Please do part c$,$ and show all steps, thank you! The built$-$up wood beam below is subjected to the loading shown for which $P=2kN.$ Each nail, spaced $100mm$ on center, has a diameter of $4mm.$

a$)$ Plot the shear force diagram using the graphical method and identify the maximum$/$minimum shear stresses. $[$Ans$.$ to Check: $V_{\text{m}\text{a}\text{x}}=5kN]$

b$)$ Locate the neutral axis and compute the moment of inertia for the cross$-$section in $m{m}^4.[$Ans$.$ to Check: $I=5\mathrm{.}33{10}^{7}m{m}^4]$

c$)$ Calculate the first moment of area in $m{m}^3$ at two locations: $(1)$ the location of maximum shear stress and $(2)$ the connection interface. For each computation, draw a clear sketch of the crosssection showing the neutral axis and the necessary dimensions to calculate the first moment of area.

d$)$ Compute the maximum shear stress in the beam due to bending in MPa.

e$)$ Compute the shear flow occurring between the wood and the nails at the connection interface in $\frac{N}{m}m.[$Ans$.$ to Check: $q=30\frac{N}{m}m]$

f$)$ Design the section by calculating the required shear strength of the nails $($in N$).[$Ans$.$ to Check: $[$:$V_{\text{n}\text{a}\text{i}\text{l}}=1,500(N)$