Problem $6\mathrm{.}14$

A rectangular bar is cut from an AISI $1020$ cold$-$drawn steel flat. The bar is $2\mathrm{.}5$ in wide by $\frac{3}{8}$ in

thick and has a $0\mathrm{.}5-$in$-$dia. hole drilled through the center as depicted in Table A$-15-1.$ The bar is

concentrically loaded in push$-$pull fatigue by axial forces $F_a,$ uniformly distributed across the

width. Using a design factor of $n_d=2,$ estimate the largest force $F_a$ that can be applied ignoring

column action.

Figure A$-15-1$

Bar in tension or simple

compression with a transverse

hole. ${}_0=\frac{F}{A},$ where

$A=(w-d)t$ and $t$ is the

thickness.