01 mix design_aci211.1_2009

By: Tony Hartono Bagio Mix Design - ACI 211.1-2002 Table Model

No : 168A Kuat tekan beton pada umur 28 hari 24 Nama : CONTOH

Slump 25-50

Fw (Fly Ash) = 15% Air Fly Ash Semen Kerikil Pasir TOTAL147 51 287 1007 736 2228

Semen DATABerat Jenis 3.13

Tipe 1

Semen Dengan/Tanpa Udara DenganKadar udara Berat

Pemaparan (Exposures) DATA

Pemaparan (berat/ringan) Moderate

Tipe Struktur OthersPengaruh wet

Densitas untuk semua Material yg di gunakan : ρ = G × ρw

Aggregat Halus DATA GS × ρw DensitasBerat Jenis (SSD) 2.52 1 1000 1000Penyerapan (absorsi) Air (%) 1.7 3.13 1000 3130Kelembaban / Kandungan Air (%) 3.65 2.52 1000 2520

Aggregat Kasar DATA 2.7 1000 2700Modulus Agg Kasar 2.45 1660

Berat Jenis (SSD) 2.7 2.58 1000 2580

Penyerapan (absorsi) Air (%) 1.65

Berat Kering 1660Kelembaban / Kandungan Air (%) 3.75Ukuran Aggregat (max) 9.5Berat Jenis Pozolan 2.58

Berat Kering (Agg Kasar)

Pozolan

MaterialAirSemenSSD (Agregat Halus)

SSD (Agregat Kasar)

MIX DESIGN - ACI 211.1-91, reapproved 2009Tabel Method, by Tony Hartono Bagio 12 Oct 2016

D:\GoogleDriveMirama\NAROTAMA\BETON1\01MixDesign\01_MixDesign_SNI7656-2012.xlsm\MixDesACI 1/7


C Data1 Slump 25-50 mm2 Ukuran Agregat (Maximal) 9.5 mm3 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 11312 75-100 228 216 205 193 181 169 145 12413 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

1621 25-50 181 175 168 160 150 142 122 107 <<<<<<22 75-100 202 193 184 175 165 157 133 11923 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/m³Air content 7.5 %

Non-air-entrained concrete

Air-entrained concrete

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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



4 Rasio Air Semen

Non-air-

entrained

concrete

Air-

entrained

concrete

15 0.79 0.7020 0.69 0.60 <<<<<<<<

25 0.61 0.52 <<<<<<<<

30 0.54 0.4535 0.47 0.3940 0.42 -

Compressive strength at 28 days 20 25 24 linear interpolationWater-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 StructureWet

Structure

exposed to

sea water/

sulfates

Thin sections 0.45 0.4All other stuctures 0.5 0.45Maximum (w/c ) 0 <<< Exposure Moderate(w/c) used 0.536

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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



5

interpolation to find z2.40 2.60 2.80 3.00 a b c

9.5 0.50 0.48 0.46 0.44 x y z1 12.5 0.59 0.57 0.55 0.532 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 0.654 37.5 0.75 0.73 0.71 0.695 50.0 0.78 0.76 0.74 0.726 75.0 0.82 0.80 0.78 0.767 150.0 0.87 0.85 0.83 0.81

8 >>

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Maximum Aggregate 2.4 2.6 2.45 interpolasi linear9.5 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 22303 19.0 2345 2275 First estimer of mass = 2200 kg/m³4 25.0 2380 22905 37.5 2410 23206 50.0 2445 23457 75.0 2490 24058 150.0 2530 2435

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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



Resume

From step 3Mixing water 181 kg/m³Air contenr 7.5 %

From step 4(w/c) used 0.536

From step 5Mass of Coarse Aggregate 971 kg/m³ (dry)

From step 6First estimate of mass of fresh concrete 2200 kg/m³

7 Mass of Fine Aggregate7.1 Based on mass

Mass of water = 181 kg langkah 3Mass (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 + 9711490 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 CementF 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



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 VolumeVolume of water = 181/1000 = 0.181 m³ GS Air =1000

Volume of Fly Ash = 50/2580 = 0.019 m³ GS Fly Ash = 2580Volume of Cement = 282/3130 = 0.090 m³ GS Semen = 3130

Vol Absolut Coarse Agg. = 971/2700 = 0.360 m³ SSD Agg Kasar = 2700Volume 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 7.2Mass of Material Mass VolumeWater 181 181Fly Ash 51 50Cement 287 282Coarse Aggregate (dry) 971 971Fine Aggregate (dry) 710 693Total 2200 2177



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 areMass of Material MassWater 147 kgFly Ash 51 kgCement 287 kgCoarse Aggregate (wet) 1007 kgFine Aggregate (wet) 736 kgTotal 2228 kg

9 Mix design in Laboratory 0.02 m³Mass of Material MassWater 3.26Fly Ash 5.74Cement 20.14Coarse Aggregate (wet) 14.72


Data & Analytics

01 mix design_aci211.1_2009