A road bridge spans $20m.$ It has $5$ beams spaced at $1\mathrm{.}0m$ apart, to give a deck width of $5m.$

A truck with $3$ axles $($and $2$ wheels per axle$)$ drives across the bridge in the direction shown. The axle weights and

spacings are as shown in the Figure below. The transverse spacing between the wheels is $1\mathrm{.}8m.$

The truck is driven across the bridge such that the left side wheels are $0\mathrm{.}6m$ from the left edge of the deck $($so the right

side wheels are $2\mathrm{.}6m$ from the right edge of the deck$).$

The maximum bending moment will occur under axle $2.$

All loads are nominal values. No load factors are to be applied.

Calculate the position of the vehicle that produces the maximum bending moment in the bridge $($state this as the

distance from the midspan of the bridge to the location of axle $1).$

Calculate the six equivalent loads that you would place on the beams in a grillage model to represent the six wheel

loads.

Draw a plan of the bridge showing the actual dimensioned location of the six wheels when the vehicle is positioned

to produce the maximum bending moment. Also show the values and locations of the equivalent loads that you

would place on the beams in a grillage model to represent the six wheel loads.

Calculate the total value of the maximum bending moment $($the sum of the moments in all $5$ beams$).$