Question

Given the following data: design life n = 15 years, lane distribution factor D = 0.75, annual rate of growth of commercial vehicles r = 6%, vehicle damage factor F = 4 and initial traffic in the year of completion of construction = 3000 Commercial Vehicles Per Day(CVPD). As per IRC : 37-2012, the design traffic in terms of cumulative number of standard axles (in million standard axles, up to two decimals places) is

Answer 1

Given;
Design life, n = 15 years
Lane distribution factor, D = 0.75
Annual growth rate of commercial vehicles, r = 6% = 0.06
Vehicle damage factor , F = 4
Initial traffic in the year of completion of construction, A = 3000

Cumulative number of standard axle
$=\frac{365\times A\left[\right(1+r{)}^n-1]\times D\times F}{r\times {10}^6}msa$
$=\frac{365\times 3000\left[\right(1.06{)}^{15}-1]\times 0.75\times 4}{0.06\times {10}^6}msa$
$=76.46msa$