Indeterminate and determinate beam analysis

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SUMMARY

The discussion focuses on the analysis of indeterminate and determinate beams, specifically addressing the placement of conceptual pins to convert an indeterminate beam into a determinate one for approximate analysis. The user suggests placing pins 1 meter inside the two rollers to achieve this. The conversation also touches on using superposition for analysis and calculating bending moments, with the user seeking clarification on whether to segment the beam for detailed analysis.

PREREQUISITES
  • Understanding of beam theory and structural analysis
  • Familiarity with bending moment equations, specifically WL^2/2
  • Knowledge of superposition principles in structural analysis
  • Experience with drawing Bending Moment Diagrams
NEXT STEPS
  • Study the principles of converting indeterminate beams to determinate beams
  • Learn how to accurately place conceptual pins at counterflexure points
  • Research detailed methods for calculating bending moments in segmented beams
  • Explore advanced techniques in structural analysis, such as the moment distribution method
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in beam analysis and design will benefit from this discussion.

wilson11
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Homework Statement



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.



Homework Equations



WL^2/2 ,

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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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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