Challenge

Project on Concrete Mix Design for various grades of Concrete

MIX DESIGN : M35

AIM : To develop a mix design for M35 grade of concrete containing 20% of fly ash and 80% of cement

Step-1 STIPULATIONS FOR PROPORTIONING

  • Grade designations : M35
  • Type of cement : OPC 43 grade
  • Type of mineral admixture : Fly Ash
  • Maximum nominal size of aggregate : 20 mm
  • Minimum cement content : 320kg/m^3
  • Maximum water-cement ratio : 0.45
  • Workability : 100mm
  • Exposure condition  :  severe
  • Method of concrete placing : pumping
  • Degree ofsupervision  :  good
  • Type of aggregate :  crushed angular aggregate
  • Maximum cement (OPC) content : 450 kg/m^3
  • Chemical admixture type : superplasticizer

Step -2 TEST DATA FOR MATERIALS

  • Cement used : OPC 43 grade conforming to IS 8112
  • Specific gravity of cement. : 3.15
  • Fly ash : Conforming to IS 3812 (Part I)
  • Specific gravity of fly ash : 2.2
  • Chemical admixture  : Superplasticizer conforming to IS 9103
  • Specific gravity of:
  • Coarse aggregate : 2.74
  • Fine aggregate  : 2.74
  • Water absorption:  
  • Coarse aggregate :  0.5%
  • Fine aggregate : 1%
  • Free (surface) moisture:   
  • Coarse aggregate :  nil
  • Fine aggregate : nil
  • Sieve analysis:
  • Coarse aggregate : Conforming to IS 383 table 2
  • Fine aggregate : grading zone 1 Conforming to IS 383 table 4

 Step -3 TARGET STRENGTH FOR MIX PROPORTIONING

  • fck' = fck + 1.65 s

where,

  • fck'= target mean compressive strength at 28 days,
  • fck = characteristics compressive strength at 28 days
  • s = standard deviation.
  • Standard Deviation, s = 5 N/mm2. (From table 1 of IS 10262)
  • Therefore, target mean  strength = 35 + 1.65 x 5 = 43.25 N/mm^2

Step-4 SELECTION OF WATER·CEMENT RATIO

  • Maximum water-cement ratio = 0.45. ( From table 5 of IS 456)
  • Based on experience. adopt water-cement ratio as 0.40.
  • 0.40 < 0>

Step -5 SELECTION OF WATER CONTENT

  • Maximum water content for 20 mm aggregate = 186 litre (for 25 to 50 mm slump range, from table 2 of IS 10262)
  • Increase water content by 3% for 25mm increase in slump
  • Estimated water content for 100 mm slump= 186+ (6/100)×186= 197.16 litre
  • Reduce water content by 25% as superplasticizer is used
  • Water = 0.75×197.16 =147.87litre

Step -6 CALCULATION OF CEMENT AND FLY ASH CONTENT

  • W/C = 0.40
  • Cement content = W/0.4 = 147.87/0.4 =370kg 
  • Consider 20% of fly ash as part replacement of cement
  • As fly ash is being used increase the cementitious content by 10%
  • C= 370×1.1 = 407kg
  • Fly ash = 0.2 × 407 = 81.4kg
  • Cement = 407 -81.4 = 325.6kg

Step -7 PROPORTION OF VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE CONTENT

  • From Table 3. volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone I) for water-cement ratio of 0.50 =0.60.
  • Increase the volume of coarse aggregates by 0.02 for decrease in water cement ratio of 0.1 
  • Volume of coarse aggregate = 0.6+0.02 =0.62
  • For pumpable concrete decrease the Coarse aggregate content by 10%
  • Therefore Coarse aggregate volume = 0.62 ×0.9 =0.558
  • Volume of Fine aggregate = 1-0.558 =0.442

Step -8  MIX CALCULATIONS

  • Volume of concrete = 1m^3
  • Volume of cement = ( mass of cement/ Specific gravity of cernent) × (1/1000)

                                         = (325.6/3.15)  ×(1/1000) = 0.103m^3

  • Volume of fly ash= ( mass of fly ash/ Specific gravity of fly ash) × (1/1000)

                                          = (81.4/2.2)×(1/1000)= 0.037m^3

  • Volume of water= ( mass of water/ Specific gravity of water) × (1/1000)
  •                                           = (147.87/1)×(1/1000)= 0.148m^3

Volume of chemical admixture (2% of cementitious material) =  ( mass of admixture/ Specific gravity of admixture) × (1/1000)

                               = (8.14/1.145)×(1/1000)= 0.007m^3

  • Volume of all in aggregate = (1-(0.103+0.037+0.148+0.007) = 0.705m^3
  • Mass of coarse aggregate = Volume of all in aggregate x volume of coarse aggregate x Specific gravity of coarse aggregate × 1000

                                =0.705 × 0.558 ×2.74 × 1000 = 1077.8kg

  • Mass of Fine aggregate = Volume of all in aggregate x volume of fine aggregate x Specific gravity of fine aggregate × 1000

                                 = 0.705 × .442 × 2.74 × 1000 = 853.8kg

Step -9 MIX PROPORTION

  • Cement = 325.6kg
  • Fly ash = 81.4kg
  • Fine aggregate = 853.8kg
  • Coarse aggregate = 1077.8kg
  • Water = 147.87kg
  • Admixture = 8.14kg
  • Proportion = 1: 2.09 : 2.64

MIX DESIGN: M50

AIM : To develop a mix design for M50 grade of concrete.

 Step-1 STIPULATIONS FOR PROPORTIONING

Grade designations. : M50

Type of cement. : OPC 43 grade

Maximum nominal size of aggregate. : 20 mm

Minimum cement content. : 320kg/m^3

Maximum water-cement ratio. : 0.45

Workability. : 100mm

Exposure condition. : severe

Method of concrete placing. : pumping

Degree ofsupervision. : good

Type of aggregate. : crushed angular aggregate

Maximum cement (OPC) content. : 450 kg/m^3

Chemical admixture type. : superplasticizer

Step -2 TEST DATA FOR MATERIALS

Cement used. : OPC 43 grade conforming to IS 8112

Specific gravity of cement. : 3.15

Chemical admixture. : Superplasticizer conforming to IS 9103

Specific gravity of:

Coarse aggregate. : 2.74

Fine aggregate. : 2.74

Water absorption:  

Coarse aggregate. : 0.5%

Fine aggregate. : 1%

Free (surface) moisture:   

Coarse aggregate. : nil

Fine aggregate. : nil

Sieve analysis:

Coarse aggregate. : Conforming to IS 383 table 2

Fine aggregate. : grading zone 1 Conforming to IS 383 table 4

Step -3 TARGET STRENGTH FOR MIX PROPORTIONING

fck' = fck + 1.65 s

where,

 fck'= target mean compressive strength at 28 days,

fck = characteristics compressive strength at 28 days

s = standard deviation.

Standard Deviation, s = 5 N/mm2. (From table 1 of IS 10262)

Therefore, target mean strength = 50 + 1.65 x 5 = 58.25 N/mm^2

Step-4 SELECTION OF WATER·CEMENT RATIO

Maximum water-cement ratio = 0.45. ( From table 5 of IS 456)

Based on experience. adopt water-cement ratio as 0.35

0.35< 0> 0.45

Step -5 SELECTION OF WATER CONTENT

Maximum water content for 20 mm aggregate = 186 litre (for 25 to 50 mm slump range, from table 2 of IS 10262)

Increase water content by 3% for 25mm increase in slump

Estimated water content for 100 mm slump= 186+ (6/100)×186= 197.16 litre

Reduce water content by 25% as superplasticizer is used

Water = 0.75×197.16 =147.87litre

Step -6 CALCULATION OF CEMENT CONTENT

W/C =0.35

Cement content = W/0.35 = 147.87/0.35 =422.28kg 

Step -7 PROPORTION OF VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE CONTENT

From Table 3. volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone I) for water-cement ratio of 0.50 =0.60.

Increase the volume of coarse aggregates by 0.02 for decrease in water cement ratio of 0.1 , and for decrease in water cement ratio by 0.15, increase it by 0.03

Volume of coarse aggregate = 0.6+0.03 =0.63

For pumpable concrete decrease the Coarse aggregate content by 10%

Therefore Coarse aggregate volume = 0.63 ×0.9 =0.567

Volume of Fine aggregate = 1-0.567 =0.433

Step -8 MIX CALCULATIONS

Volume of concrete = 1m^3

Volume of cement = ( mass of cement/ Specific gravity of cernent) × (1/1000)

                                         = (422.28/3.15) ×(1/1000) = 0.134m^3

Volume of water= ( mass of water/ Specific gravity of water) × (1/1000)

                                          = (147.87/1)×(1/1000)= 0.148m^3

Volume of chemical admixture (2% of cementitious material) = ( mass of admixture/ Specific gravity of admixture) × (1/1000)

                               = (8.14/1.145)×(1/1000)= 0.007m^3

Volume of all in aggregate = (1-(0.134+0.148+0.007) = 0.711m^3

Mass of coarse aggregate = Volume of all in aggregate x volume of coarse aggregate x Specific gravity of coarse aggregate × 1000

                                =0.711 × 0.567 ×2.74 × 1000 = 1104.6kg

Mass of Fine aggregate = Volume of all in aggregate x volume of fine aggregate x Specific gravity of fine aggregate × 1000

                                 = 0.711× .433 × 2.74 × 1000 = 843.5kg

Step -9 MIX PROPORTION

Cement = 422.28kg

Fine aggregate = 843.5kg

Coarse aggregate = 1104.6kg

Water = 147.87kg

Admixture = 8.14kg

Proportion = 1: 2.0: 2.61

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