For very short struts Pe is very large; l/Pe can therefore be neglected and PR = Pc. For very long struts Pe is very small and 1 /Pe is very large so that 1 /P, can be neglected. Thus

The Rankine formula is therefore valid for extreme values of L/k. It is also found to be fairly accurate for the intermediate values in the range under consideration. Thus, re-writing the formula in terms of stresses,

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