A rectangular cross section steel column of length L, a fixed end at B and supports a concentric load at A as shown. Point A is restrained from moving in one of the vertical planes of symmetry of the column, but allows to move in the other plane by the use of two smooth and rounded fixed plates. (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 = 45 in., E = 10 x 106 psi, P = 20 kips, and that a factor of safety of 2.7 is required. Answers: (a) _______
A rectangular cross section steel column of length L, a fixed end at B and supports a concentric load at A as shown. Point A is restrained from moving in one of the vertical planes of symmetry of the column, but allows to move in the other plane by the use of two smooth and rounded fixed plates. (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 = 45 in., E = 10 x 106 psi, P = 20 kips, and that a factor of safety of 2.7 is required. Answers: (a) _______
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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A rectangular cross section steel column of length L, a fixed end at B and supports a concentric load at A as shown. Point A is restrained from moving in one of the vertical planes of symmetry of the column, but allows to move in the other plane by the use of two smooth and rounded fixed plates.
(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 = 45 in., E = 10 x 106 psi, P = 20 kips, and that a factor of safety of 2.7 is required.
Answers:
(a) _______
(b) _______
Transcribed Image Text:2-
A
B
b
X
-y
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