A W200 × 46.1 structural steel shape (see Appendix B for the cross-sectional properties) is used as a column to support an eccentric axial load P. The column is 4 m long and it is fixed at its base and free at its upper end. At the upper end of the column, the load P is applied to a bracket at a distance of e = 150 mm from the x axis, creating a bending moment about the strong axis of the W200 x 46.1 shape (i.e., the z axis). Assume E = 200 GPa and ơy = 250 MPa and calculate the largest magnitude of the eccentric load P that may be applied to the columns using (a) AISC equations of allowable stress method (b) Interaction method. Use oending = 180 MPa.

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4. A W200 × 46.l structural steel shape (see Appendix B for the cross-sectional properties)
is used as a column to support an eccentric axial load P. The column is 4 m long and
it is fixed at its base and free at its upper end. At the upper end of the column, the
load P is applied to a bracket at a distance of e
150 mm from the x axis, creating
a bending moment about the strong axis of the W200 × 46.1 shape (i.e., the z axis).
Assume E = 200 GPa and oy = 250 MPa and calculate the largest magnitude of the
eccentric load P that may be applied to the columns using
(a) AISC equations of allowable stress method
(b) Interaction method. Use obending = 180 MPa.
eccentricity e
P
Transcribed Image Text:4. A W200 × 46.l structural steel shape (see Appendix B for the cross-sectional properties) is used as a column to support an eccentric axial load P. The column is 4 m long and it is fixed at its base and free at its upper end. At the upper end of the column, the load P is applied to a bracket at a distance of e 150 mm from the x axis, creating a bending moment about the strong axis of the W200 × 46.1 shape (i.e., the z axis). Assume E = 200 GPa and oy = 250 MPa and calculate the largest magnitude of the eccentric load P that may be applied to the columns using (a) AISC equations of allowable stress method (b) Interaction method. Use obending = 180 MPa. eccentricity e P
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