Force analysis using a large matrix.

In summary, the conversation discusses performing analysis on a simplified bridge structure with varying wind load and a constant center of gravity. The goal is to obtain reaction and internal forces by solving a matrix equation and performing equilibrium analysis on each joint. The matrix data may be difficult to post without using proper coding tags.
  • #1
KaliBanda
4
0

Homework Statement



Perform analysis over the simplified bridge structure shown. F_1 is the wind load and F_2 is the combined center of gravity of all loadings on the bridge. You are told that F_2 is usually constant but F_1 can vary with time. Note that Members AB, BE, CE and CD are all of the same length.

image.jpg


Perform equilibrium analysis on each joint and show that the reaction forces and the internal forces can be obtained by solving the following matrix equation.

image.jpg


I tried copying and pasting the matrix data, but it didn't come out nicely.

Homework Equations





The Attempt at a Solution



Yet to attempt anything as I'm not sure how to. Also the gigantic matrix is quite intimidating. It's been some time since learning matrix mathematics and I don't recall a whole lot of it.
 
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  • #2
If you want your matrix data to come out unskewed, try posting it using [/CODE] tags:

Code: 
27.56   39.46   57.20
33.29   27.80   99.60
22.10   45.54   69.60

If you can't post your problem or your attempt at a solution, there's not much we can do to help.
 

Related to Force analysis using a large matrix.

1. What is force analysis using a large matrix?

Force analysis using a large matrix is a method used in engineering and physics to analyze the forces acting on an object or system. It involves creating a matrix, or grid, of equations that represent the forces and their relationships, and then solving the matrix to determine the overall forces and their effects.

2. Why is force analysis using a large matrix important?

Force analysis using a large matrix allows for a more comprehensive and accurate understanding of the forces at play in a system. It can help engineers and scientists design and optimize structures, predict the behavior of objects, and identify potential weaknesses or areas for improvement.

3. What types of problems can be solved using force analysis with a large matrix?

Force analysis using a large matrix can be applied to a wide range of problems, including structural analysis, mechanical systems, electrical circuits, and fluid dynamics. It can also be used in fields such as aerospace engineering, civil engineering, and biomechanics.

4. What are the steps involved in conducting force analysis using a large matrix?

The first step is to identify all the forces acting on the system and their direction and magnitude. Then, these forces are represented as equations in a matrix. The matrix is then solved using mathematical techniques such as Gaussian elimination or matrix inversion to determine the unknown forces and their effects on the system.

5. Are there any limitations to force analysis using a large matrix?

While force analysis using a large matrix is a powerful and versatile tool, it does have some limitations. It may not be suitable for highly complex or nonlinear systems, and it relies on accurate input data and assumptions. Additionally, the computational complexity increases with the size of the matrix, making it more time-consuming for larger systems.

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