Calculation of Equilibrium Superelevation

Given data:
- Radius of the horizontal circular curve (R) = 100 m
- Design speed (V) = 50 km/h

Formula:
The formula to calculate the equilibrium superelevation (e) is given by:
e = (V^2) / (127R)

Step 1: Convert the design speed from km/h to m/s
The design speed is given in km/h, but we need to convert it to m/s for the calculation.
1 km/h = 1000 m/3600 s = 10/36 m/s.

So, the design speed (V) in m/s = 50 * (10/36) = 500/36 m/s.

Step 2: Plug the values into the formula
e = ((500/36)^2) / (127 * 100)
e = (250000/1296) / 127
e = 0.1928

Step 3: Round off the value
The equilibrium superelevation should be rounded off to the nearest hundredth.
e ≈ 0.19

Explanation:
The equilibrium superelevation is the amount of banking or tilting provided to a horizontal circular curve to counteract the centrifugal force experienced by a vehicle traveling at a certain speed. It ensures that the vehicle remains stable and does not skid or overturn while negotiating the curve.

In this case, we are given the radius of the curve (100 m) and the design speed (50 km/h). To calculate the equilibrium superelevation, we use the formula e = (V^2) / (127R), where V is the design speed in m/s and R is the radius of the curve.

We convert the design speed from km/h to m/s by multiplying it by (10/36). Then, we substitute the values into the formula and solve for e.

The calculated value of e is 0.1928, which we round off to 0.19.

Therefore, the equilibrium superelevation required for the given horizontal circular curve is approximately 0.19.