Finding Unknown Forces on a Beam Structure

In summary, the individual is seeking to find the unknown forces for a beam in order to complete an FEA analysis. The equations used are the sum of moments in the z-direction and the sum of forces in the x and y directions. However, without knowing the y dimensions of the forces below the main beam, it is difficult to calculate the moments. The y dimensions are later provided as 5mm and 15mm, but the individual is still having trouble. It is suggested to continue summing moments about one of the forces to reduce calculation effort, with the dimensions horizontally being 20mm to the right of the first force and 10mm to the left of the last force. The weight resultant also needs to be taken into account
  • #1
thomassmith235
2
0

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
 

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  • #2
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.
 
  • #3
The y dimensions are 5mm and 15mm. Although using this I am still having trouble.
 
  • #4
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?
 

1. What is a beam structure?

A beam structure is a type of structural element that is designed to support heavy loads by resisting bending and shear forces. It is typically made of a long, narrow piece of material, such as steel or wood, that is supported at both ends.

2. Why is it important to find unknown forces on a beam structure?

Knowing the unknown forces on a beam structure is crucial for ensuring the structural integrity and safety of the overall structure. It allows engineers to determine if the beam can support the intended loads and if any reinforcements or adjustments are necessary.

3. How do scientists find unknown forces on a beam structure?

Scientists use various mathematical equations and principles, such as static equilibrium and the method of joints, to calculate the unknown forces on a beam structure. They also rely on advanced technologies, such as computer simulations and strain gauges, to accurately measure and analyze the forces.

4. What are some common factors that can affect the unknown forces on a beam structure?

Some common factors that can affect the unknown forces on a beam structure include the type and magnitude of the applied loads, the material properties of the beam, and the support conditions at the ends of the beam. Temperature changes, vibrations, and structural damage can also impact the forces.

5. Can unknown forces on a beam structure change over time?

Yes, the unknown forces on a beam structure can change over time due to various factors such as wear and tear, changes in the load, and environmental conditions. It is important for scientists to regularly monitor and reassess the forces to ensure the ongoing safety and stability of the structure.

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