please answer this thanks! The shaft below is for a helical gear shaft. Please keep your solution as a template The shaft system.

Note that the forces on FBD must be at the true direction to ensure correct T$,$ V and M diagrams

$($c$)$

for project calculations. The two keyways are plot at the same view for simplicity. The force, $F,$

on the gear has three components: the radial, axial and the tangential loads, $F_r=1600N,F_a=600$

N $,$ and $F_t=2650N.$ The assembly with major elements is shown in the next page $($only the top

halves of the elements are shown for simplicity$).$ Use the section modulus equations in Appendix

$3$ for the cross sections containing a keyway. No need to consider the tolerances indicated by the

question marks in the analysis. Please:

a$)$ Given that the width of the coupling is $48$ mm $,$ the width of each bearing is $16$ mm $($although

the effective shaft length is $15$ mm $),$ the width of the gear is $26$ mm $,$ determine the lengths of

$a,b,$ and c $,$ which will be used in the force and stress analyses. Assume that each force is

applied at the center of the width of each element.

b$)$ Determine the bearing reactions at B and D $,$ assuming bearing D takes the axial load. Draw the

free$-$body diagram $($FBD$)$ of the shaft $($which is now treated as a bar with all diameters

neglected$)$ to show all forces $($including torques$/$moments$).$

c$)$ Plot the shear force and bending moment diagrams in the $xz$ and $xy$ planes. Properly label the

diagrams and indicate peak values. Note, the torque produced by the tangential component of

the force is balanced by the torque from the coupling. The resultant bending moment should

be obtained from the vector summation of the two moments in the $xy$ and $xz$ planes.

d$)$ The shaft is rotating but the forces are constant. Please calculate the midrange and amplitude

of von Mises stresses at most critical point in cross sections C$-,$ consider the stresses due to

bending and torsion. $K_f=2\mathrm{.}0$ and $K_{ft}=2\mathrm{.}5.$ You can analyze cross section A yourselves.

e$)$ You may still use the circular cross section for section modulus $W$ and $\frac{J}{c}$ calculations, but

you need to reduce the diameter by about $3\%.$ Please repeat d$)$ by using this method.

For simplicity, you may ignore the transverse shear stress.