A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column. The column is supported inthe x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided tothe 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-yplane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P thecolumn can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occurabout either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column.PbfCdLateralВbracing2Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area.Answers: ly = imm“, Iz = imm4.

Answered: Answers: ly = mm“, Iz - mm4.

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Mechanical Engineering

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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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

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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