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

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Derive the stopping sight distance (SSD) formula as shown:
where
V
t
f
G
dz
SSD = d₁ + d₂
vt
3.6
v²
2g (3.6²)(f± G)
Hint 2: If 00, sin 0 tan 0.
=
d₁ =
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: 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
(W is the weight of the vehicle)
Vo = v
1
Figure 1
Vf = 0
O
2
0, tan = G
Transcribed Image Text:Derive the stopping sight distance (SSD) formula as shown: where V t f G dz SSD = d₁ + d₂ vt 3.6 v² 2g (3.6²)(f± G) Hint 2: If 00, sin 0 tan 0. = d₁ = 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: 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 (W is the weight of the vehicle) Vo = v 1 Figure 1 Vf = 0 O 2 0, tan = G
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