An aluminum column with a length of L and a rectangular cross-section has a fixed end 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 of the column 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, knowing that L = 20in., E=10.1 x 10^6 psi, P = 5kips, and a factor of safety of 2.5 is required. Now, replace the pinned boundary condition on top with a fixed boundary condition. You otherwise leave all other aspects of the problem unchanged.
An aluminum column with a length of L and a rectangular cross-section has a fixed end 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 of the column 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, knowing that L = 20in., E=10.1 x 10^6 psi, P = 5kips, and a factor of safety of 2.5 is required. Now, replace the pinned boundary condition on top with a fixed boundary condition. You otherwise leave all other aspects of the problem unchanged.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An aluminum column with a length of L and a rectangular cross-section has a fixed end 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 of the column 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, knowing that L = 20in., E=10.1 x 10^6 psi, P = 5kips, and a factor of safety of 2.5 is required.
Now, replace the pinned boundary condition on top with a fixed boundary condition. You otherwise leave all other aspects of the problem unchanged.
Transcribed Image Text:Z
a.
A
B
P
b
X
L
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VIEWStep 2: Part a:The ratio a/b of the two sides of the cross-section.
VIEWStep 3: Part b:Design the most efficient cross-section for the column.
VIEWStep 4: Part c:Replace the pinned boundary condition on top with a fixed boundary condition.
VIEWStep 5: b:Design the most efficient cross-section for the column.
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