A column 5 m long is pinned at both ends for bending about X-X axis and fixed at bothends for bending about Y-Y axis. The cross section of the member is rectangular withdimensions as given in Figure 2 below. Assume yield stress of 300 MPa and modulusof elasticity of 200 GPa.X400 mmy200 mmFigure 2Under the conditions described above, determine the following:2.1 About which axis the member will buckle.2.2 The Euler buckling stress.2.3 The buckling stress according to Rankine-Gordon equation as well as thebuckling load.

Given: The length of the column is 5 m. The cross-section of the rectangular section is 200 mm x 400…

A column 5 m long is pinned at both ends for bending about X-X axis and fixed at both ends for bending about Y-Y axis. The cross section of the member is rectangular with dimensions as given in Figure 2 below. Assume yield stress of 300 MPa and modulus of elasticity of 200 GPa.| y 400 mm 200 mm Figure 2 Under the conditions described above, determine the following: 2.1 About which axis the member will buckle. 2.2 The Euler buckling stress. 2.3 The buckling stress according to Rankine-Gordon equation as well as the buckling load.

A column 5 m long is pinned at both ends for bending about X-X axis and fixed at both ends for bending about Y-Y axis. The cross section of the member is rectangular with dimensions as given in Figure 2 below. Assume yield stress of 300 MPa and modulus of elasticity of 200 GPa.| y 400 mm 200 mm Figure 2 Under the conditions described above, determine the following: 2.1 About which axis the member will buckle. 2.2 The Euler buckling stress. 2.3 The buckling stress according to Rankine-Gordon equation as well as the buckling load.

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

100%

A column 5 m long is pinned at both ends for bending about X-X axis and fixed at both
ends for bending about Y-Y axis. The cross section of the member is rectangular with
dimensions as given in Figure 2 below. Assume yield stress of 300 MPa and modulus
of elasticity of 200 GPa.
X
400 mm
y
200 mm
Figure 2
Under the conditions described above, determine the following:
2.1 About which axis the member will buckle.
2.2 The Euler buckling stress.
2.3 The buckling stress according to Rankine-Gordon equation as well as the
buckling load.

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