Question

A curved road 5 m wide is to be designed with a radius of curvature 900 m. What should be the elevation of the outer edge of the road above the inner edge optimum speed of the vehicles rounding the curve is 30 m/s.

Answer 1

r = 900 m, v = 30 m/s, g = 9.8 m/s², l = 5 m

tan θ = `v^2/(rg)`

= `(30)^2/(900 xx 9.8)`

= `1/9.8`

= 0.1020

The required angle of banking, θ = tan⁻¹ 0.1020 = 5°49'

The elevation of the outer edge relative to the inner edge,

h = l sin θ

= 5 (sin 5°49')

= 5 (0.1014)

= 0.507 m

= 50.7 cm