The formula to calculate the Ballast Displacement Ratio (BDR) is:
\[ \text{BDR} = \frac{\text{B}}{\text{D}} \]
Where:
Let's say the total ballast (B) is 5000 lbs and the total displacement (D) is 20000 lbs. Using the formula:
\[ \text{BDR} = \frac{5000}{20000} = 0.25 \]
So, the ballast displacement ratio is 0.25.
Definition: Ballast weight is the weight added to a vehicle or structure to improve stability and balance.
Formula: \( BW = 110 \times HP - TW \)
Example: \( BW = 110 \times 100 - 7000 \)
Definition: The amount of ballast needed for concrete is calculated based on the volume of concrete required.
Formula: \( \text{Ballast Volume} = \text{Concrete Volume} \times \text{Ballast Ratio} \)
Example: \( \text{Ballast Volume} = 10 \times 1.5 \)
Definition: The volume of a ballast stack is the total space occupied by the ballast.
Formula: \( V = L \times W \times H \)
Example: \( V = 5 \times 4 \times 3 \)
Definition: The density of railway ballast is the mass per unit volume of the ballast material.
Formula: \( \rho = \frac{m}{V} \)
Example: \( \rho = \frac{2500}{1} \)
