Aggregate Crushing Value Calculation

The Aggregate Crushing Value test is a standard test that determines the resistance of aggregate to crushing under a gradually applied compressive load. It is an important property for aggregates used in road construction.

From the question, we are given the following values:

• Weight of crushed aggregate sample (material passing the 2.36 mm sieve): 20 gm
• Weight of test sample (original weight of aggregate): 200 gm

The Aggregate Crushing Value (ACV) is calculated using the formula:

$$ \text{Aggregate Crushing Value} = \left( \frac{\text{Weight of crushed aggregate sample}}{\text{Weight of test sample}} \right) \times 100\% $$

This formula essentially gives the percentage of the original sample weight that gets crushed and passes through a specified sieve (usually 2.36 mm) after the test.

Now, we substitute the given values into the formula:

$$ \text{Aggregate Crushing Value} = \left( \frac{20 \text{ gm}}{200 \text{ gm}} \right) \times 100\% $$ $$ \text{Aggregate Crushing Value} = \left( \frac{1}{10} \right) \times 100\% $$ $$ \text{Aggregate Crushing Value} = 0.1 \times 100\% $$ $$ \text{Aggregate Crushing Value} = 10\% $$

Based on the calculation, the aggregate crushing value for the given sample is 10 percent.