A W310x202 column supports beams framing into it as shown. The column supports an axial load 0 2676 KN, which includes the beam reactions at its top. Owing to unbalanced floor loading, moments o 110 KN-m each applied in opposite directions at the top and bottom of the column as shown. Sidesways is prevented by a bracing system Kx= 0.9, Ky= 1.0. 2676 kN Properties of W310x202 M-110 kN.m y = 520x106mm* Sx = 3050x10³mm³ Sy = 1050x10³mm³ A = 2580 mm² %3D d = 341 mm %3D by : = 31.8 mm = 315 mm = 142 mm 4.2 m tw = 20.1 mm r, = 80.2 mm a) What is the critical effective slenderness ratio? b) What is the buckling stress of the column? c) Calculate the critical load in kN. M=110 kN.m 2676 KN

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A W310x202 column supports beams framing into it as shown. The column supports an axial load of
2676 KN, which includes the beam reactions at its top. Owing to unbalanced floor loading, moments of
110 KN-m each applied in opposite directions at the top and bottom of the column as shown. Sidesways
is prevented by a bracing system Kx= 0.9, Ky= 1.0.
2676 kN
Properties of W310x202
M=110 kN.m
I
A = 2580 mm²
= 520x106mm*
Ix
Sx = 3050x10³mm³
1050x10³mm³
d = 341 mm
bf
tf = 31.8 mm
= 315 mm
Sy
ry = 142 mm
r, = 80.2 mm
4.2 m
tw
= 20.1 mm
%3D
a) What is the critical effective slenderness ratio?
b) What is the buckling stress of the column?
c) Calculate the critical load in kN.
M=110 kN.m
2676 kN
Transcribed Image Text:A W310x202 column supports beams framing into it as shown. The column supports an axial load of 2676 KN, which includes the beam reactions at its top. Owing to unbalanced floor loading, moments of 110 KN-m each applied in opposite directions at the top and bottom of the column as shown. Sidesways is prevented by a bracing system Kx= 0.9, Ky= 1.0. 2676 kN Properties of W310x202 M=110 kN.m I A = 2580 mm² = 520x106mm* Ix Sx = 3050x10³mm³ 1050x10³mm³ d = 341 mm bf tf = 31.8 mm = 315 mm Sy ry = 142 mm r, = 80.2 mm 4.2 m tw = 20.1 mm %3D a) What is the critical effective slenderness ratio? b) What is the buckling stress of the column? c) Calculate the critical load in kN. M=110 kN.m 2676 kN
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