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Civil Engineering Practice • Transportation Engineering

Horizontal & Vertical Curves

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Worked

  • R = 1,000 ft, I = 40°: T = 1,000 × tan 20° = 364 ft, L = π × 1,000 × 40/180 = 698 ft.
  • Design speed 50 mph with e = 0.06 and f = 0.14: R = 50²/(15 × 0.20) = 833 ft minimum.
  • Crest from +3% to −2% over 600 ft: high point at x = 0.03 × 600/0.05 = 360 ft past the PVC.

Check it stuck: a set from Transportation Engineering, the knowledge area this unit teaches.

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