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AIM : To find the mix proportion of M35 grade Concrete with Fly ash and M50 grade Concrete without Fly ash using Mix Design. Introduction to Mix Design: Concrete mix design is the process of finding right proportions of cement, sand and aggregates for concrete to achieve decided target strength…
Gaurav Pant
updated on 03 May 2021
AIM : To find the mix proportion of M35 grade Concrete with Fly ash and M50 grade Concrete without Fly ash using Mix Design.
Introduction to Mix Design:
Concrete mix design is the process of finding right proportions of cement, sand and aggregates for concrete to achieve decided target strength in structures. This process is usually adopted for structures which requires higher grades of concrete such as M25 and above and used in large construction projects where quantity of concrete consumption is huge. Concrete mix design provides the right proportions of materials, thus making the concrete construction economical in achieving required strength of structural members.
Properties of Mix Design of concrete :-
Mix Design for M35 Grade Concrete with Fly Ash
Aim : To find the mix proportion of M35 grade Concrete with Fly ash
Procedure :
Step 1 : STIPULATIONS FOR PROPORTIONING :
Step 2 : TEST DATA FOR MATERIALS :
a. Cement used : OPC 43 Grade conforming IS 8112
b. Specific gravity of cement : 3.15
c. Fly ash : Conforming to IS 3812 (Part 1)
d. Specific gravity of Fly ash : 2.2
e. Chemical admixture : Superplasticizer conforming to IS 9103
f. Specific gravity of :-
g. Water absorption :-
h. Free surface moisture:
e. Sieve analysis:
Step 3 : TARGET STRENGTH FOR MIX PROPORTIONING :
where,
here, fck = 35 N/mm2
From Table 8 of IS 10262:2009, Standard Deviation, S = 5 N/mm2.
Therefore, target strength = 35 + 1.65 x 5 = 43.25 N/mm2
Step 4 : SELECTION OF WATER/CEMENT RATIO :
Step 5 : SELECTION OF WATER CONTENT :
= 197 litre.
Hence, the arrived water content = 197-[197 x (25/100)] = 148 litre.
Step 6 : CALCULATION OF CEMENT AND FLY ASH CONTENT :
Thus, 370 kg/m3 > 320 kg/m3, Hence OK.
Now, to proportion a mix containing fly ash the following steps are suggested:
a) The percentage fly ash needs to be decided based on project requirement and quality of materials.
b) In certain situations, increase in cernentitious material content may be warranted. Increase in cementitious material content and its percentage may be based on experience and trial (This example is with increase of 10% cementitious material content.)
Cementitious material content | = 370 * 1.10 = 407 kg/m3 |
Water Content | = 148 kg/m3 |
So, water-cement ratio | = 148/407 = 0.363 |
Fly ash @ 30% of total cementitious material content | = 407 * (30/100) = 122 kg/m3 |
Cement (OPC) | = 407 - 122 = 285 kg/m3 |
Saving of cement while using fly ash | = 370 - 285 = 85 kg/m3, and |
Fly ash being utilized | = 122 kg/m3 |
Step 7 : PROPORTIO0N OF VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE CONTENT :
From Table 3 of IS 10262:2009, Volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone I) for water-cement ratio (0.5) = 0.6
Therefore, corrected volume of coarse aggregate for the water-cement ratio of 0.4 = 0.62
Now, For Pumpable Concrete, these values should be reduced by upto 10%.
Step 8 : MIX CALCULATIONS :
The mix calculations per unit volume of concrete shall be as follows:
a) Volume of concrete = 1 m3
b) Volume of cement = (Mass of cement) / {(Specific Gravity of Cement) * 1000}
= 285/{3.15 * 1000}
= 0.09 m3
c) Volume of Fly ash = (Mass of Fly ash) / {(Specific Gravity of Fly ash) * 1000}
= 122/{2.2 * 1000}
= 0.055m3
d) Volume of water = (Mass of water) / {(Specific Gravity of water) * 1000}
= 148/{1 * 1000}
= 0.148 m3
e) Volume of chemical admixture = (Mass of admixture) / {(Specific Gravity of admixture) * 1000}
(@ 2.0% by mass of cementitious material) = 7.4/{1.145 * 1000}
= 0.006 m3
f) Volume of all in aggregate = [a-(b+c+d+e)]
= [1-(0.09+0.055+0.148+0.006)]
= 0.701 m3
g) Mass of coarse aggregate = f * Volume of Coarse Aggregate * Specific Gravity of Coarse Aggregate * 1000
= 0.701 * 0.56 * 2.74 * 1000
= 1076 kg/m3
h) Mass of fine aggregate = f * Volume of Fine Aggregate * Specific Gravity of Fine Aggregate * 1000
= 0.701 * 0.44 * 2.74 * 1000
= 845 kg/m3
Step 9 : MIX PROPORTIONS :
Cement | = 285 kg/m3 |
Fly ash | = 122 kg/m3 |
Water | = 148 litre / kg/m3 |
Fine Aggregate | = 845 kg/m3 |
Coarse Aggregate | = 1076 kg/m3 |
Chemical Admixture | = 7.4 kg/m3 |
Water-Cement Ratio | = 0.4 |
MIX RATIO | = 1 : 2.07 : 2.64 |
Step 10 : The slump shall be measured and the water content and dosage of admixture shall be adjusted for achieving
the required slump based on trial. The mix proportions shall he reworked for the actual water content and checked for durability requirements.
Step 11 : Two more trials having variation of 10% of water-cement ratio in Clause X shall be carried out and a
graph between three water-cement ratios and their corresponding strengths shall be plotted to work out the mix
proportions for the given target strength for field trials. However, durability requirement shall be met.
RESULT : The mix proportion of concrete ingredients for grade M35 concrete with Fly ash used as some part of cementetious material along with cement is 1 : 2.07 : 2.64
Mix Design for M50 Grade Concrete
Aim : To find the mix proportion of M50 grade Concrete without Fly ash
Procedure :
Step 1 : STIPULATIONS FOR PROPORTIONING :
Step 2 : TEST DATA FOR MATERIALS :
a. Cement used : OPC 43 Grade conforming IS 8112
b. Specific gravity of cement : 3.15
c. Chemical admixture : Superplasticizer conforming to IS 9103
d. Specific gravity of :-
e. Water absorption:-
f. Free surface moisture:-
g. Sieve analysis:-
Step 3 : TARGET STRENGTH FOR MIX PROPORTIONING :
where,
here, fck = 50 N/mm2
From Table 8 of IS 10262:2009, Standard Deviation, S = 5 N/mm2.
Therefore, target strength = 50 + 1.65 x 5 = 58.25 N/mm2
Step 4 : SELECTION OF WATER/CEMENT RATIO :
Step 5 : SELECTION OF WATER CONTENT :
= 197 litre
Hence, the arrived water content = 197-[197 x (29/100)] = 140 litre
Step 6 : CALCULATION OF CEMENT CONTENT :
Thus, 350 kg/m3 > 320 kg/m3, Hence OK.
Step 7 : PROPORTIO0N OF VOLUME OF COARSE AGGREGATE AND FINE AGGREGATE CONTENT :
From Table 3 of IS 10262:2009, Volume of coarse aggregate corresponding to 20 mm size aggregate and fine aggregate (Zone I) for water-cement ratio (0.5) = 0.6
Therefore, corrected volume of coarse aggregate for the water-cement ratio of 0.4 = 0.62
Now, For Pumpable Concrete, these values should be reduced by 10%.
Step 8 : MIX CALCULATIONS :
The mix calculations per unit volume of concrete shall be as follows:
a) Volume of concrete = 1 m3
b) Volume of cement = (Mass of cement) / {(Specific Gravity of Cement) * 1000}
= 350/{3.15 * 1000}
= 0.111m3
c) Volume of water = (Mass of water) / {(Specific Gravity of water) * 1000}
= 140/{1 * 1000}
= 0.140 m3
d) Volume of chemical admixture = (Mass of admixture) / {(Specific Gravity of admixture) * 1000}
(@ 2.0% by mass of cementitious material) = 7/{1.145 * 1000}
= 0.006 m3
e) Volume of all in aggregate = [a-(b+c+d)]
= [1-(0.111 + 0.14 + 0.006)]
= 0.743 m3
f) Mass of coarse aggregate = e * Volume of Coarse Aggregate * Specific Gravity of Coarse Aggregate * 1000
= 0.743 * 0.56 * 2.74 * 1000
= 1140 kg/m3
g) Mass of fine aggregate = e * Volume of Fine Aggregate * Specific Gravity of Fine Aggregate * 1000
= 0.743 * 0.44 * 2.74 * 1000
= 896 kg/m3
Step 9 : MIX PROPORTIONS :
Cement | = 350 kg/m3 |
Water | = 140 litre / kg/m3 |
Fine Aggregate | = 896 kg/m3 |
Coarse Aggregate | = 1140 kg/m3 |
Chemical Admixture | = 7 kg/m3 |
Water-Cement Ratio | = 0.4 |
MIX RATIO | = 1 : 2.56 : 3.26 |
Step 10 : The slump shall be measured and the water content and dosage of admixture shall be adjusted for achieving
the required slump based on trial. The mix proportions shall he reworked for the actual water content and checked for durability requirements.
Step 11 : Two more trials having variation of 10% of water-cement ratio in Clause X shall be carried out and a
graph between three water-cement ratios and their corresponding strengths shall be plotted to work out the mix
proportions for the given target strength for field trials. However, durability requirement shall be met.
RESULT : The mix proportion of concrete ingredients for grade M35 concrete without Fly ash is 1 : 2.56 : 3.26
Table used :-
1) Table 8 of IS 10262 : 2009 :-
2) Table 5 of IS 456 : 2000 :-
3) Table 2 of IS 10262 : 2009 :-
4) Table 3 of IS 10262 : 2009 :-
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