Challenge

Project on Concrete Mix Design for various grades of Concrete

Calculate the Concrete Mix Design for M35 grade concrete with fly ash

solution : data base

step 1 : stipulation for proportion

  • M35 grade concrete with fly ash
  • cement used - opc 33grade
  • Type of fly ash admixture -flyash
  • Chemical admixture -super plasticizers
  • nominal size - 20mm aggregate
  • slump =75 mm
  • exposure condition - severe
  • zone of fine aggregate - zone 2

IS 10262 -2019

1 . Target mean strength:

f'ck = fck + 1.65 S

f'ck = 35 +1.65*S

S- standard deviation (from table 2) = 5 N/MM^2

f"ck = 35 + 1.65*5

f'ck =43.25 N/mm^2

2.W/C ratio

w/c ratio = 0.38

Table 5 -page no.20

severe -0.45

between 0.38 and 0.45

lower value = 0.38

3.water content

slump value =75mm

for every 25mm 3%needs to be incresed

186 +3/100*186=192kg

Reducing w/c ratio 20-30%

(192*30/100)-192

=134 lit

4.Cement content

W/C =0.38 ( Got from 2nd step )

134/0.38 =c

C=352.63 =353KG

Cementatious content = 10%

353+ 30/100*353 = 388.3 (cement +flyash )

Flyash = 30% of cementatious concrete

30/100*388-388 = 116.4

388-116.4 =271.6 kg

cement =271.6 kg

cement save =353- 271

=1 .1/2-bag of cement

w/c= 134/388

= 0.35

5 ) calculation of Coarse aggregate and fine aggregates

0.20 nominal size - 0.62 (from table 5)

volume of coarse aggregate =0.62

(0.5-w/c/0.05 *0.01)+ volume of aggregates

(0.5-0.35/0.05)*0.01+0.62

volume of coarse aggregate = 0.65

pumpable concrete=0.65*0.9

= 0.585 = 0.59

Volume of fine aggregate = 1-0.59

=0.41

mix calaculation

1.volume of concrete=1m^3

2.volume of concrete = 0.086

1-(0.086+0.052+0.006+0.134)

volume of aggregate = 0.72

in 1m^3 = 0.72 is total aggregate

=0.72 m^3

mass of coarse aggregate =0.72*0.59*2.75*1000

=1171.44 kg/m^3

mass of fine aggregate

0.41*0.72*2.74 *1000

= 809 kg/m^3

Mix proportion of trail no.1

cement -271 kg

water - 134 lit

fine aggregate-809 kg/m^3

coarse aggregate - 1171.44 kg/m^3

water cement -0.38

2. M50 grade concrete mix design without Fly ash

solution : data base

step 1 : stipulation for proportion

  • M50 GRADE CONCRETE
  • cement used - opc 53 grade
  • Chemical admixture -super plasticizers
  • nominal size - 20mm aggregate
  • slump =50 mm
  • exposure condition - severe
  • zone of fine aggregate - zone 1

IS 10262 -2019

1 . Target mean strength:

f'ck = fck + 1.65 S

f'ck = 50 +1.65*S

S- standard deviation (from table 2) = 5 N/MM^2

f"ck = 50 + 1.65*5

f'ck =58.25 N/mm^2

2.Selection of Watre/Cement ratio

From table 5 of IS 456:2000

severe -0.45

= 0.45

3.water content

slump value =50 mm

=186 lit

reducing water content 25%

(186*25/100)

=139.5 lit

4.Cement content

W/C =0.45 ( Got from 2nd step )

139/0.45 =c

C=308.88 =309 kg/m^3

4 ) calculation of Coarse aggregate and fine aggregates

Volume of coarse aggregate per unit volume of total aggregate for corresponding to 20mm maximum size and zone 1 of fine aggregate

0.60-table 3 of IS-10262:2009

Volume of coarese aggregatte =0.60

(0.5-w/c/0.05 *0.01)+ volume of aggregates

(0.5-0.45/0.05)*0.01+0.60

volume of coarse aggregate = 1.01

pumpable concrete=1.01*0.9

0.90

Volume of fine aggregate = 1-0.90

=0.1

mix calaculation

1.volume of concrete=1m^3

2.volume of aggregate (C.A&F.A) =a-(b+c+D)

1-(0.098+0.139+0.006)

volume of aggregate = 0.75 m^3

in 1m^3 = 0.75m^3 is total aggregate

e=0.75m^3

mass of coarse aggregate = 0.75*0.56*2.74*1000

=1155 kg/m^3

mass of fine aggregate

0.75*0.1*2.74 *1000

= 206.25 kg/m^3

Mix proportion of trail no.1

cement -309 kg

water - 139 lit

fine aggregate-206.25 kg/m^3

coarse aggregate - 1155 kg/m^3

chemical admixture -7kg

water cement -0.45

Trial mix ratio = 1:2.35:2.86

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