$($x$11)$

Problem $1(30$ points$).$ For the given truss structure below:

$($a$)$ points$]$ Determine the reactions and their directions.

$($b$)[20$ points$]$ Determine the forces, $F_{BC}$ and $F_{BD}.$ Specify whether the member is in tension or compression.

$$

Answers

$(a)R_{Ay}=53k^2(direction$: darr $)No$ procedure

$$o No procedure

$R_{Dy}=93\mathrm{.}33K(direction$: $T^V)$

$($b$)F_{BC}=92\mathrm{.}091($K$)($Tention$)$

$(-10)$

No procedure

$$

$+{\displaystyle \underset{?}{\overset{?}{}}}{\displaystyle \underset{?}{\overset{?}{}}}{M}_A=0$;$,40sin(26\mathrm{.}6)=F_{BC}$

$R_D(15)-40(35)$

$R_D=93\mathrm{.}333K$

larr $F_x=0,$

$-20+F_{BC}cos(2c\mathrm{.}6)$

$F_{BC}=22\mathrm{.}3675$larr

$+$uarr${\displaystyle \underset{?}{\overset{?}{}}}{F}_y=-40+F_{BC}sin(26\mathrm{.}6)=0$

$2F_{BC}=\frac{89\mathrm{.}33\text{u}\text{a}\text{r}\text{r}}{?}$

$|F_{BC}|=92\mathrm{.}0914?$