written 5.3 years ago by |
i) Ratio of fine to total aggregate = 0.315
ii) Water Content = $190 kg/m^3$
iii) Amount of entrapped air = 2$ \%$
iv) Specific gravity of cement = 3.15
v) Specific gravity of F.A = 2.68
vi) Specific gravity of C.A = 2.85
vii) Water Cement ratio = 0.50
Determine quantity of cement FA and CA per $m^3$ of concrete.
Aggregate content can be determined from following equation
$V = [W + \frac{C}{SC} + \frac{1}{P} \frac{Fa}{SFa} ] \frac{1}{1000}$
Determination of water content
Water / Cement ratio =0.5
Water = $190 kg/m^3$
Cement = $\frac{190}{0.50} = 380 kg/m^3$
V= Absolute volume of fresh concrete, which is equal to gross volume $(m^3)$ minus the volume of entrapped air
V =$1(m^3) -2 \%$
$\quad 1-0.2$
$\quad 0.98 m^3$
$V = [W + \frac{C}{SC} + \frac{1}{P} \frac{Fa}{SFa} ] \frac{1}{1000}$
$0.98 = [190 + \frac{380}{3.15} + \frac{1}{0.315} \frac{Fa}{2.08} ] \frac{1}{1000}$
Fa = $565 kg/m^3$
$Ca = \frac{1-P}{P} \times Fa \frac{S C a}{F C a}$
$Ca = \frac{1-0.315}{0.315} \times 565 \frac{2.85}{2068}$
$\quad 1306.58 kg/m^3$
The mix portion then becomes
Water | Cement | F.A | C.A |
---|---|---|---|
190 | 380 | 565 | 1306.5 |
0.5 | 1 | 1.486 | 3.438 |