Project on Concrete Mix Design for various grades of Concrete
Aim:
To prepare the Mix-Design of the concrete for the grade M35 with fly ash and M50 without fly ash as per Indian Standards.
Introduction:
Mix design of concrete is the proportioning of concrete ingredients which are used to provide strength and durability for the structures using the following standards
IS Method: Concrete mix proportioning guidelines (IS 10262-2019) and recommended guidelines for concrete mix design IS 10262 -1982.
Step by step procedure:
1)Concrete mix design for M35 grade with fly ash
1.Data required
- Grade designation: M35 with 10% of flyash
- Type of cement: OPC 43 Grade conforming IS 8112
- Maximum nominal size of aggregate: 20mm
- Minimum cement content: 340 kg/m3
- Workability: 100mm slump
- Exposure condition: Very Severe
- Method of concrete placing: Pumping
- Type of aggregate: Crushed Angular Aggregates
- Maximum cement content: 450 kg/m^3
- Chemical admixture type: Super Plasticizer
- Specific gravity of cement: 3.15
- Specific gravity of fly ash: 2.2
- Specific gravity of fine aggregate: 2.61
- Specific gravity of coarse aggregate: 2.73
- Coarse and fine aggregate: Grade 1
2.TARGET STRENGTH FOR MIX PROPORTIONING
f’ck =fck + 1.65 s
where
f’ck = target average compressive strength at 28 days,
fck = characteristics compressive strength at 28 days
s = standard deviation.
Standard Deviation, s = 5 N/mm^2 (From Table I of IS 10262:2009)
Therefore, target strength = 35 + 1.65 x 5 = 43.25 N/mm^2
3.SELECTION OF WATER CEMENT RATIO
From the Table 5 of IS 456:2000, for severe exposure condition maximum Water Cement Ratio = 0.45
Adopt w/c = 0.41
4.SELECTION OF WATER CONTENT
Maximum water content for 20 mm aggregate = 186 litre (From Table 2 of IS 10262:2009)
For 75mm slump,water content = 186+ (0.03x186) = 191.58 litres.
Super plasticizer reduces 29% of water content.
Hence new water content = [197 x (71/100)] = 139.87 litre.
5.CALCULATION OF CEMENT CONTENT
w/c Ratio = 0.41
Cementitious content = 139.87/0.41 = 341.14 > 340 kg/m^3
Therefore Cementitious content = 341.14 kg/m^3
Here cement is replaced bt 20% fly ash, therefore increse the total cementitious content by 10%
Cementitious content = 1.10X341.14 = 375.25 kg/m^3
New water cement ratio = 139.87/375.25 = 0.37
20% fly ash of cementitious content = 75.05 kg/m^3
Cement = 375.25 - 75.05 = 300.2 kg/m^3
2% of superplaticizer of Cementitious content = (2/100)X375.25 = 7.505 kg/m^3
6.PROPORTION OF VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE
From Table 3 of (IS 10262:2009) for 0.5 w/c,Volume of coarse aggregate =0.6
As per A7 IS 10262:2009, for w/c = 0.37 the volume of coarse aggregate = 0.626
Since the concrete is pumpable, volume of coarse aggregate is reduced by 10%
volume of coarse aggregate =0.626 x 0.9 = 0.56.
Volume of fine aggregate content = 1 – 0.56= 0.44.
7.MIX CALCULATIONS
The mix calculations per unit volume of concrete shall be as follows:
a) Volume of concrete = 1 m^3
b) Volume of cement = Mass of cement / (Specific Gravity of Cement x 1000)
= 300.2/(3.15 x 1000)
= 0.095 m^3
c) Volume of fly ash = Mass of fly ash / (Specific Gravity of fly ash x 1000)
= 75.05/(2.2x1000) = 0.034 m^3
d) Volume of water = Mass of water / (Specific Gravity of water x 1000)
= 139.87/(1 x 1000)
= 0.139 m^3
e)Super plastiziser is upto 2% of mass of total cementitious content
= (7.505/1.15)X(1/1000) = 0.006 m^3
f) Volume of all in aggregate = a-(b+c+d+e)
= 1-(0.095+0.034+0.139+0.006)
= 0.726 m^3
g) Mass of coarse aggregate= f x Volume of Coarse Aggregate x Specific Gravity of coarse aggregate x 1000
= 0.726x 0.56 x 2.73 x 1000
= 1110 kg
h) Mass of fine aggregate= f x Volume of Fine Aggregate x Specific Gravity of Fine Aggregate x 1000
= 0.724x 0.44x 2.61 x 1000
= 834 kg
8.MIX PROPORTIONS
Cement = 300.2 kg/m^3
Fly ash = 75.05 kg/m^3
Fine aggregate = 834 kg/m^3
Coarse aggregate = 1110 kg/m^3
w/c = 0.37
Admixture = 7.505 kg/m^3
Result:
The mix proportions arrived: 1:2.22:2.96
2)Concrete mix design for M50 grade without fly ash
1.Data required
- Grade designation: M50
- Type of cement: OPC 43 Grade conforming IS 8112
- Maximum nominal size of aggregate: 20mm
- Minimum cement content: 360 kg/m3
- Workability: 100mm slump
- Exposure type: Extreme (reinforced)
- Method of concrete placing : Pumping
- Type of aggregate : Crushed Angular Aggregates
- Maximum cement content : 450 kg/m^3
- Chemical admixture type : Super Plasticizer
- Specific gravity of cement: 3.15
- Specific gravity of fine aggregate: 2.61
- Specific gravity of coarse aggregate: 2.73
- Coarse and fine aggregate: Grade 1
2.TARGET STRENGTH FOR MIX PROPORTIONING
f’ck =fck + 1.65 s
where
f’ck = target average compressive strength at 28 days,
fck = characteristics compressive strength at 28 days
s = standard deviation.
Standard Deviation, s = 5 N/mm^2 (From Table I of IS 10262:2009)
Therefore, target strength = 50 + (1.65 x 5) = 58.25 N/mm^2
3.SELECTION OF WATER CEMENT RATIO
From the Table 5 of IS 456:2000, for severe exposure condition maximum Water Cement Ratio = 0.40
Adopt w/c = 0.33
4.SELECTION OF WATER CONTENT
Maximum water content for 20 mm aggregate = 186 litre (From Table 2 of IS 10262:2009)
For 100mm slump,water content = 186+ (0.06x186) = 197 litres.
Super plasticizer reduces 29% of water content.
Hence new water content = [197 x (71/100)] = 139.87 litre.
5.CALCULATION OF CEMENT CONTENT
w/c Ratio = 0.33
Cementitious content = 139.87/0.33 = 424 > 340 kg/m^3
Therefore Cementitious content = 424 kg/m^3
2.5% of superplaticizer of Cementitious content = (2.5/100)X424 = 10.6 kg/m^3
6.PROPORTION OF VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE
From Table 3 of (IS 10262:2009) for 0.5 w/c, Volume of coarse aggregate =0.6
As per A7 IS 10262:2009, for w/c = 0.33 the volume of coarse aggregate = 0.636
Since the concrete is pumpable, volume of coarse aggregate is reduced by 10%
volume of coarse aggregate =0.636 x 0.91 = 0.578
Volume of fine aggregate content = 1 – 0.578= 0.421
7.MIX CALCULATIONS
The mix calculations per unit volume of concrete shall be as follows:
a) Volume of concrete = 1 m^3
b) Volume of cement = Mass of cement / (Specific Gravity of Cement x 1000)
= 424/(3.15 x 1000)
= 0.134 m^3
c) Volume of water = Mass of water / (Specific Gravity of water x 1000)
= 139.87/(1 x 1000)
= 0.139 m^3
d)Super plastiziser is upto 2% of mass of total cementitious content
= (10.6/1.15)X(1/1000) = 0.0092 m^3
e) Volume of all in aggregate = a-(b+c+d+e)
= 1-(0.134+0.139+0.0092)
= 0.717 m^3
f) Mass of coarse aggregate= f x Volume of Coarse Aggregate x Specific Gravity of coarse aggregate x 1000
= 0.717x 0.578 x 2.73 x 1000
= 1131 kg
g) Mass of fine aggregate= f x Volume of Fine Aggregate x Specific Gravity of Fine Aggregate x 1000
= 0.717x 0.421x 2.61 x 1000
= 787 kg
8.MIX PROPORTIONS
Cement = 424 kg/m^3
Fine aggregate = 787 kg/m^3
Coarse aggregate = 1131 kg/m^3
w/c = 0.33
Admixture = 10.6 kg/m^3
Result:
The mix proportions arrived: 1:1.85:2.66