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Cranfield University

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Ancillary Experiments<br />

Figure 123: Footprint of a tyre with corresponding perimeter and shear area<br />

The theory of Söhne (1954) can thus be confirmed by taking the influence of load on stress<br />

into account. If the soil has to carry a weight, which exceeds its own bearing capacity, the<br />

enclosed soil will support itself on the surrounding soil due to cohesion. The smaller the<br />

contact area, the larger in relation is this shear area and consequently the bigger is the ef-<br />

fect of the LPPL. For a circular plate the circumference in proportion to the area enclosed<br />

decreases most efficiently with an increasing area. This is due to the fact that a circle sur-<br />

rounds the biggest area with the smallest circumference possible. The LPPL accounts for<br />

this and is highest for a circular plate. Consequently a long rectangular footprint maxi-<br />

mizees the outside area load. This agrees with the benefit of the tracks as they cause the<br />

same soil displacement as the rear tyres because they have similar contact pressures and a<br />

similar LPPL.<br />

Soil Deformation (1/100 * % Increase in DBD)<br />

0,18<br />

0,16<br />

0,14<br />

0,12<br />

0,10<br />

0,08<br />

0,06<br />

0,04<br />

1,2 1,4 1,6 1,8 2,0 2,2 2,4 2,6 2,8 3,0 3,2<br />

Load per PerimeterLength (t/m)<br />

High Axle Load<br />

Low Axle Load<br />

Linear Fit<br />

Figure 124: Soil deformation vs. LPPL for tyre and track treatments<br />

Ph.D. Thesis Dirk Ansorge (2007)<br />

161

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