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 t, = 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. by C L 2 d Lateral B bracing L 2
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 t, = 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. by C L 2 d Lateral B bracing L 2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 t, = 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.
by
C
L
2
d
Lateral
B
bracing
L
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa012a2d8-1bbc-47c0-b9e5-25096d13f0b2%2F742d34ba-c508-42de-8872-ee06fa25653a%2Fdgl955_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 t, = 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.
by
C
L
2
d
Lateral
B
bracing
L
2
Transcribed Image Text:Determine the critical buckling load for buckling about the z axis.
Answer: Perz= i
! kN.
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Part 3
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The allowable load is the maximum compressive load that the col
given factor of safety.
Determine the allowable compressive load for buckling about the z axis.
Answer: Pallowz=
! kN.
i
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