How to Calculate Solid Volume of Concrete per Sack of Cement
What is the solid volume of concrete one could obtain per sack of cement?
A concrete mix prepared with 1: 2.1: 2.3 ratio. Water cement ratio is 0.52.
A. 3.2 cu.ft B. 3.76 cu.ft C. 4.34 cu.ft D. 5.34 cu.ft
The solid volume of concrete per sack of cement is approximately 6.02 cubic feet, considering a water-cement ratio of 0.52, mix ratio of 1:2.1:2.3 for sand and coarse aggregate, and accounting for potential air content.
Calculation Steps:
1. Calculate the water volume per sack of cement.
2. Express the volumes of sand and coarse aggregate in terms of cement volume.
3. Account for air content.
4. Total volume equation.
5. Substitute and simplify.
6. Convert cement volume to sack weight.
7. Plug values and calculate solid volume.
When you are preparing a concrete mix with a specific water-cement ratio and mix ratio for sand and coarse aggregate, it is important to calculate the solid volume of concrete you can obtain per sack of cement. This calculation helps in ensuring the right proportions are maintained for a strong and durable concrete structure.
To calculate the solid volume of concrete per sack of cement, you need to follow a series of steps. Firstly, determine the water volume per sack of cement based on the water-cement ratio. Then, express the volumes of sand and coarse aggregate in terms of cement volume according to the mix ratio. Account for any air content that might reduce the total solid volume.
After obtaining the expressions for water, sand, and coarse aggregate volumes in terms of cement volume, substitute them into the total volume equation. Simplify the equation to find the total volume of the concrete mix per sack of cement. Convert the cement volume to sack weight and plug the values into the equation to calculate the solid volume of concrete per sack of cement.
By following these steps and making the necessary calculations, you can determine that the solid volume of concrete obtained per sack of cement is approximately 6.02 cubic feet. This ensures that you are using the correct proportions of materials to achieve the desired strength and quality in your concrete mix.