Class Example $1.$

Show a Free Body Diagram for each joint, then

Determine the forces in each member.

$($Ans: $F_{BC}=707N,F_{BA}=500N,F_{CA}=500N)$

$\frac{P_{n}B}{{\displaystyle \underset{?}{\overset{?}{}}}{F}_x}=500N-cos(45)F_{BC}=\frac{500(N)}{cos45}={70}^{-}$

${}_y=0=sin(45)*F_{BC}-F_{B{A}^{\text{'}\text{'}}}{F}_{BA}=sin45*70$

Pine

$\frac{\text{P}\text{i}\text{n}\text{c}}{{}_x}=0=-F_{AC}+cos(45)*107=500(N)$