Using the interaction equation method, determine the magnitude of the largest load P that may be applied to the column.

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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The column shown is fabricated from two C250 x 30 standard steel shapes (see Appendix B for its cross-sectional properties)
that are oriented back-to-back with a gap of 33 mm between the two channels. The column is fixed at its base and free to
translate in the y direction at its upper end. Translation in the z direction, however, is restrained at its upper end. A load P is
applied at an offset distance of 430 mm from the channel
flanges. Use the AISC equations given in Section 16.5, and assume that L = 4.1 m, s = 33 mm, E = 200 GPa, oy = 275 MPa, and
(Gallow); = 145 MPa.
Offset -
distance e
P
Lateral bracing
in z direction
C250 x 30
L
C250 x 30
Cross section.
Transcribed Image Text:The column shown is fabricated from two C250 x 30 standard steel shapes (see Appendix B for its cross-sectional properties) that are oriented back-to-back with a gap of 33 mm between the two channels. The column is fixed at its base and free to translate in the y direction at its upper end. Translation in the z direction, however, is restrained at its upper end. A load P is applied at an offset distance of 430 mm from the channel flanges. Use the AISC equations given in Section 16.5, and assume that L = 4.1 m, s = 33 mm, E = 200 GPa, oy = 275 MPa, and (Gallow); = 145 MPa. Offset - distance e P Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section.
Using the interaction equation method, determine whether the column is safe for a load of 75kN. Below, report the value of the
interaction equation. Here, consider bending about the z axis when calculating the value of the interaction equation. Note
whether the result you enter indicates that the column is safe or unsafe.
Answer: Interaction Equation Value = i
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Using the interaction equation method, determine the magnitude of the largest load P that may be applied to the column.
Answer: Pmax = i
kN
Transcribed Image Text:Using the interaction equation method, determine whether the column is safe for a load of 75kN. Below, report the value of the interaction equation. Here, consider bending about the z axis when calculating the value of the interaction equation. Note whether the result you enter indicates that the column is safe or unsafe. Answer: Interaction Equation Value = i eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer Using the interaction equation method, determine the magnitude of the largest load P that may be applied to the column. Answer: Pmax = i kN
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