Read carefully and solve the problem shown below.

Problem $1)$ A cantilever shaft has two sections $D=1\mathrm{.}75in,$ with $L_d=3$ in and $d=1\mathrm{.}25$ in with $L_d=7$ in also a notch $=0\mathrm{.}0468in,$ which is subjected to a fluctuating load $F_A=120lbf$ and $F_B=-68lbf.$ The material is steel AISI $1045HR,Su=86$ksi,$Sy=45$ksi and $S^{\text{'}}e=36$ksi. For the dimenssion shown in the figure. Determine by mean of Soderberg'S criterion:

a$)$ The maximum stress.

b$)$ The minimum stress.

c$)$ The mean stress.

d$)$ The amplitude stress.

e$)$ The safety factor.

f$)$ The life.

A: Static Structural Static Structural Time: $1\mathrm{.}501/06/1610$:$45$

A Force: $120.$ lbf

B Force $2$: $68.$ lbf C Fixed Support