As both relative slenderness ratios are greater than 0.3, the conditions in 5.3.1.(b) apply. (EC5, 6.3.2(3)):

Maximum relative slenderness ratio of the column

Factor ßc for solid timber (equation (5.6); (EC5, equation (6.29))

Instability factor, kc.z (equation (5.4b); (EC5, equation (6.26))

Design buckling strength, kc.z/c.0.d (equation (5.7b))

Design stress/design buckling strength ratio (equation (5.11b))

The design stress is less than the design buckling strength; therefore the 150 mm by 200 mm timber section in strength class C18 meets the ULS requirements of EC5.

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