calculate the quantity of concrete ingredients for the following volume. i) for 3mcubi, grade c 15,c 20,c 25 assume that the mix could be done by hand and machine and the size of the box is as stated above.
To calculate the quantity of concrete ingredients, we need to determine the volume of each ingredient required for the given mix. The mix specifications you provided are grade C15, C20, and C25, and the volume is 3 cubic meters.
First, let's define the mix proportions for each grade:
- C15: 1 part cement : 2 parts fine aggregate (sand) : 4 parts coarse aggregate (stone chips)
- C20: 1 part cement : 1.5 parts fine aggregate (sand) : 3 parts coarse aggregate (stone chips)
- C25: 1 part cement : 1 part fine aggregate (sand) : 2 parts coarse aggregate (stone chips)
Now, let's calculate the quantity of each ingredient separately for each grade:
GRADE C15:
1. Cement:
Cement quantity = (1/7) x 3 cubic meters (since the cement proportion is 1/7 of the total mix volume)
Cement quantity = 0.428 cubic meters
2. Fine Aggregate (Sand):
Fine aggregate quantity = (2/7) x 3 cubic meters (since the fine aggregate proportion is 2/7 of the total mix volume)
Fine aggregate quantity = 0.857 cubic meters
3. Coarse Aggregate (Stone chips):
Coarse aggregate quantity = (4/7) x 3 cubic meters (since the coarse aggregate proportion is 4/7 of the total mix volume)
Coarse aggregate quantity = 1.714 cubic meters
GRADE C20:
1. Cement:
Cement quantity = (1/5.5) x 3 cubic meters
Cement quantity = 0.545 cubic meters
2. Fine Aggregate (Sand):
Fine aggregate quantity = (1.5/5.5) x 3 cubic meters
Fine aggregate quantity = 0.818 cubic meters
3. Coarse Aggregate (Stone chips):
Coarse aggregate quantity = (3/5.5) x 3 cubic meters
Coarse aggregate quantity = 1.636 cubic meters
GRADE C25:
1. Cement:
Cement quantity = (1/4) x 3 cubic meters
Cement quantity = 0.75 cubic meters
2. Fine Aggregate (Sand):
Fine aggregate quantity = (1/4) x 3 cubic meters
Fine aggregate quantity = 0.75 cubic meters
3. Coarse Aggregate (Stone chips):
Coarse aggregate quantity = (2/4) x 3 cubic meters
Coarse aggregate quantity = 1.5 cubic meters
Keep in mind that these calculations assume the mix will be done either by hand or machine, and the size of the box is as stated. The proportions mentioned are general guidelines, and it's always advisable to consult professionals or follow local standards and codes for precise calculations.