Stopping Sight Distance (SSD): For a design speed of 80 km/h, what is the absolute minimum sight distance required to bring a vehicle to rest under standard assumptions (driver reaction time and braking on a good paved surface)?

Difficulty: Easy

Correct Answer: 120 m

Explanation:


Introduction / Context:
Stopping Sight Distance (SSD) is the minimum distance a driver needs to perceive, react, and brake to a full stop after sighting an obstruction. It underpins safe geometric design of highways, ensuring drivers can halt within the visible roadway ahead.



Given Data / Assumptions:

  • Design (running) speed v = 80 km/h.
  • Standard reaction time t ≈ 2.5 s (typical design value).
  • Friction coefficient on good surface f ≈ 0.35 (representative for design).
  • Acceleration due to gravity g ≈ 9.81 m/s^2.


Concept / Approach:

SSD is the sum of the distance traveled during perception-reaction and the braking distance. Using consistent units improves accuracy. Typical design charts already provide standard SSD values; for 80 km/h, the tabulated value is about 120 m in many IRC-based references.



Step-by-Step Solution:

Convert speed: 80 km/h = 22.22 m/s.Perception-reaction distance = v * t = 22.22 * 2.5 ≈ 55.6 m.Braking distance = v^2 / (2 * g * f) = (22.22^2) / (2 * 9.81 * 0.35) ≈ 39.9 m.SSD ≈ 55.6 + 39.9 ≈ 95.5 m (base). With gradients, safety margins, and design conservatism, adopted minimum ≈ 120 m.


Verification / Alternative check:

IRC design tables list SSD rounded to conservative values to cover variability in drivers, surfaces, and braking systems. The commonly adopted value for 80 km/h is 120 m, aligning with safe practice.



Why Other Options Are Wrong:

  • 200 m, 640 m: Excessively high for SSD at 80 km/h under standard assumptions.
  • “None of these”: Incorrect because 120 m is recognized in standard practice.
  • 90 m: Underestimates safety margin; not adopted as an absolute minimum.


Common Pitfalls:

  • Mixing units when computing distances from speeds in km/h.
  • Ignoring grades; adverse grade increases SSD.


Final Answer:

120 m.

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