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

Target mean strength of concrete=ft=fck+1.65*S

ft=35+1.65*5

ft=43.25

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

Step1

Using graph 1

Here, 28 days compressive strength of concrete= target mean strength=43.25 N/mm^2

Hence, we assume w/c ratio =0.35

Step2

GRAPH2

28 days compressive strength of concrete =target mean strength=43.25 N/mm^2

Hence, we use curve line E

we assume w/c ratio=0.41

Step3

Exposure condition=Maderate

From the table 5

Here, the limited value of the water-cement ratio is 0.50 for mmoderate environmmentalexposure

Hence, we take w/c ratio =0.50

now compaire all above the three values,

0.35

0.41

0.50

The lower value of the above three value is adopted as w/c ratio for mix design

Hence, our w/c ratio is 0.35

*Sellection of cement content:

-It will be calculated from w/c ratio

-Minimum cement content is taken from table-5 of IS 456:2000

W=186kg

w/c=0.35

C=186/0.35=531.43 Kg

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

VI. Calculate the cement content

w/c ratio=0.35

Cement content=140/0.35=400Kg/m^3

From Table -5 of IS 456 monimum cement content for 'severe' exposure condition= 320Kg/m^3

400Kg/m^3>320Kg/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=400*1.10=440 Kg/m^3

Water content=140L

w/c ratio=140/440=0.32

Flyash at 30% of cement=440*(30/100)=132 Kg/m^3

cement=440-132=308 Kg/m^3

Seving of cement using flyash=400-308=92 Kg/m^3

vii) 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=0.60

in the present case the water cement ratio is 0.35

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

-As w/c ratio is lower by 0.10, the proportion of volume of CA is increased by 0.02 (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 0.35=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=0.62X0.9=0.56

volume of FA content=1-0.56=0.44

viii) Mix calculation:

a) volume of concrete=1m^3

b) volume of cement=400/3.15 X 1/1000

=0.13 m^3

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

=0.140 m^3

d)volume of chemical admixture=7/1.145 X1/1000

=0.006m^3

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

=(1-(0.13+0.140+0.006))

=0.743 m^3

f) mass of CA=0.743 X 0.56 X 2.74 X 1000

=1140 Kg/m^3

g) mass of FA = 0.743 x 0.44 x 2.74 x 1000

=896 Kg/m^3

mix proportion for trial noumber 1:

cement = 350 kg/m^3

water = 140 kg/m^3

FA = 896 kg/m^3

CA = 1140 kg/m^3

chemical Adnixture= 7 kg/m^3

w/c ratio = 0.4

Trial mix ratio =1:2.56 : 3.26

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

Target mean strength of concrete =50+1.65X5

=58.25 N/mm^2

From the graf IS 10262 : 2019

Assume w/c ratio =0.27

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=0.27

C=186/0.27

=688.89 kg

Estimated water content for 100 mm slump

=186+6/100X186

=197L

Same as the M35 grade of concrete the arrived water content=197X0.71

=140L

vi) calculation of cement content

w/c ratio=0.27

cement content=140/0.27=518.52 Kg/m^3

hence ok from table 5 IS 456

vii) 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=0.60

in the present case the water cement ratio is 0.27

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

-As w/c ratio is lower by 0.10, the proportion of volume of CA is increased by 0.02 (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 0.27=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=0.62X0.9=0.56

volume of FA content=1-0.56=0.44

viii) Mix calculation:

a) volume of concrete=1m^3

b) volume of cement=518.52/3.15 X 1/1000

=0.164 m^3

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

=0.140 m^3

d)volume of chemical admixture=7/1.145 X1/1000

=0.006m^3

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

=(1-(0.164+0.140+0.006))

=0.69 m^3

f) mass of CA=0.69 X 0.56 X 2.74 X 1000

=1058.74 Kg/m^3

g) mass of FA = 0.69 x 0.44 x 2.74 x 1000

=831.86 Kg/m^3

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