A 6.5m long column in an existing building is part of a braced frame in both xx and yy planes of the cross section. It is fixed at the base and pinned at the top about both axes. In addition, the column is laterally supported perpendicular to its weak axis at a height 3.5m from the base. The column is a W (given designated steel section below) with Fy=415MPa. a. Determine the design compressive strength of the column. b. Is the column adequate to carry an axial compressive load of 400kN?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A 6.5m long column in an existing building is part of a braced frame in both xx and yy planes of the cross section. It is fixed at the base and pinned at the top about both axes. In addition, the column is laterally supported perpendicular to its weak axis at a height 3.5m from the base. The column is a W (given designated steel section below) with Fy=415MPa. a. Determine the design compressive strength of the column. b. Is the column adequate to carry an axial compressive load of 400kN?
Flange
Web
Mass
Depth
(mm)
Area
Thickness
thickness
(kg/m)
(mm²)
(mm)
(mm)
(mm)
314
40100
785
384
33.5
19.7
Axis X-X
Axis Y-Y
S = 1/c
(10' mm')
S= lfe
(10' mm')
r= VIJA
(to mm)
(тm)
(10 mm)
(mm)
4 290
10 900
328
315
1 640
88.6
Transcribed Image Text:Flange Web Mass Depth (mm) Area Thickness thickness (kg/m) (mm²) (mm) (mm) (mm) 314 40100 785 384 33.5 19.7 Axis X-X Axis Y-Y S = 1/c (10' mm') S= lfe (10' mm') r= VIJA (to mm) (тm) (10 mm) (mm) 4 290 10 900 328 315 1 640 88.6
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