Computer · Strength of Materials
The Rankine formula for predicting the failure load of a practical column is: 1PR = 1PC + 1PE where PC = crushing load based on material strength and cross-sectional area, and PE = Euler buckling load based on elastic buckling theory. Statement I: The Rankine formula accounts for both crushing and buckling effects so that whichever mechanism governs automatically limits the predicted failure load. Statement II: The formula incorporates material crushing resistance to overcome the inaccuracy of Euler's theory for short, stocky columns, resulting in a unified interaction expression applicable to all column slenderness ratios. Which of the following options is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement I is correct, but Statement II is incorrect.
- 2Both Statement I and Statement II are correct, and Statement II correctly explains Statement I.✓
- 3Statement I is incorrect, but Statement II is correct.
- 4Both Statement I and Statement II are correct, but Statement II does not explain Statement I.
Correct answer
Both Statement I and Statement II are correct, and Statement II correctly explains Statement I.
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