A steel column carries an axial load of 200 kN, a moment of 50 kN-m at the top and moment 25 kN-m at the bottom. The two moments are in opposite direction and applied about the x-axis. The steel section has the following properties: A = 13000 mm2 S, = 1200 x 10³ mm³ L=3.6 m Ex = 109 mm ry 94 mm k = 1.0 E=200000 MPa %3D Fy = 248 MPa Use NSCP specification for compressive stress and F =F»y = 148 MPa. Determine the following: Compressive stress if axial load only existed. Bending stress if bending moment alone existed. Allowable compressive stress using NSCP. From the interaction formula compute the interaction value.

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Chapter10: Plate Girders
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Problem 10.7.9P
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A steel column carries an axial load of 200 kN, a moment of
50 kN-m at the top and moment 25 kN-m at the bottom. The
two moments are in opposite direction and applied about the
x-axis. The steel section has the following properties:
A = 13000 mm?
S, = 1200 x 10³ mm³
L= 3.6 m
Fy = 248 MPa
x = 109 mm
ry = 94 mm
k = 1.0
E= 200000 MPa
%3D
%3D
Use NSCP specification for compressive stress and F =F»y =
148 MPa. Determine the following:
Compressive stress if axial load only existed.
Bending stress if bending moment alone existed.
Allowable compressive stress using NSCP.
From the interaction formula compute the interaction
value.
answer key
а.) 15.38 Мра
b.) 41.6 Мра
с.) 133.13 Мра
d.) 0.40
Transcribed Image Text:A steel column carries an axial load of 200 kN, a moment of 50 kN-m at the top and moment 25 kN-m at the bottom. The two moments are in opposite direction and applied about the x-axis. The steel section has the following properties: A = 13000 mm? S, = 1200 x 10³ mm³ L= 3.6 m Fy = 248 MPa x = 109 mm ry = 94 mm k = 1.0 E= 200000 MPa %3D %3D Use NSCP specification for compressive stress and F =F»y = 148 MPa. Determine the following: Compressive stress if axial load only existed. Bending stress if bending moment alone existed. Allowable compressive stress using NSCP. From the interaction formula compute the interaction value. answer key а.) 15.38 Мра b.) 41.6 Мра с.) 133.13 Мра d.) 0.40
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