Civil Engineering Conversions

Volume to weight and weight to volume calculations.

Civil Engineering Conversions

How to convert sand in cubic meters to weight in kgs or metric tons.

To convert the volume of sand from cubic meters to weight, you can multiply the volume by the density of the sand: 

1. Calculate the volume

Measure the area of the container and the depth, then multiply the two numbers together. 

2. Multiply by the density

The approximate density of sand is 1600 kg/m3 (100 lb/ft3). Multiply the volume by the density to get the weight. 

Wet sand is heavier than dry sand because water fills the space between the grains of sand, increasing the overall density.

3. 1000 kilogram is equal to 1 metric ton.

Example:-

300 cubic meter sand is required for filling in cable trenches in a plant, sand is available by trucks containing about 30MT of sand capacity, how many trucks should we order?

density = weight / volume

hence, weight = volume x density

so, sand 300 cubic meters x 1600 kg/cum = 4,80,000 kg

convering kg to metric tons, 4,80,000 kg / 1000 = 480 MT

therefore, 480 MT / 30 MT per truck = 16 Trucks of sand are required.


Similarly, To convert the volume of wet mix macadam (WMM) from cubic meters to weight, you can use the same formula: 

Formula

Mass

Mass = Volume × Density

The density of blended aggregate for WMM is usually between 1,600 and 2,000 kg/cubic meter. The maximum dry density (MDD) is calculated using a proctor density test. 

For example, if the volume of a WMM layer is 1,050 cubic meters and the MDD is 2,230 kg/cubic meter, then the mass is: 

Mass = 1,050 × 2,230 kg = 2,341,500 kg

Mass in tons = 2,341,500/1,000 tons = 2,341.5 tons


How do we find the density?

Again, the best way is to keep the volume same and compare weights to find the density.

Thr various methods are 

1. Determine the Maximum Dry Density (MDD)

Perform a standard Proctor test (ASTM D698) or a modified Proctor test (ASTM D1557) to find the maximum dry density of the sand. This test involves compacting the sand in a mold and measuring the density.

2. Field Density Test

Conduct a field density test to measure the in-place density of the sand. Common methods include:

Nuclear density gauge: This device uses radioactive isotopes to measure the density and moisture content of the soil.

Sand cone method: This involves digging a hole, measuring the volume of the hole using sand, and then calculating the density.

Water displacement method: Similar to the sand cone but uses water to determine the volume of the excavated soil.

3. Calculate the Dry Density

If using the sand cone or water displacement method, calculate the dry density of the sand using the formula:

Dry Density = Weight of the dry sand / Volume of the hole

4. Calculate the Compaction Percentage

Use the following formula to calculate the compaction percentage:

Compaction Percentage = (Field Dry Density / Maximum Dry Density) × 100

5. Compare with Required Compaction

If the calculated compaction percentage is 95% or higher, the sand is considered adequately compacted.

Example Calculation

Maximum Dry Density (MDD): 1200 kg/cum (from Proctor test).

Field Dry Density: 1140 kg/cum (from field test).

Compaction Percentage:

Compaction Percentage = (114 / 120) × 100 ≈ 95%

In this example, the sand is compacted to approximately 95% of its maximum dry density.

Conclusion

Ensure to follow proper testing procedures and safety protocols when conducting these tests. If you consistently achieve 95% compaction, the sand will provide good load-bearing capabilities for construction purposes.

Thanks.

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