A 10 m high 150UC30 steel column is fixed at its base and restrained to move laterally in the x direction at the top and at mid-height. Determine the allowable eccentric force P that can be applied without causing the column to either buckle or yield. Adopt a safety factor of 2 against buckling and yielding.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A 10 m high 150UC30 steel column is fixed at its base and restrained to move laterally
in the x direction at the top and at mid-height.
Determine the allowable eccentric force P that can be applied without causing the column
to either buckle or yield. Adopt a safety factor of 2 against buckling and yielding.
Hint: You may choose to use a computer program to help solve the arising iterative
equation. Alternatively, you may choose to not solve the equation at all and check the
criticality of a requirement by simple substitution.
Transcribed Image Text:A 10 m high 150UC30 steel column is fixed at its base and restrained to move laterally in the x direction at the top and at mid-height. Determine the allowable eccentric force P that can be applied without causing the column to either buckle or yield. Adopt a safety factor of 2 against buckling and yielding. Hint: You may choose to use a computer program to help solve the arising iterative equation. Alternatively, you may choose to not solve the equation at all and check the criticality of a requirement by simple substitution.
5 m
5 m
100 mm
d = 158 mm
b= 153 mm
b₁-tw
2
tf = 9.4 mm
tw = 21.0 mm
A = 3,860 mm²
E = 200 GPa
tw
₁
b₁
Cross section data for 150UC30
d₁
Ix = 17.6 x 106 mm
rx = 67.5 mm
Iy = 5.62 × 106 mm
ry = 38.1 mm
Oy = 250 MPa
Transcribed Image Text:5 m 5 m 100 mm d = 158 mm b= 153 mm b₁-tw 2 tf = 9.4 mm tw = 21.0 mm A = 3,860 mm² E = 200 GPa tw ₁ b₁ Cross section data for 150UC30 d₁ Ix = 17.6 x 106 mm rx = 67.5 mm Iy = 5.62 × 106 mm ry = 38.1 mm Oy = 250 MPa
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