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Camber elevations, straight and parabolic

Short answer

Straight camber: centre of lane 319.948 m, pavement edge 319.895 m, road edge 319.820 m. Parabolic camber: centre of lane 319.974 m, pavement edge 319.895 m, road edge 319.820 m.

The centre line of a two lane road has an elevation of 320.00 m. The camber of the pavement is 3.0% and cross-slope of shoulder is 5%. Calculate the elevation of pavement at centre of lane, edges of pavement and at road edge if i) Straight line camber is to be provided. ii) Parabolic camber is to be provided. Take width of lane 3.5 m and shoulder width as 1.5 m.

Data

Centre line RL = 320.0 m, camber = 3.0% (1 in 33.3), 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: 320.0−0.03(1.75)=319.948320.0-0.03(1.75)=\mathbf{319.948} m
  • Edge of pavement: 320.0−0.03(3.5)=319.895320.0-0.03(3.5)=\mathbf{319.895} m
  • Road edge (shoulder): 319.895−0.05(1.5)=319.820319.895-0.05(1.5)=\mathbf{319.820} 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=0.105cB/2=0.105 m).

  • Centre of lane (x=1.75x=1.75): y=2(0.03)(1.75)27=0.02625y=\dfrac{2(0.03)(1.75)^2}{7}=0.02625 m, RL =319.974=\mathbf{319.974} m
  • Edge of pavement (x=3.5x=3.5): y=0.10500y=0.10500 m, RL =319.895=\mathbf{319.895} m
  • Road edge: 319.895−0.05(1.5)=319.820319.895-0.05(1.5)=\mathbf{319.820} m
LocationStraight camber (m)Parabolic camber (m)
Centre line320.000320.000
Centre of lane319.948319.974
Edge of pavement319.895319.895
Road edge319.820319.820

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)

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