Challenge

Project on Concrete Mix Design for various grades of Concrete

Ans. Data collection

Grade of concrete = M35

Exposure condition = moderate

grade of cement=M33(OPC)

fck=35N/mm^2

std. Deviation for M35= 5N/mm^2

I. Target mean strength of concrete

ft=fck+1.65*S

ft=35+1.65*5

ft=43.25 N/mm^2

Target mean strength of concrete=43.25 N/mm^2

II. Selection of w/c ratio

From the table 5 of IS 456: 2000

Maximum w/c ratio 0.50 for exposure condition Moderate

Adopted w/c ratio = .45

III. Selection of water content:

From table 2 of IS 10262: 2009,

maximum water content for 20mm aggregate = 186l (for 25mm to 50mm slump range)

For addititional slump 3% may be added for every 25mm slump

Estimated water content for 100 mm slump

=186+(6/100)X186

=197L

As superplasticizer is used, the water content can be reduced up to 20% and above based on trails water content reduction of 29% is achieved with plasticizer

Hence the arrived water content=197X0.71

=140L

IV. Calculation of cement content:

w/c ratio=0.45

Cement content=140/0.45=311.11 Kg/m^3

we can take 311 kg/m^3

From Table -5 of IS 456: 2000 minimum cement content for 'moderate' exposure condition= 300Kg/m^3

311Kg/m^3>300Kg/m^3 hence ok

To proportion a mix containing fly ash, the following steps are to be followed.

1. The % of fly ash need to be decided based on project requrement and quality of materials

2. Increase in cementitous material content is by 10%

cementitious material content=311*1.10=342 Kg/m^3

Water content=140L

w/c ratio=140/342 =0.40

Fly ash at 30% of cement=342*(30/100)= 102.6 Kg/m^3~103 kg/m^3

cement=342-103=239 Kg/m^3

Saving of cement using fly ash=311-239=72 Kg/m^3

V. Proportion of volume of CA and FA concrete

From table 3 of IS 10262:2009, volume of CA corresponding to 20mm size aggregate and FA (zone1) for w/c ratio 50 is 0.60

in the present case the water cement ratio is 0.45

- There fore the volume of CA need to be increased to decrease the FA content

-As w/c ratio is lower by 0.05, the proportion of volume of CA is increased by 0.01 (at the rate of -/+ 0.01 for every +-0.05 charge in w/c ratio

Therefore, corrected volume of CA for the w/c ratio of 0.45=0.61

(Note: if CA is not a angular types then also the volume of CA may be required to be increased suitably based on experience)

For pumpable concrete these value are reduced by 10%

Therefore, volume of CA=0.61X0.9=0.55

volume of FA content=1-0.55=0.45

VI. Mix calculation:

a) volume of concrete=1m^3

b) volume of cement =239/3.15 X 1/1000

=0.075 m^3

c) volume of fly ash =103/2.2 x 1/1000

= 0.046 m^3

d) volume of water =140/1 X 1/1000

=0.140 m^3

e) volume of chemical admixture =6.8/1.145 X1/1000

=0.006m^3

f) volume of aggregate(FA & CA) =(a-(b+c+d+e))

=(1-(0.075+0.046+0.140+0.006))

=0.733 m^3

g) mass of CA =0.733 X 0.55 X 2.74 X 1000

=1124 Kg/m^3

h) mass of FA = 0.733 x 0.45 x 2.74 x 1000

=906Kg/m^3

mix proportion for trial noumber 1:

Cement = 239 kg/m^3

Fly ash = 103 kg/m^3

Water = 140 kg/m^3

FA = 903 kg/m^3

CA = 1124 kg/m^3

chemical Adnixture= 6.8 kg/m^3

w/c ratio = 0.4

Trial mix ratio =1:3.77 :4.70

FOR M50 GRADE CONCRETE WITHOUT FLY ASH

Data collection--

Grade of concrete =M50

Exposure condition = moderate

Grade of concrete = M33 (OPC)

f'ck= 50 N/mm^2

Std deviation for M50= 5N/mm^2

I. Target mean strength of concrete

=50+1.65X5

=58.25 N/mm^2

II. Selection of water cement ratio

From Table 5 IS 456: 2000

maximum w/c ratio for 'moderate' exposure condition is 0.50

adopted w/c ratio = 0.45

III. Selection of cement content:

it can be calculated from w/c ratio

minimum cement content is taken from Table-5 of IS 456:2000

W=186 kg

w/c=0.45

C=186/0.45

=413.33 kg/m^3

Estimated water content for 100 mm slump

=186+6/100X186

=197L

As superplasticizer is used, the water content can be reduced up to 20% and above based on trails water content reduction of 29% is achieved with plasticizer

Hence the arrived water content=197X0.71

=140L

IV. calculation of cement content:

w/c ratio=0.45

cement content=140/0.45=311 Kg/m^3

hence ok from table 5 IS 456

V. Proportion of volume of CA and FA concrete

From table 3 of IS 10262:2009, volume of CA corresponding to 20mm size aggregate and FA (zone1) for w/c ratio .50 is 0.60

in the present case the water cement ratio is 0.45

- There fore the volume of CA need to be increased to decrease the FA content

-As w/c ratio is lower by 0.06, the proportion of volume of CA is increased by 0.01 (at the rate of -/+ 0.01 for every +-0.05 charge in w/c ratio

Therefore, corrected volume of CA for the w/c ratio of 0.45=0.62

(Note: if CA is not a angular types then also the volume of CA may be required to be increased suitably based on experience)

For pumpable concrete these value are reduced by 10%

Therefore, volume of CA=0.61X0.9=0.55

volume of FA content=1-0.55=0.45

VI. Mix calculation:

a) volume of concrete=1m^3

b) volume of cement=311/3.15 X 1/1000

=0.099 m^3

c) volume of water=140/1 X 1/1000

=0.140 m^3

d)volume of chemical admixture=6.22/1.145 X1/1000

=0.005m^3

e) volume of aggregate(FA & CA)=(a-(b+c+d))

=(1-(0.099+0.140+0.005))

=0.756 m^3

f) mass of CA =0.756 X 0.55 X 2.74 X 1000

=1139.29 Kg/m^3

g) mass of FA = 0.756 x 0.45 x 2.74 x 1000

=932.18 Kg/m^3

VII. Mix proportion for trial number1:

Cement = 311 kg/m^3

Water = 140kg/m^3

FA = 932 kg/m^3

CA = 1139 kg/m^3

Chemical admixture = 6.22 kg/m^3

W/C ratio = 0.40

Trial mix Ratio = 1: 2.99: 3.66

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