To calculate the weight of cement, sand, and aggregate for M25 grade concrete, we follow the standard mix ratio and assume a 1 cubic meter (1m³) volume of concrete.
Standard Mix Ratio for M25 Concrete:
– Cement : Sand : Aggregate = 1 : 1 : 2
*(by volume)*
Step-by-Step Calculation:
# 1. Calculate Total Parts in the Mix:
\[
1 (Cement) + 1 (Sand) + 2 (Aggregate) = 4 \text{ parts}
\]
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# 2. Volume of Each Material per 1m³ Concrete:
– Cement = \( \frac{1}{4} \times 1 \, \text{m³} = 0.25 \, \text{m³} \)
– Sand = \( \frac{1}{4} \times 1 \, \text{m³} = 0.25 \, \text{m³} \)
– Aggregate = \( \frac{2}{4} \times 1 \, \text{m³} = 0.5 \, \text{m³} \)
# 3. Convert Volume to Weight (Density-Based):
– Density of Cement ≈ \(1440 \, \text{kg/m³}\)
\[
\text{Weight of Cement} = 0.25 \, \text{m³} × 1440 \, \text{kg/m³} = 360 \, \text{kg}
\]
– Density of Sand ≈ \(1600 – 1800 \, \text{kg/m³}\) *(Assume avg. \(1700 \, \text{kg/m³}\))*
\[
\text{Weight of Sand} = 0.25 \, \text{m³} × 1700 \, \text{kg/m³} = 425 \, \text{kg}
\]
– Density of Aggregate (Coarse) ≈ \(1450 – 1550 \, \text{kg/m³}\) *(Assume avg. \(1500 \, \text{kg/m³}\))*
\[
\text{Weight of Aggregate} = 0.5 \, \text{m³} × 1500 \, \text{kg/m³} = 750 \, kg
\]
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# 4. Adjust for Moisture & Wastage:
*(Optional, typically +5-10%