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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 />
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