$(6$ points$)$

If the rod shown has circular cross$-$sections and elongates by ${}_C=0\mathrm{.}006-$ in at point $C$ relative to point $A,$ then the force applied at $C$ is closest to:

Choices $=([A,1709],[B,1890],[C,2072],[D,2254],[E,2437])*lbf$

$P_B=5200*lbf$

$E_1=29000*ksi$

$D_1=0\mathrm{.}67*in$

$L_1=21*in$

$E_2=14000*ksi$

$D_2=0\mathrm{.}84*in$

$L_2=28*in$

Ignore the thickness of the loading collar at Assume both materials deform elastically