Question

The axle load spectrum from a survey data is presented in the following table. The value of VDF (vehicle damage factor) is_______.

Axle load (tonnes)	percentage frequency
17-15	0.8
15-13	20
13-11	20
11-09	30
09-07	16
07-05	06

• A. 4.6

Answer 1

The correct option is A 4.6
Vehicle damage factor, $VDF=\left(0.08\right)\times {\left(\frac{16}{8.2}\right)}^4+{\left(\frac{14}{8.2}\right)}^4\times 0.2+{\left(\frac{12}{8.2}\right)}^4\times 0.2+{\left(\frac{10}{8.2}\right)}^4\times 0.3+{\left(\frac{8}{8.2}\right)}^4\times 0.16+{\left(\frac{6}{8.2}\right)}^4\times 0.06$
$=4.6019\simeq 4.6$