Answered: = 200 kN -1.0 m- -1.0 m- 2.0 m d = 200…

Engineering

Mechanical Engineering

= 200 kN -1.0 m- -1.0 m- 2.0 m d = 200 mm A

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

An aluminum tube AB with a circular cross
section has a sliding support at the base and is pinned
at the top to a horizontal beam supporting a load
Q = 200 kN (see figure).
Determine the required thickness t of the tube if
its outside diameter d is 200 mm and the desired factor
of safety with respect to Euler buckling is n = 3.0.
(Assume E = 72 GPa.)

= 200 kN
-1.0 m-
-1.0 m-
2.0 m
d = 200 mm
A

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