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Home Civil Mathematics

Traffic Design-An Accident Investigation Problem

Arjun Barman, BEng by Arjun Barman, BEng
July 13, 2023
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  • An accident investigator estimates that a vehicle hit a bridge abutment at a speed of 22 miles/hour based on his assessment of the damage. Leading to the accident location he observed skid marks of 100 feet on the pavement (F = 0.35) and 85 feet on the grass shoulder (F = 0.245). There is no grade. Estimate the speed of the vehicle at the beginning of the skid marks. 
    • Transport & Traffic Design-A Accident Investigation Problem

An accident investigator estimates that a vehicle hit a bridge abutment at a speed of 22 miles/hour based on his assessment of the damage. Leading to the accident location he observed skid marks of 100 feet on the pavement (F = 0.35) and 85 feet on the grass shoulder (F = 0.245). There is no grade. Estimate the speed of the vehicle at the beginning of the skid marks. 

Transport & Traffic Design-A Accident Investigation Problem

Solution:

Given:

{{V}_{f}}=22\text{ miles/hr} \\ {{d}_{b\text{ }(pavement)}}\text{=100 feet and }F=\text{ }0.35 \\ {{d}_{b\text{ }(grass)}}=\text{85 feet and }F=\text{ }0.245 \\ \text{Now} \\ {{d}_{b\text{ }(grass)}}=\frac{{{V}_{i}}^{2}-{{V}_{f}}^{2}}{30(F)} \\ \Rightarrow 85=\frac{{{V}_{i}}^{2}-{{22}^{2}}}{30(0.245)} \\ {{V}_{i\text{ }(grass)}}=33.30\text{ miles/hr} \\ \text{Again,} \\ {{d}_{b\text{ }(pavement)}}=\frac{{{V}_{i}}^{2}-{{V}_{f}}^{2}}{30(F)} \\ \Rightarrow 100=\frac{{{V}_{i}}^{2}-{{33.30}^{2}}}{30(0.35)}\text{ }\to \text{ }\because \text{ }{[{V}_{i(grass)}}={{V}_{f(pavement)}]} \\ \therefore {{V}_{i(pavement)}}=46.46\text{ miles/hr}

The speed of the vehicle at the beginning of the skid marks is 46.46 miles/hr.

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Arjun Barman, BEng

Arjun Barman, BEng

Arjun Barman is an accomplished structural engineer with a Bachelor’s degree in Civil Engineering and a specialization in designing seismic- and wind-resistant building structures. With in-depth expertise in the behavior of materials like concrete, steel, and wood, he deeply understands structural dynamics and how forces interact with built environments. Passionate about sharing knowledge, Arjun enjoys writing practical, insightful articles that bridge complex engineering concepts with real-world applications. His work empowers engineers and enthusiasts to build safer, more resilient structures.

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