Question F5.16: Determine the horizontal and vertical components of reaction......
Determine the horizontal and vertical components of reaction at pin C.
Step-by-Step
⤹ +\Sigma M_{C}=0;
\begin{aligned} & 400(2)+800-F_{B A}\left(\frac{3}{\sqrt{10}}\right)(1)-F_{B A}\left(\frac{1}{\sqrt{10}}\right)(3)=0 \\ & F_{B A}=843.27 \mathrm{~N} \\ & \stackrel{+}{\to } \Sigma F_{x}=0 ; C_{x}-843.27\left(\frac{3}{\sqrt{10}}\right)=0 \\ & C_{x}=800 \mathrm{~N} \\ & +\uparrow \Sigma F_{y}=0 ; C_{y}+843.27\left(\frac{1}{\sqrt{10}}\right)-400=0 \\ & C_{y}=133 \mathrm{~N} \end{aligned}
Related Answered Questions
Question: F5.15
Verified Answer:
⤹ +\Sigma M_{A}=0 ; 100 \mathrm{~N}(250 \m...
Question: F5.14
Verified Answer:
⤹ +\Sigma M_{C}=0;
\begin{...
Question: F5.13
Verified Answer:
+\uparrow \Sigma F_{y}=0 ; 3 P-60=0...
Question: F5.12
Verified Answer:
⤹ +\Sigma M_{H}=0;
\begin{...
Question: F5.11
Verified Answer:
From the geometry of the truss,
\theta=\tan...
Question: F5.10
Verified Answer:
From the geometry of the truss,
\begin{ali...
Question: F5.9
Verified Answer:
From the geometry of the truss,
\phi=\tan ^...
Question: F5.8
Verified Answer:
⤹ +\Sigma M_{A}=0 ; \quad G_{y}(12 \mathrm...
Question: F5.7
Verified Answer:
+\uparrow \Sigma F_{y}=0 ; F_{C F} \sin 45^...
Question: F5.6
Verified Answer:
Joint C.
+\uparrow \Sigma F_...