Challenge

Project on Concrete Mix Design for various grades of Concrete

ANS :-

For M35 Grade

  1. Type of Cement = OPC
  2. Type of Admixture = Fly ash
  3. Maximum Nominal Size of Aggregate = 20mm
  4. Minimum Cement Content = 340kg ......................IS 456
  5. Maximum Cement Content = 450kg ......................IS 456
  6. Partial replacement of cement by Fly ash= 30% ................As per requirement
  7. Maximum W/C ratio = 0.45
  8. Workability =100mm
  9. Water absorption
    Coarse aggregate = 0.5%
    Fine aggregate = 1%
  10. Sieve Analysis
    Coarse aggregate = -
    Fine aggregate = Zone 2
  • Target strength for mix proportion of M35 grade concrete
    Fck = fck+1.65s
    Fck = 35+1.65X5
    Fck = 43.25 N/mm2
  • Selection of water cement ratio
    Maximum W/C ratio =0.45
    Adopted W/C ratio =0.45
  • Selection of water content =186 liters
    The water content above is for a slump of 25 to 50 mm, but according to the specification our concrete requires a slump of 100 mm. Therefore, to get the desired slump, the water content must be increased. Clause 4.2 of IS1026 recommends increasing the water content by 3% to obtain an additional 25 mm slump. Therefore, to obtain a slump of 50 mm in addition to our concrete, the water content must be increased by 6%.
    Water-content for 100mm Slump = 186+(0.06*186) =197.16 liters
    As we use super plasticizers we can reduce the water content to gain strength in the concrete. The amount of water-content to be reduced depends on the type of super plasticizer.
    Percentage of Reduction in water content = 20%
    Water content requirement after Super Plasticizer = 198-(0.20X198) =157.73 liters
    Adopted Water Content = 160 liters
  • Calculation of cement and fly ash content
    Adopted W/C ratio =0.45
    Total Cementitious (Cement +Fly ash) requirement = Water Content / WaterCement ratio
    = 160/0.45
    = 355.55 kg
    Here we have increased the cementitious content by 10%.
    Final Cementitious Content (Cement+Fly ash) = 356X1.10
    = 391.6 kg 0
    Minimum Cement Content required for ‘severe’ exposure= 340 kg .............................AS per IS 456
    Adopted Cementious content =391.6 kg > 340 kg
    Fly ash content requirement = 391.6X0.30 ..................30% replacement
    = 117.48~118 kg
    Cement Content requirement =Cementious content – Fly ash
    =391.6-117.48
    =274.12
    Calculation of Super Plasticiers @ 0.6 percent to the mass of cementitious content = = 391.6*(0.6/100) = 2.35 kg
  • Coarse & Fine aggregate
    Coarse Aggregate ratio = 0.62 .................For W/c ratio =0.5
    Coarse Aggregate ratio for 0.45 w/c ratio = 0.63
    Final Fine Aggregate ratio = 0.37 .........................(1-0.63)=0.37
  • Calculation of M35 Grade concrete
  1. Volume of Concrete= 1 m3.
  2. Total Volume of Cement =Cement/(Specific gravityX1000)
    = 275/(3.15X1000) =0.087 m3
  3. Total Volume of Fly ash =Flyash/(Specific gravityX1000)
    =118/(2.5X1000) =0.041 m3
  4. Volume of Water= Water /(Specific gravityX1000)
    =160/(1X1000) = 0.160 m3.
  5. Volume of Superplasticizers = Superplasticizers /(Specific gravityX1000)
    =2.35/(1.12X1000) =0.002m3
  6. Total Aggregates requirement = Volume of Concrete -(Total Volume of Cement+Total Volume of Fly ash+Volume of Water+Volume of Superplasticizers)
    =1 -(0.087 +0.041+0.160+0.002) = 0.71 m3
  7. Coarse Aggregate (C.A)= Total Aggregates requirement X Coarse Aggregate ratio X Specific gravity X 1000
    =0.71X0.63X2.74X1000 =1225.6 kg
  8. Fine Aggregate (F.A)= Total Aggregates requirement XFine Aggregate ratio X Specific gravity X 1000
    =0.71X0.37X2.74X1000 =719.8 kg
S.No. MATERIALS QUANTITY
1 Cement 275 kg
2 Flyash 118 kg
3 Fine Aggregate 720 kg
4 Coarse Aggregate (20mm) 1226 kg
5 WATER 160 L
6 PCE based SuperPlasticizer 2 L

For M50 Grade

  • Grade designation : M 50
  • Type of cement : OPC 53 grade confirming to IS 8112
  • Maximum nominal size of aggregate : 20 mm
  • Minimum cement content : 360 kg/m3
  • Maximum water-cement ratio : 0.35
  • Workability : 50-75 mm (slump)
  • Exposure condition : Extreme (for reinforced concrete)
  • Method of concrete placing : Pumping
  • Degree of supervision : Good
  • Type of aggregate : Crushed angular aggregate
  • Maximum cement content : 450 kg/m3
  • Chemical admixture type : Super Plasticizer

Test data for materials

  • Specific gravity of cement : 3.12
  • Specific gravity of Coarse Aggregate : 2.74
  • Specific gravity of Fine Aggregate : 2.56

Procedure for concrete mix design of M50 grade concrete

  1. Target strength for mix proportioning=ftarget= fck+ 1.65 x Standard Deviation

    According to the table 1 of IS: 10262-2009 ,

    standard deviation, s = 5.0 N/mm2

    Target strength for mix proportioning=ftarget=50 + 1.65 x 5.0 = 58.25 N/mm2
  2. Selection of water cement ratio
    Maxiumum water cement ratio= 0.35 ...................From IS 456
  3. Selection of water content
    Maxiumum water content= 186liter ...................From IS 456 Table no. 2
    (for 25 to 50 mm slump range) for 20 mm aggregate.
    Maxiumum water content=186+(6/100) x 186 =197 litres.
    (for 25 to 50 mm slump range) for 20 mm aggregate.
    Based on Super plasticizer water content reduction of 27% has been achieved, Hence the arrived water content = 197 – [197 x (27/100)] = 143 litres.
  4. Calaculation of cement content

    Water-cement ratio = 0.35

    Cement content = 143/0.35 = 410 kg/m3

    From Table 5 of IS 456, minimum cement content for ‘Extreme exposure’ condition = 360 kg/m3

    410 kg/m3 > 360 kg/m3, hence, O.K.

  5. Coarse aggregate and fine aggregate content

    From Table 3 of IS 10262. volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone II) for a water-cement ratio of 0.50 =0.62.

    In the present case, the water-cement ratio is 0.35. Therefore. the volume of coarse aggregate is required to be increased to decrease the fine aggregate content. As the water-cement ratio is lower by 0.10. the proportion of the volume of coarse aggregate is increased by 0.02 (at the rate of -/+ 0.01 for every ± 0.05 change in the water-cement ratio).

    Therefore. the corrected proportion of the volume of coarse aggregate for the water-cement ratio of 0.35 = 0.65.

    For pumpable concrete, these values should be reduced by 10 percent.

    Therefore, volume of coarse aggregate = 0.65 x 0.9 = 0.585.

    Volume of fine aggregate content =1 – 0.585 =0.415

  6. Mix calculation
  • Volume of concrete = 1m3

    Volume of cement = (Mass of Cement/ Its Specific Gravity ) X (1/1000)

    = (410/3.12) X (1/1000)

    = 0.131 m3

    Volume of Water = (Mass of water/specific gravity of water) X (1/1000)

    = (143/1) X (1/1000)

    = 0.143 m3

    Volume of Superplasticizer = (Mass of Superplasticizer / Specific gravity of admixture) X (1/1000)

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

    = 0.007 m3

    Volume of all aggregate = ( Volume of concrete-(Volume of cement+Volume of Water+Volume of Superplasticizer)

    = 1 – (0.131 + 0.143+0.007)

    = 0.719 m3

    Mass of coarse aggregate = Volume of All Aggregate X Volume of Coarse Aggregate X Specific Gravity of Coarse Aggregate X 1000

    = 0.719 x 0.585 x 2.74 x 1000

    = 1152.48 kg

    Mass of fine aggregate = Volume of all aggregate X volume of fine aggregate X Specific gravity of fine aggregate X 1000

    = 0.719 x 0.415 x 2.56 x 1000

    = 763.86 kg

Concrete Mix Proportion

  • Cement = 410 kg/m3
  • Water = 143 kg/m3
  • Super plasticizer = 7 kg/m3
  • Fine aggregates = 763.86 kg/m3
  • Coarse aggregate = 1152.48 kg/m3
  • W/c = 0.35
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