$(18$ points$)$ Difficulty $(\frac{4}{5})$

Given the truss shown, loaded and dimensioned with the values given here:

$\left[\begin{array}{ccc}a& F_1& F_3=1980lb\\ b=6\mathrm{.}3ft& F_2=1960lb& F_4=940lb\\ c=8ft& ?& ?\end{array}\right]=8ft=940lb=1960lb=6\mathrm{.}3ft=1980lb=900lb=8ft=940lb=1960lb=6\mathrm{.}3ft=1980lb=900lb=4\mathrm{.}6ft$

Find the following, assuming the truss does not deform out$-$of$-$plane:

$($a$)$ The reaction forces at the supports.

$($b$)$ The forces carried in each member.

$($c$)$ The minimum required diameter of the tension members, assuming the members have circular cross$-$sections and are composed of a material that has an allowable stress of $17$ ksi. $($Enter NA for compressive members$)$

$($a$)$

Reactions: $$

$($ff the support applies an upward or rightward force on the structure, enter a positive value, otherwise enter a negative value.$)$

$($b$),($c$),$ and $($d$)$

Members:

$($Denote tensile forces with positive values and compressive forces with negative values. Enter NA for the diameters and changes in length of compressive and zero$-$force members.$)$

$\backslash$table$[[$Member$,$Force,$\backslash$table$[[$Required$],[$Diameter$]],\backslash$table$[[$Change In$],[$Length$]]],[AB,,,],[BC,,,],[CD,,,],[DE,,,],[GH,,,],[HI,,,],[$UJ$,,,],[BJ,,,],[CJ,,,],[CH,,,],[DH,,,],[BH,,,]]$

be sure to include units with your answers