Grade = M 30
F.A. = grade zone II
C.A. = 20 mm.
Sp. Gr. Of cement = 3.14
Sp. Gr. Of sand = 2.63
Sp. Gr. Of C.A.= 2.61
Expose condition – mild;
Degree of quality control – very good;
Workability = 0.08 = 80mm;
Use code IS: 10262 – 2009 and IS: 456 – 2000;
From IS: 10262 – 2009:- f’ck = fck + 1.65 S
= 30 + 1.65 x 5 = 38.25 N/mm2
S = 5 [ from table 1 of IS: 10262 – 2009].
Selection of W/C ratio:- from table 5 of IS: 456 – 2000 maximum W/C ratio = 0.45
For trial 1 adopt W/C ratio as 0.40;
0.4 < 0.45; hence ok.
Selection of water content:- from table 2 maximum water content for 20 mm aggregate = 186 lit. [ for25 to 50 mm slump range.
Here 80 mm slump;
As per 4.2 of code the required water content may be increased by 3% for every additional 25 mm slump. = 186 + (3/100) x 186 = 192 lit.
Calculation of cement content :- W/C = 0.4
Cement content = 192 / 0.4 = 480 kg/m3.
From table 5 of IS 456, minimum cement content for mild exposure condition = 300 kg/m3.
480 kg/m3 > 300 kg/m3.
Proportion of volume of C.A. and F.A. content:- from table 3 volume of coarse aggregate corresponding to 20 mm size agg. And F.A. (zone II) for W/C ratio of 0.5 = 0.62.
In the present case W/C ratio is 0.4. as the w/c ratio is lowered by 0.1, the prop. Of volume of coarse agg. Is increased by 0.02, .i.e. ( -/+ 0.01 for every +/- 0.05 change in w/c ratio).
Proportion of C.A. for w/c ratio of 0.4 = 0.62+0.02 = 0.64
For pumpable concrete this values are reduced by 10%.
Volume of C.A. = 0.64 x 0.9 = 0.58
Volume of F.A. = 1-0.58 = 0.42
Mix calculation:-
- Volume of concrete = 1 m3
-
Volume of cement = (mass of cement/sp.gr. of cement) x(1/1000)
= 0.153 m3
-
Volume of water = (mass of water/sp. Gr. Of water)x (1/1000)
= 0.192 m3
- Volume of all in aggregate = 1-(0.153+0.192) = 0.66 m3
- Mass of C.A. = 0.66 x 2.61 x 0.58 x 1000 = 999.11 kg.
- Mass of F.A. = 0.66 x 2.63 x 0.42 x 1000 = 729 kg.
Mix proportion:- cement = 480 kg/m3.
water = 192 lit.
F.A= 729 kg/m3.
C.A=999.11 kg /m3.
w/c ratio = 0.4
proportion:- 1 : 0.4 : 1.52 : 2.08
two more trials with w/c ratio 0.35 and 0.45 are done.