Question

It is proposed to widen and strengthen the existing 2-lane national highway section as a divided highway. Find out the number of standard axle loads if the existing traffic in one direction is 2500 vehicles per day. Construction will take one year
$r=8\%,VDF=3.5,LDF=0.75,n=10years$

• A. 47.47 msa
• B. 42.47 msa
• C. 37.47 msa
• D. 32.47 msa

Answer 1

The correct option is C 37.47 msa

$A=P{(1+\frac{r}{100})}^n$
A = Traffic at the end of construction period
$A=2500{(1+\frac{8}{100})}^1=2700cvpd$
$N_S=\frac{365A({(1+\frac{r}{100})}^n-1)VDF\times LDF}{r}$
$N_S=\frac{365\times 2700({(1+\frac{8}{100})}^{10}-1)\times 0.75\times 3.5}{\left(\frac{8}{100}\right)}$
$=37.47msa$