Finding Unknown Forces on a Beam Structure

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Discussion Overview

The discussion revolves around finding unknown forces acting on a beam structure as part of a finite element analysis (FEA). Participants are addressing the calculations necessary to determine these forces, including the application of equilibrium equations and the summation of moments.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant states they are attempting to find unknown forces on a beam for FEA and provides equilibrium equations for the analysis.
  • Another participant points out that the horizontal components of forces contribute to moments about a specific point but notes the lack of y-dimension information for those forces, which is necessary for calculating moments.
  • A participant clarifies the y-dimensions of the forces as 5mm and 15mm but indicates they are still encountering difficulties in their calculations.
  • Another reply suggests continuing with the initial approach of summing moments about any point and emphasizes the importance of including moments from the x components of the forces. They also question the clarity of the horizontal dimensions and suggest summing moments about one of the forces to simplify calculations.
  • There is a mention of the weight resultant acting at the midpoint of the beam, which should be considered when determining distances for moment calculations.
  • A participant asks for clarification on the direction of the moment created by the horizontal component of the last force when summed about a specific point.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the approach to calculating the unknown forces and moments. There is no consensus on the best method to proceed, and participants are providing differing suggestions and clarifications.

Contextual Notes

Participants have noted limitations in the provided dimensions and the need for clearer definitions of the forces' locations. There are unresolved aspects regarding the calculations and the specific distances involved in the moment summation.

thomassmith235
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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


Attempt is attached
 

Attachments

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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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