Answers: ly = mm“, Iz - mm4.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column. The column is supported in
the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to
the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y
plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the
column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur
about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column.
P
bf
C
d
Lateral
В
bracing
2
Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area.
Answers: ly = i
mm“, Iz = i
mm4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa012a2d8-1bbc-47c0-b9e5-25096d13f0b2%2Fd832e40d-9cbe-4520-ad53-cb62531eb82c%2Fjtjwba_processed.png&w=3840&q=75)
Transcribed Image Text:A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column. The column is supported in
the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to
the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y
plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the
column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur
about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column.
P
bf
C
d
Lateral
В
bracing
2
Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area.
Answers: ly = i
mm“, Iz = i
mm4.
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