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For a bronze alloy, the stress at which plastic deformation begins is 275 MPa and the modulus of elasticity is 115 GPa. If the original specimen length is listed above, what is the maximum length to which it may be stretched without causing plastic deformation

Respuesta :

Answer:

maximum length to which it may be stretched without causing plastic deformation is 200 + 0.4782 = 2.4782 mm

Explanation:

given data

stress = 275 MPa

modulus of elasticity = 115 GPa

solution

we will apply here modulus of elasticity  formula that is

modulus of elasticity = stress ÷ strain   ....................1

here we consider original length is 200 mm

so strain is = [tex]\frac{\triangle L}{original\ length }[/tex]  ..........2

put here value in equation 1 we get

115 ×  [tex]10^{9}[/tex] = [tex]\frac{275 \times 10^{6}}{\frac{x}{200} }[/tex]

solve it we get

x = [tex]\frac{11}{23}[/tex]  

x = 0.4782

so maximum length to which it may be stretched without causing plastic deformation is 200 + 0.4782 = 2.4782 mm

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