Finding Unknown Forces on a Beam Structure

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To find the unknown forces on the beam for FEA analysis, it's essential to apply the equilibrium equations: ∑mz=0, ∑fx=0, and ∑fy=0. The y dimensions of the forces are crucial for calculating moments, which are affected by their positions relative to the beam. Summing moments about a specific point, preferably one of the forces, can simplify calculations and clarify the direction of moments. The weight resultant acts at the midpoint of the beam, so accurate distance measurements are necessary for moment calculations. Properly identifying the moments created by the horizontal components of the forces is key to solving the problem.
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Homework Statement



I've been trying to find the unknown forces for this beam so I can complete an FEA analysis.

Homework Equations


∑mz=0, ∑fx=0,∑fy=0

The Attempt at a Solution


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surely the horizontal components of F1 and F2 contribute to the moments about A. But you don't give the y dimension location of those forces below the main beam, so you can't calculate those moments.
 
The y dimensions are 5mm and 15mm. Although using this I am still having trouble.
 
You can continue the way you started by summing moments about any point...sum of .clockwise moments equals sum of anti clockwise moments...and be sure to include the moments from the x component of the forces. It is best to sum moments about one of the forces to reduce calculation effort. Your dimensions horizontally are not clear..is it 20 mm right. to the application of the first force and 10 mm left to the last force? All forces are applied at the shown points on the frame. Don't forget the weight resultant acts at midpoint of beam, so be sure to get the correct distance of it to the point you are summing moments about. I suggest summing moments about the left force. Now for example what is the moment about that point from the horizontal component of the last force? Is it clockwise or anti clockwise?
 

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