A cylindrical specimen of this alloy having a length of 63 mm must elongate only 0.11 mm when a tensile load of 53,500 N is applied. Under these circumstances, what is the radius of the specimen (in mm)?

Respuesta :

Answer:

10.66mm

Explanation:

Given that the elongation is [tex]\bigtriangleup l=0.11mm[/tex] and Length,[tex]l=63mm[/tex] and Tensile Strength,[tex]F=53500[/tex], The longitudinal stress can be calculated as:

[tex]\epsilon=\frac{\bigtriangleup l}{l}=0.11/63=1.746\times10^-^3[/tex]

The value of strain-stress,[tex]\sigma=150MPa[/tex] corresponding to [tex]1.746\times10^-^3[/tex]'

[tex]\sigma=\frac{F}{A_o}\\150=\frac{53500}{\pi r_o^2}\\\\r_o=10.66mm[/tex]

Hence, the radius of the specimen is 10.66mm