Skip to main content

Camber elevations at 320.50 m

Short answer

For straight camber, elevations are 320.456 m (centre of lane), 320.413 m (pavement edge), 320.338 m (road edge). For parabolic camber, centre of lane is 320.478 m, others same.

The centre line of a double lane road has an elevation of 320.50 m as recorded from longitudinal profile. The camber is 2.5% and cross fall of shoulder is 5%. Calculate the elevation of road surface at the centre of lane, edges of pavement and road edges if (i) straight line camber is provided (ii) parabolic camber is provided. Take shoulder width 1.5 m and lane width 3.5 m.

Data

Centre line RL = 320.5 m, camber = 2.5% (1 in 40), two-lane carriageway, lane width = 3.5 m so pavement width B=7B=7 m (half-width 3.5 m), shoulder width = 1.5 m with cross-slope 5%. Distances are measured from the centre line: centre of lane at x=1.75x=1.75 m, pavement edge at x=3.5x=3.5 m, road edge (shoulder edge) at x=5x=5 m.

(i) Straight-line camber

Fall =c x=c\,x.

  • Centre of lane: 320.5−0.025(1.75)=320.456320.5-0.025(1.75)=\mathbf{320.456} m
  • Edge of pavement: 320.5−0.025(3.5)=320.413320.5-0.025(3.5)=\mathbf{320.413} m
  • Road edge (shoulder): 320.413−0.05(1.5)=320.338320.413-0.05(1.5)=\mathbf{320.338} m

(ii) Parabolic camber

Parabola with crown at the centre line: y=2c x2By=\dfrac{2c\,x^2}{B} (so the total fall at the edge, x=B/2x=B/2, is the same, cB/2=0.0875cB/2=0.0875 m).

  • Centre of lane (x=1.75x=1.75): y=2(0.025)(1.75)27=0.02188y=\dfrac{2(0.025)(1.75)^2}{7}=0.02188 m, RL =320.478=\mathbf{320.478} m
  • Edge of pavement (x=3.5x=3.5): y=0.08750y=0.08750 m, RL =320.413=\mathbf{320.413} m
  • Road edge: 320.413−0.05(1.5)=320.338320.413-0.05(1.5)=\mathbf{320.338} m
LocationStraight camber (m)Parabolic camber (m)
Centre line320.500320.500
Centre of lane320.456320.478
Edge of pavement320.413320.413
Road edge320.338320.338

The parabolic camber keeps the middle of the pavement flatter (better riding) and is steeper near the edges, which helps drainage.

✓ Answer checked by Claude Opus 5.5 (high effort)

All Transportation Engineering I chapter 3 questions →