13. Buckling of Columns EXAMPLE 3 An aluminum column of length L and rectangular cross-section has a fixed end at B and supports a centric load at A. Two smooth and rounded fixed plates restrain end A from moving in one of the vertical planes of symmetry but allow it to move in the other plane. a) Determine the ratio a/b of the two sides of the cross-section corresponding to the most efficient design against buckling. b) Design the most efficient cross-section for the column. L- 500 mm E- 70 GPa P= 20 kN FS - 2.5

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 11.2.14P: An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with...
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13. Buckling of Columns
EXAMPLE 3
An aluminum column of length L and
rectangular cross-section has a fixed end at B
and supports a centric load at A. Two smooth
and rounded fixed plates restrain end A from
moving in one of the vertical planes of
symmetry but allow it to move in the other
plane.
a) Determine the ratio a/b of the two sides of
the cross-section corresponding to the most
efficient design against buckling.
b) Design the most efficient cross-section for
L- 500 mm
the column.
E = 70 GPa
P= 20 kN
FS - 2.5
GD) Karadeniz Technical Universty, Department of Mechanical Engineering, Mechanics of Materiais Lecture Notes
&
$15
7
9
Transcribed Image Text:13. Buckling of Columns EXAMPLE 3 An aluminum column of length L and rectangular cross-section has a fixed end at B and supports a centric load at A. Two smooth and rounded fixed plates restrain end A from moving in one of the vertical planes of symmetry but allow it to move in the other plane. a) Determine the ratio a/b of the two sides of the cross-section corresponding to the most efficient design against buckling. b) Design the most efficient cross-section for L- 500 mm the column. E = 70 GPa P= 20 kN FS - 2.5 GD) Karadeniz Technical Universty, Department of Mechanical Engineering, Mechanics of Materiais Lecture Notes & $15 7 9
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