Project on Concrete Mix Design for various grades of Concrete
AIM
To calculate the concrete mix design for M35 grade of concrete with fly ash
CODES FOR CONCRETE MIX DESIGN
IS 10262:2009
IS 456:2000
IS 8112
IS 9103
IS 3812 (part 1)
PROCEDURE AND CALCULATION
- a) The concrete mix design for M35 grade concrete:
Stipulations:
Grade designation: M 35
Type of cement OPC 53 grades confirming to IS 8112
Maximum nominal size of aggregate: 20 mm
Minimum cement content: 320 kgm3
Maximum water-cement ratio: 0.45
Workability: 50-75 mm (slump)
Exposure condition: Severe (for reinforced concrete)
Method of concrete placing: Pumping
Degree of supervision: Good
Type of aggregate: Crushed angular aggregate
Maximum Cement Content: 450 kg/m3
Chemical Admixture Type: Super Plasticizer.
Test Data for Materials:
The specific gravity of cement: 3.15
The specific gravity of Coarse aggregate: 2.74
Specific Gravity of Fine aggregate: 2.67
water absorption, Coarse aggregate: 0.5%
Chemical admixture: Superplasticizer conforming to IS 9103.
Target Mean Strength:
ft = fck + 1.65 x S
ft = target average compressive strength at 28 days,
ick = characteristic compressive strength at 28 days, and S= standard deviation
The Standard deviation, S is taken 5.0 N/mm2 (Table | of IS 10262:2009)
Therefore, target strength = 35+ 1.65 x5,0 = 43.25 N/mm.
Selection of Water-Cement Ratio:
Given:
M35
Assume:
Exposure condition: Extreme (for reinforced concrete)
Table 5 - IS 456: 2000
Therefore,
Extreme= w/c ratio= 0.40
for M35, w/c ratio= 0.45
Lower the water cement ratio better the workability
0.40 < 0.45
Water cement ratio = 0.40
Minimum cement content = 360 kg/m^3
SELECTION OF WATER CONTENT
Assume:
Nominal size of aggregates= 20 mm
Table 2 -IS 10262:1009
Minimum water content = 186 litres or kg
Slump ranges from 25 to 50 mm
As superplasticizers (20 % reduced)
= 186 x80/100 = 148.8 (100-20 = 80)
Water content = 149 litres
CALCULATION OF CEMETITIOUS CONTENT (CEMENT + FLY ASH)
Water cement ratio = w/c= 0.40
Water content = W = 149 kg
Cementitious content = c=149/0.40 = 372.5 = 370 kg/m^3
Minimum cement content = 360 kg/m^3
360< 370 kg/m^3 (hence okay)
Increase by 10 %
370 x 0.10 + 370 = 407 kg/m^3
W= 149 kg
Water cement ratio = 149 407 = 0.366
Fly ash at 30 % total cementitious material content
= 407 x 0.3 = 122 kg/m^3
Cement (ordinary Portland cement) = 407-122 = 285 kg/m^3
Saving of cement while using fly ash = 370 - 285 = 85 kg/ m^3
Fly ash = 122 kg/m^3
VOLUME OF COARSE AGGREGATES AND FINE AGGREGATES
Fine aggregates are sieved according to zone 1 of table 4 IS 383
Coarse aggregates are sieved according to table 2 IS 383
According,
Table 3 IS 10262: 2009
Nominal size of aggregates = 20 mm
Fine aggregates (zone 1)
Therefore.
Volume of coarse aggregate = 0.60
Water cement ratio = 0.4
(+/- 0.01 for every +/- 0.005)
So, volume of coarse aggregate = 0.62
Volume of fine aggregate = 1-0.62 = 0.38
MIX CALCULATION:
- Volume of concrete = 1m^3 =a
- Volume of cement = (285 / 3.15 x1/1000= 0.090 m^3 =b
- Volume of fly ash = (122/2.2 x1/1000=0.055 m^3=c
- Volume of water = (149/1)x1/1000=0.149 m^3 =d
- Volume of admixture = (7.6/ 1.145x1/1000=0.006 m^3
6.Volume of coarse aggregate and fine aggregate = a - (b+ c+ d+ e) = 1- (0.090 + 0.055 +0.149+ 0.006) = 0.7 m^3
7.Mass of coarse aggregate = 0.7 x 0.62 x 2.74 x1000 = 1189.16 kg/m^3
8.Mass of fine aggregate = 0.7 x 0.38 x 2.74 x1000 = 728 kg/m^3
RESULTS AND CONCLUSION:
TRIAL MIX:
Cement = 285 kg/m^3
Fly ash = 122 kg/m^3
Water = 149 litres
coarse aggregate = 1189 kg/m13
Fine aggregate = 728 kg/m^3
Chemical admixture = 7.6 kg/m13
Water cement ratio = 0.366
Trial mix ratio: 285:728: 1189
= 1: 2.55: 4.17 (C: FA:CA)
AIM
To calculate the concrete mix design for M50 grade of concrete without fly ash
CODES FOR CONCRETE MIX DESIGN
IS 10262:2009
IS 456:2000
IS 8112
IS 9103
IS 3812 (part 1)
PROCEDURE AND CALCULATION
- a) The concrete mix design for M50 grade concrete:
Stipulations for Concrete design mix
Grade designation: M50
Type of cement: OPC 43 grade
Maximum nominal size of aggregate:20mm
Minimum cement content:320 Kg (From Table 5 of IS 456:2000)
Maximum water-cement ratio: 0.45 (From Table 5 of IS 456:2000)
Degree of Workability: 100mm slump
Exposure condition: Sever
Method of concrete placing: Pumping
Degree of supervision: Good
Type of aggregate: Crushed angular aggregate
Maximum cement content: 450 kg/m^3
Chemical admixture type: Superplasticizer
Test Data for Material
Cement used: OPC 43 Grade conforming to IS 8112
Specific gravity of cement: 3.15
Chemical admixture: Super plasticizer conforming to IS 9103
Specific gravity of fly ash: 2.2
Specific gravity of coarse aggregate: 2.74
Specific gravity of fine aggregate: 2.74
Water absorption of coarse aggregate: 0.5%
Water absorption of fine aggregate: 1.0%
Sieve Analysis: Test for coarse aggregate should conforming to Table-2 of IS
Sieve Analysis: Test for fine aggregate should conforming to Grading of Zone of IS 383
Determination of Target Strength of concrete
Target mean strength f'ck= fck + (1.65*S)
Where,
f'ck= target average compressive strength at 28 days
fck = characteristics compressive strength at 28
S= standard deviation
From Table 1 of is 10262:2009 the standard deviation for M50 grade concrete is
S = 5 N/mm^2
Target mean strength f'ck= 50+ (1.65*5)
f'ck= 58.25 N/mm^2
Determination of water cement ratio
From Table 5 of IS 456-2000
Exposure condition is Severe
Maximum water-cement ratio: 0.45
Based on the experience, we have adopted water-cement ratio: 0.44
0.44<0.45, hence OK.
Selection of water content
From Table-2 of IS 10262:2009.
Nominal size of aggregates = 20 mm
maximum water content for 25 to 50 mm slump range =186 litre
Here slump value is 100mm
3% of water content must increase for every extra 25 mm slump.
Estimated water content for 100 mm slump =186+6/100 x186 =197 litres
As superplasticizer is used water content is reduced up to 20%
As trail it can be 20%
water content = 197*0.80 = 158 litres
Calculation of cement content
Water cement ratio =0.44
Water content = 158 litres
Cement content = 158/0.44 =359 kg/m^3
From Table 5 of IS 456, Minimum cement content for 'Severe' exposure conditions kg/m^3
359 kg/m^3>320 kg/ m13
Hence ok
Calculation of volume of coarse aggregate and fine aggregate
From Table 3 of IS: 10262-2009 volume of coarse aggregate corresponding tor 20mm aggregate and for fine aggregate (zone 2) water cement ratio 0.50 = 0.62
In the present case the water-cement ratio we have calculated is 0.44
So, the proportion of volume of coarse aggregate is increased by 0.02 (at the rate
for every ‡ 0.05 change in water-cement ratio)
So, the value is 0.64
For pumpable concrete the value is reduced by 10%
Volume of coarse aggregate =0.64*0.9 =0.56
Volume of fine aggregate= 1- 0.56 = 0.44
Mix calculation
- Volume of concrete = 1 m^3
- Volume of cement = Mass of cement/Specific gravity of cement * (1/1000)
= 359/3.15* (1/1000)
=0.114m^3
- Volume of water = Mass of water/Specific gravity of water * (1/1000) =158/1* (1/1000) =0.158m^3
- Volume of chemical admixtures = Mass of chemical admixture/Specific gravity of
water * (1/1000)
=7.18/1.145* (1/1000)
=0.0062m^3
- e) volume of aggregate (FA+CA) =a- (b+c+d) =1-(0.114+.158+0.0062) =0.7218m^3
- f) Mass of coarse aggregates = ex Volume of coarse aggregate × Specific gravity of
coarse aggregate × 100
=0.7218 x 0.568 x 2.74 x 1000 = 1123.35 kg/m^3
- g) Mass of fine aggregates = e x Volume of fine aggregate × Specific gravity of fine
aggregate × 1000
=0.7218x 0.432x 2.74 x1000 =854.38 kg/m^3
RESULTS
Mix proportion
Cement =359kg/m13
Water =158kg/m13
Fine aggregate =854.38 kg/m13
Coarse aggregates =1123.35 kg/m13
Chemical admixtures =7.18 kg/m^3
Water cement ratio =0.40
Trail mix ratio =1:2.37:3.129