Challenge

Project on Concrete Mix Design for various grades of Concrete

Calculate the Concrete Mix Design for M35 grade concrete with fly ash & M50 grade concrete without Fly ash

Concrete mix design for M35 grade concrete with fly ash:

I. Stipulations for proportioning:

  1. Grade designation= M35
  2. Type of cement= OPC 53 grade confirming to IS 8112.
  3. Type of mineral admixture= Fly ash confirming to IS 3812(part2)
  4. Maximum nominal size of aggregate=20mm
  5. Minimum cement content= 340kg/m3 ( from table 5 of IS 456:2000)
  6. Maximum water-cement ratio= 0.45 (From table 5 of IS 456:2000)
  7. Workability= 100mm (slimp value for pumpable concrete)
  8. Exposure condition Very severe (for reinforced concrete)
  9. Method of concrete placing= Pumping
  10. Degree of supervision= Good
  11. Type of aggregate= Crushed angular aggregate.
  12. Maximum cement content= 450 kg/m3
  13. Chemical admixture type= Superplasticizer.

II. Test data for materials:

  1. Cement used= OPC 53 confirming to IS 8112
  2. Specific gravity of cement=3.15
  3. Mineral admixture= Fly ash confirming to IS 12089
  4. Specific gravity of fly ash=2.9
  5. Chemical [email protected]% confirming to IS 9103
  6. Specific gravity of:
  • Coarse aggregate= 2.74
  • Fine aggregate= 2.74
  • Admixture PCE based= 1.12

     g.Water absorption:

  • Coarse aggregate=0.5%
  • Fine aggregate=1%

     h.Sieve analysis:

  • Coarse aggregate= confirming to table 2-IS 383
  • Fine aggregate= Zone II (confirming to tablr 4-IS 383)

     i.Free surface moisture:

  • Coarse aggregate= Nil
  • Fine aggreate=Nil

III. Target strength of mix proportioning:

F'ck=Fck+1.65S

F'ck= 35+(1.65X5)

F'ck=43.25 N/mm^2

IV. Selection of water-cement ratio:

From table 5 of IS 456:2000 for very severe exposure,the w/c ratio=0.45

Based on experience,adopt watercement ratio as 0.45

therefore, 0.45=0.45 hence ok

V. Selection of water content:

From table 2 of IS 10262:2000,maximum water content for 20mm aggregate=186 Litres(for 25 to 50mm slump range)

Estimated water content for 100mm slump= 186+0.6% of 186

                                                              = 186+ (0.6/100X186)

                                                              = 197.16 litres = 198 litres

Since we are using plasticizers, the water content can be reduced up to 20%

The amount of water content to be reduced is depend on the type of superplasticizer.

Therefore,Percentage reduction in water content=20%

Water content required= 198-(20% of 198)

                                 =198-(20/100X198)

                                 =158.4 Litres= 160 litres 

VI. Calculation of cement content:

Water cement ratio=0.45

Cementitious material(cement+fly ash)content= 160/0.45

                                                                   = 355.55 kg

Since fly ash is used the amount of cementitious content(cement+fly ash)shall be increased.

The percentage of cementitious content to be increased depends on the experience and research.

Here, we have increased the cementitous content by 10%.

Final cementitious content(cement+fly ash)=356X1.10

                                                               = 391.6 kg/m^3

From table 5 of IS 456, minimum cement content required for very severe exposure condition=340kg/m^3.

Adopted cementitious content=391.6 kg/m^3

391.6>340 kg/m^3 hence ok.

Fly ash @30% total cementitious material content= 391.6X0.30

                                                                        =117.48kg/m^3=118kg/m^3

Cement content requirement= 391.6-117.48

                                          = 274.12 kg/m^3

Calculation of superplasticizer @0.6% to the mass of cementitious content=391.6X0.6%

                                                                                                           =391.6X(0.6/100)

                                                                                                           = 2.34kg/m^3

VII. Proportion of volume of coarse and fine aggregate:

From table 3 of IS 10262:2009,volume of coarse aggregate corresponding to 20mm size of aggregate and fine aggregate(ZoneII) for water cement ratio=0.62

As w/c ratio is lower by 0.10,proportion of volume of coarse aggregate is increased by 0.02.(at the rate of +/- 0.01 for every 0.05 change in w/c ratio)

Therefore, Volume of fine aggregate content=1-0.63

                                                                = 0.37 

VIII. Mix calculations:

  1.  Volume of concrete=1m^3
  2. Volume of cement=(Mass of cement/Specific gravity of cement)X (1/1000)

                                   =(275/3.15) X (1/1000)

                                   = 0.087 cu.m

    c. Volume of fly ash=(Mass of fly ash/Specific gravity of fly ash)X (1/1000)

                                = (118/2.5) X (1/1000)

                                0.047 cu.m

    d. Volume of water=(Mass of water/Specific gravity of water)X (1/1000)

                               =(160/1)X(1/1000)

                               = 0.160cu.m

   e. Volume of superplasticizer= (Mass of superplasticizer/Specific gravity of superplasticizer)X (1/1000)

                                             = (2.35/1.12) X (1/1000)

                                             = 0.002 cu.m

   f. Volume of aggregate (CA & FA)= {a-[b+c+d+e]}

                                                   = {1-[0.087+0.047+0.160+0.002]}

                                                   = 1-0.296

                                                   =0.71 cu.m

   g. Mass of coarse aggregate= fX Volume of coarse aggregate X specific gravity of coarse aggregate X 1000

                                           = 0.71 X 0.63 X 2.74 X 1000

                                           = 1225.6 kg/m^3

   h. Mass of fine aggregate= f X Volume of fine aggregate X specific gravity of fine aggregate X 1000

                                        = 0.71 X 0.37 X 2.74 X 1000

                                        =  719.79 kg/m^3

XI. Mix proportions for trial number:

  1. Cement                 =275kg/m^3
  2. Fly ash                  =118kg/m^3
  3. Water                    =160 litres
  4. Fine aggregates      =720 kg/m^3
  5. Coarse aggregate    =1226kg/m^3
  6. Chemical admixture =2L

To find the design mix ratio divide the calculated value of all the materials by the weight of cement.

Mix ratio of M35 grade concrete by weight = Cement : Fly ash : Coarse aggregate : Fine aggregate : Water

                                                              = 1 : 0.4 : 4.46 : 2.6 : 0.58

Concrete mix design for M50 grade concrete without fly ash:

I. Stipulations for proportioning:

  1. Grade designation= M50
  2. Type of cement= OPC 53 grade confirming to IS 8112.
  3. Maximum nominal size of aggregate=20mm
  4. Minimum cement content= 360kg/m3 ( from table 5 of IS 456:2000)
  5. Maximum water-cement ratio= 0.35 (From table 5 of IS 456:2000)
  6. Workability= 50-75mm (slimp value for pumpable concrete)
  7. Exposure condition Extreme (for reinforced concrete)
  8. Method of concrete placing= Pumping
  9. Degree of supervision= Good
  10. Type of aggregate= Crushed angular aggregate.
  11. Maximum cement content= 450 kg/m3
  12. Chemical admixture type= Superplasticizer.

II. Test data for materials:

  1. Cement used= OPC 53 confirming to IS 8112
  2. Specific gravity of cement=3.12
  3. Specific gravity of:
  • Coarse aggregate= 2.74
  • Fine aggregate= 2.56

     g.Water absorption:

  • Coarse aggregate=0.5%
  • Fine aggregate=1%

     h.Free surface moisture:

  • Coarse aggregate= Nil
  • Fine aggreate=Nil

III. Target strength of mix proportioning:

F'ck=Fck+1.65S

F'ck= 50+(1.65X5)

F'ck=58.25 N/mm^2

IV. Selection of water-cement ratio:

From table 5 of IS 456:2000 for extreme exposure,the w/c ratio=0.35

Based on experience,adopt water cement ratio as 0.45

therefore, 0.35<0.45 hence ok

V. Selection of water content:

From table 2 of IS 10262:2000,maximum water content for 20mm aggregate=186 Litres(for 25 to 50mm slump range)

Estimated water content for 100mm slump= 186+0.6% of 186

                                                              = 186+ (0.6/100X186)

                                                              = 197 litres

Since we are using plasticizers, the water content can be reduced up to 20% or above.

The amount of water content to be reduced is depend on the type of superplasticizer.

Therefore,Percentage reduction in water content=27%

Water content required= 197-(27% of 198)

                                 =197-(27/100X198)

                                 =143 Litres

VI. Calculation of cement content:

Water cement ratio=0.35

Cementitious material(cement+fly ash)content= 160/0.35

                                                                   = 410 kg/m^3

From table 5 of IS 456 minimum cement content for extreme exposure condition= 360kg/m^3

410kg/m^3.360kg/m^3, hence OK.

VII. Proportion of volume of coarse and fine aggregate:

From table 3 of IS 10262:2009,volume of coarse aggregate corresponding to 20mm size of aggregate and fine aggregate(ZoneII) for water cement ratio 0.50=0.62

In the present case water-cement ratio is 0.35. Therefore the volume of coarse aggregate is required to be increased to be decreased the fine aggregate. 

As w/c ratio is lower by 0.10,proportion of volume of coarse aggregate is increased by 0.02.(at the rate of +/- 0.01 for every 0.05 change in w/c ratio)

Therefore, the corrected proportion of the volume of the coarse aggregate for water cement ratio is 0.35=0.65

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

Therefore, volume of coarse aggregate=0.65X0.9

                                                        =0.585.

Volume of fine aggregate content= 1-0.585

                                                = 0.415

VIII. Mix calculations:

  1.  Volume of concrete=1m^3
  2. Volume of cement=(Mass of cement/Specific gravity of cement)X (1/1000)

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

                                   = 0.131 cu.m

    c. Volume of water=(Mass of water/Specific gravity of water)X (1/1000)

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

                               = 0.143 cu.m

   d. Volume of superplasticizer= (Mass of superplasticizer/Specific gravity of superplasticizer)X (1/1000)

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

                                             = 0.007 cu.m

   e. Volume of all aggregate (CA & FA)= {a-[b+c+d]}

                                                   = {1-[0.131+0.143+0.007]}

                                                   = 1-0.281

                                                   =0.719 cu.m

   f. 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/m^3

   g. 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/m^3

XI. Mix proportions for trial number:

  1. Cement                 =410 kg/m^3
  2. Water                    =143 litres
  3. Fine aggregates      =736.86 kg/m^3
  4. Coarse aggregate    =1152.48 kg/m^3
  5. Super plasticizer     =7 kg/m^3
  6. Water cement ratio = 0.35

To find the design mix ratio divide the calculated value of all the materials by the weight of cement.

Mix ratio of M35 grade concrete by weight = Cement  : Coarse aggregate : Fine aggregate : Water

                                                              = 1 : 2.8 : 1.79 : 0.34

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