The actual length of the runway required at an altitude of 300 m can be calculated using a correction factor for the altitude. The correction factor for altitude is typically 7% increase in runway length for every 300 m rise in altitude above mean sea level.

Let's denote :

$ L_0 $ as the base length of the runway at mean sea level (MSL)

$ h $ as the altitude above MSL

$ L $ as the actual length of the runway required at altitude $ h $

Given :

$ L_0 = 1500 $ m

$ h = 300 $ m

The increase in runway length can be calculated as :

$$ L = L_0 \times \left(1 + \frac{h}{300} \times 0.07 \right) $$

Substitute the given values :

$$ L = 1500 \times \left(1 + \frac{300}{300} \times 0.07 \right) $$

Simplify the expression :

$$ L = 1500 \times (1 + 0.07) $$

$$ L = 1500 \times 1.07 $$

$$ L = 1605 \, \text{m} $$

Therefore, the actual length of the runway to be provided at an altitude of 300 m is 1605 meters. Rounding off to the nearest integer, the length is 1605 meters.

Railway, Runway and Taxiway Design · Transportation Engineering · GATE CE

Marks 1