Challenge

Project on Concrete Mix Design for various grades of Concrete

MIX DESIGN PROJECT 1

AIM:

To calculate the mix design for M35 concrete with flyash.

ASSUMPTIONS:

Grade of concrete – M35

Type of cement – OPC

Type of admixtures – Flyash

Maximum nominal size of aggregate – 20mm

Specific gravity of cement = 3.15

Minimum cement content =320 kg/m3(table 5 of IS456-2000/ exposure condition)

Maximum water cement ratio = 0.45 (table 5 of IS456-2000/ exposure condition)

Workability = 100mm ( slump value for pumpable concrete)

Exposure condition = severe (for reinforced concrete)

Method of placing concrete – pumping

Degree of supervision = good

Type of aggregate = crushed angular aggregate

Maximum cement content= 450kg/m3

Chemical admixture type = super plasticizer

Water absorption of coarse aggregate = 0.5%

Water absorption of fine aggregate = 1.0%

Specific gravity of coarse aggregate = 2.74

Specific gravity of fine aggregate = 2.74

STEP 1: CALCULATION OF TARGET MEAN STRENGTH

Target mean strength f’ck=fck+1.65s

Where f’ck = target mean strength

fck = characteristic compressive strength

s = standard deviation

from table 1 IS 10262 : 2009

s = 5 N/mm2

f’ck = 35 +(1.65X5)

= 43.25 N/mm2

Step 2: SELECTION OF WATER CEMENT RATIO

Given

M35

Assume,

Exposure condition = Extreme (for reinforced concrete)

From table 5 IS456:2000

HENCE

Extreme w/c ratio = 0.4

M35 w/c ratio = 0.45

lower water cement ratio= better workability

0.40<0.45

Therefore water cement ration is taken as 0.40

Minimum cement content = 360 kg/m3

STEP 3: SELECTION OF WATER CONTENT

Assume

Nominal size of aggregate = 20mm

Table 2- IS10262: 2009

Minimum water content = 186 lit

Slump range from 25 to 50mm

As superplasticizers (20% reduced)= 186X80/100 =148.8

Water content = 149 lit

STEP 4: CALCULATION OF CEMENTITIOUS CONTENT (CEMENT + FLYASH)

Water cement ratio =w/c= 0.40

Water content = W= 149kg

Cementitious content = c= 149/0.40=372.5=370 kg/m3

Minimum cement content = 360 kg/m3

360<370 kg/m3

Increased by 10%

370X0.10 + 370= 407kg/m3

W=149kg

Water cement ratio = 149/407 =0.366

Flyash at 30% total cementitious material content= 407X30/100

= 122kg/m3

Cement (ordinary Portland cement )= 407-122= 285kg/m3

Saving of cement while using fly ash = 370-285 = 85kg/m3

Fly ash = 122kg/m3

STEP 5: VOLUMEOF COARSE AGGREGATES AND FINE AGGREGATES

Fine aggregates are sieved according to zone 1 of table 2 IS 383

Coarse aggregate are sieved according to table 2 IS 383

According ,

Table 3 IS10262:2009

Nominal size of aggregate = 20mm

Fine aggregate (zone 1)

Therefore,

Volume of coarse aggregate = 0.60

Water cement ratio = 0.4

So, volume of coarse aggregate = 0.62

Volume of fine aggregate= 1-0.62=0.38

STEP 6: MIX CALCULATIONS

  1. Volume of concrete =1m3
  2. Volume of cement=(285/3.15)x1/1000 = 0.090m3
  3. Volume of flyash =(122/2.2)x1/1000=0.55m3
  4. Volume of water=(149/1)x1/1000= 0.149m3
  5. Volume of admixtures=(7.6/1.145)x1/1000=0.006m3
  6. Volume coarse aggregate and fine aggregate= a-(b+c+d+e)=1-(0.090+0.055+0.149+0.006) =0.7m3
  7. Mass of coarse aggregate=0.7x0.62x2.74x1000=1189.16kg/m3
  8. Mass of fine aggregate= 0.7x0.38x2.74x1000=728 kg/m3

RESULTS :

Cement = 285kg/m3

Flyash = 122kg/m3

Water = 149kg

Coarse aggregate = 1189kg/m3

Fine aggregate =728kg/m3

Chemical admixture = 7.6 kg/m3

Water cement ratio = 0.366

Trial mix ratio= 285:728:1189 = 1:2.55:4.17

The above trial mix should match the required workability, durability, minimum strength of M35 grade concrete.

If the requirement is satisfied then two or more trials are done for 10% increase.

MIX DESIGN FOR M50 GRADE CONCRETE WITHOUT FLYASH

AIM:

To calculate the mix design for M50 concrete with0UT flyash.

ASSUMPTIONS:

Grade of concrete – M50

Type of cement – OPC53 grade confirming to BIS 12269-1987

Maximum nominal size of aggregate – 20mm

Specific gravity of cement = 3.15

Minimum cement content =320 kg/m3(table 5 of IS456-2000/ exposure condition)

Maximum water cement ratio = 0.45 (table 5 of IS456-2000/ exposure condition)

Workability = 100mm ( slump value for pumpable concrete)

Exposure condition = severe (for reinforced concrete)

Method of placing concrete – pumping

Degree of supervision = good

Type of aggregate = crushed angular aggregate

Maximum cement content= 450kg/m3

Chemical admixture type = super plasticizer

Water absorption of coarse aggregate = 0.5%

Water absorption of fine aggregate = 1.0%

Specific gravity of coarse aggregate = 2.74

Specific gravity of fine aggregate = 2.64

STEP 1: CALCULATION OF TARGET MEAN STRENGTH

Target mean strength f’ck=fck+1.65s

Where f’ck = target mean strength

fck = characteristic compressive strength

s = standard deviation

from table 1 IS 10262 : 2009

s = 5 N/mm2

f’ck = 50 +(1.65X5)

= 58.25 N/mm2

Step 2: SELECTION OF WATER CEMENT RATIO

Given

M50

Assume,

Exposure condition = severe exposure

From table 5 IS456:2000

HENCE

Severe exposure w/c ratio = 0.44

M50 w/c ratio = 0.45

lower water cement ratio= better workability

0.44<0.45

Therefore water cement ration is taken as 0.44

STEP 3: SELECTION OF WATER CONTENT

Assume

Nominal size of aggregate = 20mm

Table 2- IS10262: 2009

Minimum water content = 186 lit

Clause 4.2 suggests increasing of 3% of water content for every extra Slump range from 25 to 50mm. so a 6% is to be added to it =186+(6/100)x186 = 197 lit.

As superplasticizers (20% reduced)= 197X80/100 =158 lit

Water content = 158 lit

STEP 4: CALCULATION OF CEMENT

Water cement ratio =w/c= 0.44

Water content = W= 158kg

Cement content = c= 158/0.44=359 kg/m3

From table 5 of IS456, minimum cement content for severe exposure conditions=320kg/m3

359kg/m3> 320kg/m3

Hence ok

Cement content= 359kg/m3

STEP 4 : VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE

From table 3 of IS 10262:2009 volume of coarse aggregate corresponding to 20mm size aggregate and fine aggregate (zone II) for 0.62 water -cement ratio of 0.50 is

Water-cement ratio obtained =0.44

Therefore volume of coarse aggregate is required to be increased to decrease the fine aggregate content.

As the water-cement ratio is lower by 0.06.

The proportion of volume of coarse aggregate is increased by 0.02(at the rate of +/- 0.01 for every +-0.05 change in water- cement ratio).

Therefore the volume of coarse aggregate for the water-cement ratio 0.44 = 0.632

For pumpable concrete these values should be deduced up to 10% =0.632x 0.9=0.568

Volume of coarse aggregate =0.568

Volume of fine aggregate =1-0.568=0.432

STEP 5 MIX CALCULATIONS

The mix calculations per unit volume of concrete shall be as follows:

  1. Volume of concrete 1m3
  2. Volume of cement = (mass of cement)/(specific gravity of cement)x(1/1000)

=(359/3.15)x(1/1000)

=0.114m3

  1. Volume of water = (mass of water/specific gravity of water)x(1/1000)

=(158/1)x(1/1000)

=0.158m3

  1. Volume of chemical admixtures = (mass of admixtures/specific gravity of admixture)x(1/1000)

=(7.6/1.145)x (1/1000)

=0.006m3

  1. Volume of aggregate = a-(b+c+d)= 1-(0.114+0.158+0.006)

= 0.722m3

  1. Mass of coarse aggregate = e x volume of coarse aggregate specific gravity of fine aggregatex1000 = 0.722 x 0.568 x 2.74 x 1000 = 1123kg/m3
  2. Mass of fine aggregate = e x volume of fine aggregate x specific gravity x 1000

= 0.722 x 0.432 x 2.64 x 1000 = 821 kg/m3

STEP 6 MIX PROPORTIONS

Cement 359kg/m3

Water 158 lit

Fine aggregate 821 kg/m3

Coarse aggregate 1123kg/m3

Chemical admixture 7.18 kg/m3

Water – cement ratio 0.44

Mix proportion by weight 1 : 2.28 :3.12

The slump shall be measured and the water content and amount of admixtures are adjusted for achieving the required slump on trial. Two or more trials shall be carried out for actual water content so that the mix reaches the durability requirements.

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