Find the average shear stress at each pin

AI Thread Summary
The discussion revolves around calculating the average shear stress at each pin in a structural problem. The initial calculations for forces at points A and BC were deemed incorrect, with the correct force at BC identified as 165 kN. The area used for calculations was confirmed to be 508.94 mm². Participants highlighted the need to clarify the forces acting on each pin to accurately compute shear stress, which is expected to be uniform across all pins. The correct average shear stress at each pin is noted to be 324 MPa.
ptguard1
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Homework Statement



View image for all details

Homework Equations



tao = V/A

The Attempt at a Solution



I went ahead and solved the force at BC and the x and y components at A, but I feel as though my solutions are incorrect. At BC I have F = 825 kN (up and to the left), A_x = 714.5 kN positive, A_y = 247.5 kN downward. I don't know how to solve the pins from here. The correct answer at each pin is 324MPa. I found the area to be 508.94mm^2 but am unable to find what force is pulling on each pin.
 

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ptguard1: Your area is correct. Your reaction forces are currently incorrect. If you want to show your work, someone might check your math.
 
I recalculated my solutions and found my mistake. F at BC = 165 kN (up and to the right), A_x = 142.89 kN to the right, A_y = 82.5 kN up. The issue I'm having is solving for the shear stress in the pins. I don't understand why all of the pins would have the same result.

For the pin at A, I interpret it as shown in the attached image

I used the equation A_x/Area, but i know that I need the force to be 165kN
 

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