A solid metal round bar 1 cm in diameter can hold (without suffering damage) a m

Question

A solid metal round bar 1 cm in diameter can hold (without suffering damage) a maximum hanging weight corresponding to a mass of 1000Kg. If the mechanical resistance were simply proportional to the cross-sectional area,

(a) What should the external diameter be so that a tube of the same metal with 3mm wall thickness could hold the same load?

(b) If the metal density is 7.8 g/cm^3, how many meters long could the metal bar be before suffering damage due to its own weight? (assume constant value of acceleration of gravity)

Explanation / Answer

a) 1.044 cm b) 292 m this is correct

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