please answer all parts and explain fully, this is for study purposes so concepts matter. thank you!!!

$(25)$ A plate with changing cross$-$section connected by a fillet is made of a ductile material. The

plate has maximum width of D$=31\mathrm{.}5$mm$,$ minimum width of d$=30$mm$.$ fillet radius of curvature

r$=3\mathrm{.}0$mm$,$ and thickness t$=2$mm as shown in Fig. P$2.$ The member is made of $6061-$T$6$

please answer all parts and explain fully, this is for study purposes so concepts matter. thank you!!!

aluminum. All material properties can be found on the reference sheet.

For parts a$-$c$,$ determine the associated calculated stress concentration factor$($s$)($Remember$,$ the

variable K is the same as S$\_($cc$))$ for the given shaft shown in Figure P$2$ using a Figures D$.1$ and D$.2$

from the reference sheet. In each instance, show:

a$.$ Show the calculations and values required to use the graphs in Figures D$.1$ and D$\mathrm{.}2.$

b$.$ Determine the stress concentration for a load P$.$

c$.$ Determine the stress concentration for a moment M$.$

d$.$ Determine the non$-$zero nominal stress components at the minimum cross section when

the applied loads are P$=1000$N and M$=30$N$*$m$.$

e$.$ Mark the location$($s$)$ of maximum stress with an X on Fig. P$2.$

f$.$ Determine the current state of stress at the location of the stress concentration and express

it in matrix form. Use the given coordinate system on Figure P$2.$ Note: Calculate the stress

values using the stress concentration factors.

g$.$ Calculate the safety factor against yielding.

Fig. P$2.$ Ductie plate with changing width connected by a fillet.