Challenge

Project on Concrete Mix Design for various grades of Concrete

AIM :

To calculate the concrete mix design for M35 grade concrete with fly ash

EQUATIONS:

  • Target mean strength:f'ck=fck+1.65 s

                                        f'ck= target mean strength

                                        fck=compressive strength at 28 days of concrete

                                           s=standard deviation(IS 10262:2009,table-1)

  • Volume of cement : (mass of cement / specific gravity of cement) X 1/1000
  • Volume of water : (mass of water / specific gravity of water) X 1/1000
  • Volume of chemical admixtures : (mass of chemical admixture / specific gravity of chemical admixture) X 1/1000
  • Volume of fly ash : (mass of fly ash / specific gravity of fly ash) X 1/1000
  • Volume of concrete : 1 cu m
  • Volume of aggregates : (volume concrete -(volume of cement + volume of fly ash + volume of water + volume of admixture)
  • Mass of coarse aggregates: volume aggregate X volume of coarse aggregate X specific gravity of coarse aggregate X 1000
  • Mass of fine aggregate: volume of aggregate X volume of fine aggregate X specific gravity of fine aggregate X1000

CODES FOR CONCRETE MIX DESIGN:

  • IS 10262: 2009
  • IS 456: 2000
  • IS 8112
  • IS 9103
  • IS 3812(PART 1)

OBJECTIVES:

  • The main objective is to produce concrete as economically as possible
  • To achieve desired workability, durability, and minimum strength of M35 grade concrete

PROCEDURE AND CALCULATION: 

1 TARGET MEAN STRENGTH 

F'CK=fck + 1.65 s

   fck=35N/MM SQ(M35)

TABLE 1- IS 10262 : 2009

THIS TABLE REQUIRED TO, s=5N/mm sq 

f'ck=35+(1.65 X 5)

     =43.25N/mm sq 

2SELECTION OF WATER-CEMENT RATIO : 

GIVEN: M35

ASSUME : 

Exposure condition : Extreme( for reinforced concrete)

Table 5- IS 456 : 2000 

therefore,

   Extreme=w/c ratio=0.40

   M35 = w/c ratio = 0.45

 Lower the water cement ratio better the workability

 0.40<0.45

Water cement ratio = 0.40

Minimum cement content = 360kg / cu m

3.SELECTION OF WATER CONTENT

        Assume : 

        Nominal size of aggregates = 20 mm

Table 2 - IS 10262 : 2009

Minimum water content = 186 litres or kg

Slump ranges from 25 to 50 mm

As superplasticizers (20% reduced)

=186 X 80/100 = 148.8 (100-20=80)

Water content =149 litres 

4.CALCULATION OF CEMETITIOUS CONTENT(CEMENT + FLY ASH)

Water cement ratio = w/c=0.40

Water content = W=149 kg

Cementitious content = C = 149/0.40=372.5 = 373 kg/ cu m

Minimum cement content = 360 kg/ cu m

360<373 kg/ cu m ( hency ok)

Increse by 10%

370 X 0.10 + 370 = 407 KG/ CU M

      W = 149 kg

Water cement ratio = 149/407 = 0.366

Fly ash at 30% total cementitious material content = 407 X 30/100 = 122 kg/cu m

Cement (ordinary portland cement) = 407-122 = 285 kg/cu m

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

Fly ash =122 kg/ cu m.

5. VOLUME OF COARSE AGGREGATES AND FINE AGGREGATES

Fine aggregates are sieved according to zone 1 of table  4 IS 383

Coarse aggregates are sieved according to table 2 IS 383

According,

Table 3 IS 10262: 2009

Nominal size of aggregates = 20 mm

Fine Aggregates (zone 1)

 Therefore,

     Volume of coarse aggregate = 0.60

     Water cement ratio =0.40

(+/-0.01 for every =/- 0.005).

So, the volume of coarse aggregate = 0.62

Volume of fine aggregate = 1-0.62 = 0.38

6. MIX CALCULATION :

  1. Volume of concrete = 1 cu m
  2. Volume of cement = (285/3.15) X 1/1000
  3. Volume of fly ash = (122/2.2) X 1/1000 = 0.055 CU M
  4. Volume of water = (149/1) x 1/1000=0.146 cu m
  5. Volume of addmixture = (7.6/1.145) x 1/1000=0.006 cu m
  6. Volume of coarse aggregate and fine aggregate = a-(b+c+d+e)=1-(0.090+0.055+0.149+0.006)=0.7 cu m
  7. Mass of coarse aggregate = 0.7 X 0.62 X 2.74 x 1000 =1189.16kg /cu m
  8.  Mass of fine aggregate =0.7 X 0.38 X2.74 X1000 =728 KG/CU M 

RESULTS AND CONCLUSION :

TRIAL MIX :

Cement = 285 kg/cu m

Fly ash 122 kg/ cu m

Water =149 kg

Coarse aggregate =1189 kg/cu m

Fine Aggregate =728 kg / cu m

Chemical admixture = 7.6 kg / cu m

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, and minimum strength of M35 grade concrete.
  • If it does not satisfy the above criteria two or more trials for an increase of 10% should be done.

AIM:

TO CALCULATE M50 GRADE WITHOUT FLY ASH

EQUATIONS:

  • Target mean strength :f'ck =fck+1.65 s

                                       f'ck =target mean strength

                                       fck= compressive strength at 28 days of concrete  

                                          s = Standard deviation(IS10262 : 2009,TABLE-1)

  • Volume of cement : (mass of cement / specific gravity of cement) x 1/1000
  • Volume of water : (mass of water / specific gravity of water) x 1/1000
  • Volume of chemical admixtures : ( mass of chemical admixture / specific gravity of chemical admixture) x 1/1000
  • Volume of cement : 1 cu m
  • Volume of aggregates : (volume of concrete -( volume of cement + volume of water + volume of chemical admixture)
  • Mass of coarse aggregates: volume of aggregate X volume of coarse aggregate X Specific gravity of coarse aggregate X 1000
  • Mass of fine aggregate: volume of aggregate X volume of fine aggregate X specific gravity of fine aggregate X 1000   

CODES FOR CONCRETE MIX DESIGN:

  • IS 10262:2009
  • IS 456:2000
  • IS 8112
  • IS 9103
  • IS 3812( PART 1)

OBJECTIVES:

  • The main objective is to produce concrete as economically as possible
  • To achieve desired workability, durability, and minimum strength of M50 GRADE concrete

PROCEDURE AND CALCULATION:

1. TARGET MEAN STRENGTH

           F'ck =  fck+1.65 s

            fck =50N/mm sq (M50)

Table 1-IS 10262:2009

    s=5 n/mm sq

    f'ck=50+(1.65X5)

          =58.25 N/MM SQ

2. SELECTION OF WATER CEMENT RATIO:

   Given:

   M50

   Assume:

   Exposure condition : Extreme ( for reinforced concrete)

   Table 5-IS 456:2000

   Therefore,

   Extreme =w/c ratio =0.40

   M50 =w/c ratio=0.40

   Lower the water cement ratio better the workability

                      0.40

   Water cement ratio = 0.40

Minimum cement content = 360kg / cu m

3. selection of water content

   Assume:

      Nominal size of aggregates = 20 mm

  Table 2 - IS 10262 : 2009

     Minimum water content = 186 litres or kg

     slump ranges from 25 to 50 mm

      As superplasticizers (20% reduced)

     = 186 x 80/100 148.8 (100-20=80)

water content = 149 litres

4.CALCULATION OF CEMENT CONTENT

Water cement ratio =w/c 0.40

Water content =w =149 kg

Cement content =C= 149/0.40 = 372.5=373 kg / cu m

Minimum cement content = 360 kg / cu m.

360<373 kg / cu m( HENCE OKAY)

5. VOLUME OF COARSE AGGREGATES AND FINE AGGREGATES

fine aggregates are sieved according to zone 1 of table 4 IS 383

Coarse aggregate is sieved according to table 2 IS 383

According,

Table 3 IS 10262: 2009

Nominal size of aggregates = 20 mm

Fine aggregates(zone1)

Therefore,

Volume of coarse aggregate = 0.60

Water cement ratio = 0.40

(+/-0.01 for every +/- 0.005)

So, the volume of coarse aggregate = 0.62

Volume of fine aggregate = 1-0.62=0.38

6.  MIX CALCULATION :

  1. Volume of concrete =1 cu m
  2. Volume of cement = (373/3.15) X 1/1000=0.118 CU M
  3. Volume of water = (149/1) X 1/1000=0.149 CU M
  4. Volume of admixture = (7.6/1.145) x 1/1000 = 0.006
  5. Volume of coarse aggregate and fine aggregate =a-(b+c+d) = 1-(0.118+0.49+0.006)=0.727 cu m
  6. Mass of coarse aggregate =0.727 x 0.62 X 2.74 X 1000 = 1235.02 KG/CU M
  7. Mass of fine aggregate =0.727 X 0.38 X 2.74 X 1000 =756.9 KG / CU M   

RESULTS AND CONCLUSION : 

 TRIAL MIX :

Cement =373 kg / cu m

Water = 149 kg

Coarse aggregate = 1235.02 kg / cu m

Fine aggregate = 756.9 kg / cu m

Chemical admixture = 7.6 kg / cu m

Water cement ratio =0.40

Trial mix ratio : 373:756.9:1235.02,  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 or more trials for an increase of 10% should be done. 
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