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PA-TOWER<br />

PA-Tower<br />

... to continue<br />

• dynamic pressure for wind up to wind force beaufort<br />

8 H< 8,0mq = 0,20 kN/m 2 ²<br />

• wind on pay load<br />

W = 1,3 x q x A [kN]<br />

with A = surface exposed to the wind<br />

• Wind on truss tower<br />

w 1 = 0,25 x q [kN/m]<br />

(estimated load for trusses with standard dimensions)<br />

Example 2:<br />

tower H = 6.0 m<br />

pay load 500 kg (= 5.0kN)<br />

eccentricity e = 0.5 m<br />

surface exposed to wind A = 1.5 m²<br />

Wind on tower of unperforated profiles<br />

w 1 = 1,3 x b x q [kN/m]<br />

with b = Towerwidth<br />

For example a free standing tower without wind load limit<br />

in wind zone 2:<br />

• dynamic pressure<br />

H< 10 mq = 0,46 kN/m 2²<br />

• wind on the tower analogous to state of operation<br />

w 2 = 0,25 x q bzw. w 2 = 1,3 x b x q<br />

Wind on pay load is not taken into account because the<br />

load is lowered from wind force beaufort 8.<br />

As well as for the indoor use again the ratio tilting<br />

moment - stability moment is decisive for the verification.<br />

The tilting moment is:<br />

For operation mode up to wind force 8:<br />

Mk = P x e + W x H + w 1 x H 2 / 2<br />

Out of operation:<br />

Mk = w 2 x H 2 / 2<br />

The stability moment is the same as for indoor use:<br />

Ms = G x L/2<br />

Here again the stability is proofed if:<br />

Ms > v x Mk .<br />

The safety factor for temporary buildings for wind loads is<br />

v = 1,2.<br />

For operation mode up to wind force 8 :<br />

W = 1,3 x 0,20 kN/m² x 1,5m² = 0,39 kN<br />

w1= 0,25 x 0,20 kN/m² = 0,05 kN/m<br />

Mk = 5,0 kN x 0,5m+0,39kN x 6,0m + 0,05 kN/m x 6,0² / 2 = 5,74 kNm<br />

for comparison:<br />

tiliting moment at tower without pay load and without wind force limit:<br />

Mk = 0,25 x 0,46 kN/m² x 6,0 ² / 2 = 2,07 kNm<br />

ground area basement 1,5m x 1,5 m<br />

self weight tower + basement 150 kg = 1,5 kN<br />

stability moment Ms = (1,5kN + 5,0kN) x 1,5m / 2 = 4,875 kNm<br />

required safety acc. EN 1381 = 1,2<br />

Ms = 4,875 < 1,2 x Mk = 6,89 kNm<br />

No verification => additional ballast necessary<br />

Ms = erfG x 1,5m / 2 > 6,89 => erf G = 9,19 kN = 919 kg<br />

present 150 kg + 500 kg => still necessary 269 kg<br />

alternative : raising width of basement to 2,12 m<br />

216

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