3. An I beam column with fixed ends (at x = 0 and x = 12 m) is braced at midpoint C as shown belowand loaded in compression by a force P. Buckling can potentially occur in either xy plane or xzplane (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.IyyIzzB= 282 x 106 (mm)46 m6 ma. Which plane is more likely to buckle and why? Include relevant calculations to support yourchoice.b. Given your answer to part a, find the allowable axial force P assuming a safety factor of 2.Material Properties: E = 200 GPa; Sy = 280 MPaImportant properties of the cross-section:A = 27.5 x 10³ (mm)²= 712 x 106 (mm)4Zy

Answered: Image /qna-images/answer/89d87784-0a89-4661-b4ad-d5890c7825a0.jpg

3. 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. B lyy = 712 x 106 (mm)4 Izz = 282 x 106 (mm)4 A 6 m 6 m I 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; Sy = 280 MPa Important properties of the cross-section: A = 27.5 x 10³ (mm)²

3. 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. B lyy = 712 x 106 (mm)4 Izz = 282 x 106 (mm)4 A 6 m 6 m I 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; Sy = 280 MPa Important properties of the cross-section: A = 27.5 x 10³ (mm)²

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.12P: Two flat beams AB and CD, lying in horizontal planes, cross at right angles and jointly support a...

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