4 - Compression Members (columns...

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BCN 3431 Steel Design 1 Compression Members Structural elements that are subjected  only to axial compressive forces (columns,  truss members, bracing systems,…) Smaller compression members are  sometimes referred to as struts.
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BCN 3431 Steel Design 2 Type of Failure A long, slender column becomes unstable  when its axial compressive load reaches a  value called the critical buckling load. For extremely stocky members, failure  may be by compressive yielding rather  than buckling.
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BCN 3431 Steel Design 3 AISC Requirements P u  ≤  φ P P u   ≤  φ A g  F cr P = sum of factored loads P = nominal compressive strength F cr   = critical buckling stress φ c   = resistance factor for compression  members = 0.85
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BCN 3431 Steel Design 4 Critical Buckling Stress For  λ > 1.5    F cr  = (0.877 /  λ c 2 ) F y For  λ < 1.5    F cr  = ( 0.658   λ c 2 ) F y            λ =  (KL / r ) √ F π y  / E λ = slenderness parameter KL/r = slenderness ratio KL = effective length r = radius of gyration
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4 - Compression Members (columns...

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