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Vertical columns of the same material, height and weight have the same end conditions. Which cross-section will carry the maximum load?

ASolid circular section

BThin hollow circular section

CI - section

DSolid square section

Answer:

B. Thin hollow circular section

Read Explanation:

Columns of same material, height and weight have same end conditions. Thin hollow circular section carries maximum load due to larger moment of inertia. Load carrying capacity is directly proportional to moment of inertia and inversely proportional to effective length. For a long column Euler's load is given by,P=π2EIminLeff2 P= \frac{\pi ^ 2 E I_{min}} {L_{eff} ^ 2}

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