Concept explainers
Suppose that you are asked to design a column to support a compressive load P, as shown in Fig. P16.16a. The column has a cross-section shaped as a thin-wall edpipe as shown in Fig. P16.16b.
The design variables are the mean pipe diameter d and the wall thickness t. The cost of the pipe is computed by
where
where
Actual stress (
Actual stress
The actual stress is given by
The buckling stress can be shown to be
where
Finally, diameters of available pipes are between
FIGURE P16.16
(a) A column supporting a compressive load P. (b) The column has a cross section shaped as a thin-walled pipe.
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Numerical Methods for Engineers
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