Question

A copper cable hangs down in a vertical mine shaft. If maximum permissible stress is 8Mpa, Determine the maximum length of cable for a copper density of 9000 $\frac{Kg}{m^3}$. Also, determine maximum deflection occurs due to self-weight. Assume E of copper is 100 GPa.

Answer 1

${\sigma }_{max}=pgl=8\times {10}^6,l=90.61m$

${\epsilon }_{max}=\frac{{\sigma }_{max}}{E}=8/100\times {10}^3=8\times {10}^{-5}$

$\delta ={\epsilon }_{max}l=7.23mm$