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

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$\left ( A\right )$=$\frac{\pi}{4}\times d^{2}$=10.18$mm^{2}$

and change in length is given by

$\Delta L$=$\frac{FL}{AE}$

$\Delta {0.47\times 10^{-3}}$=$\frac{2460\times L}{10.180\times 117\times 10^{3}}$

L=$0.47\times 10^{-3}\times 10.18\times 117\times 10^{3]$

L=227.56 mm