1. A steel column has an unsupported height of 5.4 m is pin connected at both ends with sidesway is prevented. It carries an total axial load of 530 kN, Mx = 20 kNm, My = 3 kNm at the top and Mx = 13.5 kN, My = 1 kNm at the bottom which causes bending to both major and weak axis (single curvature for both axis). Except for bracings at the top and bottom there is no lateral bracing about either major and minor axis of the column. Fy= 250 MPa. USE ASD and check if the section is adequate

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Please answer the problem attached image. Thank you very much. Use NSCP 2015.

Hint: the answer Pr = 530 kN
Pc = 717.96 kN
Mrx (w/ amplification factor) = 20 kNm
Mry (w/ amplification factor) = 5.05 kNm
Mcx = 117.72 kNm
Mcy = 49.85 kNm
Interaction Value = 0.98 < 1.0  safe - adequate section

 

1. A steel column has an unsupported height of 5.4 m is pin connected at both ends with sidesway is
prevented. It carries an total axial load of 530 kN, Mx = 20 kNm, My = 3 kNm at the top and Mx = 13.5
kN, My = 1 kNm at the bottom which causes bending to both major and weak axis (single curvature
for both axis). Except for bracings at the top and bottom there is no lateral bracing about either major
and minor axis of the column. Fy = 250 MPa. USE ASD and check if the section is adequate
Properties of W section
A = 8590 mm²
d = 256 mm
bf=201 mm
tf = 16 mm
tw = 9 mm
rts = 57.8 mm
rx = 111 mm
ry = 51.5 mm
kdes = 28.4 mm
Ix = 103 x 106 mm*
ly= 22.2 x 106 mm*
Sx = 806 x 10³ mm³
Sy = 219 x 10³ mm³
Zx = 902 x 10³ mm³
Zy = 333 x 10³ mm³
J = 629 x 10³ mm³
C₂ = 1.0
Kx = Ky = 1.0
Transcribed Image Text:1. A steel column has an unsupported height of 5.4 m is pin connected at both ends with sidesway is prevented. It carries an total axial load of 530 kN, Mx = 20 kNm, My = 3 kNm at the top and Mx = 13.5 kN, My = 1 kNm at the bottom which causes bending to both major and weak axis (single curvature for both axis). Except for bracings at the top and bottom there is no lateral bracing about either major and minor axis of the column. Fy = 250 MPa. USE ASD and check if the section is adequate Properties of W section A = 8590 mm² d = 256 mm bf=201 mm tf = 16 mm tw = 9 mm rts = 57.8 mm rx = 111 mm ry = 51.5 mm kdes = 28.4 mm Ix = 103 x 106 mm* ly= 22.2 x 106 mm* Sx = 806 x 10³ mm³ Sy = 219 x 10³ mm³ Zx = 902 x 10³ mm³ Zy = 333 x 10³ mm³ J = 629 x 10³ mm³ C₂ = 1.0 Kx = Ky = 1.0
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