Problem $(100$ points$)$ For Example $3-1$ in your textbook, the reactions on the two shafts are given as:

$F=320l{b}_f,N=116\mathrm{.}5l{b}_f,T_0=480l{b}_f*in$

$R_{Ay}=R_{Cy}=192l{b}_f,R_{Az}=R_{Cz}=69\mathrm{.}9l{b}_f$

$R_{By}=R_{Dy}=128l{b}_f,R_{Bz}=R_{Dz}=46\mathrm{.}6l{b}_f$

Using static failure theories $($DE$,$ MSS$)$ and AISI $4140$ steel $($Q&T $600F)$ determine a suitable shaft diameter for each shaft and the corresponding safety factor. Use a design factor of $1\mathrm{.}5.$

$($a$)$ Draw shear and bending diagrams for each shaft in the XZ plane. Provide axis labels and units. $(20$ p$)$

$q,$

$($b$)$ Draw shear and bending diagrams for each shaft in the XY plane. Provide axis labels and units. $(20$ p$)$

$($Shaft CD$)$

$($c$)$ Draw torque diagrams for each shaft. Provide axis labels and units. $(10$ p$)$

$($Shaft CD$)$

$($d$)$ Determine critical section of the shafts and the internal reactions in that section. $($See Example $3-3$ to see how to deal with situations when you have bending moments in $2$ planes.$)(15p)$

$($Shaft AB$)$

$($Shaft CD$)$

$($e$)$ Apply failure theories and design factor $(1\mathrm{.}5)$ to get a suitable shaft diameter for each shaft. $(20$p$)$

$($Shaft AB$)$

$($Shaft CD$)$

$($f$)$ Choose a preferred size and determine corresponding safety factor for each shaft. $(15$p$)$

$($Shaft AB$)$

$($Shaft CD$)$

Problem $(100$ points$)$ For Example $3-1$ in your textbook, the reactions on the two shafts are given as:

$F=320l{b}_f,N=116\mathrm{.}5l{b}_f,T_0=480l{b}_f*in$

$R_{Ay}=R_{Cy}=192l{b}_f,R_{Az}=R_{Cz}=69\mathrm{.}9l{b}_f$

$R_{By}=R_{Dy}=128l{b}_f,R_{Bz}=R_{Dz}=46\mathrm{.}6l{b}_f$

Using static failure theories $($DE$,$ MSS$)$ and AISI $4140$ steel $($Q&T $600F)$ determine a suitable shaft diameter for each shaft and the corresponding safety factor. Use a design factor of $1\mathrm{.}5.$

$($a$)$ Draw shear and bending diagrams for each shaft in the XZ plane. Provide axis labels and units. $(20$ p$)$

$($b$)$ Draw shear and bending diagrams for each shaft in the XY plane. Provide axis labels and units. $(20$ p$)$

$($Shaft CD$)$

$($c$)$ Draw torque diagrams for each shaft. Provide axis Iavers anu unis. $($iv p$)$

$($Shaft AB$)$

$($Shaft CD$)$