3. A truss element (beam with rectangular cross-section) is loaded in compression, as shown below. a. Identify the plane in which buckling will occur first. Support your answer with calculations. b. If instead of dimension 4a, the dimension along the z-axis is "b". find the ratio of a/b such that the beam is as likely to buckle in the xy plane as it is in the yz plane. F 4a x-y plane: fixed-fixed Out of page: pinned-fixed

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 11.3.9P: A column, pinned at top and bottom, is made up of two C 6 x 13 steel shapes (see figure) that act...
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3. A truss element (beam with rectangular cross-section) is loaded in compression, as shown below.
a. Identify the plane in which buckling will occur first. Support your answer with calculations.
b. If instead of dimension 4a, the dimension along the z-axis is "b". find the ratio of a/b such
that the beam is as likely to buckle in the xy plane as it is in the yz plane.
F
4a
x-y plane: fixed-fixed
Out of page: pinned-fixed
Transcribed Image Text:3. A truss element (beam with rectangular cross-section) is loaded in compression, as shown below. a. Identify the plane in which buckling will occur first. Support your answer with calculations. b. If instead of dimension 4a, the dimension along the z-axis is "b". find the ratio of a/b such that the beam is as likely to buckle in the xy plane as it is in the yz plane. F 4a x-y plane: fixed-fixed Out of page: pinned-fixed
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