Buckling of Columns Ex. 2: A long, slender column ABC is pin-supported at the ends and compressed by an axial load P (Fig. below). Lateral support is provided at the midpoint B in the plane of the figure, while that perpendicular to the plane of the figure is provided at the support only. The column is constructed of a steel wide-flange section (W 8 × 28) having modulus of elasticity ( E = 2 × 105 MPa) and proportional limit ( opL = 290 MPa ). The total length of the column is (L = 7.6 m). Determine the allowable load Pallow using a factor of safety ( S.F. = 2.5 ) with respect to Euler buckling of the column. Using I, = 40.8 × 106 mmª and 2 = 9.0 × 106 mmª , A = 5323 mm?. %3D

Buckling of Columns Ex. 2: A long, slender column ABC is pin-supported at the ends and compressed by an axial load P (Fig. below). Lateral support is provided at the midpoint B in the plane of the figure, while that perpendicular to the plane of the figure is provided at the support only. The column is constructed of a steel wide-flange section (W 8 × 28) having modulus of elasticity ( E = 2 × 105 MPa) and proportional limit ( opL = 290 MPa ). The total length of the column is (L = 7.6 m). Determine the allowable load Pallow using a factor of safety ( S.F. = 2.5 ) with respect to Euler buckling of the column. Using I, = 40.8 × 106 mmª and 2 = 9.0 × 106 mmª , A = 5323 mm?. %3D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Buckling of Columns
Buckling of Columns
Ex. 2 ( Continued)
Ex. 2: A long, slender column ABC is pin-supported at the ends
and compressed by an axial load P (Fig. below). Lateral
support is provided at the midpoint B in the plane of the
figure, while that perpendicular to the plane of the figure is
provided at the support only.
The column is constructed of a steel wide-flange section
(W 8 x 28) having modulus of elasticity ( E = 2 × 105 MPa)
and proportional limit ( op = 290 MPa ). The total length of
the column is ( L = 7.6 m).
Pallow using a factor of safety ( S.F. = 2.5 ) with respect to
Euler buckling of the column. Using I, = 40.8 × 106 mmª and
I, = 9.0 x 106 mmª , A = 5323 mm².
W 8 x 28
Determine the allowable load
(u)
(g)

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