Question

A W8x35 is used as a column. The weak axis is braced at 28 ft from the bottom and the bottom end condition is fixed in all directions. The top is pinned in all directions and weak axis bracing is pinned. Find the critical load of buckling and the critical stress of buckling.

Total Length = 50ft.

rx=?

ry=?

Pcr=?

(P/A)cr=?

Answer 1

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Properties of w8X35 22ft Ix = 107 int Y = 3.51 in Iy = 42.6 ist, dy = 2.03 E = 29000 ksi (for steel) A = 10.3 i 2 soft 2841 (x-axib) For Pinned - Fixed, K = 4 2 ). (K=1, Finned-pinned) (y-ari) Effective lengm in a direction, Lex = klx = Fax 50 = 35.355 = 424.26 in Effective length in y-direction, Ley = Khy Ley = max(1x22 , taxas) = 2aft = 264 in KLX 424.26 3.51 = 120.87 Kly = 264 2,03 - 130.05 .: (i) Slenderness ratio in x-direction (1) Slendernes rubio in y-direction se ry Governing Blendesnen ratio = mar (SR)3(SR)y) = 130.05 (y-direction) *PET critical buckling Load Pop = (Here, I= Iyy governing value] (KL) K L = Kloy = Ley * 2x 29000 x 42.6 Por = (264) .. 2 Por = 174.94 kips Pur 174.94 10.3 = 16.98 kipslina A :. Critical buckling stress, Der = P A - 16.98 Ksi Cr or