Question

A cylindrical specimen of some metal alloy having an elastic modulus of 117 GPa and an original cross-sectional diameter of 3.6 mm will experience only elastic deformation when a tensile load of 2460 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.47 mm.

Answer 1

Answer:227.56 mm

Step-by-step explanation:

Given data

Elastic modulus
`\left ( E\right )`= 117 GPa

Diameter
`\left ( d\right )`=3.6mm

force applied
`\left ( F\right )`=2460N

Area of cross-section
`\left ( A\right )`=
`(\pi)/(4)* d^(2)`=10.18
`mm^(2)`

and change in length is given by

`\Delta L`=
`(FL)/(AE)`

`\Delta {0.47* 10^(-3)}`=
`(2460* L)/(10.180* 117* 10^(3))`

L=
`0.47* 10^(-3)* 10.18* 117* 10^{3]`

L=227.56 mm