Load And Resistance Factor Design For Building Column
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Plastic analysis of prismatic compression members in buildings is permitted if ( F y ) ½ (l/r) does not exceed 800 and F u les than equal to 65 ksi (448 MPa). For axially loaded members with b/t less than equal to (lambda)r , the maximum load P u , ksi (MPa= 6.894 X ksi), may be computed from
P u = 0.85A g F cr
WhereA g =gross cross-sectional area of the member
F cr =0.658 lambda F y for lambda <= 2.25
=0.877 F y / lambda for lambda > 2.25
lambda =(Kl / r) 2 (F y / 286,220)
The AISC specification for LRFD presents formulas for designing members with slender elements.