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Designing Concrete Mixture Proportions

• Dr. Peter Taylor PE (IL)

• Dr. Xuhao Wang

• Dr. Ezgi Yurdakul


Outline

Introduction

Proportioning:

Paste quality

Aggregate system

Paste quantity

In reality…

3


Proportioning Approaches

Past

• Structural concrete 1:2:4

• Other concrete 1:3:6

• Waterproof concrete

Add salt

• No chemicals

• No SCMs

• Precision was ugly

• Bulking made it worse

4


Proportioning Approaches

Present

• ACI 211

• Last revised in 1991

• Linear

• Developed

• Before water reducers

• Before supplementary cementitious materials

• Primarily focused on structural concrete

• 100 mm (4”) slump

• 30 MPa (~4000 psi)

5


Workability

6


Workability

7


Preconceptions

• More cement = more strength

• Strength is everything

• Slump indicates quality

• Gradations of individual fractions are critical

8


Design

• Choosing what you need

• Workability, setting time

• Durability, strength,

cracking risk

9


Proportioning

10


Proportioning

Filler

Gradation

Glue

What sort

How much

11


Proposed Mixture Proportioning

Procedure

Aggregate

system

Paste Quantity

Paste Quality

Koehler

12


How do we proportion to achieve

design goals?

Workability Transport Strength Cold

weather

Shrinkage

Aggregate

stability

Aggregate System Type, gradation - - - -

Paste quality

Air, w/cm, SCM

type and dose

Paste quantity Vp/Vv - - - -

13


Step 1 Paste Quality

• Binder type

• Cement type

• SCM type and dosage

• w/cm

• ~0.38-0.42

• Air void system

• <0.2 SAM

• <0.008 in. spacing factor

• >5% in place

• Stable

14


Step 2 Aggregate system

• Choices…

• 2 bins or 3?

• ASTM C33

• Or combined:

• Haystack

• Shilstone Plot

• Power 45

• Tarantula

15


Step 2 Aggregate system

• ASTM C33

16


Step 2 Aggregate system

• Haystack

17


Step 2 Aggregate system

• Power 45

18


Step 2 Aggregate system

• Shilstone

19


Step 2 Aggregate system

• Tarantula Curve

20


Step 2 Aggregate system

• What if we got a perfect Power 45

21


Step 2 Aggregate system

• 3 Combinations of the same materials

Traditional Power 45 Tarantula

Coarse Limestone 1" 60.0 47.5 44.9

Fine river sand 30.0 35.3 45.7

Int. Limestone 3/8" 10.0 17.2 9.5

22


Step 2 Aggregate system

• 3 Combinations of the same materials

23


VKelly

• Kelly ball test

• Developed in the 1950s in US

• Standardized in California DOT test

• Comparable to slump test

24


VKelly

• Measure initial slump (initial penetration)

• Start vibrator for 36 seconds at 8000 vpm

• Record depth every 6 seconds

• Plot on root time

• Calculate slope = VKelly Index

25


VKelly Index

0.80 1.1 in/√s

26


VKelly Index

1.1 in/√s

27


Step 2 Aggregate system

• Choose an aggregate system…

28


Step 2 Aggregate system

• Tarantula Curve

29


Step 3 Paste Content

30


Step 3 Paste Content

31


Step 3 Paste Content

32


Workability

33


Strength

34


Air Permeability

35


Rapid Chloride Penetration

36


Shrinkage

37


Step 3 Paste Content

• Effect of aggregate gradation

38


Step 3 Paste Content

• Need a minimum paste for workability

• Excess has a:

• Small negative effect on strength

• Negative effect on permeability, shrinkage, cost

• “Optimum” depends on:

• Aggregate type

• Gradation

• Binder type

• Typically Vv ~125-200%

39


Proposed Mixture Proportioning

Procedure

Aggregate

system

Paste Quantity

Paste Quality

Koehler

40


Doing the Sums

Project Effect of gradation 9/29/2016

Aggregate System

The wonders of

a spreadsheet and a

solver function…

Materials

Blue= Input Data

Red = Calculation Don’t touch!

Cementitious 472 Yellow = Output Don’t touch!

Coarse Agg 1" Black = Working Don’t touch!

Fine Agg

Sand

Intermediate 3/8"

Sieve Analysis Data

Max nominal aggregate size 1.00 inch (0.75, 1.0 or 1.5)

Coarse 1" Fine Sand Intermediate 3/8" Combined Fineness

Percent Cum. Sieve Modulus

Percent mass 100.0 44.9 45.7 9.4 Passing Retained Retained

Sieve: % Pass % Mix % Pass % Mix % Pass % Mix % % %

2" 100.0 44.9 100.0 45.7 100.0 9.4 100.0 0.0 0.0

1 1/2" 100.0 44.9 100.0 45.7 100.0 9.4 100.0 0.0 0.0

1" 99.0 44.4 100.0 45.7 100.0 9.4 99.6 0.4 0.4

3/4" 73.9 33.2 100.0 45.7 100.0 9.4 88.3 11.7 11.3

1/2" 37.5 16.8 100.0 45.7 100.0 9.4 71.9 28.1 16.3

3/8" 19.7 8.8 100.0 45.7 90.2 8.5 63.0 37.0 8.9 0.0

# 4 3.5 1.6 98.6 45.1 21.6 2.0 48.7 51.3 14.4 1.4

# 8 0.8 0.4 88.3 40.3 2.0 0.2 40.9 59.1 7.8 11.7

# 16 0.4 0.2 68.9 31.5 0.6 0.1 31.7 68.3 9.2 31.1

# 30 0.4 0.2 37.0 16.9 0.4 0.0 17.1 82.9 14.6 63.0

# 50 0.3 0.1 9.7 4.4 0.4 0.0 4.6 95.4 12.5 90.3

# 100 0.3 0.1 0.8 0.4 0.3 0.0 0.5 99.5 4.1 99.2

# 200 0.3 0.1 0.2 0.1 0.3 0.0 0.3 99.7 0.3

2.97

Coarsness Factor 62.55 Power 45 least difference 31.0 Tarantula error 0.0 4.5

Workability Factor 40.89 Power 45 error 350.2 113.7

Adjustments 0.00

Adjusted Workability Factor 40.89 Fine 31.5 24-34 23.9 34.1

Coarse 31.5 >15 15

Measure V a

Percent Retained

25

20

15

10

5

Tarantula

Greater than 15% on the sum of #8, #16 and #30

24-34% of fine sand (#30-200)

Percent Passing

100

80

60

40

20

Individual and Combined Gradations

C33

Sand

3/8"

1"

0

2"

1 1/2"

1"

3/4"

1/2"

3/8"

# 4

# 8

Sieve

# 16

# 30

# 50

# 100

# 200

0

# 200 # 100 # 50 # 30 # 16 # 8

Sieve

# 4

3/8" 1/2" 3/4"

1"

Combined

1

1/2"

2"

Power 45

Shilstone Chart

100

80

45

40

IV

Sandy

II

III

Small Agg

% Passing

60

40

20

0

Mixture

Max Density

Limits

#200 #50 #16 #4

1/2"

1" 2"

Sieve (^0.45)

Workability Factor

35

30

25

20

100

I

Gap

80

60

40

Coarseness Factor

V

Coarse

20

0

41


Doing the Sums

The wonders of a spreadsheet…

Paste Quality

Project Effect of gradation 9/29/2016

Materials

Targets

R.D.

Cement Type I 3.15

SCM 1 C Ash 2.65

SCM 2 Slag 1.00

Coarse Agg 1" 2.68

Fine Agg Sand 2.66

Intermediate 3/8" 2.68

Water 1.00

Blue= Input Data

Cementitious 472 pcy Red = Calculation Don’t touch!

w/cm 0.42 Yellow = Output Don’t touch!

Air % 5.0 % Black = Working Don’t touch!

% SCM 1 20 %

% SCM 2 0 %

Voids in aggregate 28.1 %

Required Vp/Vv 125 %

Strength psi 7 days

RCP coulomb 56 days

Wenner kΩ-cm 28 days

42


Doing the Sums

The wonders of a spreadsheet…

Mixture Proportions

Project Effect of gradation 9/29/2016

Mixture Proportions

Targets

Actual

Pounds R.D. Volume

Cement Type I 378 3.15 1.92

SCM 1 C Ash 94 2.65 0.57

SCM 2 Slag 0 1.00 0.00

Coarse Agg 1" 1495 2.68 8.94

Fine Agg Sand 1522 2.66 9.17

Intermediate 3/8" 314 2.68 1.87

Water 198 1.00 3.18

Air % 5.0 1.35 Blue= Input Data

4000 27.00 Red = Calculation Don’t touch!

Yellow = Output

Don’t touch!

Cementitious 472 472 pcy Black = Working Don’t touch!

Volume of paste 26.0 %

Volume of aggs 74.0 %

Volume of voids 20.8

vp/vv 125 125.0 5.2

w/cm 0.42 0.42

% SCM 1 20 20 %

% SCM 2 0 0 %

Mass aggs 3330 3330 pcy

43


Does it Work?

• Local project – as built

44


Trial Batches

• Workability / Admixture dosages / Void ratio

• Air void system

• Setting

• Strength gain

• Permeability

45


Why bother?

• Save money

• Improve Sustainability

• Better product

46

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