Derivatives of Road Grade: Continuous or Not?

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Discussion Overview

The discussion centers around the continuity of the derivative of road grade as a function of distance, exploring whether road grades are continuous or differentiable. Participants consider the implications of road design and regulations on this topic.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant expresses a desire to know if the derivative of road grade is continuous and questions existing regulations that might ensure such continuity.
  • Another participant humorously suggests that the presence of speed bumps and potholes indicates a lack of continuity in road grades.
  • A further comment adds to the humor by mentioning asphalt discontinuities, implying that road surfaces may not be uniformly continuous.
  • A participant refers to the need for expertise in road design, suggesting that the question may require specialized knowledge.

Areas of Agreement / Disagreement

Participants do not reach a consensus; there are multiple competing views regarding the continuity of road grades, and the discussion remains unresolved.

Contextual Notes

Participants do not provide specific definitions or regulations regarding road grade continuity, leaving assumptions about road design and maintenance practices unaddressed.

Office_Shredder
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For reasons I cannot enumerate here it would be highly desirous if I knew the derivative of the grade of the road as a function of distance was continuous (differentiable would be even nicer) I don't suppose anybody knows what kind of regulations might exist for local or federal roads that would guarantee some kind of continuity condition on the grade of the road? The more I think about this the more I feel like it just isn't continuous. An example of such a road is a flat section, then a dip shaped like a cosine graph then a flat portion again
 
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I take it you don't like speed bumps.

Pot holes are right out.
 
collinsmark said:
I take it you don't like speed bumps.

Pot holes are right out.

Asphalt discontinuities :biggrin:
 
Hmmmm, this is a question for a roads scholar.
 

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