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Advanced Package Training Scaffolding 2011.1 - Scia-Software GbR

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1 2<br />

q p ( z)<br />

= ce<br />

( z)<br />

⋅ qb<br />

= ce<br />

( z)<br />

⋅ ⋅ ρ ⋅ vb<br />

2<br />

where<br />

ρ = 1,25 kg/m³<br />

[ ] ( ) ( ) 2<br />

2<br />

1 + 7 ⋅ I ( z)<br />

⋅ c ( z)<br />

⋅ c ( )<br />

ce v<br />

r<br />

( z)<br />

=<br />

z<br />

kl<br />

I v ( z)<br />

=<br />

⎛<br />

c0<br />

( z)<br />

⋅ ln ⎜<br />

⎝<br />

I v v<br />

( z)<br />

= I z<br />

( )<br />

min<br />

z<br />

z<br />

0<br />

⎞<br />

⎟<br />

⎠<br />

0<br />

for<br />

for<br />

19<br />

z ≤ z ≤ z<br />

min<br />

z ≤ zmin<br />

kl is the turbulence factor. The recommended value for kl is 1,0.<br />

These formulas evaluated for this example and category III gives:<br />

kl<br />

I v ( z)<br />

=<br />

⎛<br />

c0<br />

( z)<br />

⋅ ln ⎜<br />

⎝<br />

z<br />

z<br />

0<br />

1,<br />

0<br />

==<br />

=<br />

⎞ ⎛ 11 ⎞<br />

⎟ 1,<br />

0 ⋅ ln⎜<br />

⎟<br />

⎠ ⎝ 0,<br />

3⎠<br />

0,<br />

278<br />

2<br />

2<br />

2 2<br />

[ 1 + 7 ⋅ I ( z)<br />

] ⋅ ( c ( z)<br />

) ⋅ ( c ( ) ) = [ 1 + 7 ⋅ 0,<br />

278]<br />

⋅ ( 0,<br />

776)<br />

⋅ ( 1,<br />

0)<br />

= 1,<br />

77<br />

ce v<br />

r<br />

( z)<br />

= z<br />

That way, the total external pressure is obtained by:<br />

1<br />

( z)<br />

= ce<br />

( z)<br />

⋅ ⋅ ρ ⋅ v<br />

2<br />

2<br />

q p<br />

b<br />

=<br />

1,<br />

77<br />

⋅<br />

0<br />

1<br />

2<br />

⋅1,<br />

25 ⋅<br />

max<br />

2 ( 26,<br />

2)<br />

N / m²<br />

= 760N<br />

/ m²<br />

= 0,<br />

76kN<br />

/ m²<br />

<strong>Scaffolding</strong><br />

Furthermore, we can assume that the members in the plane perpendicular on the wind load take up<br />

about 1/5 (=20%) of the total surface of the construction, as shown on the drawing below:

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