QUESTION 1 A structural steel member 5 m long is to be used as a column (strut). The member is fixed at both ends for bending about y-y axis and pinned at one end and fixed at the other for bending about x-x axis. The section properties are as follows: A = 2.85 x 103 m² Ix = 19.4 x 10-6 m4 lyy = 1.42 x 106 mª %3D Oy = 300 MPa E = 200 GPa Under these conditions calculate the following: 1.1 Determine the critical slenderness ratio. 1.2 Calculate the buckling stress according to Euler theory. 1.3 Calculate the buckling stress according to Rankine and Gordon equation and the

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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QUESTION 1
A structural steel member 5 m long is to be used as a column (strut). The member is
fixed at both ends for bending about y-y axis and pinned at one end and fixed at the
other for bending about x-x axis.
The section properties are as follows:
A = 2.85 x 103 m²
Ix = 19.4 x 10-6 m4
lyy = 1.42 x 106 mª
%3D
Oy = 300 MPa
E = 200 GPa
Under these conditions calculate the following:
1.1 Determine the critical slenderness ratio.
1.2 Calculate the buckling stress according to Euler theory.
1.3 Calculate the buckling stress according to Rankine and Gordon equation and the
load producing this stress
Transcribed Image Text:QUESTION 1 A structural steel member 5 m long is to be used as a column (strut). The member is fixed at both ends for bending about y-y axis and pinned at one end and fixed at the other for bending about x-x axis. The section properties are as follows: A = 2.85 x 103 m² Ix = 19.4 x 10-6 m4 lyy = 1.42 x 106 mª %3D Oy = 300 MPa E = 200 GPa Under these conditions calculate the following: 1.1 Determine the critical slenderness ratio. 1.2 Calculate the buckling stress according to Euler theory. 1.3 Calculate the buckling stress according to Rankine and Gordon equation and the load producing this stress
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