3. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown belowand loaded in compression by a force P. Buckling can potentially occur in either xy plane or xzplane (out of the page). The bracing acts as a simple support (i.e. pinned support) in the xy plane,and there is no such midspan support for buckling in the xz plane.IyyIzzB= 282 x 106 (mm)46 m6 ma. Which plane is more likely to buckle and why? Include relevant calculations to support yourchoice.b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2.Material Properties: E = 200 GPa; Sy = 280 MPaImportant properties of the cross-section:A = 27.5 x 10³ (mm)²= 712 x 106 (mm)4Zy

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3. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown below and loaded in compression by a force P. Buckling can potentially occur in either xy plane or xz plane (out of the page). The bracing acts as a simple support (i.e. pinned support) in the xy plane, and there is no such midspan support for buckling in the xz plane. B lyy = 712 x 106 (mm)4 Izz = 282 x 106 (mm)4 A 6 m 6 m I Which plane is more likely to buckle and why? Include relevant calculations to support your choice. b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2. Material Properties: E = 200 GPa; Sy = 280 MPa Important properties of the cross-section: A = 27.5 x 10³ (mm)²

3. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown below and loaded in compression by a force P. Buckling can potentially occur in either xy plane or xz plane (out of the page). The bracing acts as a simple support (i.e. pinned support) in the xy plane, and there is no such midspan support for buckling in the xz plane. B lyy = 712 x 106 (mm)4 Izz = 282 x 106 (mm)4 A 6 m 6 m I Which plane is more likely to buckle and why? Include relevant calculations to support your choice. b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2. Material Properties: E = 200 GPa; Sy = 280 MPa Important properties of the cross-section: A = 27.5 x 10³ (mm)²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

3. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown below
and loaded in compression by a force P. Buckling can potentially occur in either xy plane or xz
plane (out of the page). The bracing acts as a simple support (i.e. pinned support) in the xy plane,
and there is no such midspan support for buckling in the xz plane.
Iyy
Izz
B
= 282 x 106 (mm)4
6 m
6 m
a. Which plane is more likely to buckle and why? Include relevant calculations to support your
choice.
b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2.
Material Properties: E = 200 GPa; Sy = 280 MPa
Important properties of the cross-section:
A = 27.5 x 10³ (mm)²
= 712 x 106 (mm)4
Z
y

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