Mix Design Step by step

1. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
No : 168
A Kuat tekan beton pada umur 28 hari 24 Nama : CONTOH
Slump 25-50
Fw (Fly Ash) = 15% Air Fly Ash Semen Kerikil Pasir TOTAL
147 51 287 1007 736 2228
Semen DATA
Berat Jenis 3.13
Tipe 1
Semen Dengan/Tanpa Udara Dengan
Kadar udara Berat
Pemaparan (Exposures) DATA
Pemaparan (berat/ringan) Moderate
Tipe Struktur Others
Pengaruh wet
Densitas untuk semua Material yg di gunakan : ρ = G × ρw
Aggregat Halus DATA GS × ρw Densitas
Berat Jenis (SSD) 2.52 1 1000 1000
Penyerapan (absorsi) Air (%) 1.7 3.13 1000 3130
Kelembaban / Kandungan Air (%) 3.65 2.52 1000 2520
Aggregat Kasar DATA 2.7 1000 2700
Modulus Agg Kasar 2.45 1660
Berat Jenis (SSD) 2.7 2.58 1000 2580
Penyerapan (absorsi) Air (%) 1.65
Berat Kering 1660
Kelembaban / Kandungan Air (%) 3.75
Ukuran Aggregat (max) 9.5
Berat Jenis Pozolan 2.58
Berat Kering (Agg Kasar)
Pozolan
Material
Air
Semen
SSD (Agregat Halus)
SSD (Agregat Kasar)
MIX DESIGN - ACI 211.1-91, reapproved 2009
Tabel Method, by Tony Hartono Bagio 12 Oct 2016
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2. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
C Data
1 Slump 25-50 mm
2 Ukuran Agregat (Maximal) 9.5 mm
3 Kebutuhan Air Pencampur
Slump 9.5 12.7 19 25 37.5 50 75 150
(mm) mm mm mm mm mm mm mm mm
11 25-50 207 199 190 179 166 154 130 113
12 75-100 228 216 205 193 181 169 145 124
13 150-175 243 228 216 202 190 179 160 -
14 >175 - - - - - - - -
15
Approximate amount of entrapped
air (%)
3 2.5 2 1.5 1 0.5 0.3 0.2
16
21 25-50 181 175 168 160 150 142 122 107 <<<<<<
22 75-100 202 193 184 175 165 157 133 119
23 150-175 216 205 197 184 174 166 154 -
24 >175 - - - - - - - -
25
Recommended average total air
content, for level of exposure: Mild (%)
4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0
26 Moderate (%) 6.0 5.5 5.0 4.5 4.5 4.0 3.5 3.0
27 Extreme (%) 7.5 7.0 6.0 6.0 5.5 5.0 4.5 4.0 <<<<<<
Mixing water 181 kg/m³
Air content 7.5 %
Non-air-entrained concrete
Air-entrained concrete
>>>>>
Tabel A1.5.3.3. Approximate mixing water and air content req. for different slumps & normal max of Aggregates
Water (kg/m3) of concrete for indicated nominal maximum sizes of aggregate
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3. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
4 Rasio Air Semen
Non-air-
entrained
concrete
Air-
entrained
concrete
15 0.79 0.70
20 0.69 0.60 <<<<<<<<
25 0.61 0.52 <<<<<<<<
30 0.54 0.45
35 0.47 0.39
40 0.42 -
Compressive strength at 28 days 20 25 24 linear interpolation
Water-cement ratio 0.6 0.52 0.536 0.6+(0.52-0.6)*(24-20)/(25-20) 1st method
0.536 0.52+(0.6-0.52)*(25-24)/(25-20) 2nd method
Type of Structure
Wet
Structure
exposed to
sea water/
sulfates
Thin sections 0.45 0.4
All other stuctures 0.5 0.45
Maximum (w/c ) 0 <<< Exposure Moderate
(w/c) used 0.536
>>>>>
Tabel A.1.5.3.4(b) Maximum permissible water-cement
(w/c) ratio for concrete in severe exposures
Tabel 3. Hubungan antara rasio air-semen (w/c) atau
rasio air-bahan bersifat semen {w/(c=p)} dan kekuatan
Compressive strength at 28 days,
Mpa
Water-cement ratio
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4. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
5
interpolation to find z
2.40 2.60 2.80 3.00 a b c
9.5 0.50 0.48 0.46 0.44 x y z
1 12.5 0.59 0.57 0.55 0.53
2 19.0 0.66 0.64 0.62 0.60 z = x + (y-x)*(c-a)/(b-a)
3 25.0 0.71 0.69 0.67 0.65
4 37.5 0.75 0.73 0.71 0.69
5 50.0 0.78 0.76 0.74 0.72
6 75.0 0.82 0.80 0.78 0.76
7 150.0 0.87 0.85 0.83 0.81
8
>>>>>>
>>>>>>
Maximum Aggregate 2.4 2.6 2.45 interpolasi linear
9.5 0.59 0.57 0.585 0.59+(0.57-0.59)*(2.45-2.4)/(2.6-2.4)
Coarse Aggregate = 0.585*1660 = 971 kg/m³ (dry) 0.57+(0.59-0.57)*(2.6-2.45)/(2.6-2.4)
6 Tabel A.1.5.3.7.1. First Estimate of mass of Fresh Concrete
Non-air-
entrained
concrete
Air-
entrained
concrete
1 9.5 2280 2200 <<<<<<
2 12.5 2310 2230
3 19.0 2345 2275 First estimer of mass = 2200 kg/m³
4 25.0 2380 2290
5 37.5 2410 2320
6 50.0 2445 2345
7 75.0 2490 2405
8 150.0 2530 2435
>>>
Nominal maximum size of
aggregate (mm)
Volume of dry-rodded coarse Agg.
Nominal maximum size of
aggregate (mm)
First Estimate
Tabel A.1.5.3.6. Volume of Coarse Aggregate per unit of Volume of concrete
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5. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
Resume
From step 3
Mixing water 181 kg/m³
Air contenr 7.5 %
From step 4
(w/c) used 0.536
From step 5
Mass of Coarse Aggregate 971 kg/m³ (dry)
From step 6
First estimate of mass of fresh concrete 2200 kg/m³
7 Mass of Fine Aggregate
7.1 Based on mass
Mass of water = 181 kg langkah 3
Mass (Cement + Fly Ash) = 181/0.536 = 338 kg langkah 3 / langkah 4
Mass Fly Ash = 0.15 × 338 = 51 kg not count Fw*(langkah 3/langkah 4)
Mass of Cement = 338 - 51 = 287 kg not count (1 - Fw)*(langkah 3/langkah 4)
Mass of Coarse Aggregate = 971 kg + langkah 5
Total mass (Fine Aggregat excluses) = 181 + 338 + 971
1490 kg
Mass of Fine Aggregate = 2200 - 1490 = 710 kg (dry) langkah 6 - (Berat Non Agg Halus)
7.2 Based on Absolute Volume
Fv = 1/[(1+Gp/Gc)*(1/Fw-1)] Gp = GS Pozolan; Gc = GS Cement
F v = 1/((1+2.58/3.13)*(1/0.15-1))
F v = 0.097
w/(c+p ) = Gc*(w/c)/[Gc*(1-Fv)+Gp*Fv]
w/(c+p ) = 3.13*0.536/[3.13*(1-0.097)+2.58*0.097]
w/(c+p ) = 0.545
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6. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
Mass (Cement + Fly Ash) = 181/0.545 = 332 kg Air Pencampur / [w/(c+p)]
Mass (Fly Ash) = 0.15 × 332 = 50 kg Fw * Berat (Semen + Fly Ash)
Mass (Cement) = 332 - 50 = 282 kg Berat (Semen + Fly Ash) - Berat (Fly Ash)
Convert from Mass to Volume
Volume of water = 181/1000 = 0.181 m³ GS Air =1000
Volume of Fly Ash = 50/2580 = 0.019 m³ GS Fly Ash = 2580
Volume of Cement = 282/3130 = 0.090 m³ GS Semen = 3130
Vol Absolut Coarse Agg. = 971/2700 = 0.360 m³ SSD Agg Kasar = 2700
Volume of air = 0.075× 1 = 0.075 m³ + Kadar Udara = 7.5%
Vol total (Fine Aggregate excluded) 0.725 m³
Vol Fine Aggregate = 1 - 0.725 = 0.275 m³
Mass of Fine Aggregate = 0.275 × 2520 = 693 kg (dry) SSD Agg Halus = 2520
7.3 Compare 7.1 dan 7.2
Mass of Material Mass Volume
Water 181 181
Fly Ash 51 50
Cement 287 282
Coarse Aggregate (dry) 971 971
Fine Aggregate (dry) 710 693
Total 2200 2177
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7. By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model
8 Adjustment of water (just mass only)
Coarse Agg = (1 + entrapped,coarse)*(Coarse Agg )dry
Fine Agg = (1 + entrapped,fine)*(Fine Agg)dry
Water = (Mixing water) - (Coarse Agg.)dry(entrapped,coarse - Absorsp, coarse) - (Fine Agg )dry(entrapped,fine - Absorp, fine)
Coarse Agg. = (1+3.75%)(971) = 1007 kg Kelembaban Agg. Kasar = 3.75%
Fine Agg. = (1+3.65%)(710) = 736 kg Kelembaban Agg. Halus = 3.65%
Water = 181 - (971)(3.75% - 1.65%) - (710)(3.65% - 1.7%) = Serap air Agg.Kasar = 1.65% ; Serap air Agg.Halus = 1.7%
Water = 147 kg
Estimate of mix design of 1 m³ concrete are
Mass of Material Mass
Water 147 kg
Fly Ash 51 kg
Cement 287 kg
Coarse Aggregate (wet) 1007 kg
Fine Aggregate (wet) 736 kg
Total 2228 kg
9 Mix design in Laboratory 0.02 m³
Mass of Material Mass
Water 3.26
Fly Ash 5.74
Cement 20.14
Coarse Aggregate (wet) 14.72
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