Finite Element analysis: Free body diagram help

[fire_fist_ace]

Homework Statement

Hey guys, my problem is not really the end solution, but the preliminary step that I'm not too sure about. Given the following diagram:

The image on the left is the given model, and the right image is my nodal element FBD, but somehow i don't believe that's correct. Can you guys help me out with this?

The Attempt at a Solution

The question asks to derive the spring constants for the model, but to do that i need to get the diagram above correct.

Any help you guys can provide is appreciated. Thanks!

 

[KataKoniK]

Hello, thank you for reaching out for assistance. I would suggest starting by clearly defining the problem and the given information. From the diagram, it appears that the model consists of a spring attached to a fixed point on one end and a mass on the other end, with a force acting on the mass.

To derive the spring constants, you will need to use the equations for Hooke's law and Newton's second law. Hooke's law states that the force exerted by a spring is directly proportional to its displacement from equilibrium. This can be expressed as F = -kx, where F is the force, k is the spring constant, and x is the displacement.

Next, use Newton's second law, which states that the net force on an object is equal to its mass times its acceleration. In this case, the net force is the sum of the spring force and the external force acting on the mass. This can be written as F_net = ma, where F_net is the net force, m is the mass, and a is the acceleration.

To solve for the spring constant, you will need to set these equations equal to each other and solve for k. Keep in mind that the displacement x and the acceleration a may have different values depending on the direction of the forces.

I hope this helps guide you in the right direction. If you need further assistance, please provide more information about the problem and your attempts at a solution. Good luck!