Bnding Moment diagram with one/two support/s?

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Discussion Overview

The discussion revolves around how to draw a bending moment (BM) diagram for a beam with two supports, where only one support is in contact with the beam. Participants explore the implications of this configuration on the bending moment calculations and the validity of the diagram.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant describes their scenario involving a beam with two supports, seeking guidance on drawing the BM diagram.
  • Another participant suggests conceptualizing the beam as a see-saw and proposes inverting it to clarify the load and support dynamics.
  • A later reply explains that the bending moment diagram represents the variation of bending moment along the beam, emphasizing the need to calculate moments at different sections.
  • This reply also notes that without the second support, the beam behaves as a mechanism, rendering the BM diagram less meaningful, as the moments on either side of a section will not match.

Areas of Agreement / Disagreement

Participants express differing views on the validity of the BM diagram in the absence of a second support, with some suggesting alternative approaches while others highlight the limitations of the current configuration.

Contextual Notes

Participants acknowledge that the bending moment calculations depend on the presence of supports and that the absence of one creates a mechanism, complicating the analysis.

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I have drawn a beam that I have made up that has two supports on it but only one is in contact with the beam. how would I go about drawing a BM diagram for this beam? The BM diagram has to show the values at (from left to right) the first support, the first dotted line, the second support and the second dotted line.

Any help apreciated

Thnx

Ash
 

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Your beam is called a see-saw.

Try forgetting the disconnected support and inverting the beam, so the loads and supports are interchanged.

Does this help?
 
yea thanx. Ill use this to give it a go. Ill let u know if I crack it and mabe post what I get as my answer up. Hopefuly tho ill of done it correct :D

At least I know what it is now, never done anythin like this one befor. Thnx for the help.
 
The bending moment diagram is a graph showing the variation of bending moment along the beam. To draw it, you could calculate the bending moment at different sections of the beam, and then plotting their values, using the beam itself as a base line. One definition of the bm at a section is: the algebraic sum of the moments on one side of that section. As there are two sides to every section, you will have an automatic check on the bending moment at that section. We can call these ML and MR. They should be exactly the same if everything is in order and sign conventions applied correctly. In your case, you will go round and round, unable to get ML to be the same as MR. Why is that? Because, until you connect the beam with its second support, you have a mechanism, for which the BM diagram is a bit pointless.
 

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