The rod is supported by a ball-and-socket joint A and cables BD and CD. Suppose that w = 450 N/m .

You are watching: Determine the components of reaction at the ball-and-socket joint a using scalar notation.

Determine the components of reaction at the ball-and-socket joint A using scalar notation.

Determine the tension in the supporting cable DB.

I started by finding the unit vectors of the cables:

F(DB)=F(-.2857i-.4285j+.857k)

F(DC)=F(-.2857i+.4285j+.857k)

The area marked w is a simple distributed load so I multiplied 450*3m=1.35kN

I have a feeling that I am supposed to find the sum of Forces, but how do I deal with the distributed load force?

I apologize for posting 2 questions in one night, but I just want to go to sleep.


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level 1
· 2y
The distributed load acts in the centroid of the area. So in this case it would be a direct load 1.5m from the end of the beam. It is treated as any other force from there.


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level 2
OP · 2y

Okay, I got the force as 450 N/m*1.5=675N, 1.5 m from the end. Then, am I supposed to find the unit vector of the load from A?


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level 1
· 2y

The force of the distributed load is 450N/m * 3m. The force acts at the centroid of the area. So the force would be 1350N acting at a point 1.5 m from the end of the beam.

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