emerging Technology Reports (ETRs)  ETRs provide:  information on emerging concrete technology in the committee’s area of expertise where there is insufficient knowledge to write a comprehensive ACI report.  Introduces a new technology into practice by providing basic information to allow implementation and permit accumulation of performance histories.  Includes a statement of limitations and a discussion of research needed to provide the missing information.
  • 22. FULTON s c h o o l o f e n g i n e e r i n g Document on Durability and Physical Properties
  • 23. FULTON s c h o o l o f e n g i n e e r i n g ACI 544 New Management philosophy  Move beyond agenda items and meeting minutes as the only way we communicate with committee members.  Develop and communicate objectives, activities, collaborations, and results in a more formal, and documented way.  Subcommittee chairs involved in formalizing the subcommittees functions. Look back at our past accomplishments and look forward to future goals.  Subcommittee list of activities, accomplishments, and planned objectives need to be better defined. One page summary report submitted by the subcommittee chair to be posted on the website of the subcommittee (frequency=one single page report per three months)
  • 24. FULTON s c h o o l o f e n g i n e e r i n g List of ongoing Activities-Reports in Balloting stages  ACI 544-E Report on the “Indirect Method for Obtaining a Model Stress-Strain Curve of Strain Softening FRCs” Mobasher, Barros, 4 years  ACI 544-E Performance Based FRC Classification and Related Nomenclature, Naaman. 2 years  ACI 644-D Elevated and Pile Supported Steel Fiber Reinforced Concrete Slab Applications, Mobasher, Destree, Barros 3 years  ACI 544‐C Measurement of Properties of Fiber Reinforced Concrete, Forgeron, 6 years
  • 25. FULTON s c h o o l o f e n g i n e e r i n g New Membership  Time to renew our commitments  New members associate members, honorary members  Working with Cliff MacDonald to develop ways to empower members to participate in sub-committee work  Purge unproductive members
  • 26. FULTON s c h o o l o f e n g i n e e r i n g Policies, Procedures, and communications  Develop documents that are relevant, collaborative and up-to-date  Better communication. Quarterly updates among exec committee, a minimum of two e-mails to mass members in between conventions. An annual report of activities of subcommittees  More clear identification of goals and performance markers for sub committees. – Review objectives and accomplishments at each convention – Presentation to the subcommittee levels – Membership recruitment, involvement, and involvement.  Committee structure, – Demote inactive members, invite new members. – Improve collaboration with other ACI committees, ACI318, ACI 201 Durability, new take on Sustainability
  • 27. FULTON s c h o o l o f e n g i n e e r i n g Liaison Committees  What are the ongoing collaborations and efforts of ACI 544 with these organizations? How does their activity impact our collected efforts? What are the potential opportunities for joint effort? Where are the reports and an updated list of activities? Who are the official contacts? Can we get a one page summary from each contact member posted on the minutes?  ACI 360, ACI 506, ACI 440  ASTM C 09.42, ASTM C 27, ASTM C 17  RILEM  FIB 8.3, FIB TG8.6
  • 28. FULTON s c h o o l o f e n g i n e e r i n g What can FRCA do to assist ACI 544 in its mission and make it more effective?  Please get involved with five subcommittees  Commit time, effort, $, vision, priority lists  Read, edit, review, generate short documents, TechNotes  Collaborate, round robin testing, standardization,  Hold the chair and subcommittee chairs accountable to deadlines, reports, timelines.  Compete, lead, or stand aside  Let us leave our egos behind.
  • 29. FULTON s c h o o l o f e n g i n e e r i n g FRCA perspective  Lack of interest / involvement of contractors and concrete producers in FRC  Performance specs  Building code acceptance – 318 recognition  Incorporation into university curriculum  Others
  • 30. FULTON s c h o o l o f e n g i n e e r i n g Test methods  Variability of results – ACI can be a great forum for discussing ASTM vs. other test methods  How to report results – ASTM C1550, ASTM C1399, ASTM 1609 – Is there a universal way to communicate all these results?  Need for verification? – Fundamental research on mechanics can help  Unanswered performance questions – Creep (appropriate safety factors) – Fatigue
  • 31. FULTON s c h o o l o f e n g i n e e r i n g Design methodologies  Fibers, fabrics, new and innovative technologies  Material Properties – How do I use the test results in analysis, design, and specifications  What correlation if any exists in the test results between test methods and design methodology  Design methods for combined fiber and rebar
  • 32. FULTON s c h o o l o f e n g i n e e r i n g Steps Parking Curbs Pipes Septic Tanks Manholes, Burial Vaults & Catch Basins FRC Precast Applications Insulated Wall Panels
  • 33. FULTON s c h o o l o f e n g i n e e r i n g Fiber Reinforcement
  • 34. FULTON s c h o o l o f e n g i n e e r i n g Crack Deflection Toughening B. Mobasher, Polypropylene fiber reinforced cement based composites
  • 35. FULTON s c h o o l o f e n g i n e e r i n g ASU- Mechanical Testing facility  From Small (micron size) to full size structural testing facility (meters)
  • 36. FULTON s c h o o l o f e n g i n e e r i n g Restrained Shrinkage Tests  W/C and degree of curing  Curing is essential to ensure a strength gain  minimize early autogenous and drying shrinkage.  Extremely important with silica fume concrete.  Plastic Shrinkage cracking significantly affects the long term durability.
  • 37. FULTON s c h o o l o f e n g i n e e r i n g Toughening Due to Fiber Bridging  Fiber debonding and pullout  Closing Pressure  Crack face stiffness  Stress Intensity reduction  Crack closure PP FRC Composites Carbon Fiber Composites
  • 38. FULTON s c h o o l o f e n g i n e e r i n g Cyclic Tests - Brittle Micro Fibers  Closed-loop controlled tests  Crack mouth opening and deflection measurements 0.0 0.1 0.2 0.3 Deflection, mm 0 200 400 600 800 1000 1200 1400 Load,N 8% Carbon Mortar
  • 39. FULTON s c h o o l o f e n g i n e e r i n g Ductile Steel Fiber Composites 0 1 2 3 CMOD, mm 0 400 800 1200 1600 Load,N Steel, 5%
  • 40. FULTON s c h o o l o f e n g i n e e r i n g Strengthening With Carbon Fibers 0.000 0.001 0.002 0.003 0.004 0.005 Strain, mm/mm Notched Specimens Reinforced with Carbon Fibers, Gage Length = 25.0 mm mortar V f = 16% V f = 12% V f = 4% 0 2000 4000 6000 Stress,kPa Notched Tension 75 mm 12.7 mm Mobasher, B. Li, C. Y., "Mechanical Properties of Hybrid Cement Based Composites,“ ACI Materials Journal, Vol. 93, No.3, pp.284-293,1996.
  • 41. FULTON s c h o o l o f e n g i n e e r i n g Publications  More than 20+ papers in the area of design and analysis of FRC
  • 42. FULTON s c h o o l o f e n g i n e e r i n g Material Model for strain softening  Two material parameters (ecr ,E) and four normalized parameters (w, m, lcu, btu), independent variable l. cr cr 2 = d e  ec = lecr ec sc ecy = wecr E ecu = lcuecr et st ecr E sp = mecrE etu=btuecr scr = ecrE 2 cr cr 1 M = bd E 6 e Compression model Tension model
  • 43. FULTON s c h o o l o f e n g i n e e r i n g Stress and Strain Distribution ec=lecr et kd d sc 1 Fc 1yc1 st1 Ft1 yt1 kd d ec=lec r et ecr sc1 Fc 1yc1 Ft1 yt1 Ft2 yt2 st1 st2 d kd ecr wecr ec=lecr et sc1 Fc 1 Fc 2 Ft1yt1 Ft2 yt2 yc1 yc2 st1 st2 0 < l < 1 1 < l < w w < l
  • 44. FULTON s c h o o l o f e n g i n e e r i n g Moment Curvature Diagram  Incrementally impose 0 < et < etu  Strain Distribution  Stress Distribution  SF = 0, determine k  M = SCiyci+ STiyti and =ec/kd stress k d 0 < et < etu strain ec  C1 C2 T1 T2 T3 M M  Moment curvature diagram  1 10 kd c cF b f y dy=   1 10 1 kd c c c b y f y ydy F = 
  • 45. FULTON s c h o o l o f e n g i n e e r i n g Model for strain softening 2 cr cr 1 M M M ' = bd E M ' 6 e= cr cr 2 = d e  2 cr cr 1 M = bd E 6 e Stage k M’=M/Mcr ’=/cr 1 0 < l < 1 1 2 2k l 2 1 < l < w 2 2 2 ( 1) 1 ml l m l   23 2 2 (2 3 3 2) 3 (2 1) k k l ml m m l       w  l < lcu 2 2 2 ( ) 2 1 ml w l w m m    22 3 2 2 (3 3 3 2) 3 (2 1) k k wl w ml m m l      2k l Soranakom, C., and Mobasher, B., “Closed-Form Solutions for Flexural Response of Fiber-Reinforced Concrete Beams,” Journal of Engineering Mechanics, Vol. 133, No. 8, August 2007, pp. 933-941 Stage k M’=M/Mcr ’=/cr 1 0 < l < 1 1 2 2k l 2 1 < l < w 2 2 2 ( 1) 1 ml l m l   23 2 2 (2 3 3 2) 3 (2 1) k k l ml m m l       w  l < lcu 2 2 2 ( ) 2 1 ml w l w m m    22 3 2 2 (3 3 3 2) 3 (2 1) k k wl w ml m m l      2k l
  • 46. FULTON s c h o o l o f e n g i n e e r i n g Effect of Softening Region Tensile strength, m 0 4 8 12 16 Normalized top compressive strain, l 0 0.1 0.2 0.3 0.4 0.5 Neutralaxisdepthratio,k m=0.01 m=0.35 m=0.68 m=1.00 m=0.18 w = 10 ecu = 0.004 etu = 0.015 0 20 40 60 Normalized Cuvature, ' 0 1 2 3 NormalizedMoment,M' m=0.01 m=0.35 m=0.68 m=1.00 m=0.18 M '( ) = 3 + mw  m w   cr cr 2 = d e 2 cr cr 1 M = bd E 6 e M’= 1.910 M’=1.0145 M’= 0.530 M’=2.727 M’=0.03
  • 47. FULTON s c h o o l o f e n g i n e e r i n g Simplified Design Equation 3 'M mw w m =  0 1 2 3 Normalized Ultimate Moment, M'u 0 1 2 3 NormalizedMomentatInfinity,M' 0 1 2 3 M ' = 3mw /(w+m) 21 6 cr crM bds= 0.90 'u crM M M = where For plain strain softening FRC only
  • 48. FULTON s c h o o l o f e n g i n e e r i n g Calculation Example  What is the moment capacity of a fiber reinforced concrete beam? Given that: – b=4 in, d=4 in – E = 3x106 psi, scr = 300 psi, sp = 150 psi – fc’ = 4500 psi, scy ~ 0.8fc’  Calculations – m = sp/scr = 0.50 – w = scy/scr = 12 – M’∞ = 3mw/(w+m) = 1.44 (no unit) – Mcr = 1/6bd2scr = 3,200 lb-in – M∞ = M’∞Mcr = 4,600 lb-in – Mu = 0.90M∞ = 4,150 lb-in Moment capacity 2 ult cr 1 M 3 bd E + 6 mw e m w   =    
  • 49. FULTON s c h o o l o f e n g i n e e r i n g Grace Strux Fibers
  • 50. FULTON s c h o o l o f e n g i n e e r i n g Fiber toughening Mechanism
  • 51. FULTON s c h o o l o f e n g i n e e r i n g Structural Design with FRC Materials: testing, modeling, analysis and Design Shotcrete applicationsElevated slabs Precast panels
  • 52. FULTON s c h o o l o f e n g i n e e r i n g Stress-Strain for Hardening and Softening FRC  Material parameters are described as a multiple of the first cracking tensile strain (ecr) and tensile modulus (E) Compression model Tension model
  • 53. FULTON s c h o o l o f e n g i n e e r i n g Evolution of Stress Distribution Profile (A) (B) (C)
  • 54. FULTON s c h o o l o f e n g i n e e r i n g Strain-Softening FRC 0 0.01 0.02 0.03 0.04 0.05 Deflection, in 0 200 400 600 800 1000 FlexuralLoad,lb Experiment Present Model L-056 : 9.5 lb/yd3 FibraShield sample 1 age: 14 days 0 400 800 1200 1600 Stress (psi) -2 -1 0 1 2 SpecimenDepth,(in) ARS Method, LE material ASU Method, Elastic Softening Stress Distribution Softening Zone L056-01
  • 55. FULTON s c h o o l o f e n g i n e e r i n g Size Effect- Back Calculation of UHPFRC- SFRC  Small: 50x25x300 mm  Medium: 100x100x300 mm  Large: 150x150x450 mm Kim D-J, Naaman AE, El-Tawil S. “Correlation between Tensile and Bending Behavior of FRC Composites with Scale Effect”, Proc FraMCoS-7, 7th International Conference on Fracture Mechanics of Concrete and Concrete Structures, May 23-28, 2010, Jeju Island, South Korea
  • 56. FULTON s c h o o l o f e n g i n e e r i n g Curve Fitting of ARS versus Post Peak Residual Strength (μσcr) Bakhshi M, Mobasher B. “Sustainable Design of Structural Concrete Materials”, SR-633 to Arizona Department of Transportation, Tempe, AZ, 2010. 1% steel Fiber 80kg/m3 steel Fiber 20-60 kg/m3 Kim D-J, Naaman AE, El-Tawil S. “Correlation between Tensile and Bending Behavior of FRC Composites with Scale Effect”, Proc FraMCoS-7, 2010, Jeju Island, South Korea
  • 57. FULTON s c h o o l o f e n g i n e e r i n g Comparison with JCI Method  JCI method overestimates the residual strength of – synthetic fibers by 1.4 times – steel fibers by 6.3 times Bakhshi M, Mobasher B. “Sustainable Design of Structural Concrete Materials: a Case Study of Incorporating Materials Science, Structural Mechanics, and Statistical Process Control”, A Report (SR-633) to Arizona Department of Transportation, Tempe, AZ, 2010.
  • 58. FULTON s c h o o l o f e n g i n e e r i n g Plastic analysis approach Distributed load on a simply supported square slab. The work equations are derived as: Where the resultant NR and rotation θ (from figure 9a) are: For the four segments with an NR acting at 1/3 of δmax : θ θ q δmax L L/2 L/2 m m A A δ Yield Line Square Slab Simply Supported int extW W= R( N ) ( M L )  =    2 2 2 4 R L L qL N q ( ) ( )=   = 2 max L   = 2 2 4 4 4 3 max max L qL ( ) ( ) ( M ) ( L ) ( )     =    2 24 ult p q L M =
  • 59. FULTON s c h o o l o f e n g i n e e r i n g Use of Yield Line Analysis and Design procedures int extW W= 2 2 P L M P P   = = 4 ult P P L M =
  • 60. FULTON s c h o o l o f e n g i n e e r i n g Round Panel Continuous Support Specimens
  • 61. FULTON s c h o o l o f e n g i n e e r i n g FRC for 2-way elevated slab structures Composition Amount Cement Type I 350 kg Fly ash 60 kg Aggregate (1.1:1) 1800 kg W/C < 0.5 Supper plasticizer 1.25 % by Vol. Vf = 80 - 100 kg/m3
  • 62. FULTON s c h o o l o f e n g i n e e r i n g Construction and Field Testing  Cast in place SFRC  Use minimum reinforcement along the column lines to prevent progressive collapse
  • 63. FULTON s c h o o l o f e n g i n e e r i n g Modeling of Failure Mechanisms Oberseite - ULS Mittellast S N West Ost Unterseite S N WestOst Durchgezogen: bis 200 kN gestrichelt: bis Brucklast
  • 64. FULTON s c h o o l o f e n g i n e e r i n g Specifications for Canal lining, WWF, or rebar replacement Fiber Reinforced Concrete Mix Photo Courtesy: Pima-Maricopa Irrigation Project, Sacaton, Arizona Traditional #5 rebar layout Photo Courtesy: Rick Shelly, Pulice Construction
  • 65. FULTON s c h o o l o f e n g i n e e r i n g Fiber-reinforced shotcrete for initial shaft sinking support • Deep shaft (2189 m), 9 m dia, copper mine • 400,000 tons copper per year for the next 40 years • Three geological units • A range of orthotropic stress conditions • Several modes of instability: gravity driven, rockmass shear yielding, brittle failure • The shotcrete system must achieve a high early strength and ductility within a short period (less than 24 hours).
  • 66. FULTON s c h o o l o f e n g i n e e r i n g Effect of curing age on flexural response 0 0.03 0.06 0.09 0.12 0.15 CMOD, inch 0 500 1000 1500 2000 2500 3000 Load,lbf 36 hrs - Sample 1 36 hrs - Sample 2 16 hrs - Sample 1 16 hrs - Sample 2 8 hrs - Sample 1 8 hrs - Sample 2 Three Point Bending Test Result Mix 1 10-12 lbs/yd3 of macro fibers
  • 67. FULTON s c h o o l o f e n g i n e e r i n g ASTM C1550-Round Panel 3P-support specimen
  • 68. FULTON s c h o o l o f e n g i n e e r i n g Analysis of Precast Wall Panels  Assume continuous wall, pin connection at the bottom and free at the top  Lateral water pressure in ultimate and serviceability limit states
  • 69. FULTON s c h o o l o f e n g i n e e r i n g Safety, mobilization, and Cost savings due to reduced section sizes
  • 70. FULTON s c h o o l o f e n g i n e e r i n g Analysis, Design and Installation of precast water tank panels  Load Case1: – Self weight + Water pressure – Moment in short span controls  Load Case2: – 1.4 Self weight + 1.7 Earth pressure + 1.7 Uniform pressure due to surcharge – Moment in short span direction SM1
  • 71. FULTON s c h o o l o f e n g i n e e r i n g Round Panel Tests  A round panel test is used to evaluate FRC  Test setup – displacement control – continuous support – center point load – measure load vs. mid span deflection  Dimensions – clear diameter 1500 mm – thickness = 150 mm – stoke diameter = 150 mm
  • 72. FULTON s c h o o l o f e n g i n e e r i n g Typical Crack Patterns  The test reveals unsymmetrical multiple radial crack patterns Vf = 80 kg/m3 Sample 8-02 Vf = 100 kg/m3 Sample 1-07
  • 73. FULTON s c h o o l o f e n g i n e e r i n g Typical Responses of a Full Model  In elastic range, the deformation is symmetrical such that symmetric criteria can be imposed as boundary conditions to improve the efficiency of the model  In plastic stage, strain energy density localizes in crack band regions
  • 74. FULTON s c h o o l o f e n g i n e e r i n g Test Results and Averaged Response  Load deflection responses of two mixes 0 10 20 30 Deflection (mm) 0 40 80 120 160 200 Load(kN) Samples 1-6 Average Vf = 80 kg/m3 Vf = 100 kg/m3 0 10 20 30 Deflection (mm) 0 40 80 120 160 200 Load(kN) Samples 1-9 Average
  • 75. FULTON s c h o o l o f e n g i n e e r i n g Material Properties from Calibration  The first cracking tensile strength from s-w are compared well with the plastic strength ftu from yield line theory 0 0.5 1 1.5 2 Crack Width (mm) 0 0.5 1 1.5 2 2.5 TensileStress(MPa) s-w relationship, E = 20 GPa,  = 0.15 (inverse analysis FEM) ftu = 2.11 MPa (yield line prediction) 0 0.5 1 1.5 2 Crack Width (mm) 0 0.5 1 1.5 2 2.5 TensileStress(MPa) s-w relationship E = 24 GPa, = 0.15 (inverse analysis FEM) ftu = 2.37 MPa (yield line prediction) Vf = 80 kg/m3 Vf = 100 kg/m3
  • 76. FULTON s c h o o l o f e n g i n e e r i n g Material Models  (a) rectangular cross section  (b) tension model  (c) compression model  (d) steel model
  • 77. FULTON s c h o o l o f e n g i n e e r i n g Fiber Reinforced Concrete for 2-way elevated slab structures Composition Amount Cement Type I 350 kg Fly ash 60 kg Aggregate (1.1:1) 1800 kg W/C < 0.5 Supper plasticizer 1.25 % by Vol. Vf = 80 - 100 kg/m3
  • 78. FULTON s c h o o l o f e n g i n e e r i n g Full Scale Elevated Slab  Vf=100 kg/m3 in construction  Square grid floor 18.3 m x 18.3 m (3 bays each direction)  Slab thickness of 0.2 m  Column size of 0.3 m x 0.3 m
  • 79. FULTON s c h o o l o f e n g i n e e r i n g Back view
  • 80. FULTON s c h o o l o f e n g i n e e r i n g Test rig centre span
  • 81. FULTON s c h o o l o f e n g i n e e r i n g Construction and Field Testing  Cast in place SFRC  Use minimum reinforcement along the column lines to prevent progressive collapse
  • 82. FULTON s c h o o l o f e n g i n e e r i n g Service Load, 4kNm² udl, (83 psf)
  • 83. FULTON s c h o o l o f e n g i n e e r i n g Edge Test
  • 84. FULTON s c h o o l o f e n g i n e e r i n g End of Test
  • 85. FULTON s c h o o l o f e n g i n e e r i n g 320kN cracking
  • 86. FULTON s c h o o l o f e n g i n e e r i n g Finite Element Model  For efficiency reason, model the slab for only the upper quarter
  • 87. FULTON s c h o o l o f e n g i n e e r i n g Crack Predictions Oberseite - ULS Mittellast S N West Ost Unterseite S N WestOst Durchgezogen: bis 200 kN gestrichelt: bis Brucklast
  • 88. FULTON s c h o o l o f e n g i n e e r i n g Load Deflection Response  FEM predicts stiffer response and higher capacity than the experiment  Yield line predicts the strength between the experiment’s and the FEM prediction’s Response Experiment FEM Yield line Pcr 230 kN 401.2 kN - cr 7 mm 3.0 mm - Pult 470 kN 542.8 kN 536.1 kN 0 50 100 150 Mid-Span Deflection (mm) 0 200 400 600 Load(kN) Simulation Experiment
  • 89. FULTON s c h o o l o f e n g i n e e r i n g Precast panels  Panels are made of plain concrete and steel rebar to be installed on site
  • 90. FULTON s c h o o l o f e n g i n e e r i n g
  • 91. FULTON s c h o o l o f e n g i n e e r i n g Installation of pre-cast water tank  Panels are assembled on site  The wall joints are connected using bolts and epoxy  The base slab is connected to the periphery walls by friction through slots
  • 92. FULTON s c h o o l o f e n g i n e e r i n g Analysis of Wall Panels  Assume continuous wall, pin connection at the bottom and free at the top  Lateral water pressure in ultimate and serviceability limit states
  • 93. FULTON s c h o o l o f e n g i n e e r i n g Critical Internal Forces  Critical moment, shear, and axial forces – Horizontal – Vertical  Design thickness and reinforcement for both – Ultimate – Serviceability
  • 94. FULTON s c h o o l o f e n g i n e e r i n g Cast in Place Water Tank  Finite element model – Shell elements  Lateral loading – Water – Earth pressure – Surcharge
  • 95. FULTON s c h o o l o f e n g i n e e r i n g Analysis Results  Load Case1: – 1.4 Self weight + 1.4 Water pressure – Moment in short span direction SM1  Load Case2: – 1.4 Self weight + 1.7 Earth pressure + 1.7 Uniform pressure due to surcharge – Moment in short span direction SM1
  • 96. FULTON s c h o o l o f e n g i n e e r i n g Economy- Specifications for Canal lining, WWF, or rebar replacement
  • 97. FULTON s c h o o l o f e n g i n e e r i n g Construction cleanup after flooding
  • 98. FULTON s c h o o l o f e n g i n e e r i n g ASU- Rio Tinto Project – Magma Copper mine, Superior , Arizona
  • 99. FULTON s c h o o l o f e n g i n e e r i n g Shotcrete Applications- ASU-Rio Tinto Project
  • 100. FULTON s c h o o l o f e n g i n e e r i n g ASTM 1550- Tests how do we extract material properties from these tests which can ultimately be used in design
  • 101. FULTON s c h o o l o f e n g i n e e r i n g ASTM C1550 0 1 2 3 Deflection (in) 0 2000 4000 6000 Load(lbf) R-CSA-16-1 R-CSA-16-2 R-CSA-16-3 R-CSB-16-1 R-CSB-16-2 R-CSB-16-3 R-HSA-16-1 R-HSA-16-2 R-HSA-16-3 R-HSB-16-1 R-HSB-16-2 R-HSB-16-3 10-12 lbs/yd3 of macro fibers Are the test results communicable between different geometries? Load Deflection results used for back-calculation of properties
  • 102. FULTON s c h o o l o f e n g i n e e r i n g Effect of curing age on flexural response 0 0.03 0.06 0.09 0.12 0.15 CMOD, inch 0 500 1000 1500 2000 2500 3000 Load,lbf 36 hrs - Sample 1 36 hrs - Sample 2 16 hrs - Sample 1 16 hrs - Sample 2 8 hrs - Sample 1 8 hrs - Sample 2 Three Point Bending Test Result Mix 1 10-12 lbs/yd3 of macro fibers
  • 103. FULTON s c h o o l o f e n g i n e e r i n g Inverse Analysis Procedures- Macro fiber dosage level 10 lb/yd3, 0 0.03 0.06 0.09 0.12 0.15 CMOD (inch) 0 500 1000 1500 2000 2500 Load(lb) Mix 3 at 36 hrs Sample 1 Simulation 1 Sample 2 Simulation 2 0 0.02 0.04 0.06 0.08 0.1 0.12 Crack Width (inch) 0 100 200 300 TensileStress(psi) Mix 3 at 36 hrs Simulation 1 Simulation 2
  • 104. FULTON s c h o o l o f e n g i n e e r i n g Closed-Loop Flexure Tests  89 KN closed-loop controlled testing machine.  Measure crack mouth opening and deflection of flexural prisms 100x100x368 mm in dimensions, 12 mm notch Vf = 20 Kg/m3 Vf = 10 Kg/m3 Vf = 5 Kg/m3 Control 0 0.2 0.4 0.6 0.8 1 Crack Mouth opening Displacement, mm 0 2 4 6 8 10 12 Load,KN Age = 28 Days W/C = 0.4 HP12
  • 105. FULTON s c h o o l o f e n g i n e e r i n g Theoretical Prediction of Load Deformation Response-Effect of Age on Flexural response 0.0 0.1 0.2 0.3 0.4 CMOD, mm 0 2000 4000 6000 8000 Load,N 3 days 28 days Model Prediction 3 Days Model Prediction 28 Days w/c = 0.55 Vf = 0.6 Kg/m3 0 20 40 60 80 100 Crack Extension, mm 0.00 0.05 0.10 0.15 0.20 R,N/mm Model Prediction 3 Days Model Prediction 28 Days w/c = 0.55 Vf = 0.6 Kg/m3 HD12mm
  • 106. FULTON s c h o o l o f e n g i n e e r i n g Whitetopping Project 0 0.01 0.02 0.03 0.04 0.05 Deflection, in 0 300 600 900 1200 1500 Load,lbs AR PP CTR CR Age = 28 Days 0 0.003 0.006 0.009 0.012 0.015 Circumferential Strain, in/in 0 1000 2000 3000 4000 5000 6000 7000 Stress,psi PP AR CTR CR Age = 28 days Compressive StrengthFlexural Strength