Camber shape effect: On a pavement with a parabolic camber, how does the angle of inclination (cross slope) of vehicles vary from the crown to the edges?

Difficulty: Easy

Correct Answer: More at the edges

Explanation:


Introduction / Context:
Camber (cross fall) shapes the transverse slope of a road to drain water. A popular shape is a true (quadratic) parabolic camber, which avoids abrupt slope changes and improves riding comfort compared to a straight-line (plane) camber.



Given Data / Assumptions:

  • Parabolic camber profile across the carriageway.
  • Angle of inclination refers to the local cross slope at a given offset from the crown.


Concept / Approach:

In a parabolic camber, the slope is zero at the crown and increases with distance from the centerline, reaching its maximum at the pavement edges. This yields gentle near-crown slopes to enhance comfort and larger edge slopes to provide drainage capacity.



Step-by-Step Reasoning:

Parabolic profile y = kx^2 (measured from crown).Local slope dy/dx = 2kx → increases linearly with x.Hence, slope is smallest near crown and largest at edges → vehicles are more inclined at edges.


Verification / Alternative check:

Camber tables show edge slopes equal to the specified camber percentage, while slope at the crown is effectively zero for a parabolic form.



Why Other Options Are Wrong:

  • “More at the crown” or “Less at the edges” contradict the mathematics of a parabola.
  • “Same at edges and crown” applies to plane camber, not parabolic.


Common Pitfalls:

  • Assuming a uniform cross slope for all camber shapes; only straight-line camber has constant slope.


Final Answer:

More at the edges.

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