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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 Pis 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. Using the interaction equation method, determine (a) whether the column is safe for a load of P = 75 kN; report the value of the interaction equation. (b) the magnitude of the largest load P that may be applied to the column.

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 Pis 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. Using the interaction equation method, determine (a) whether the column is safe for a load of P = 75 kN; report the value of the interaction equation. (b) the magnitude of the largest load P that may be applied to the column.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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 Pis 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. Using the interaction equation method, determine (a) whether the column is safe for a load of P = 75 kN; report the value of the interaction equation. (b) the magnitude of the largest load P that may be applied to the column. 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 Pis 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. Using the interaction equation method, determine (a) whether the column is safe for a load of P = 75 kN; report the value of the interaction equation. (b) the magnitude of the largest load P that may be applied to the column. Offset distance e P Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section.
Calculate the elastic critical buckling stress. Answer: oe = i MPa e Textbook and Media Save for Later Calculate the critical and allowable buckling stresses. Answers: Ocr i MPa Callow = MPa
Transcribed Image Text:Calculate the elastic critical buckling stress. Answer: oe = i MPa e Textbook and Media Save for Later Calculate the critical and allowable buckling stresses. Answers: Ocr i MPa Callow = MPa
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