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in Mechanical Properties of Solids by (15 points)
edited by

The elongation produced on a steel wire and given stress is 0.01mm what will be the elongation if the radius of wire is half by the same condition?

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1 Answer

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by (18.1k points)

y = Fx/AΔx,

y = Fx/πr2(0.01)  ...(1)

y' \(=\frac{Fx}{\pi(\frac r2)^2\;\Delta x}\)

y' \(=\frac{Fx\times4}{\pi r^2(\Delta x)}\)  ...(2)

y' = y

4/Δx = 1/0.01

Δx = 0.04 mm

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