## Structural design check slenderness

Effective length, l0

l0 = 0.5l [1 + k, / (0.45 + k,)]05 [1 + k2 / (0.45 + k2)]05 where k, and k2 are relative stiffnesses top and bottom of the column as before (See Section 5.4.4)

Critical direction is where k, and k2 are greater i.e. on grid C where k, = k2 = 0.252 l0 = 0.5 (4500-300) p + 0.252 / (0.45 + 0.252)]05 [, + 0.252 / (0.45 + 0.252)]05 l0 = 0.5 x 4200 x 136

Slenderness ratio, X X= l0 / i where i = radius of gyration = (I / A)05 = h / ,205 X = 3570 x ,205 / 500 = 24.7

Limiting slenderness ratio, Xlim Xlim = 20 ABC / n05 where

A = , / Q + 0.2^ef). Assume 0.7 as per default B = (I + 200)05. Assume U as per default C = 17 - rm where

.dur

Al, rm = M01 / M2 = -84.9 / 109.3 = -0.78 C = 1.7 + 0.78 = 2.48 n = NEd / A/CiJ

.'. as A < A|ir and 2nd order moments are not required.

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