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International Symposium on Mitigative Measures against Snow ...

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<str<strong>on</strong>g>Internati<strong>on</strong>al</str<strong>on</strong>g> <str<strong>on</strong>g>Symposium</str<strong>on</strong>g> <strong>on</strong> <strong>Mitigative</strong> <strong>Measures</strong> <strong>against</strong> <strong>Snow</strong> Avalanches<br />

Egilsstaðir, Iceland, March 11–14, 2008<br />

The maximum anchor tensi<strong>on</strong> forces during the winter 2006/07 have been recorded at the<br />

upper anchor A3 and amount to 34 kN. The maximal measured tensi<strong>on</strong> forces in the uphill<br />

wire ropes R2 and R3 range between 17 kN (R3) and 28 kN (R2), the maximal tensi<strong>on</strong> force<br />

R4 in the wire rope that c<strong>on</strong>nects the head points of the posts is 24 kN.<br />

The forces in the downhill wire ropes R6, R7 and R8 vary from 1 kN to 10 kN. The maximal<br />

pressure force of 48 kN was recorded <strong>on</strong> the outermost post.<br />

3.2 Numerical results<br />

The following Table 1 depicts the forces in the Trumer net calculated according to the Swiss<br />

guidelines and the method of Haefeli. On the stated days, the snow heights behind the nets<br />

were measured with the terrestrial laser scanner. R4 represents the tensi<strong>on</strong> force in the wire<br />

rope c<strong>on</strong>necting the head points of the posts, R8 the tensi<strong>on</strong> force in the downhill guy, A3 the<br />

tensi<strong>on</strong> force in the uphill anchor and P2x the pressure force in the post (see Figure 6). The<br />

values in parenthesis are the corresp<strong>on</strong>ding measured forces.<br />

Table 1 Calculated forces in the Trumer snow net <strong>on</strong> selected days during the winter<br />

2006/07.<br />

Date<br />

H<br />

[m]<br />

ρ<br />

[kg/m³]<br />

R4<br />

[kN]<br />

R8<br />

[kN]<br />

A3<br />

[kN]<br />

P2x<br />

[kN]<br />

05.02.07 1.37 376 25.0 (12.1) 25.4 (4.4) 29.8 (26.1) 50.0 (21.5)<br />

20.02.07 1.59 361 29.4 (14.3) 29.9 (5.6) 36.5 (27.3) 58.9 (25.1)<br />

05.03.07 2.54 351 54.8 (18.9) 55.8 (5.8) 76.3 (29.4) 109.7 (32.2)<br />

15.03.07 2.02 387 42.3 (19.1) 43.1 (8.4) 54.7 (31.7) 84.8 (24.3)<br />

28.03.07 2.00 435 45.1 (23.5) 46.0 (2.4) 56.7 (32.6) 90.4 (46.4)<br />

The calculated tensi<strong>on</strong> force in the wire rope R4 varies from 25.0 kN to 54.8 kN, the tensi<strong>on</strong><br />

force in the guy R8 from 25.4 kN to 55.8 kN and the tensi<strong>on</strong> force in the uphill anchor A3<br />

from minimal 29.8 kN to maximal 76.3 kN. The results for the pressure forces P2x of the<br />

interior post range from 50.0 kN to 109.7 kN. The minimum determined values corresp<strong>on</strong>d to<br />

a snow height of 1.37 m, measured <strong>on</strong> 05.02.2007, the maximal calculated forces to a snow<br />

height of 2.54 m <strong>on</strong> 05.03.2007.<br />

The comparis<strong>on</strong> of the calculated and measured forces depicts that the values determined with<br />

the theoretical approach of Haefeli are c<strong>on</strong>sistently higher than the recorded field data. The<br />

major difference between measured and calculated values results for the tensi<strong>on</strong> force R8 in<br />

the downhill wire rope. The measured tensi<strong>on</strong> force R8 <strong>on</strong>ly amounts to about 20 % of the<br />

calculated force. The calculated tensi<strong>on</strong> forces R4 and pressure forces P2x are almost twice<br />

the amount of the corresp<strong>on</strong>ding measured values. The best accordance between calculated<br />

and measured forces exists for the anchor tensi<strong>on</strong> force A3.<br />

46 <strong>Snow</strong> loads <strong>on</strong> defensive snow net systems

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