Question F5.14: Determine the horizontal and vertical components of reaction......

Determine the horizontal and vertical components of reaction at pin C.

5.14
Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.

⤹ +\Sigma M_{C}=0;

\begin{aligned} & -\left(\frac{4}{5}\right)\left(F_{A B}\right)(9)+400(6)+500(3)=0 \\ & F_{A B}=541.67  \mathrm{lb} \\ & \stackrel{+}{\rightarrow} F_{x}=0 ;-C_{x}+\frac{3}{5}(541.67)=0 \\ & C_{x}=325  \mathrm{lb} \\ & +\uparrow\Sigma F_{y}=0;C_{x}+{\textstyle{\frac{4}{5}}}\left(541.67\right)-400-500=0 \\& C_{y}=467  \mathrm{lb} \end{aligned}

Related Answered Questions

Question: F5.16

Verified Answer:

⤹ +\Sigma M_{C}=0; \begin{...
Question: F5.15

Verified Answer:

⤹ +\Sigma M_{A}=0 ; 100 \mathrm{~N}(250 \m...
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_...