A force of 40 N is applied at the end of a wire 4m long…

A force of 40 N is applied at the end of a wire 4m long and produces an extension of 0.24mm. If the diameter of the wire is 2.00mm, calculate the;

(i) stress on the wire; (ii) strain in the wire.

Explanation

(i) Stress = (frac{force}{text{cross sectiona area}})

= (frac{40}{3.142 (1 times 10^{-3})^2}) = 12.74 x 10(^{6})Nm(^{-2})

(ii) Strain = (frac{e}{I}) = (frac{24 times 10^{-5}}{4})

= 6.0 x 10(^{-5})

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