A specimen of copper having a rectangular cross section 15.2 mm * 19.1 mm (0.60 in. * 0.75 in.) is pulled in tension with 44,500 N (10,000 lbf ) force, producing only elastic deformation. Calculate the resulting strain.

The elastic modulus for Cu is given in Table 7.1 as 110 GPa (or 110* 10^9 N/m2).

Respuesta :

Answer:

Strain of the copper specimen will be equal to 0.0013

Explanation:

We have given tension in the wire [tex]F=44500N[/tex]

Area of rectangular copper specimen [tex]A=15.2\times 19.1\times 10^{-6}=290.32\times 10^{-6}m^2[/tex]

We have to find the strain of the copper specimen

Stress will be equal to [tex]stress=\frac{force}{area}=\frac{44500}{290.32\times 10^{-6}}=153.448\times 10^6N/m^2[/tex]

Elastic modulus of copper is given [tex]=11\times 10^10N/m^2[/tex]

Modulus of elasticity is equal to [tex]=\frac{stress}{strain}[/tex]

So [tex]11\times 10^{10}=\frac{153.448\times 10^6}{strain}[/tex]

Strain = 0.0013

So strain of the copper specimen will be equal to 0.0013