Derive the stopping sight distance (SSD) formula as shown: where V t f G SSD = d₁ + d₂ vt 3.6 v² 2g(3.6²)(f±G) (W is the weight of the vehicle) d₂ = is the running speed at perception of the object or obstruction (in kph) is the perception-reaction time (in s) is the coefficient of friction between the tires and pavement is the gradient (+ for uphill, - for downhill) Hint 2: If 00, sin 0 tan 0. d₁ = Hint: Use the concept of conservation of energy (see Figure 1). Account for kinetic, potential, and friction energies. Recall: KE=mv², PE = mgh, and W₁ = fWd₂ Vo = v 1 Figure 1 Vf = 0 2 0, tan 8 = G
Derive the stopping sight distance (SSD) formula as shown: where V t f G SSD = d₁ + d₂ vt 3.6 v² 2g(3.6²)(f±G) (W is the weight of the vehicle) d₂ = is the running speed at perception of the object or obstruction (in kph) is the perception-reaction time (in s) is the coefficient of friction between the tires and pavement is the gradient (+ for uphill, - for downhill) Hint 2: If 00, sin 0 tan 0. d₁ = Hint: Use the concept of conservation of energy (see Figure 1). Account for kinetic, potential, and friction energies. Recall: KE=mv², PE = mgh, and W₁ = fWd₂ Vo = v 1 Figure 1 Vf = 0 2 0, tan 8 = G
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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