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Indeterminate and determinate beam analysis

  1. Aug 11, 2013 #1
    1. The problem statement, all variables and given/known data

    Reproduce the diagram of the beam shown in Figure, and indicate where you would add conceptual pins to convert this to a corresponding determinate beam to allow approximate analysis of the beam.

    Using approximate analysis, draw a neat and labelled Bending Moment Diagram showing all critical values for the beam member shown in Figure. Include all the working.



    2. Relevant equations

    WL^2/2 ,

    3. The attempt at a solution

    I have analysis and seen that the pins should be placed 1m on the inside of the two rollers as it will make the beam determinate, how ever very stuck on the analysis of the beam. I am assuming that super-positioning is the correct method for analysis the beam. I have done the bending moment equation to find the max (WL^2.2 +PL) however how do I analysis the whole beam? Am I meant to split each section of the beam up into each part (e.g. the member in the middle would be 7*5^2/2 +15*2.5).

    Any assistance would be great.
    Thanks
     

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  3. Aug 13, 2013 #2

    PhanthomJay

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    would not you have conceptual pins at counterflexure (zero moment) points on both sides of the ineterior 2 supports? How did you determine the location of the concepual pins you chose?
     
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