aci mix design
DESCRIPTION
ACI Mix DesignTRANSCRIPT
ACI METHOD OF MIX DESIGN
Given DataSpecified Design Strength Of Concrete = 15 MpaStandard Deviation = 4 MpaSpecific Gravity Of Fine Aggregate = 2.65Specific Gravity Of Coarse Aggregate = 2.7Dry Rodded Bulk Density Of Coarse Aggregate = 1600 kg/m³Fineness Modulus Of Fine Aggregate = 2.8Slump = 5 cmAbsorption Of Coarse Aggregate = 1.00Free Surface Moisture Of Sand = 2.00Maximum Size Of Aggregate = 20 mmNon air entrained
Soln.step1
Mean Strength Of Concrete 21.6
step 2find the water cement ratio
by fig 1 from ACI code
water cement ratio = 0.6828
water quantity required = 186.5151
quantity of cement = 273.1621 kg/m³step 3
Volume of coarse aggregate from table = 0.62
Weight of coarse aggregate required = 992 kg/m³step 4
Unit weight of fresh concrete = 2357.56 kg/m³
weight of fine aggregate required = 905.8828 kg/m³
RATIOw/c cement fine aggregate coarse aggregate
0.6828 1 3.316282 3.631543
N/mm²
kg/m³
Relation between W/C ratio and compressive strengthcylindercompressive at 28 days N/mm2
555045403530
Air entrained 2520
Non air entrained 15
0.603
0.6828
10 15 20 25 30 35 40 45 50 55 600
0.10.20.30.40.50.60.70.80.9
f(x) = − 0.0123666666666667 x + 0.942833333333333
Chart Title
10 15 20 25 30 35 400
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
f(x) = − 0.0154 x + 0.927Chart Title
NON AIR ENTRAINED CONCRETE
Column1 Column2 Column3 Column4
Slump cm 10 12.5 205 205 200 1858 225 215 200
15 240 230 210206.907116 200.869532 186.515103
3 2.5 2
volume of dry rodded coarse aggregate per m3
size agg fineness modulus of sand2.4
10 0.512 0.5920 0.6625 0.7140 0.75
Workability or Air content
Approximate entrapped air content percent
4 6 8 10 12 14 160
50
100
150
200
250
f(x) = 131.204199358798 x^0.129757713318264f(x) = 155.552438112495 x^0.11330936391805
20mmLinear (20mm)Linear (20mm)Power (20mm)40mm
4 6 8 10 12 14 160
50
100
150
200
250
f(x) = 116.684747790089 x^0.142142955936434
f(x) = 164.033408537154 x^0.12612681302971
12.5mmLinear (12.5mm)Linear (12.5mm)Power (12.5mm)Power (12.5mm)70mmPower (70mm)
50 0.7880 0.82
150 0.87
First density of density of fresh concrete
Max. size of Agg. In mm
10 228512.5 2315
20 235525 237540 242050 244570 2465
150 2505
2357.56
Non-air entrained kg/m³
2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.10
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
f(x) = − 0.0999999999999999 x + 0.95f(x) = − 0.1 x + 0.9f(x) = − 0.0999999999999999 x + 0.83
f(x) = − 0.1 x + 0.74
10
Linear (10)
12
Linear (12)
20
Linear (20)
25
Linear (25)
15 20 25 30 35 40 45 50 55230023202340236023802400242024402460
f(x) = 2.97802197802198 x + 2298.24175824176
Density of fresh concrete for non-air entrained
density of fresh concrete
Linear (density of fresh con-crete)
15 20 25 30 35 40 45 50 55230023202340236023802400242024402460
f(x) = 2.97802197802198 x + 2298.24175824176
Density of fresh concrete for non-air entrained
density of fresh concrete
Linear (density of fresh con-crete)
Relation between W/C ratio and compressive strength
w/c ratioNon air air
0.30.330.380.430.48 0.40.55 0.460.62 0.53
0.7 0.610.8 0.71
10 15 20 25 30 35 40 45 50 55 600
0.10.20.30.40.50.60.70.80.9
f(x) = − 0.0123666666666667 x + 0.942833333333333
Chart Title
10 15 20 25 30 35 400
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
f(x) = − 0.0154 x + 0.927Chart Title
NON AIR ENTRAINED CONCRETE
Column5 Column6 Column7 Column72 Column73
25 40 50 70 150180 160 155 145 125195 175 170 160 140205 185 180 170 0
181.512063 161.473391 156.446684 146.5387 124.9673
1.5 1 0.5 0.3 0.2
volume of dry rodded coarse aggregate per m3
fineness modulus of sand2.6 2.8 3
0.48 0.46 0.44 0.460.57 0.55 0.53 0.550.64 0.62 0.6 0.620.69 0.67 0.65 0.670.73 0.71 0.69 0.71
4 6 8 10 12 14 160
50100150200250300
f(x) = 126.355714974903 x^0.13363867645867
f(x) = 164.909764771149 x^0.141248070713328
10mmLinear (10mm)Linear (10mm)Power (10mm)Power (10mm)
4 6 8 10 12 14 160
50
100
150
200
250
f(x) = 116.684747790089 x^0.142142955936434
f(x) = 164.033408537154 x^0.12612681302971
12.5mmLinear (12.5mm)Linear (12.5mm)Power (12.5mm)Power (12.5mm)70mmPower (70mm) 4 6 8 10 12 14 16
0
50
100
150
200
250
f(x) = 84.7953951473017 x^0.241123000451875
f(x) = 150.670361603298 x^0.11625626422961
25mmLinear (25mm)Linear (25mm)Power (25mm)150mm
0.76 0.74 0.72 0.740.8 0.78 0.76 0.78
0.85 0.83 0.81 0.83
First density of density of fresh concrete
Air entrained kg/m³
21902235228023152355237524002435
2279.499
2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.10
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
f(x) = − 0.0999999999999999 x + 0.95f(x) = − 0.1 x + 0.9f(x) = − 0.0999999999999999 x + 0.83
f(x) = − 0.1 x + 0.74
10
Linear (10)
12
Linear (12)
20
Linear (20)
25
Linear (25)
2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.10
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
f(x) = − 0.0999999999999999 x + 1.11f(x) = − 0.0999999999999999 x + 1.06f(x) = − 0.1 x + 1.02f(x) = − 0.1 x + 0.99
40
Linear (40)
50
Linear (50)
80
Linear (80)
150
Linear (150)
15 20 25 30 35 40 45 50 55230023202340236023802400242024402460
f(x) = 2.97802197802198 x + 2298.24175824176
Density of fresh concrete for non-air entrained
density of fresh concrete
Linear (density of fresh con-crete)
15 20 25 30 35 40 45 50 552220
2240
2260
2280
2300
2320
2340
2360
2380
2400
f(x) = 2010.2022455327 x^0.0428635587708665
Chart Title
Air entrained
Power (Air entrained)
15 20 25 30 35 40 45 50 55230023202340236023802400242024402460
f(x) = 2.97802197802198 x + 2298.24175824176
Density of fresh concrete for non-air entrained
density of fresh concrete
Linear (density of fresh con-crete)
15 20 25 30 35 40 45 50 552220
2240
2260
2280
2300
2320
2340
2360
2380
2400
f(x) = 2010.2022455327 x^0.0428635587708665
Chart Title
Air entrained
Power (Air entrained)