A 22 ft long column in an existing building is part of a braced frame, both in the x-x and the y-y planes of the cross section. It is fixed at the base and pinned at the top for both axes. In addition, the column is laterally supported perpendicular to its weak axis at a height equal 12 ft from the base as shown. The column is W10x77 section A992 steel Grade 50 (i.e. Fy = 50 ksi). Determine (KxLx) and determine the maximum factored load that the column can support. Check local buckling. See figure.

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Chapter4: Compression Members
Section: Chapter Questions
Problem 4.9.5P
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ADDITIONAL INFO: KxLx=17.6, KyLy=10, phiPn of W10x77=869kips, phiPn of W12x53=167kips SHOW STEPS
A 22 ft long column in an existing building is part of a braced frame, both in the x-x and
the y-y planes of the cross section. It is fixed at the base and pinned at the top for both
axes. In addition, the column is laterally supported perpendicular to its weak axis at a
height equal 12 ft from the base as shown. The column is W10x77 section A992 steel
Grade 50 (i.e. Fy = 50 ksi). Determine (KxLx) and determine the maximum factored load
that the column can support. Check local buckling. See figure.
Fixed base
Ⓒ
10.0¹
12.0¹
22.0¹
(KxLx)
Fig. Problem 4
I
10'
12'
IH
(KyLy) = 10 ft
(KyLy)2 = 9.6 ft
Transcribed Image Text:A 22 ft long column in an existing building is part of a braced frame, both in the x-x and the y-y planes of the cross section. It is fixed at the base and pinned at the top for both axes. In addition, the column is laterally supported perpendicular to its weak axis at a height equal 12 ft from the base as shown. The column is W10x77 section A992 steel Grade 50 (i.e. Fy = 50 ksi). Determine (KxLx) and determine the maximum factored load that the column can support. Check local buckling. See figure. Fixed base Ⓒ 10.0¹ 12.0¹ 22.0¹ (KxLx) Fig. Problem 4 I 10' 12' IH (KyLy) = 10 ft (KyLy)2 = 9.6 ft
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