# What will be the load by the road per square metre of an area??A road desgin calls for vertical dimension. FInd the expected mass per square metre that the road will add. The densiteis in place...

What will be the load by the road per square metre of an area??

A road desgin calls for vertical dimension. FInd the expected mass per square metre that the road will add. The densiteis in place will be approximetly:

Asphalt Pavment 175mm thick and " 2,100kg/m^3

Recycled Concrete700mm thick and - 1,700 kg/m^3

Pit run sand 600mm thick and - 1,750 kg/m^3

What will be the load by the road per square metre of an area??

jeew-m | Certified Educator

If a density of a layer is `A(kg)/m^3` and the thickness of it is xmm then the mass of that load per square meter is given by `A(x/1000)xx1 = Ax/(1000)`

So the load F act from this layer is the product of mass and gravitational acceleration.

`F = (Ax/1000)xxg = (Axg)/1000`

So now we have 3 layers each having properties as follows;

Asphalt `rarr 2100(kg)/m^3 rarr 175mm`

Recycled concrete `rarr 1700(kg)/m^3 rarr 700mm`

Pit run sand `rarr 1750(kg)/m^3 rarr 600mm`

`= (2100xx175xx9.81)/1000 = 3605.175N `

`= (1700xx700xx9.81)/1000 = 11673.9N `

Load cause by pit run sand `= (1750xx600xx9.81)/1000 = 10300.5N`

Load caused by all layer per square meter

`= 3605.175+11673.9+10300.5`

`= 25.58KN`

So the total load by the road per square meter is 25.58KN.

Note