Challenge

Project on Concrete Mix Design for various grades of Concrete

Calculate the concrete mix design for M35 grade concrete with fly ash and M50 grade concrete without fly ash

Calcultion:

Target mean strength

F’ck= Fck +1.65s

F’ck=35 N/mm^2

S=5 N/mm^2

F’ck=35+(1.65)*5

=43.25 N/mm^2

2) selection of water cement ratio

Given,

M35

Table IS 456:2000

w/c =0.40

M35=w/c=0.45

Water cement ratio =0.40

Minimum cement ratio =360 kg/m^3

Table 456:2000

3) selection of water content

IS10262:2009 nominal size of aggregate=20mm

Minimum water content = 186

20% reduced

=186*80/100 =148.8

Water content 149 liters

4) calculation of cement content

( Cement + fly ash)

w/c =0.40

Water content w=149kg

C=149/0.40

=372.5 =370 kg/m^3

Minimum cemnt content =360 kg/m^3

360<370 kg/m^3

Increase 10%

370*0.10 +370=407kg/m^3

W=149kg

Water content ratio =149/407 =0.365

Fly ash at 30%

= 407*30/100= 122 kg/m^3

Cement =407-122 = 285 kg/m

Saving of cement while using fly ash =370-285 =85 kg/m^3

Fly ash =122 kg/^3

5) volume of coarse aggregate and fine aggregate

IS 383

Size of aggregate =20mm

Fine aggregate zone 1

Volume of coarse aggregate =0.60

Warer cement ratio = 0.40

Volume of aggregate =1-0.62 =0.38

6) Mix Calculation

  1. volume of concrete =1m^3
  2. volume of cement =285/3.15*1/1000 = 0.090m^3
  3. volume of Fly Ash = (122/2.2) *1/1000 = 0.055m^3
  4. volume of water = (149/1) *1/1000 = 0.149m^3
  5. volume of Admixture = (7.6/1.145) *1/1000 = 0.006m^3
  6. volume of coarse aggregate and fine aggregate =a(-b+c+d+e)

=1(-0.090+0.055+0.149+0.006) =0.7m^3

  1. mass of coarse aggregate = 0.7*0.62*2.74*1000 =1189.16 kg/m^3
  2. mass of fine aggregate =0.7*0.38*2.74*1000 = 728 kg/m^3

Result and conclusion

Trial mix

Cement = 285 kg/m^3

Fly Ash = 122 kg/m^3

Water = 149 kg

Coarse aggregate = 1189 kg/m^3

Fine aggregate = 728 kg/m^3

Chemical Admixture = 7.6 kg/m^3

Water cement ratio = 0.366

Trial mix ratio 285:728:1189 = 1:2.55:4.17 (C: FA:CA)

  • This trial mix ratio should match the workability, durability minimum strength of M35 grade concrete.
  • If it does not satisfy the above criteria two or more trials for increase of 10% should be done.

* To calculate M50 Grade without Fly Ash

Calcultion:

Target mean strength

F’ck= Fck +1.65s

F’ck=50 N/mm^2

S=5 N/mm^2

F’ck=50+(1.65)*5

=58.25 N/mm^2

2) selection of water cement ratio

Given,

M50

Table IS 456:2000

w/c =0.40

M35=w/c=0.45

Water cement ratio =0.40

Minimum cement ratio =360 kg/m^3

Table 456:2000

3) selection of water content

IS10262:2009 nominal size of aggregate=20mm

Minimum water content = 186

20% reduced

=186*80/100 =148.8

Water content 149 liters

4) calculation of cement content

( Cement + fly ash)

w/c =0.40

Water content w=149kg

C=149/0.40

=372.5 =373 kg/m^3

Minimum cemnt content =360 kg/m^3

360<373 kg/m^3

5) volume of coarse aggregate and fine aggregate

IS 383

Size of aggregate =20mm

Fine aggregate zone 1

Volume of coarse aggregate =0.60

Warer cement ratio = 0.40

Volume of aggregate =1-0.62 =0.38

6) Mix Calculation

  1. volume of concrete =1m^3
  2. volume of cement =373/3.15*1/1000 = 0.118m^3
  3. volume of water = (149/1) *1/1000 = 0.149m^3
  4. volume of Admixture = (7.6/1.145) *1/1000 = 0.006m^3
  5. volume of coarse aggregate and fine aggregate =a(-b+c+d+e)

=1(-0.118+0.149+0.006) =0.727m^3

  1. mass of coarse aggregate = 0.727*0.62*2.74*1000 =1235.02 kg/m^3
  2. mass of fine aggregate =0.727*0.38*2.74*1000 = 756.9 kg/m^3

Result and conclusion

Trial mix

Cement = 373 kg/m^3

Water = 149 kg

Coarse aggregate = 1235.9 kg/m^3

Fine aggregate = 756 kg/m^3

Chemical Admixture = 7.6 kg/m^3

Water cement ratio = 0.38

Trial mix ratio 373:756:1235.02 = 1: 2.02: 3.31 (C: FA:CA)

  • This trial mix ratio should match the workability, durability minimum strength of M50 grade concrete.
  • If it does not satisfy the above criteria two or more trials for increase of 10% should be done.
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