Analyzing a Truss with Excel: Solving the Matrix Problem

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SUMMARY

This discussion focuses on analyzing a truss using Excel, specifically addressing the challenges of computing the inverse of a force matrix. The user has encountered issues with a non-singular matrix due to zero support forces and is receiving errors when inputting external forces. The instructor provided a spreadsheet with a summation formula for forces at each joint, which the user is hesitant to modify. The solution involves either calculating reaction components manually to include in matrix B or adding additional members to represent these forces.

PREREQUISITES
  • Understanding of truss analysis principles
  • Proficiency in Microsoft Excel, particularly with matrix operations
  • Knowledge of static equilibrium equations
  • Familiarity with matrix algebra and inverse calculations
NEXT STEPS
  • Learn how to compute matrix inverses in Excel using the MINVERSE function
  • Research methods for calculating reaction forces in static systems
  • Explore how to set up and manipulate matrices in Excel for structural analysis
  • Study the implications of singular matrices in engineering calculations
USEFUL FOR

This discussion is beneficial for civil and structural engineers, students in engineering courses focusing on statics and dynamics, and anyone utilizing Excel for structural analysis tasks.

sandbanana
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Homework Statement



I have a simple truss to analyze using excel. I have done this and know how to do it on pen and paper using one equation to eliminate variables in another until down the line an answer pops out and I go back in and solve for all the other variables.

However, this time we have to use excel and it involves creating a matrix of the forces and computing its inverse. But the matrix I have as of now is not singular as the 3 columns for the support forces are all at zero. When I input the forces from the external analysis I get a bunch of #####. My instructor gave us the spreadsheet to use and this is the only section which we has any formula put in so I do not want to mess with it. The formula he put in is a summation of the components in x and y for each member at each joint. They should add up to zero, and they do. THe problem is when I get to the external forces as I am unclear how to include them in this table.

I tried to insert a table showing the numbers but it just comes up as the code I put it in. So I attached it as a text file. Hopefully it works.

Hmm, I am sure I have left a lot of unanswered questions about what exactly I am trying to do. Please let me know how I can help to make this more understandable.
 

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Either you must include the reaction components in the set of applied loads by calculating them by hand and inserting them in matrix B, or you could include 3 additional members representing the reaction components at A and at E. The working you give doesn't seem to 'know' where the reaction forces are, as an input, although it is looking for an output.
 

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