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Setback on rural highway, 80 kmph

Short answer

For two-lane highway at 80 km/h with ruling minimum radius 230 m and curve length 150 m, required setback from inner lane edge for 200 m sight distance is 18.53 m.

Calculate the setback required from the edge of inner lane of pavement to an obstruction on a two lane rural highway designed at the speed of 80 kmph. Assume the length of circular curve as 150 m having ruling minimum radius and required sight distance as 200 m.

Ruling minimum radius

With emax=0.07e_{max}=0.07 and fmax=0.15f_{max}=0.15 (IRC / NRS 2070):

Rmin=V2127(e+f)=802127(0.22)=229.1 mR_{min}=\frac{V^2}{127(e+f)}=\frac{80^2}{127(0.22)}=229.1\ \text{m}

Adopt R = 230 m (to the road centre line).

Setback

Assumptions: two-lane road, lane width 3.5 m, so the driver's path is at the centre of the inner lane, n=1.75n=1.75 m from the centre line and the path radius is Ri=230−1.75=228.25R_i=230-1.75=228.25 m. Sight distance S=200S=200 m is greater than L=150L=150 m, so the angle is based on the curve length:

α2=L2Ri=1502(228.25)=0.32859 rad=18.827∘\frac{\alpha}{2}=\frac{L}{2R_i}=\frac{150}{2(228.25)}=0.32859\ \text{rad}=18.827^\circ mc=Ri(1−cos⁡α2)+S−L2sin⁡α2=12.212+25sin⁡(18.827∘)=20.279 mm_c=R_i\left(1-\cos\frac{\alpha}{2}\right)+\frac{S-L}{2}\sin\frac{\alpha}{2}=12.212+25\sin(18.827^\circ)=20.279\ \text{m}

mcm_c is measured from the centre of the inner lane. The setback from the edge of the inner lane (pavement edge) is

m=mc−w2=20.279−1.75=18.53 mm=m_c-\frac{w}{2}=20.279-1.75=18.53\ \text{m}

(Measured from the road centre line this is 22.03 m.)

Answer: the obstruction must be kept at least 18.53 m from the edge of the inner lane.

✓ Answer checked by Claude Opus 5.5 (high effort)

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