Find Eqv force and couple at point

In summary, the conversation is about a problem in solid mechanics involving statics. The problem involves a cantilever beam and requires the sum of forces and moments to be zero. The individual is stuck on figuring out how to move two unknown forces into a couple and another force, and is seeking tips on how to approach the problem. The solution involves breaking up one of the forces into its components and using the equations of equilibrium to solve for the unknown forces and moment.
  • #1
Ru2001
1
0
Hey everyone, I'm really stuck on a review of statics for Solid Mechanics. I got through everything but this problem. I know there has to be two forces at point a if it's attached to the wall(Ax,Ay). I would say I'm stuck trying to figure out how I can move two forces that are unkown into a couple and another force... If I don't know the original value how is that possible?

Any tips to jog my memory in the right direction?
Problem below with pic.
 

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  • #2
This is a cantilever beam problem, and it is also statics problem, so the sum of forces (in x-horizontal, y-vertical) and moments is zero.

If one has 3 equations and one should have 3 unknows.
 
  • #3
Just break up F2 into its x and y components, and use the 3 equilibrium equations to solve for Ax, Ay, and the Moment (couple) reactions at A. Since numerical values for F1 and F2 are not given, the solution will be a function of F1 and F2.
 

Related to Find Eqv force and couple at point

1. What is meant by "Find Eqv force and couple at point"?

"Find Eqv force and couple at point" refers to determining the equivalent force and couple acting at a specific point on a body or system. This is typically done as a part of analyzing the overall forces and moments acting on the body.

2. How is the equivalent force and couple calculated?

The equivalent force and couple can be calculated by breaking down all the external forces and moments acting on a body or system into their respective components, and then using mathematical equations to determine the resultant force and moment at the specific point of interest.

3. What are the applications of finding the equivalent force and couple at a point?

Knowing the equivalent force and couple at a point is important in engineering and physics, as it helps in understanding the overall forces and moments acting on a body. This information can be used to design structures or machines that can withstand or counteract these forces and moments.

4. Can the equivalent force and couple be found for any point on a body?

Yes, the equivalent force and couple can be calculated for any point on a body, as long as the external forces and moments acting on the body are known. However, the point of interest must be clearly defined and the calculations must take into account all the forces and moments acting on that point.

5. How is the equivalent force and couple used in real-world scenarios?

The concept of equivalent force and couple is used in various real-world scenarios, such as designing structures to withstand forces and moments, analyzing the stability of objects, and understanding the effects of external forces on a system. It is also used in fields like biomechanics to study the forces acting on the human body.

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