Correct Answer - Option 3 : 8050
Concept:
Modified CBR method:
\({N_s}\left( {MSA} \right) = \frac{{365\;A\left[ {{{\left( {1 + r} \right)}^n} - 1} \right] \times D \times F}}{r}\)
A = No. of vertical after completion of construction \( = P{\left( {1 + \frac{r}{{100}}} \right)^{x}}\)
x = no. of years for construction
P = Annual avg. daily traffic at starting of construction
D = lane. Dist. Factor (0.5)
F = vehicle damage factor
r = rate of growth
n = Design life (10 – 15 years)
Type of carriageway
|
No. of Lanes
|
V.D.F (0)
|
Undivided
|
1
|
1
|
2
|
0.75
|
4
|
0.40
|
Divided
|
2
|
0.75
|
3
|
0.60
|
4
|
0.45
|
Calculation:
Given, P = 5000, r = 10 %, n = 5 years
\(A = P{\left( {1 + \frac{r}{{100}}} \right)^n} = 5000\;{\left( {1 + 0.10} \right)^5} = 5000 \times {\left( {1.10} \right)^5}\)
∴ A = 8052.55 ≈ 8053.
Hence, Average future flow after 5 years will be 8050.