Mixdesign Aci

By: Tony Hartono Bagio

Table Model

Mix Design - ACI 211.1-2002

MIX DESIGN - ACI 211.1-91, reapproved 2009 Tabel Method, by Tony Hartono Bagio A Kuat tekan beton pada umur 28 hari Slump Fw (Fly Ash) =

24 25-50 15%

Semen Berat Jenis Tipe Semen Dengan/Tanpa Udara Kadar udara

DATA 3.13 1 Dengan Berat

Pemaparan (Exposures) Pemaparan (berat/ringan) Tipe Struktur Pengaruh

DATA

Aggregat Halus Berat Jenis (SSD) Penyerapan (absorsi) Air (%) Kelembaban / Kandungan Air (%) Aggregat Kasar Modulus Agg Kasar Berat Jenis (SSD) Penyerapan (absorsi) Air (%) Berat Kering Kelembaban / Kandungan Air (%) Ukuran Aggregat (max) Berat Jenis Pozolan

12 Oct 2016 No : 168 Nama : CONTOH Air 147

Fly Ash 51

Semen 287

Kerikil 1007

Pasir 736

TOTAL 2228

Moderate

Others wet DATA 2.52 1.7 3.65 DATA 2.45 2.7 1.65 1660 3.75 9.5 2.58

Densitas untuk semua Material yg di gunakan : ρ = G × ρw Material GS × ρw Densitas Air 1 1000 1000 Semen 3.13 1000 3130 SSD (Agregat Halus) 2.52 1000 2520 SSD (Agregat Kasar) 2.7 1000 2700 Berat Kering (Agg Kasar) 1660 Pozolan 2.58 1000 2580

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By: Tony Hartono Bagio

C 1 2 3

11 12 13 14 15 16 21 22 23 24

Data Slump 25-50 mm Ukuran Agregat (Maximal) 9.5 mm Kebutuhan Air Pencampur 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 Slump 9.5 12.7 19 25 37.5 50 75 150 (mm) mm mm mm mm mm mm mm mm Non-air-entrained concrete 25-50 207 199 190 179 166 154 130 113 75-100 228 216 205 193 181 169 145 124 150-175 243 228 216 202 190 179 160 >175 Approximate amount of entrapped 3 2.5 2 1.5 1 0.5 0.3 0.2 air (%) Air-entrained concrete 25-50 181 175 168 160 150 142 122 107 75-100 202 193 184 175 165 157 133 119 150-175 216 205 197 184 174 166 154 >175 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

Moderate (%) Extreme (%)

6.0 7.5

5.5 7.0

5.0 6.0

4.5 6.0

4.5 5.5

4.0 5.0

3.5 4.5

3.0 4.0

<<<<<<

<<<<<<

>>>>>

25 26 27

Table Model

Mix Design - ACI 211.1-2002

Mixing water Air content

181 7.5

kg/m³ %

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By: Tony Hartono Bagio

Mix Design - ACI 211.1-2002

Table Model

4 Rasio Air Semen Tabel 3. Hubungan antara rasio air-semen (w/c) atau rasio air-bahan bersifat semen {w/(c=p)} dan kekuatan Water-cement ratio Compressive strength at 28 days, Non-airAirentrained entrained Mpa concrete

15 20 25 30 35 40

0.79 0.69 0.61 0.54 0.47 0.42

0.70 0.60 0.52 0.45 0.39 -

Compressive strength at 28 days Water-cement ratio

20 0.6

25 0.52

<<<<<<<< <<<<<<<<

>>>>>

concrete

24 0.536 0.536

linear interpolation 0.6+(0.52-0.6)*(24-20)/(25-20) 0.52+(0.6-0.52)*(25-24)/(25-20)

1st method 2nd method

Tabel A.1.5.3.4(b) Maximum permissible water-cement (w/c) ratio for concrete in severe exposures Type of Structure Thin sections All other stuctures Maximum (w/c ) (w/c) used

Wet Structure

0.45 0.5 0 0.536

exposed to sea water/ sulfates

0.4 0.45 <<< Exposure Moderate

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By: Tony Hartono Bagio

Table Model

Mix Design - ACI 211.1-2002

>>>>>>

>>>>>>

5 Tabel A.1.5.3.6. Volume of Coarse Aggregate per unit of Volume of concrete Volume of dry-rodded coarse Agg. interpolation to find z Nominal maximum size of 2.40 2.60 2.80 3.00 a b c aggregate (mm) 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 First Estimate Non-airentrained concrete

Airentrained concrete

9.5 12.5 19.0 25.0 37.5 50.0 75.0 150.0

2280 2310 2345 2380 2410 2445 2490 2530

2200 2230 2275 2290 2320 2345 2405 2435

<<<<<< First estimer of mass =

2200

kg/m³

>>>

1 2 3 4 5 6 7 8

Nominal maximum size of aggregate (mm)

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By: Tony Hartono Bagio

Mix Design - ACI 211.1-2002

Resume From step 3 Mixing water 181 Air contenr 7.5 From step 4 (w/c) used 0.536 From step 5 Mass of Coarse Aggregate 971 From step 6 First estimate of mass of fresh concrete 2200

Table Model

kg/m³ %

kg/m³

(dry)

kg/m³

7 Mass of Fine Aggregate 7.1 Based on mass Mass of water = 181 kg Mass (Cement + Fly Ash) = 181/0.536 = 338 kg Mass Fly Ash = 0.15 × 338 = 51 kg Mass of Cement = 338 - 51 = 287 kg Mass of Coarse Aggregate = 971 kg + Total mass (Fine Aggregat excluses) = 181 + 338 + 971 1490 kg Mass of Fine Aggregate = 2200 - 1490 = 710 kg

langkah 3 langkah 3 / langkah 4 Fw*(langkah 3/langkah 4) (1 - Fw)*(langkah 3/langkah 4) langkah 5

not count not count

(dry)

langkah 6 - (Berat Non Agg Halus)

7.2 Based on Absolute Volume Fv = 1/[(1+Gp/Gc)*(1/Fw-1)] F v = 1/((1+2.58/3.13)*(1/0.15-1)) F v = 0.097

Gp = GS Pozolan; Gc = GS Cement

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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By: Tony Hartono Bagio

Mix Design - ACI 211.1-2002

Mass (Cement + Fly Ash) = 181/0.545 = Mass (Fly Ash) = 0.15 × 332 = Mass (Cement) = 332 - 50 =

332 50 282

Convert from Mass to Volume Volume of water = 181/1000 = Volume of Fly Ash = 50/2580 = Volume of Cement = 282/3130 = Vol Absolut Coarse Agg. = 971/2700 = Volume of air = 0.075× 1 = Vol total (Fine Aggregate excluded) Vol Fine Aggregate = 1 - 0.725 = Mass of Fine Aggregate = 0.275 × 2520 =

0.181 0.019 0.090 0.360 0.075 0.725 0.275 693

7.3 Compare 7.1 dan 7.2 Mass of Material Water Fly Ash Cement Coarse Aggregate (dry) Fine Aggregate (dry) Total

Mass 181 51 287 971 710 2200

kg kg kg

Air Pencampur / [w/(c+p)] Fw * Berat (Semen + Fly Ash) Berat (Semen + Fly Ash) - Berat (Fly Ash)

m³ m³ m³ m³ m³ + m³ m³ kg

GS Air =1000 GS Fly Ash = 2580 GS Semen = 3130 SSD Agg Kasar = 2700 Kadar Udara = 7.5%

(dry)

Table Model

SSD Agg Halus = 2520

Volume 181 50 282 971 693 2177

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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 Fly Ash 51 Cement 287 Coarse Aggregate (wet) 1007 Fine Aggregate (wet) 736 Total 2228 9 Mix design in Laboratory Mass of Material Water Fly Ash Cement Coarse Aggregate (wet)

0.02 Mass 3.26 5.74 20.14 14.72

kg kg kg kg kg kg m³

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