1
CHAPTERTHREE
ACI MIX DESIGN
METHOD
OUTLINES
 VOLUME OF FRESH CONCRETE
 CONCRETE MIX DESIGN
2
VOLUME OF FRESH CONCRETE
 The volume of the fresh concrete is equal to the sum of the absolute
volumes of its components, including the naturally entrapped or
purposely entrained air.
 VCon = Va + Vw + Vc + Vfa + Vca
Where:
Vcon = Volume of the fresh concrete
Va = Volume of the air
Vw = volume of the water
Vc= absolute volume of the cement
Vfa = absolute volume of the fine aggregate
Vca = absolute volume of the coarse aggregate
3
MIX DESIGN
 Mix design is the selection of mix ingredients and their
proportions.
 The purpose of a concrete mix design is to have economical
mix proportions for the available concreting materials which
has adequate workability to be placed in its final position on
site.
4
5  Goals:
 Maximize strength
= minimize water
= control bleeding & segregation
 Reduce Cost
= use largest gravel possible for the job
= minimize paste requirement
 Provide good durability
= use well graded aggregates
= maximize void packing
= reduced segregation
Information required for mix design
 Sieve analysis of fine and coarse aggregates.
 Unit weight of coarse aggregate.
 Specific gravities of fine, coarse aggregates and Portland
cement and other cementations materials, if used.
 Water absorption value of aggregates.
 Moisture content of aggregates.
6
ACI Standard Mix Design Method
 The standard ACI mix design procedure can be divided
into 8 basic steps:
1. Choice of slump
2. Maximum aggregate size selection
3. Mixing water and air content selection
4. Water-cement ratio
5. Cement content
6. Coarse aggregate content
7. Fine aggregate content
8. Adjustments for aggregate moisture
7
Step #1: Select Slump
8
9
 DEFINITION: Nominal maximum aggregate size is the largest
sieve that retains some of the aggregate particles.
 ACI Limits:
 1/3 of the slab depth
 3/4 of the minimum clear space between bars/form
 Aggregate larger than these dimensions may be difficult to
consolidate and compact resulting in a honeycombed
structure or large air pockets.
Step #2: Max. Agg. Size Check
Step #3: Determine Mixing Water and Air
Content
10
11 Step #4: Select W/C Ratio
Step #5: Cement Content
 The calculated cement amount is based on the selected
mixing water content and water-cement ratio.
 W/C= Wt. of Water
Wt. of Cement
12
13
Step #6: Coarse Agg. Content
Step #7: Fine Agg. Content
14
15 Step #8: Batch Weight & Water
Adjustment
 Aggregate weights.
 Aggregate volumes are calculated based on oven dry unit
weights, but aggregate is batched in the field by actual weight.
 Any moisture in the stockpiled aggregate will increase its weight.
 Without correcting for this, the batched aggregate volumes will
be incorrect.
 Amount of mixing water.
 If the batched aggregate is anything but saturated surface dry it
will absorb water (if dry) or give up water (if wet) to the cement
paste.
 This causes a net change in the amount of water available in the
mix and must be compensated for by adjusting the amount of
mixing water added.
16 Mix Design Example:
25cm Thick Unreinforced Pavement
Slab
Properties of Footing Concrete
Specified By Engineer:
 Slump = 2.5cm
 28-day strength of 34.5MPa
 Air content: 4.5 - 6.5 percent
17
18
Information About Materials:
 Coarse aggregate :
 nominal maximum size = 37.5mm
 dry-rodded weight = 1600 kg/m3
 specific gravity = 2.68
 moisture content = 1.0 percent
 absorption = 0.5 percent
 Fine aggregate:
 fineness modulus = 2.80
 specific gravity = 2.64
 moisture content = 5 percent
 absorption = 0.7 percent
19
Step #1: Select Slump
 Engineer Specified 2.5cm (correlates w/table)
20
 ACI Limits:
 1/3 of the slab depth
 250mm/3 =83.33mm > 37.5mm OK
Step #2: Max. Agg. Size Check
21 Step #3: Determine Mixing Water
and Air Content 37.5mm Stone
2.5 cm Slump
22
Weight of Water = 148 kg/m3
Volume of Water =148 kg/m3 = 0.148m3
1000 kg/m3
Volume of Water = 148liters per cubic meter of
concrete
23
Step #4: Select W/C Ratio
Step #5: Cement Content
24
 W/C= Wt. of Water
Wt. of Cement
 Wt. of Cement = 148 kg/m3
0.40
=370kg/m3
Volume of Cement = 370 kg/m3 (Concrete)
3.15 x 1000kg/m3
Volume of Cement = 0.117m3 per cubic meter of concrete
25
Step #6: Coarse Agg. Content
Weight (Dry) =.71 x 1600 kg/m3 = 1,136 kg
Volume = 1,136 kg = 0.42 m3
2.68 x 1000kg/m3
26
Dry Rodded Unit Wt of Stone
SG Stone
27
Step #7: Fine Agg. Content
1m3 Cubic meter of Concrete
0.148m3 Water
0.055m3 Air
0.117m3 Cement
0.42m3 Stone
0.26m3 Sand
Wt of Sand(Dry) = 0.26m3 x 2.64 x 1000kg/m3 = 686.4 kg.
SG Sand
28
Step #8: Aggregate Batch Weights
& Water Adjustment
 Wt of Stone(Wet) = 1,136 kg x 1.01= 1,147.4kg
 Wt of Sand(Wet) =686.4 kgx 1.05= 720.7kg
1% Moisture
5% Moisture
29
Mixing water needs to be adjusted. Both the coarse and fine
aggregate are wet and will contribute water to the cement
paste.
Water from Stone = 1,136 kg x (.01-.005) = 5.68kg
Water from Sand= 686.4 kg x (.05-.007) = 29.52kg
Water = 148kg – 5.68kg– 29.52kg= 112.8kg
Moisture
Dry Wt. Absorption
Dry Wt. Moisture Absorption
30
Final Batch Wts. (1 Cubic meter)
Ingredient Weight
Water 112.8kg
Cement 370kg
Stone(agg.) 1,147.4kg
Sand 720.7kg
31
Thank you!

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Lecture4 ACI MIX DESIGN and Steps in.pdf

  • 2. OUTLINES  VOLUME OF FRESH CONCRETE  CONCRETE MIX DESIGN 2
  • 3. VOLUME OF FRESH CONCRETE  The volume of the fresh concrete is equal to the sum of the absolute volumes of its components, including the naturally entrapped or purposely entrained air.  VCon = Va + Vw + Vc + Vfa + Vca Where: Vcon = Volume of the fresh concrete Va = Volume of the air Vw = volume of the water Vc= absolute volume of the cement Vfa = absolute volume of the fine aggregate Vca = absolute volume of the coarse aggregate 3
  • 4. MIX DESIGN  Mix design is the selection of mix ingredients and their proportions.  The purpose of a concrete mix design is to have economical mix proportions for the available concreting materials which has adequate workability to be placed in its final position on site. 4
  • 5. 5  Goals:  Maximize strength = minimize water = control bleeding & segregation  Reduce Cost = use largest gravel possible for the job = minimize paste requirement  Provide good durability = use well graded aggregates = maximize void packing = reduced segregation
  • 6. Information required for mix design  Sieve analysis of fine and coarse aggregates.  Unit weight of coarse aggregate.  Specific gravities of fine, coarse aggregates and Portland cement and other cementations materials, if used.  Water absorption value of aggregates.  Moisture content of aggregates. 6
  • 7. ACI Standard Mix Design Method  The standard ACI mix design procedure can be divided into 8 basic steps: 1. Choice of slump 2. Maximum aggregate size selection 3. Mixing water and air content selection 4. Water-cement ratio 5. Cement content 6. Coarse aggregate content 7. Fine aggregate content 8. Adjustments for aggregate moisture 7
  • 8. Step #1: Select Slump 8
  • 9. 9  DEFINITION: Nominal maximum aggregate size is the largest sieve that retains some of the aggregate particles.  ACI Limits:  1/3 of the slab depth  3/4 of the minimum clear space between bars/form  Aggregate larger than these dimensions may be difficult to consolidate and compact resulting in a honeycombed structure or large air pockets. Step #2: Max. Agg. Size Check
  • 10. Step #3: Determine Mixing Water and Air Content 10
  • 11. 11 Step #4: Select W/C Ratio
  • 12. Step #5: Cement Content  The calculated cement amount is based on the selected mixing water content and water-cement ratio.  W/C= Wt. of Water Wt. of Cement 12
  • 13. 13 Step #6: Coarse Agg. Content
  • 14. Step #7: Fine Agg. Content 14
  • 15. 15 Step #8: Batch Weight & Water Adjustment  Aggregate weights.  Aggregate volumes are calculated based on oven dry unit weights, but aggregate is batched in the field by actual weight.  Any moisture in the stockpiled aggregate will increase its weight.  Without correcting for this, the batched aggregate volumes will be incorrect.  Amount of mixing water.  If the batched aggregate is anything but saturated surface dry it will absorb water (if dry) or give up water (if wet) to the cement paste.  This causes a net change in the amount of water available in the mix and must be compensated for by adjusting the amount of mixing water added.
  • 16. 16 Mix Design Example: 25cm Thick Unreinforced Pavement Slab
  • 17. Properties of Footing Concrete Specified By Engineer:  Slump = 2.5cm  28-day strength of 34.5MPa  Air content: 4.5 - 6.5 percent 17
  • 18. 18 Information About Materials:  Coarse aggregate :  nominal maximum size = 37.5mm  dry-rodded weight = 1600 kg/m3  specific gravity = 2.68  moisture content = 1.0 percent  absorption = 0.5 percent  Fine aggregate:  fineness modulus = 2.80  specific gravity = 2.64  moisture content = 5 percent  absorption = 0.7 percent
  • 19. 19 Step #1: Select Slump  Engineer Specified 2.5cm (correlates w/table)
  • 20. 20  ACI Limits:  1/3 of the slab depth  250mm/3 =83.33mm > 37.5mm OK Step #2: Max. Agg. Size Check
  • 21. 21 Step #3: Determine Mixing Water and Air Content 37.5mm Stone 2.5 cm Slump
  • 22. 22 Weight of Water = 148 kg/m3 Volume of Water =148 kg/m3 = 0.148m3 1000 kg/m3 Volume of Water = 148liters per cubic meter of concrete
  • 23. 23 Step #4: Select W/C Ratio
  • 24. Step #5: Cement Content 24  W/C= Wt. of Water Wt. of Cement  Wt. of Cement = 148 kg/m3 0.40 =370kg/m3 Volume of Cement = 370 kg/m3 (Concrete) 3.15 x 1000kg/m3 Volume of Cement = 0.117m3 per cubic meter of concrete
  • 25. 25 Step #6: Coarse Agg. Content
  • 26. Weight (Dry) =.71 x 1600 kg/m3 = 1,136 kg Volume = 1,136 kg = 0.42 m3 2.68 x 1000kg/m3 26 Dry Rodded Unit Wt of Stone SG Stone
  • 27. 27 Step #7: Fine Agg. Content 1m3 Cubic meter of Concrete 0.148m3 Water 0.055m3 Air 0.117m3 Cement 0.42m3 Stone 0.26m3 Sand Wt of Sand(Dry) = 0.26m3 x 2.64 x 1000kg/m3 = 686.4 kg. SG Sand
  • 28. 28 Step #8: Aggregate Batch Weights & Water Adjustment  Wt of Stone(Wet) = 1,136 kg x 1.01= 1,147.4kg  Wt of Sand(Wet) =686.4 kgx 1.05= 720.7kg 1% Moisture 5% Moisture
  • 29. 29 Mixing water needs to be adjusted. Both the coarse and fine aggregate are wet and will contribute water to the cement paste. Water from Stone = 1,136 kg x (.01-.005) = 5.68kg Water from Sand= 686.4 kg x (.05-.007) = 29.52kg Water = 148kg – 5.68kg– 29.52kg= 112.8kg Moisture Dry Wt. Absorption Dry Wt. Moisture Absorption
  • 30. 30 Final Batch Wts. (1 Cubic meter) Ingredient Weight Water 112.8kg Cement 370kg Stone(agg.) 1,147.4kg Sand 720.7kg