4. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown below and loaded in compression by a force P. Buckling can potentially occur in either xy plane or xz plane (out of the page). The bracing acts as a simple support (i.e. pinned support) in the xy plane, and there is no such midspan support for buckling in the xz plane. 6 m 6 m a. Which plane is more likely to buckle and why? Include relevant calculations to support your choice. b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2. Material Properties: E = 200 GPa; S = 280 MPa y Important properties of the cross-section: A = 27.5×10³ (mm)² I = 712×106 (mm) yy 1zz 282×10° (mm) =

4. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown below and loaded in compression by a force P. Buckling can potentially occur in either xy plane or xz plane (out of the page). The bracing acts as a simple support (i.e. pinned support) in the xy plane, and there is no such midspan support for buckling in the xz plane. 6 m 6 m a. Which plane is more likely to buckle and why? Include relevant calculations to support your choice. b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2. Material Properties: E = 200 GPa; S = 280 MPa y Important properties of the cross-section: A = 27.5×10³ (mm)² I = 712×106 (mm) yy 1zz 282×10° (mm) =

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.6.14P: The wide-flange, pinned-end column shown in the figure carries two loads: a force P1= 450 kN acting...

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