Cement Sand Quantity Formula |
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\( Q_s \;=\; \dfrac{ r_s }{ T } \cdot V \) (Cement Sand Quantity) \( r_s \;=\; \dfrac{ Q_s \cdot T }{ V }\) \( T \;=\; \dfrac{ r_s \cdot V }{ Q_s }\) \( V \;=\; \dfrac{ Q_s \cdot T }{ r_s }\) |
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| Symbol | English | Metric |
| \( Q_s \) = Sand Quantity | \(dimensionless\) | \(dimensionless\) |
| \( r_s \) = Sand Ratio | \(dimensionless\) | \(dimensionless\) |
| \( T \) = Total Ratio of Ingredients | \(dimensionless\) | \(dimensionless\) |
| \( V \) = Concrete Volume | \(ft^3\) | \(m^3\) |
Cement sand quantity is the amount of sand, often referred to as fine aggregate, used in conjunction with cement in construction applications such as concrete, mortar, or plaster mixes. Sand provides bulk, fills voids between coarse aggregates, and contributes to the workability and strength of the mixture. The quantity of sand required is determined by the mix design, which is based on the specific application, desired strength, and project requirements.
For example, in a typical concrete mix with a ratio of 1:2:4 (cement:sand:coarse aggregate), sand constitutes about two parts of the mix by volume, roughly translating to 20-30% of the total volume of concrete. For one cubic meter of concrete, the sand quantity typically ranges from 500 to 800 kg, depending on the mix grade, the fineness and grading of the sand, and its specific gravity (usually around 2.5-2.7). In mortar mixes for masonry or plastering, the cement-to-sand ratio might range from 1:3 to 1:6, with sand quantities adjusted accordingly based on the volume of work. The sand must be well-graded, clean, and free of impurities to ensure proper bonding and strength. Accurate calculation of cement sand quantity is needed to achieve the desired consistency, avoid material wastage, and ensure structural integrity, while also accounting for factors like moisture content in sand or environmental conditions.
