$($c$)$ A simply supported shaft, diameter $50$ mm $,$ on bearing supports carries a load of $10$ kN at its midpoint. The axial load on the bearings is $3$ kN $.$ The shaft speed is $1440$ rpm $.$ Select a bearing for $1000$ hours of operation. Use the relevant part of Table $1$ and Table $2$ given in Page $2.$

Table $1.$

$\backslash$table$[[\frac{F_a}{C_0},\frac{F_a}{C_r}e,\frac{F_a}{C_r}>e,$e$],[$X$,$Y$,$X$,$Y$],[0\mathrm{.}025,1,0,0\mathrm{.}56,2\mathrm{.}0,0\mathrm{.}22],[0\mathrm{.}040,1,0,0\mathrm{.}56,1\mathrm{.}8,0\mathrm{.}24],[0\mathrm{.}070,1,0,0\mathrm{.}56,1\mathrm{.}6,0\mathrm{.}27],[0\mathrm{.}130,1,0,0\mathrm{.}56,1\mathrm{.}4,0\mathrm{.}31],[0\mathrm{.}250,1,0,0\mathrm{.}56,1\mathrm{.}2,0\mathrm{.}37],[0\mathrm{.}500,1,0,0\mathrm{.}56,1\mathrm{.}0,0\mathrm{.}44]]$

Table $2.$

$\backslash$table$[[$Principal dimensions $($mm$),$Basic load

ratings $($N$),$Designation$],[$d$,$D$,$B$,$C$,C_0$