Find out diameter of steel wire, Mechanical Engineering

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Find out diameter of steel wire:

Q: A load of 5 KN is to be raised with help of steel wire. Find out diameter of steel wire, if maximum stress does not to exceed 100 MNm2.

Sol.: Given:

P = 5 KN = 5000N

σ = 100MN/m² = 100N/mm²

Let D be diameter of wire

We know, σ = P/A

σ = P/ (Π /4 × D²)

100 = 5000/ ( Π /4 × D²)

D = 7.28mm .......ANS

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