Problem Spring Cart System Numerical - Finite Element Analysis

TL;DR

This video explains how to solve a spring cart system problem using finite element analysis.

Transcript

so hello and welcome back to the video series of finite element analysis i am bavik soneji and today we are going to solve a problem based on a card system spring cart system so let's get started so in the previous video we have solved one numerical based on the stepped bar so we will solve the today spring cut system problem in the same manner as ... Read More

Key Insights

• 🤸 The problem involves solving a spring cart system using finite element analysis.
• 🥶 The solution requires converting the problem into a free body diagram and calculating stiffness element matrices.
• 🌐 The global stiffness matrix is obtained by combining the individual element matrices.
• ❓ The displacement and reaction forces can be found by solving the equations using elimination method.
• 0️⃣ The first node is fixed, so its displacement is zero.
• ❓ The values of displacement for the other nodes can be calculated using the solved equations.
• 🤨 The reaction force is determined by multiplying the first row of the stiffness matrix with the displacement vector.

Questions & Answers

Q: What is the problem statement in the spring cart system problem?

The problem involves an assembly of four springs with a force applied at one end, and the goal is to find the deflection or displacement of each spring.

Q: How is the force applied in the spring cart system problem?

The force is applied at node number three in the assembly.

Q: What are the given data in the problem?

The given data includes the stiffness values of each spring (4 N/mm, 8 N/mm, 10 N/mm, and 20 N/mm) and the force applied at node number three (1000 N).

Q: What are the steps involved in solving the spring cart system problem?

The steps include converting the problem into a free body diagram, calculating the stiffness element matrix for each element, combining them into a global stiffness matrix, and solving for the displacement and reaction forces.

Summary & Key Takeaways

• The video discusses the steps involved in solving a spring cart system problem using finite element analysis.

• The problem involves four different springs connected in an assembly, with a force applied at one end.

• The solution requires converting the problem into a free body diagram, calculating stiffness element matrices for each element, and combining them into a global stiffness matrix.