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3/9/2020
1
CONCRETE MIX DESIGN:
WHAT TO LOOK FORKEN HOVER, P.E.
CORNELL UNIVERSITY, ITHACA, NY
Description:
Concrete Mix Design can be as simple as the time-honored
1:2:3 blend of cement, sand, and stone. Or it can be as
complicated as 1, 2, 3, or 4 cementitious materials and up to
5 aggregate bins. But there are a few fundamental principles
that apply to all concrete mixes, and understanding those
principles can help you troubleshoot, modify, or adjust a mix
to produce the results that you need.
LEARNING OBJECTIVES
1. Understand why water-control is essential.
2. Know what to look for in aggregate size, shape, and textures
3. Recognize the advantages and disadvantages of supplementary cementitious materials and admixtures.
COPYRIGHT MATERIALS
This presentation is protected by US and International
copyright laws. Reproduction, distribution, display and
use of the presentation without permission of the
speaker is prohibited.
© Kenneth C. Hover, P.E.
THANK YOU FOR BEING HERE!
Ken Hover
Cornell University, Ithaca, New
York
I will be happy to say in the room afterwards
to respond to your questions and comments!
3/9/2020
2
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Lots of ways to get there-- few basic principles for how
Proportions InfluenceConcrete Performance!
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Mix Design Objectives:
• Will meet fresh & hardened concrete specs.
• Can be consistently produced with available materials
• Can be placed, consolidated, and finished.
Generate a Trial Mixthat after testing andadjustment:
Concrete
Supplier
Designer /
Specifier
The Mix Design Process
Contractor
Sources of Mix Design Help
•Materials Suppliers
•Materials Consultants
•Test Labs
Plans, Specs, Stds., Codes→
• Max Agg size
• Max w/cm
• f’c, fr, Ec
• Exposures
Contract Documents
Concrete
Supplier
Designer /
Specifier
The Mix Design Process
Contractor
Mixture Submittal
• Materials
• Batch wts.
• w/cm
• Air
• Prob. f’c, fr, Ec
The Submittal
Mix Proportions Material Data Test Results
3/9/2020
3
Mix Submittal
From Concrete
Supplier:
•TO Contractor
•TO Architect
•TO Engineer
Green Hawaii Project
Mix Proportions
How is it done?
• Adjust from known mixes (most common)
• Local Experience
• Tradition (e.g., “Sacks”)
• Empirical methods (experience-based)
• Mathematical Computational methods
• Some combination of methods
Clairvoyance, Mysticism, Mythology
The number of concrete producers we have in the room right now…
…is the number of useful and unique methods for concrete mix designIn the room right now!
One available option: ACI 211.1
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Let’s take a look inside the concrete…
3/9/2020
4
Aggregate~5X Stiffer than Paste
Agg. Stress ~5X
Paste Stress
More Abrasion
Resistant
Denser
Stable Volume
PasteSoft, Porous,
Low Stiffness
Chemically Active,
(Sulfates, Alkalis, Acids)
Gives-off Heat
Absorbent, Freeze-thaw
Vulnerability
Shrinks
Paste Layer
Aggregates Paste
Aggregates can Move in Workable Concrete
LubricantFresh
Concrete
Cement paste as a lubricant for aggregate particles
Aggregates Paste
LubricantFresh
Concrete
Hardened
ConcreteAdhesiveHardened
ConcreteAdhesive
3/9/2020
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Paste
Agg.
Gluing Blocks
Together…
Powdered Wood Glue
Powdered Wood Glue
Share Two Great Truths:
PowderedCement
“Just Add Water”
Start w/ fixed wt. of powdered adhesive
Flu
idity o
f G
lue
Amt. Water Added
Start w/ fixed wt. of powdered adhesive
Approximate quantity of mix water prior to adjustmentfor aggregate, air, or water reduction. First estimate based on slump and nominal max. aggregate size only. Adapted from ACI 211.1-91, Table 6.3.3
Nominal maximum aggregate size--in. (mm)
1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (
13 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
26
0
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
Water Content (Lbs/CY)
0
1
2
3
4
5
6
7
8
Slu
mp (
inches)
BasWater00.grf
0
25
50
75
100
125
150
175
200
Slu
mp (
mm
)
15
0
16
0
17
0
18
0
19
0
20
0
21
0
22
0
23
0
24
0
Water Content (kg/m3)
Basic Water Requirement
Water Content
Flu
idity
3/9/2020
6
Aggregates Paste
LubricantFresh
Concrete
Hardened
ConcreteAdhesiveHardened
ConcreteAdhesive
Bond Strength of the “Glue” or “Paste”
Glu
e B
ond S
trength
Amt. Water Added
Start w/ fixed wt. of powdered adhesive
Weight of Water
Weight of Cement + SCM
Type IType IASH
The higher the w/c or w/cm,
the more dilute the adhesive!
w/cm =
ASH
0.40 0.50 0.60 0.70 0.80
Water Cement Ratio
1000
2000
3000
4000
5000
6000
28-D
ay C
om
pre
ssiv
e S
tre
ngth
Approximate 28-Day Compressive Strengthas a function of Water/Cement Ratio.Adapted from ACI 211.1-91, Table 6.3.4(a)
Non Air-Entrained Concrete (about 2% air)
Air-entrained concrete (about 6% air)
Avg. 28-Day
Compression
Strength
ACI 211.1
Guide to
Proportioning
Amt. Water Added
Start w/ fixed wt. of powdered adhesive
Two Contrary Forces in
the Concrete Universe
Amt. Water Added
Increase powdered adhesive AND water at fixed ratio…
Strength
3/9/2020
7
0.30 0.40 0.50 0.60 0.70 0.80
1600
1200
800
400
Mic
rostr
ain
Water / cementAfter Nawy
30% Paste
20% Paste
40% Paste
Inches of shrinkage per 100 feet
2
1
1-1/2
1/2
WaterCement
AirSand
Coarse
Typical Volumetric Proportions
Paste
Paste
plus
Air
1.) Enough paste to coat all aggs. & air bubbles.
2.) Enough air to protect the paste (18% paste vol.)
3.) Paste is soft, absorbent, hot, and expensive
4.) Paste shrinks; rocks and sand usually don’t
25-30%
27-38%
Air2-8%
Mo
rtar
Co
ncre
te
1.) Need enough mortar to coat all coarse agg.
2.) Too much mortar clogs the pump
100%
50-60%
~50% ~60%RoundedGravel
Crushed Stone
Mortar Vol. Fraction
Pumping an
Over-Sanded Mix
Conc. Pump Pipe Paste Layer
Mortar Zone
Concrete/
Coarse
Aggregate
Zone
Pressure De-watering
of an Over-Sanded Mix
Leak in Pipe Joint Seal
Conc. Pump Pipe Pipe Joint
3/9/2020
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Aggregates Paste
LubricantFresh
Concrete
Hardened
ConcreteAdhesiveHardened
ConcreteAdhesive
How Much “Glue” or “Paste” Do We Need?
Thickness
and Viscosity
of Lubricating
Layer
Greased Bearings
Aggregates Paste
Aggregates can Move in Workable Concrete
Thickness and Viscosity
of Lubricating
Paste Layer
Thickness of Paste Layer Depends on:
Volume of Paste (Cement + Water)
And Size and Surface Area of Aggregates
How much glue
will we need?Depends on surface area
and glue thickness
Paste
Agg.
Paste Vol. FractionDepends on:
Aggregatesurface area
Thickness ofpaste layer
3/9/2020
9
How much Jam
do you need to
Jam a whole loaf
of bread?
Thick-Sliced
Thin-Sliced
Thin-Sliced Bread @ 3/8 inch
Thick-Sliced Bread @ 5/8 inch
Texas Toast @ ~ 1-1/2 inches
Jam-Thickness @ 3/16 inches
0%
10%
20%
30%
40%
50%
60%
Texas Toast Thick SlicedSandwich
Thin SlicedSandwich
Jam Volume / Toast Volume
Smaller Aggregate:
More paste required/CY conc.
Aggregates Paste
LubricantFresh
Concrete
Hardened
ConcreteAdhesiveHardened
ConcreteAdhesive
Thicker paste layer promotes workability
Thicker paste layer may not increase strength
Smaller Aggregate:
More paste required/CY conc.(Cement wt. )
Less room for aggregate/CY conc.(Agg wt. )
Neville’s Cement Triangle
Hydration
HeatShrinkage
• Slump Loss• Setting• Strength• Stiffness
• Thermal Cracking• Strength Effects
• Curling• Cracking• Complaining
3/9/2020
10
0.30 0.40 0.50 0.60 0.70 0.80
1600
1200
800
400
Mic
rostr
ain
Water / cementAfter Nawy
30% Paste
20% Paste
40% Paste
Inches per 100 feet
2
1
1-1/2
1/2
Smaller AGG
Hig
he
r A
ir
Mo
re P
aste
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Proportioning by Principles
ACI 211.1
One of several combinations of fundamentals,
experience, tradition,and common sense
Not Code, Not Specification, Not Specifiable Document
Water
Cement
Air
SandCoarse
Designing for fixed volume ( 1 CY or 1 m3)
Backbone of the ACI 211.1 Thought Process:
Water
Cement
Air
SandCoarse
Start with Nominal Coarse Agg. Size:1
3/9/2020
11
About ¼ min.
pipe inside dia.
AGG-SIZE Rules
ARE
Code Provisions
AGG-SIZE Rules
ARE
Code Provisions
Cracking in Thin Concrete Overlays:
Small Aggregate → High Paste → High ShrinkageLarge Drying Surface / Concrete Volume Ratio
AGG-SIZE Rules
ARE
Code Provisions
Reality v. FantasyClosely-Spaced Reinforing: “Rebar Sieve”Small Aggregate → High Paste → High ShrinkageVibrator Clearance?
Water
Cement
Air
SandCoarse
Designing for fixed volume ( 1 CY or 1 m3)
Water req’d for Workability = f(slump,agg )2 Aggregate Size
and Surface Area
3/9/2020
12
Approximate quantity of mix water prior to adjustmentfor aggregate, air, or water reduction. First estimate based on slump and nominal max. aggregate size only. Adapted from ACI 211.1-91, Table 6.3.3
Nominal maximum aggregate size--in. (mm)1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (
13 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
26
0
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
Water Content (Lbs/CY)
0
1
2
3
4
5
6
7
8
Slu
mp (
inches)
BasWater00.grf
0
25
50
75
100
125
150
175
200
Slu
mp (
mm
)
15
0
16
0
17
0
18
0
19
0
20
0
21
0
22
0
23
0
24
0
Water Content (kg/m3)
Basic Water Requirement
Approximate quantity of mix water prior to adjustmentfor aggregate, air, or water reduction. First estimate based on slump and nominal max. aggregate size only. Adapted from ACI 211.1-91, Table 6.3.3
Nominal maximum aggregate size--in. (mm)
1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (
13 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
260
280
30
0
32
0
34
0
360
38
0
40
0
42
0
Water Content (Lbs/CY)
0
1
2
3
4
5
6
7
8
Slu
mp (
inches)
BasWater00.grf
0
25
50
75
100
125
150
175
200
Slu
mp (
mm
)
15
0
160
170
180
190
20
0
21
0
22
0
23
0
24
0
Water Content (kg/m3)
Basic Water Requirement
1-inch stone at 4-inch slump
“About 1-inch slump gain for 1 gallon per yard”
Approximate quantity of mix water prior to adjustmentfor aggregate, air, or water reduction. First estimate based on slump and nominal max. aggregate size only. Adapted from ACI 211.1-91, Table 6.3.3
Nominal maximum aggregate size--in. (mm)
1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (
13 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
260
280
30
0
32
0
34
0
360
38
0
40
0
42
0
Water Content (Lbs/CY)
0
1
2
3
4
5
6
7
8
Slu
mp (
inches)
BasWater00.grf
0
25
50
75
100
125
150
175
200
Slu
mp (
mm
)
15
0
160
170
180
190
20
0
21
0
22
0
23
0
24
0
Water Content (kg/m3)
Basic Water Requirement
3/4-inch stone at 2-inch slump
About 1-inch slump gain for 2 gallons per yard
Approximate quantity of mix water prior to adjustmentfor aggregate, air, or water reduction. First estimate based on slump and nominal max. aggregate size only. Adapted from ACI 211.1-91, Table 6.3.3
Nominal maximum aggregate size--in. (mm)
1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (
13 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
260
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
Water Content (Lbs/CY)
0
1
2
3
4
5
6
7
8
Slu
mp (
inches)
BasWater00.grf
0
25
50
75
100
125
150
175
200
Slu
mp (
mm
)
15
0
16
0
17
0
18
0
19
0
20
0
21
0
22
0
23
0
24
0
Water Content (kg/m3)
Basic Water Requirement
Gallons Water Added/CY to DOUBLE the slump
2.2 2.2 2.2 2.6 2.8 3.4
Increasing Water Content is not the only way to increase slump
But, adding water is the:
Cheapest wayQuickest way
Most readily available waySometimes the only way on-site
Most effective way to: lower strength & durability, and increase shrinkage
-30% -25% -20% -15% -10% -5% 0% 5% 10% 15% 20% 25% 30%
Percentage Adjustment in Water Content
Aggregate Shape and Texture (-5 to +5%)
Combined Aggregate Grading (-10 to + 10%)
Air Entrainment (-10 to 0%)
Normal Range Water Reducer (-10 to -5%)
Mid-Range Water Reducer (-15 to -8%)
High-Range Water Reducer (-30 to -12%)
Mineral Admixtures (-10 to +15%)
Other Factors (-10 to +10%)
-30% -25% -20% -15% -10% -5% 0% 5% 10% 15% 20% 25% 30%
Decreased Water Demand Increased Water Demand
fly ash silica fume
round, smooth flat, elongated, rough
well-graded gap-graded
6-10% air 1-3% air
coarse cement, high w/cm, cold conc. fine cement, low w/cm, hot conc.
high dose low dose
high dose low dose
high dose low dose
Additional
Factors
Influencing
Workability
Suggesting %
increase or
decrease in
Water Demand
(relative to data
on previous
graphs)
3/9/2020
13
Water-Addition
Nature’s Own Plasticizer!
Strength-Reducer
Durability-Reducer
Surface-Softener
Shrinkage-Increaser
Is there a
way to
gain
workability,
and maintain
quality?Fabric
Softener
Technology
Water
Reducing
Admixtures
•Normal
•Mid-Range
•High-Range
Cement grains dispersed in water
Mutual attraction of charged particles
3/9/2020
14
Water-Reducer Molecule
No water
reduction
5% water
reduction
10% water
reduction
Same Benefit: Mid-Range Water-Reducer or Changing agg. from 19 to 38 mm
3/9/2020
15
15% water
reduction
10% Effective Mid-Range Water as a Slump Increasing Admixture
Effective as
10% water
Addition
-30% -25% -20% -15% -10% -5% 0% 5% 10% 15% 20% 25% 30%
Percentage Adjustment in Water Content
Aggregate Shape and Texture (-5 to +5%)
Combined Aggregate Grading (-10 to + 10%)
Air Entrainment (-10 to 0%)
Normal Range Water Reducer (-10 to -5%)
Mid-Range Water Reducer (-15 to -8%)
High-Range Water Reducer (-30 to -12%)
Mineral Admixtures (-10 to +15%)
Other Factors (-10 to +10%)
-30% -25% -20% -15% -10% -5% 0% 5% 10% 15% 20% 25% 30%
Decreased Water Demand Increased Water Demand
fly ash silica fume
round, smooth flat, elongated, rough
well-graded gap-graded
6-10% air 1-3% air
coarse cement, high w/cm, cold conc. fine cement, low w/cm, hot conc.
high dose low dose
high dose low dose
high dose low dose
Reasons that
slump is not a
consistent or
reliable indicator
of water content.
At a constant
water content, a
change in any
one or more of
these factors will
produce a
different slump.
Water
Cement
Air
SandCoarse
Water Wt. / Density = Water Vol. /CY or /m3)
Batch Wt. of Water = f(slump, agg size)2
Water
Cement,CM
Air
SandCoarse
Designing for fixed volume ( 1 CY or 1 m3)
Required Total Cementitious Materials3
Find required w/cm3aA Deeper
LookInside the concrete:
3/9/2020
16
Velcro
Water / Cement Ratio
W / C = 0.70
Water / Cement Ratio
W / C = 0.54
Water / Cement Ratio
W / C = 0.42
Water / Cement Ratio
W / C = 0.33
3/9/2020
17
3-Point Curve
0.30 0.40 0.50 0.60 0.70 0.80 0.90
w/cm Ratio
2000
3000
4000
5000
6000
7000
Ave
rag
e 2
8-d
ay C
om
pre
ssiv
e S
tre
ng
th (
psi)
0.40 0.60 0.80
2000
3000
4000
5000
6000
7000
ACI 211 Data, Air 2% or less
For 6-Sack
Mix lose
150 psi per
gallon/CY
ACI 211 Data, Air 2% or less
0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8
Water / Cement
0
1E-010
2E-010
3E-010
4E-010
5E-010
Pe
rme
ab
ility
m/s
ec/u
nit g
rad
ien
t
10
20
30
40
50
Ave
rag
e 2
8-D
ay C
om
pre
ssiv
e S
tre
ng
th (
MP
a)
Estim
ated Strength, N
on-Air E
ntrained
Estimated Strength, Air-Entrained
38 mm
Agg.
AC
I 3
18
Co
de
Lim
its
for
Co
rro
sio
n P
rote
ctio
n
AC
I 3
18
Co
de
Lim
its
for
Fre
eze
-Th
aw
Pro
tectio
n
Range of Values
U.S.B.R.
Building Code Requirements
All 50 States and
All U.S. Territories
Water
Cement,CM
Air
SandCoarse
Designing for fixed volume ( 1 CY or 1 m3)
Required Total Cementitious Materials3a
3/9/2020
18
Water
Cement,CM
Air
SandCoarse
(CM Wt./CY) / Density = CM Vol. /CY (or /m3)
CM Wt.= Water Wt. / (w/cm)
Definition: (w/cm) = (wt. water) / (wt. cm)
Pick Any Two!Somebody
has to pay Extrafor the Third One
This DeterminesWorkability
This DeterminesStrength and Durability
This DeterminesCost, Shrinkage, Heat, Carbon
Footprint, & Chemical Reactivity
160
180
200
220
240
260
280
300
320
340
360
380
400
420
440
460
480
500
Adjusted Water Content (lb/CY)
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
1300
Ce
me
nt
Co
nte
nt
(lb
/CY
)
0
1
2
3
4
5
6
7
8
9
10
11
12
13
Ce
me
nt
Co
nte
nt
(Sa
ck
s/C
Y)
0.40
0.50
0.60
0.70
Water/Cement Ratio
Cement
Wt.
=Water Wt.
w/c
A
Great
Truth!
Incr.
Workability
Dec
rea
se
w/c
m
Off-set with WRA,
Air, Grad., SCM
Incr
ease
to
tal
cm
16
0
18
0
20
0
22
0
24
0
26
0
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
44
0
46
0
48
0
50
0
Adjusted Water Content (lb/CY)
3
4
5
6
7
8
9
10
11
12
13
14
Pa
ste
Vo
lum
e (
ft3/C
Y)
10
15
20
25
30
35
40
45
50
55
Pa
ste
Vo
lum
e F
rac
tio
n (
% o
f C
on
c. V
ol.)
0.70
0.40
0.50
0.60
Low Shrinkage Zone
High Shrinkage Zone
Water/Cement Ratio
Incr.
Workability
Dec
rea
se
w/c
m
Off-set with WRA,
Air, Grad., SCM
Off-set
with SRA
Incr
ease
Pa
ste
& S
hri
nk
ag
e
Water
Cement,CM
Air
SandCoarse
Designing for fixed volume ( 1 CY or 1 m3)
Cement + Supplementary Cementitious Materials3b
Supplementary Cementitious Materials: “Reactive Silica”
•Fly ash
•Ground Granulated
Blast Furnace Slag
•Silica Fume
•Metakaolin
•Natural Pozzolans
3/9/2020
19
Volcanic Ash
(Rapid Cooling)
Liquid Drops of
melted Silicon
Dioxide Solidify to
Glass
Pozzolan Production (Schematic)
Pozzolans are
“Reactive Silica”
• Glass
• React with Calcium Hydroxide
• Given:
HEAT
WATER
TIME
Active Ingredients:
Portland Cement
Silicon Dioxide
Calcium Oxide
Aluminum Oxide
Iron Oxide
Portland Cement
TYPE I / IIActive ingredients: SiO2, CaO, Al2O3, Fe2O3
Ithaca
Cement Co.
Active Ingredients:
Flyash
Silicon Dioxide
Calcium Oxide
Aluminum Oxide
Iron Oxide
Flyash
TYPE FActive ingredients: SiO2, CaO, Al2O3, Fe2O3
Ithaca
Flyash Co.
3/9/2020
20
Portland Cement Coal Fly Ash Silica Fume
Water
Cement
Air
SandCoarse
Designing for fixed volume ( 1 CY or 1 m3)
Required Air Content
Table 19.3.3.1—Total air content for concrete exposed to cycles of freezing and thawing
Nominal maximum
aggregate size, in.
Target air content, percent
F1 F2 and F3
3/8 6 7.5
1/2 5.5 7
3/4 5 6
1 4.5 6
1-1/2 4.5 5.5
2 4 5
3 3.5 4.5
4
Smaller AGG
Hig
he
r A
ir
250 260 270 280 290 300 310 320 330 340 350
Water Content lb/CY
1
2
3
4
5
6
7
8
9
10
11
Re
qu
ire
d A
ir C
on
ten
t in
Co
ncre
te (
%)
90 95 100 105 110 115 120
Water Content kg/m3
Average Bubble Radius = 7 mils
Average Bubble Radius = 6 mils
Average Bubble Radius = 5 mils
Average Bubble Radius = 4 mils
Average Bubble Radius = 3 mils
= 430 in2 / in
3
= 500 in2/in
3
= 600 in2/in3
= 750 in2/in3
= 1000 in2/in3
w/c = 0.45
Ave
rag
e B
ub
ble
Ra
diu
s
w/c = 0.45
270 lb/CY
= 750 in2/in3
3.0% air OK!
Water
Cement
Air
SandCoarse
Air Vol. = Air% x Concrete Vol. / CY or /m3
Required Air Volume
Since aggregate is less expensive, less-porous, less reactive *ASR, harder, higher modulus, and less shrinkable…
How much can we use?
3/9/2020
21
Water
Cement
Air
FineCoarse
Volagg = Total Vol- Volw – Volcm - Volair
Required Aggregate Volume-Typical
Concrete producer usually knows
best blend of local agg sizes.
5
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Trial & Error Process: Batch / Evaluate / Adjust / Batch Again…
Field experience with job-materials ALWAYS BEATS
Graphs, charts, and tables
Nominal maximum aggregate size--in. (mm)
1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (1
3 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
26
0
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
Basic Water Content (lb/CY)
0
1
2
3
4
5
6
7
8
Slu
mp
(in
che
s)
160
200
240
280
320
360
400A
dju
ste
d W
ate
r C
on
ten
t (l
b/C
Y)
24
0
26
0
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
Basic Water Content (lb/CY)
15.00 20.00 25.00 30.00 35.00 40.00 45.00
Paste Volume (% of Total Concrete Volume)for OPC Mixture
160
200
240
280
320
360
400
Adju
ste
d W
ate
r C
onte
nt
(lb
/CY
)
4 5 6 7 8 9 10
11
12
Paste Volume (ft3/CY) for OPC
Basic Water Requirement
Adjusted Water Requirement
1.2
Water Reduction Factor
1.1
1.0
0.9
0.8
0.7
0.70w/c 0.60 0.50 0.40
Paste Vol. for OPC
High Shrinkage Zone
16
0
18
0
20
0
22
0
24
0
26
0
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
44
0
46
0
48
0
50
0
Adjusted Water Content (lb/CY)
3
4
5
6
7
8
9
10
11
12
13
14
Pa
ste
Vo
lum
e (
ft3/C
Y)
10
15
20
25
30
35
40
45
50
55
Pa
ste
Vo
lum
e F
rac
tio
n (
% o
f C
on
c. V
ol.)
0.70
0.40
0.50
0.60
Low Shrinkage Zone
High Shrinkage Zone
Water/Cement Ratio
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
“…intended for guidance… Reference…shall not be made in the Project Documents.”
“…methods provide a first approximation of proportions intended to be checked by trial batches… and adjusted, as necessary.”
3/9/2020
22
We call this “Mix Design” But is it really “Design?”
YES—IN the sense of a creative, decision-making process with clearly defined input and output.
YES—IT can be a challenging intellectual activity, requiring training in industrial guidelines.
No--in the sense of codified procedures with analytically demonstrated, appropriate solutions.
It is still primarily a trial-and-error process. Predicted outcomes have to be verified with test results. No Guaranteed Methods!
We do not have to Load-Test
every structure we design.
Trial and Error Process:Batch / Evaluate /Adjust / Batch Again…
We do have to test
every single “Trial Batch”
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Workability w/cm Total cm
Dictates water content &
admixtures
Dictates strength& durability
Dictates shrinkage, heat, alkalis, CO2 and
Cost
“Higher is Better” “Lower is Better” “Lower is Better”
High Low High cm
Low Slump Low Low
High High w/c Low
Slump w/cmTotalcm
Pick Any Two…
But somebody has to pay extra for the third!
3/9/2020
23
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE Fixed Volume
System
Cannot Change only
one component
• Objectives of Mix Proportioning Methods
• General Mixture Behavior
• ACI 211.1 thought process
• Caution Flags
• Performance is the goal
• Implications of phrase “Mix Design”
• Pick Any Two…
• Cannot change one parameter only
• Floyd Slate’s Rule:(“Everything affects everything else.”)
OUTLINE
Everything
Affects
Everything
Else!--F.O. Slate
Approximate quantity of mix water prior to adjustmentfor aggregate, air, or water reduction. First estimate based on slump and nominal max. aggregate size only. Adapted from ACI 211.1-91, Table 6.3.3
Nominal maximum aggregate size--in. (mm)
1-1
/2 in
. (3
8 m
m)
1 in
(25 m
m)
3/4
in (1
9 m
m)
1/2
in (
13 m
m)
3/8
in (
10 m
m)
2 in
(5
0 m
m)
24
0
260
28
0
30
0
32
0
34
0
36
0
38
0
40
0
42
0
Water Content (Lbs/CY)
0
1
2
3
4
5
6
7
8
Slu
mp (
inches)
BasWater00.grf
0
25
50
75
100
125
150
175
200
Slu
mp (
mm
)
15
0
16
0
17
0
18
0
19
0
20
0
21
0
22
0
23
0
24
0
Water Content (kg/m3)
Basic Water Requirement
Water, cm, CO2, Air, Shrinkage, Cost
Source: ACI 211.1
Smaller Aggregate
• Principles govern performance
• Mixes based on Unique Characteristicsof Local Materials
• When you know what to look for, youcan:
• Track behavior of your mixes andmaterials
• Calibrate general relationships
• Make predictions
CONCLUSIONS
3/9/2020
24
THANK YOU FOR BEING HERE!
Ken Hover
Cornell University, Ithaca, New
York
I will be happy to say in the room afterwards
to respond to your questions and comments!
Questions?
Please complete the session evaluation on the CONEXPO –CON/AGG Mobile App. This is the same place you can log Professional Development Hours (PDH).