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Wind Resistant Design AIJ Recommendations for Wind Loads on ...

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Correcti<strong>on</strong> Factors<br />

Depending <strong>on</strong> Mode Shape φ<br />

• Ordinary buildings<br />

1−<br />

0.4ln β M<br />

φD<br />

=<br />

2 + β M<br />

2<br />

( )<br />

2<br />

M B + D<br />

φT<br />

=<br />

36I<br />

T<br />

M ⎛ Z ⎞<br />

φL<br />

= ⎜ ⎟<br />

3M<br />

⎝ H ⎠<br />

L<br />

β −1<br />

• Lattice Towers<br />

φ<br />

D<br />

=<br />

M<br />

M<br />

D<br />

⎛<br />

⎜<br />

⎝<br />

⎧⎛<br />

B<br />

⎨<br />

⎜0.5<br />

⎩⎝<br />

B<br />

5<br />

D<br />

0<br />

Z<br />

H<br />

⎞<br />

⎟<br />

⎠<br />

β −1<br />

( 1−<br />

0.4ln β )<br />

H<br />

Al<strong>on</strong>g-wind loads<br />

(1 − 0.4 ln β )<br />

Crosswind loads<br />

Torsi<strong>on</strong>al wind loads<br />

⎞ ⎫<br />

− 0.3<br />

⎟(<br />

β − 2) + 1.4⎬( 1−<br />

0.4ln<br />

β )<br />

⎠ ⎭Al<strong>on</strong>g-wind loads<br />

β<br />

⎛ Z ⎞<br />

µ = ⎜ ⎟<br />

⎝ H ⎠<br />

Mode shape<br />

Vortex Res<strong>on</strong>ance and<br />

Aerodynamic Instabilities<br />

• Particularly wind-sensitive<br />

buildings to satisfy following<br />

c<strong>on</strong>diti<strong>on</strong>s:<br />

H<br />

N<strong>on</strong><br />

≥ 4<br />

BD<br />

and<br />

f<br />

,<br />

⎛<br />

⎜<br />

⎝<br />

L<br />

f T<br />

U H<br />

N<strong>on</strong>-dimensi<strong>on</strong>al<br />

<strong>on</strong>set velocity<br />

H<br />

D<br />

B<br />

U<br />

⎞<br />

H<br />

* U<br />

H<br />

*<br />

≥ 0.83U<br />

⎟<br />

Lcr<br />

or ≥ 0.83U<br />

Tcr<br />

f<br />

L<br />

BD<br />

fT<br />

BD ⎠<br />

: Fundamental natural<br />

frequencies of crosswind<br />

vibrati<strong>on</strong> and torsi<strong>on</strong>al vibrati<strong>on</strong><br />

24

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