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Determine the effective slenderness ratio for the column for bending about the y centroidal axis. Note whether or not this column is categorized as a long column for bending about the y centroidal axis. Answer: (K,L/r,) = i

Determine the effective slenderness ratio for the column for bending about the y centroidal axis. Note whether or not this column is categorized as a long column for bending about the y centroidal axis. Answer: (K,L/r,) = i

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the effective slenderness ratio for the column for bending about the y centroidal axis. Note whether or not this column is categorized as a long column for bending about the y centroidal axis. Answer: (K,L/r,) = i
Transcribed Image Text:Determine the effective slenderness ratio for the column for bending about the y centroidal axis. Note whether or not this column is categorized as a long column for bending about the y centroidal axis. Answer: (K,L/r,) = i
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. 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 Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section. Determine the effective slenderness ratio for the column for bending about the z centroidal axis. Note whether or not this column is categorized as a long column for bending about the z centroidal axis. Answer: (K-L/r2) = i
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. 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 Lateral bracing in z direction C250 x 30 L C250 x 30 Cross section. Determine the effective slenderness ratio for the column for bending about the z centroidal axis. Note whether or not this column is categorized as a long column for bending about the z centroidal axis. Answer: (K-L/r2) = i
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