Force analysis using a large matrix.

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SUMMARY

The discussion focuses on performing equilibrium analysis on a simplified bridge structure, specifically analyzing the effects of wind load (F_1) and the constant center of gravity (F_2). Participants emphasize the importance of solving a matrix equation to determine reaction forces and internal forces within the structure. A significant challenge noted is the intimidation posed by the large matrix data, which requires proper formatting for clarity. The use of [CODE] tags is recommended for posting matrix data effectively.

PREREQUISITES
  • Understanding of equilibrium analysis in structural engineering
  • Familiarity with matrix mathematics and operations
  • Knowledge of wind load calculations in bridge design
  • Experience with formatting data for clarity in online discussions
NEXT STEPS
  • Study matrix algebra applications in structural analysis
  • Research methods for performing equilibrium analysis on truss structures
  • Learn about wind load calculations using ASCE 7 standards
  • Explore effective data formatting techniques for online technical discussions
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing bridge structures and their load responses.

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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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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.
 

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