Challenge

Project on Concrete Mix Design for various grades of Concrete

AIM: To calculate the Concrete Mix Design for M35 grade Concrete with Fly ash.

INTRODUCTION: Mix design is a process of proportioning the materials required for preparation of concrete to attain the desired strength and durability of the concrete.

Test Data of materials:

The following data are collected from standard lab tests:

Specific gravity of cement = 3.15

Concrete = M35 = fck = 35N/mm^2

Specific gravity of Coarse Aggregate = 2.74

Specific gravity of Fine Aggregate = 2.56

Slump value = 50mm

Minimum cement content = 360 kg/m^3

PROCEDURE:

STEPS AND CALCULATION:

1. TARGET MEAN STRENGTH:

ft = fck +1.65 S

ft = target mean strength

fck = compressive strength at 28 days of concrete

S = standard deviation ( IS 10262:2009 , table -1)

ft = fck + 1.65 5

fck= 35 N/mm^2

Table 1- IS 10262:2009

S = 5 N/mm^2

ft = 35 + ( 1.65 x 5)

Targeted mean strength = 43.25 N/mm^2

2. CALCULATION OF WATER CEMENT RATIO:

Exposure condition : Extreme ( for reinforced concrete)

Table 5 – IS 456 : 2000

Taking water-cement ratio = 0.40

3. CALCULATION OF WATER CONTENT:

Nominal size of aggregates= 20 mm

Table 2 -IS 10262: 2009

Minimum water content = 186 litres (Slump ranges from 25 to 50 mm)

As superplasticizer used water content reduced by 20%

Based on trails with super plasticizer water reduced 20%. Hence the arrived water content = 186-(186*(20/100)) = 149 litre.

4. CALCULATION OF CEMENT CONTENT With FLY ASH:

Water cement ratio = w/c= 0.40

Water content = W = 149 litre

Cement content = c =149/0.40 = 372.5 = 370 kg/m^3

Minimum cement content = 360 kg/m^3

From Table 5 of IS 456 minimum cement content is taken

360< 370 kg/m^3 ( Hence satisfied )

The increase by 10 % is done by trial and error method.

Cement material content = 370 x 0.10 + 370 = 407 kg/m^3

Water content = 149 kg/m^3

Now, the water-cement ratio = 149/407 = 0.366

Fly ash at 30% total cementitious material content = 407 x 30/100

= 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 which is used in the mix = 122 kg/m^3

5. VOLUME OF COARSE AGGREGATES AND FINE AGGREGATES:

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

(at the rate of +/- 0.01 for every +/- 0.05 change in the water-cement ratio)

So, corrected volume of coarse aggregate for the water-cement ratio 0.40 = 0.62

Therefore volume of coarse aggregate = 0.62

Volume of fine aggregate = 1-0.62 = 0.38

6. MIX CALCULATIONS:

1. Volume of concrete = 1m^3

2. Volume of cement = (mass of cement/specfic gravity of cement) x (1/1000)

=(285/3.15) x (1/1000)

= 0.090 m^3

3. Volume of fly ash = (mass of fly ash/specific gravity of fly ash) x (1/1000)

= (122/2.2) x (1/1000)

=0.055 m^3

4. Volume of water = (mass of water/specific gravity of water) x (1/1000)

= (149/1) x (1/1000)

=0.149 m^3

5. Volume of admixture = (mass of chemical admixture/specific gravity of chemical admixture)x (1/1000)

=(7.6/1.145) x (1/1000)

=0.006 m^3

6. Volume of coarse aggregate and fine aggregate =(volume of concrete)-(volume of cement+volume of fly ash+volume of water+volume of admixture)

= a - ( b + c + d+ e)

= 1- (0.090 + 0.055 + 0.149 + 0.006)

= 0.7 m^3

7. Mass of coarse aggregate = volume of aggregate x volume of coarse aggregate x specific gravity of coarse aggregate x1000

= 0.7 x 0.62 x 2.74 x1000

= 1189.16 kg/m^3

8. Mass of fine aggregate = volume of aggregate x volume of fine aggregate x specific gravity of fine aggregate x1000

= 0.7 x 0.38 x 2.56 x1000

= 680.96 kg/m^3

RESULTS: Mix design of M35 grade concrete with fly-ash is designed.

Cement = 285 kg/m^3

Fly ash = 122 kg/m^3

Water = 149 kg/m^3

Coarse aggregate = 1189 kg/m^3

Fine aggregate = 680.96 kg/m^3

Chemical admixture = 7.6 kg/m^3

Water cement ratio = 0.36

Trail Mix Ratio = 1:1.67:2.92

AIM: To calculate the Concrete Mix Design for M50 grade Concrete without Fly ash.

INTRODUCTION: Mix design is a process of proportioning the materials required for preparation of concrete to attain the desired strength and durability of the concrete.

Test Data of materials:

The following data are collected from standard lab tests:

Specific gravity of cement = 3.12

Concrete = M50 = fck = 50N/mm^2

Specific gravity of Coarse Aggregate = 2.74

Specific gravity of Fine Aggregate = 2.56

Slump value = 50mm

Minimum cement content = 360 kg/m^3

PROCEDURE:

STEPS AND CALCULATIONS :

1. TARGET MEAN STRENGTH:

ft = fck +1.65 S

ft = target mean strength

fck = compressive strength at 28 days of concrete

S = standard deviation ( IS 10262:2009 , table -1)

ft = fck + 1.65 S

fck= 50 N/mm^2

Table 1- IS 10262:2009

S = 5 N/mm^2

ft = 50 + ( 1.65 x 5)

Targeted mean strength = 58.25 N/mm^2

2. CALCULATION OF WATER CEMENT RATIO:

Exposure condition : Extreme ( for reinforced concrete)

Table 5 – IS 456 : 2000

Taking water-cement ratio = 0.35

3. CALCULATION OF WATER CONTENT:

Nominal size of aggregates= 20 mm

Table 2 -IS 10262: 2009

Minimum water content = 186 litres (Slump ranges from 25 to 50 mm)

As superplasticizer used water content reduced by 20%

Based on trails with super plasticizer water reduced 20%. Hence the arrived water content = 186-(186*(20/100)) = 149 litre.

4. CALCULATION OF CEMENT CONTENT:

Water-cement ratio = 0.35

Cement content = 149/0.35 = 426 kg/m^3

From Table 5 of IS 456:2000,

minimum cement content for ‘Extreme exposure’ condition = 360 kg/m^3

426 kg/m^3 > 360 kg/m^3 Hence satisfied.

5. VOLUME OF COARSE AGGREGATES AND FINE AGGREGATES:

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 = 0.35

(at the rate +/- 0.01 for every +/- 0.05 change in the water-cement ratio )

So, corrected volume of coarse aggregate for water-cement ratio = 0.35 = 0.65

Therefore volume of coarse aggregate = 0.65

Volume of fine aggregate = 1-0.65 = 0.35

6. MIX CALCULATIONS:

1. Volume of concrete = 1m^3

2. Volume of cement = (mass of cement/specfic gravity of cement) x (1/1000)

=(426/3.12) x (1/1000)

= 0.136 m^3

3. Volume of water = (mass of water/specific gravity of water) x (1/1000)

= (149/1) x (1/1000)

=0.149 m^3

4. Volume of admixture = (mass of chemical admixture/specific gravity of chemical admixture) x (1/1000)

=(8.2/1.145) x (1/1000)

=0.007 m^3

5. Volume of coarse aggregate and fine aggregate = (volume of concrete)-(volume of cement + volume of water + volume of admixture)

= a – ( b + c + d)

= 1-(0.136 + 0.149 + 0.007)

= 0.708 m^3

6. Mass of coarse aggregate = volume of aggregate x volume of coarse aggregate x specific gravity of coarse aggregate x1000

= 0.708 x 0.60 x 2.74 x1000

= 1163.95 kg/m^3

7. Mass of fine aggregate = volume of aggregate x volume of fine aggregate x specific gravity of fine aggregate x1000

= 0.708 x 0.35 x 2.56 x1000

= 634.36 kg/m^3

RESULTS: Mix design of M50 grade of concrete without fly-ash is designed.

Cement = 426 kg/m^3

Water = 149 kg

Coarse aggregate = 1163.95 kg/m^3

Fine aggregate = 634.36 kg/m^3

Chemical admixture = 8.2 kg/m^3

Water cement ratio = 0.35

Trial Mix Ratio = 1:1.48:2.73

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