Short problems: 1.1 Sketch the buckling shapes of columns with the following boundary conditions: (i) pinned-pinned ends, (ii) fixed- fixed ends, (iii) pinned-fixed ends, (iv) fixed-free ends. Show the effective length on the buckling shape, as KL. Which column is more prone to buckle (lowest critical load), and which column is less prone to buckle (highest critical load). 1.2 Draw a pinned-pinned column with a rectangular section with width b=h/10 (h=height of section) and length L=20h. Identify the weak axis. Compute the slenderness in the strong and weak directions. Compare the Per loads for buckling around the strong and the weak axis: what is the ratio between Per values?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Short problems:
1.1 Sketch the buckling shapes of columns with the following boundary conditions: (i) pinned-pinned ends, (ii) fixed-
fixed ends, (iii) pinned-fixed ends, (iv) fixed-free ends. Show the effective length on the buckling shape, as KL.
Which column is more prone to buckle (lowest critical load), and which column is less prone to buckle (highest
critical load).
1.2 Draw a pinned-pinned column with a rectangular section with width b=h/10 (h=height of section) and length
L=20h. Identify the weak axis. Compute the slenderness in the strong and weak directions. Compare the Per loads
for buckling around the strong and the weak axis: what is the ratio between Per values?
Transcribed Image Text:Short problems: 1.1 Sketch the buckling shapes of columns with the following boundary conditions: (i) pinned-pinned ends, (ii) fixed- fixed ends, (iii) pinned-fixed ends, (iv) fixed-free ends. Show the effective length on the buckling shape, as KL. Which column is more prone to buckle (lowest critical load), and which column is less prone to buckle (highest critical load). 1.2 Draw a pinned-pinned column with a rectangular section with width b=h/10 (h=height of section) and length L=20h. Identify the weak axis. Compute the slenderness in the strong and weak directions. Compare the Per loads for buckling around the strong and the weak axis: what is the ratio between Per values?
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