A slightly tapered bar $A B$ of solid circular cross section and length $L$ is supported at end $B$ and subjected to a tensile load $P$ at the free end $A$. The diameters of the bar at ends $A$ and $B$ are $d_{A}$ and $d_{B}$ respectively. Determine the length of the bar if the elongation of the bar due to the load $P=45$ kips is 0.02 in. Assume that $\mathrm{E}=10,400 \mathrm{ksi}$