A 17.3 kg chandelier is suspended from the ceiling by four vertical steel wires.

Question

A 17.3 kg chandelier is suspended from the ceiling by four vertical steel wires. Each wire has an uploaded length of 1.15 m and diameter of 2.03 mm and each bears an equal load. When the chandelier is hung, how far do the wires stretch?

Ans: 7.538*10^(-5) m

Please show me the steps!

Thanks!

A 17.3 kg chandelier is suspended from the ceiling by four vertical steel wires. Each wire has an uploaded length of 1.15 m and diameter of 2.03 mm and each bears an equal load. When the chandelier is hung, how far do the wires stretch? Ans: 7.538*10^(-5) m

Explanation / Answer

youngs's modulus of steel=2*10^11

young's modulus=stress/strain

or 2*10^11=(0.25*9.8*17.3)*1.15/(x*pi*(0.5*2.03*10^-3)^2)

or x=7.53*10^-5 m

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