How Can I Find These Five Unknowns in Beam Analysis?

  • Context: Undergrad 
  • Thread starter Thread starter hmk999
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Discussion Overview

The discussion revolves around finding five unknowns in a beam analysis problem, specifically focusing on the mathematical methods to solve a system of equations derived from engineering principles. The scope includes mathematical reasoning and problem-solving techniques.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant, hmk999, seeks assistance in solving for five unknowns (C2, M, q1, q2, q3) after determining that C1 equals zero.
  • Another participant suggests that the equations are linear and can be solved using computer programs or by hand with the Gaussian algorithm, noting that the manual method may be complex.
  • A further reply expresses a desire to learn the manual solving process and requests guidance, indicating a preference for understanding the solution step-by-step.
  • One participant reiterates the suggestion to use Gaussian elimination and advises defining new symbols to simplify the expressions involved.

Areas of Agreement / Disagreement

Participants generally agree on the use of Gaussian elimination as a method to solve the equations, but there is no consensus on the best approach for hmk999, particularly regarding the desire to learn manual solving techniques versus using computational tools.

Contextual Notes

The discussion does not resolve the specific mathematical steps required to solve the equations, and there are indications of missing assumptions or definitions that could affect the approach taken.

Who May Find This Useful

Individuals interested in beam analysis, linear algebra, and those seeking to understand methods for solving systems of equations in engineering contexts may find this discussion beneficial.

hmk999
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https://skydrive.live.com/redir?resid=22F7BBABD7DEE83B!139&authkey=!AJNBw1fOd97ihTk

Can anyone please help me work out how to find these unknowns?

Basically I'm doing some beam analysis, I've done the engineering bit, now its the maths I've come stuck with.

I have created six equation and have six unknowns, equation 1 works out C1 to equal zero, so there are five more unknowns to find.

Not sure how to use simultaneous method or if I can just transpose. So the five remaining unknowns to find are C2,M,q1,q2,q3

Can anyone please show me how to do this it would be much appreciated.

Thanks
hmk999
 
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All equations are linear in your unknown parameters, so there are many computer programs which can solve this. Alternatively, solve it by hand (very messy) with the Gaussian algorithm or something similar.
 
I want to learn how to solve it by hand but not sure where to start? Is there any help or guidance you can give me. Even giving me the solution to one of the unknowns would help me to understand.
 
hmk999 said:
Is there any help or guidance you can give me.
I did that in my previous post :(.

To be more explicit: you can use Gaussian elimination.
It might be useful to define new symbols to shorten the expressions, otherwise the result will get very ugly.
 

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