Project on Concrete Mix Design for various grades of Concrete
M35 Mix design using Flyash:
Aim:
Our aim is to calculate the mix design for M35 grade of concrete using flyash.
Introduction:
- Mix design are calculated to find the strength of the concretes with the help of ingredients like cement, water,fine and coarse aggregates.
- Flyash can also be used as a external material with additional cement to find compressive strength.
- water and cement content can be calculated with the help of codes IS 10262-2019.
- water plays a important role in the mixdesign.
- M35 grade concrete is a high strength concrete where high concretes are used in dams,bridges etc,.
Procedure:
- Target mean strength:
F'ck=fck+1.65S
here fck=compressive strength of concrete of after 28 days
S=standard deviation (can be taken from table-1 of code IS 10262-2019)
for M35 grade, value of S is 5N/mm2.
F'ck=35+1.65x5
=43.25 N/mm2
ii) Calculation of water cement ratio:
We can calculate w/c ratio from table-5 of IS 456-2000
here we are assuming the climate condition as severe.
from the table, the max water/cement ratio m35 grade of reinforced concrete is 0.45.
from the graph of IS 10262-2019,we are taking w/c ratio as 0.38.
iii) Calculation of Water content:
Here we are assuming size of coarse aggregates 20mm and grading of fine aggregates from zone-1 and slump of 100mm(assume).
From table-2 of IS 10262-2019 the max water content for the 20mm grade of aggregates is 186kgs and for every 25mm of increase of slump add 3%.
=186+(186x0.06)
=197.16kgs approx 197 kgs.
if plasticizers are used in mix design then w/c ratio can be reduce upto 20%.
hence water content=197x0.8
= 157.6 approx of 158litres.
iv) Calculation of Cement content:
w/c ratio=0.42
cement content=158/0.38
= 415.78 approx 416 kgs/cu.m.
From the code IS 456-2000 min cement content is 320kg/cu.m
416 kg/m3 > 320 kg/m3.
here fly ash is using so 10-15% increase in the cementious materials.
- cementious material content=416x1.15=478.4 approx 478 kgs/cu.m
- water content=158litres
- w/c ratio=158/478 = 0.33
- fly ash @ 30% to cementious material=0.3x478=143.4 approx 143 kgs/cu.m.
- cement=478-143=335 kgs/cu.m
- saving of cement from fly ash=416-335=81 kgs/m3.
- flyash=143 kg/cu.m
v) Proportions of Volume of Coarse and Fine aggregates:
from the table-3 of IS 10262-2019
coarse aggregates-20mm
fine aggregates- zone-1
for water cement ratio of 0.5=0.6
but in our case w/c is 0.33
therefore volume of coarse aggregates needs to increase to decrease fine aggregates,for every plus or minus 0.05 change in w/c ration then add 0.01.
= (0.5-0.33)x0.01/0.05 + 0.6
=0.634
Assume pumpable concrete then these values are reduced by 10%
volume of coarse aggregates=0.634x0.9
=0.57
volume of fine aggregates=1-volume of coarse aggregates
=1-0.57
=0.43
vi) Mix calculations:
1)volume of concrete= 1 cu.m
2)volume of cement= mass of cement/sp.gravity of cement * 1/1000
= 335/3.15 * 1/1000
= 0.106 cu.m
3)volume of flyash= mass of flyash/sp.gravity of flyash * 1/1000
= 143/2.2 * 1/1000
= 0.065 cu.m.
4)volume of water= 158/1000
=0.158 cu.m.
5)volume of admixture = 7.6/1.146 * 1/1000
= 0.006 cu.m.
6) volume of aggregates= 1-(2+3+4+5)
= 1-(0.106+0.065+0.158+0.006)
= 1-0.335
=0.665 cu.m.
7) mass of coarse aggregates= volume of aggregates xvolume of coarse x sp.gravity of coarse aggregate x 1000
= 0.665 x 0.57 x 2.74 x 1000
= 1038.59 kg/cu.m
= approx 1039 kg/cu.m.
8) mass of fine aggregates= volume of aggregates x volume of fine aggregates x sp.gravity of fine aggregates x 1000
= 0.665 x 0.43 x 2.74 x 1000
= 783.5 kg/cu.m
= approx 784 kg/cu.m
Mix Proportions:
cement= 335 kgs
flyash= 143 kg/cu.m
water= 158 kg/cu.m
fine aggregate= 784 kg/cu.m
coarse aggregates= 1039 kg/cu.m
water/cement= 0.33
here i have assumed some data.
2)M50 Mix design:
Aim:
Our aim is to calculate the mix design for M50 grade of concrete.
Introduction:
- Mix design are calculated to find the strength of the concretes with the help of ingredients like cement, water,fine and coarse aggregates.
- water and cement content can be calculated with the help of codes IS 10262-2019.
- water plays a important role in the mixdesign.
- M50 grade concrete is a high strength concrete where high concretes are used in dams,bridges etc,.
Procedure:
Target mean strength:
F'ck=fck+1.65S
here fck=compressive strength of concrete after 28 days
S=standard deviation (can be taken from table-1 of code IS 10262-2019)
for M50 grade, value of S is 5 N/mm2.
F'ck=50+1.65x5
=58.25 N/mm2.
ii) Calculation of water cement ratio:
We can calculate w/c ratio from table-5 of IS 456-2000
here we are assuming the climate condition as extreme.
from the table, the max water/cement ratio for reinforced concrete for extreme is 0.40.
from the graph of IS 10262-2019,we are taking w/c ratio as 0.33.
iii) Calculation of Water content:
Here we are assuming size of coarse aggregates 20mm and grading of fine aggregates from zone-2 and slump of 75mm(assume).
From table-2 of IS 10262-2019 the max water content for the 20mm grade of aggregates is 186kgs and for every 25mm of increase of slump add 3%.
=186+(186x0.03)
=191.58 kgs approx 192 kgs.
if plasticizers are used in mix design then w/c ratio can be reduce upto 20%.
hence water content=192x0.8
= 153.6 approx of 154 litres.
iv) Calculation of Cement content:
from the graph- w/c is 0.33
cement content=154/0.33
=466.66 kg/cu.m approx 467 kg/cu.m
v) Calculation of Volume of Coarse and Fine aggregates:
from table-5 10262-2019
from the table-3 of IS 10262-2019
coarse aggregates-20mm
fine aggregates- zone-2
for water cement ratio of 0.5=0.62
but in our case w/c is 0.33
therefore volume of coarse aggregates needs to increase to decrease fine aggregates,for every plus or minus 0.05 change in w/c ration then add 0.01.
= (0.5-0.33)x0.01/0.05 + 0.62
=0.654
Assume pumpable concrete,then these values are reduced by 10%
volume of coarse aggregates=0.654x0.9
=0.588 approx 0.59
volume of fine aggregates=1-volume of coarse aggregates
=1-0.59
=0.41
vi) Mix calculations:
1)volume of concrete= 1 cu.m
2)volume of cement= mass of cement/sp.gravity of cement * 1/1000
= 467/3.15 * 1/1000
= 0.148 cu.m.
3)volume of water= mass of water/sp.gravity of water * 1/1000
=154/1000
=0.154 cu.m.
4)volume of chemical admixture= 7/1.145 * 1/1000
= 0.006 cu.m
5)volume of aggregates= 1-(2+3+4)
= 1-(0.148+0.154+0.006)
= 1-0.362
= 0.638
6) mass of coarse aggregates= volume of aggregates x volume of coarse aggregates x sp.gravity of coarse aggregates x 1000
= 0.638 x 0.59 x 2.74 x 1000
= 1031.39 kg/cu.m
approx 1031 kg/cu.m.
7) mass of fine aggregates= volume of aggregates x volume of coarse aggregates x sp.gravity of coarse aggregates x 1000
= 0.638 x 0.41 x 2.74 x 1000
= 716.73 kg/cu.m
approx 717 kg/cu.m.
Mix Proportions:
cement= 467 kgs
water= 154 kg/cu.m
fine aggregate= 717 kg/cu.m
coarse aggregates= 1031 kg/cu.m
water/cement= 0.33
here i have assumed some data.