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A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximum tensile stress of 270 MPa is developed within the wire. The entire deformation of the wire remains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (in mm) is ________.

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Concept:

The maximum elongation happens when the stress acting on the body is maximum.

\(\displaystyle \Delta l=\frac{Pl}{AE}=\frac{σ_{max} l}{E}\)

σmax = maximum tensile stress, l = length, and E = Young Modulus of Elasticity.

Calculation:

Given:

l = 300 mm, σmax = 270 MPa, E = 100 GPa = 100 × 103 MPa

\(\displaystyle \Delta l=\frac{σ_{max} l}{E}\)

\(\displaystyle \Delta l=\frac{270 \times 300}{100\times10^3}=0.81\;mm\)

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