Questions $12-27$ A simplified version of Norton text problem $10-6.$ The design is shown in Figure P$10-3$ using the data from row $($a$)$ assigned in Table P$10-1.$ Assume a shaft diameter of $1\mathrm{.}75$ in$.$ The shaft is steel of Sut $=108k$ and $Sy=62k.$ The key is steel of Sut $=88k$ and $Sy=52$ kpsi $,$ with the surface finish machined.

Use ANSI standard in Table $10-2$ to determine key width and height.

Assume key length $L=0\mathrm{.}625in,$ determine the fatigue safety factor for shear using Goodman Case $3.$ The design goal is infinite life with $90\%$ reliability at room temperature. Use A$95$ method to calculate Csize. For the same key length, determine the static safety factor for bearing.

Shaft Design for Problems $10-6,10-9,10-11,$ and $10-12($A Solidworks model of this is on the CD$)$

$(3$ points$)$ What is the width of the key in inches?

$(3$ points$)$ What is the height of the key in inches?

$(3$ points$)$ What is the size factor, $C_{\text{s}\text{i}\text{z}\text{e}}?$

$(3$ points$)$ What is the load factor, $C_{\text{l}\text{o}\text{a}\text{d}}?$

$(3$ points$)$ What is the surfacr factor, $C_{\text{s}\text{u}\text{r}\text{f}}?$

$(3$ points$)$ What is the temperature factor, $C_{\text{t}\text{e}\text{m}\text{p}}?$

$(3$ points$)$ What is the unmodified endurance limit$,S_e^{\text{'}},$ in of units of kpsi?

$(3$ points$)$ What is the modified endurance limit$,S_e,$ in of units of kpsi?

$(3$ points$)$ What is the alternating force $F_a$ in lbf$?$

$(3$ points$)$ What is the mean force $F_m$ in lbf$?$

$(3$ points$)$ What is the alternating shear stress ${}_a$ in psi?

$(3$ points$)$ What is the mean shear stress ${}_m$ in psi?

$(3$ points$)$ What is the mean alternating stress ${}_a^{\text{'}}$ in psi?

$(3$ points$)$ What is the mean stress ${}_m^{\text{'}}$ in psi?

$(3$ points$)$ What is the safety factor in fatigue?

$(4$ points$)$ What is the safety factor in yielding?