Indeterminate and determinate beam analysis

In summary, the conversation discusses the reproduction of a beam diagram and the addition of conceptual pins to convert it to a determinate beam for approximate analysis. The process of drawing a bending moment diagram using approximate analysis and the use of superposition method is also mentioned. The conversation ends with a question about the analysis of the beam and the potential use of conceptual pins at counterflexure points.
  • #1
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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  • #2
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?
 

FAQ: Indeterminate and determinate beam analysis

What is the difference between indeterminate and determinate beam analysis?

Indeterminate beam analysis refers to the analysis of beams that have more unknown forces or reactions than the number of available equations. Determinate beam analysis, on the other hand, refers to the analysis of beams where the number of unknown forces or reactions is equal to the number of available equations.

How do you determine the reactions for an indeterminate beam?

To determine the reactions for an indeterminate beam, you must use additional equations such as the slope-deflection equations or the moment distribution method. These methods take into account the flexibility of the beam and provide the necessary equations to solve for the unknown reactions.

What are the advantages of using determinate beam analysis?

The main advantage of using determinate beam analysis is that it is simpler and can be solved using basic equations such as the equations of static equilibrium. This makes it a more efficient and straightforward method for analyzing beams.

Can you analyze any beam using the determinate beam analysis method?

No, not all beams can be analyzed using the determinate beam analysis method. Only beams with simple support conditions and loads can be analyzed using this method. Beams with more complex support conditions or loads require the use of indeterminate beam analysis methods.

What are the limitations of indeterminate beam analysis?

One limitation of indeterminate beam analysis is that it can be more time-consuming and complex compared to determinate beam analysis. Additionally, there is a possibility of obtaining multiple solutions or no solution at all, which can make the analysis more challenging.

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