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Nb,Rd is the design buckling resistance of the compression member.

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body--uriencoded--$$ \normalsize N_%7Bb,Rd%7D = \frac %7B\chi A f_y%7D%7B\gamma_%7BM1%7D%7D

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& \qquad \qquad \text%7Bfor Class 1, 2 and 3 cross-

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sections%7D & \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (6.47)

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\\ N_%7Bb,Rd%7D = \frac %7B\chi A_%7Beff%7D f_y%7D%7B\gamma_%7BM1%7D%7D

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& \qquad \qquad \text%7Bfor Class 4 cross-

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sections%7D & \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (6.48)

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\\ \chi = \frac %7B1%7D%7B \Phi + \sqrt %7B\Phi%5e2 - \overline%7B\lambda%7D%5e2 %7D %7D

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& \quad \text%7Bbut%7D \qquad \chi \leq 1,0 & \

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qquad \

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qquad \qquad \qquad \qquad \qquad \qquad \qquad (6.49) $$

where

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body--uriencoded--$$ \normalsize \Phi = 0,5 \lfloor 1 + \alpha ( \overline%7B\lambda%7D - 0,2) + \overline%7B\lambda%7D%5e2 \rfloor $$

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body--uriencoded--$$ \normalsize \overline%7B\lambda%7D = \sqrt \frac%7BAf_y%7D%7BN_%7Bcr%7D%7D $$
for
& \qquad \qquad \text%7Bfor Class 1, 2 and 3 cross-
sections
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body--uriencoded--$$ \normalsize sections%7D \\ \overline%7B\lambda%7D = \sqrt \frac%7BA_%7Beff%7Df_y%7D%7BN_%7Bcr%7D%7D $$
for
& \qquad \qquad \text%7Bfor Class 4 cross-
sections
sections%7D $$

(1) The non-dimensional slenderness

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body--uriencoded--$$ \normalsize \overline%7B\lambda%7D $$
is given by:

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body--uriencoded--$$ \normalsize \overline%7B\lambda%7D = \sqrt \frac%7BAf_y%7D%7BN_%7Bcr%7D%7D = \frac%7BL_%7Bcr%7D%7D%7Bi%7D \frac%7B1%7D%7B\lambda_1%7D

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& \qquad \text%7Bfor Class 1, 2 and

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3 cross-sections%7D & \qquad \qquad \qquad \qquad \qquad \qquad \qquad (6.50)

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\\ \overline%7B\lambda%7D = \sqrt \frac%7BA_%7Beff%7Df_y%7D%7BN_%7Bcr%7D%7D = \frac%7BL_%7Bcr%7D%7D%7Bi%7D \frac%7B \sqrt%7B\frac%7BA_%7Beff%7D%7D%7BA%7D%7D%7D%7B\lambda_1%7D

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& \qquad \text%7Bfor Class 4 cross-

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sections%7D & \qquad \qquad \qquad \qquad \qquad \qquad \qquad (6.51) $$

where Lcr is the buckling length in the buckling plane considered;

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body--uriencoded--$$ \normalsize \frac%7Bc%7D%7Bt%7D = \frac%7B298%7D%7B13.5%7D = 22.07 \leq 33 \varepsilon =33 \times 0.81 = 26.73 & \qquad \qquad \qquad \text%7BClass 1%7D $$
Class 1

b) Gövde için :

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body--uriencoded--$$ \normalsize \frac%7Bc%7D%7Bt_f%7D = \frac%7B \left ( \frac%7B300%7D%7B2%7D - \frac%7B13.5%7D%7B2%7D - 27 \right )%7D%7B24%7D = 4.84 \leq 9 \varepsilon =9 \times 0.81 = 7.29 $$
Class 1
& \qquad \qquad \text%7BClass 1%7D $$

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