Statically indeterminate beam question

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Discussion Overview

The discussion revolves around solving a statically indeterminate beam problem using the superposition method. Participants are exploring the calculation of deflections, particularly at a specific point on the beam, and the challenges posed by distributed loads that do not cover the entire beam.

Discussion Character

  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in obtaining the correct answer using the superposition method and seeks assistance.
  • Another participant provides specific numerical answers for reactions and moments but does not clarify how these were derived.
  • A participant suggests that fictitious forces may need to be added to complete the problem using superposition and requests to see the original poster's working steps.
  • One participant states that the deflection at point A should equal zero but is uncertain about calculating deflection due to a distributed load that only partially affects the beam.
  • A participant questions the applicability of the provided deflection equations for beams with distributed loads not covering the entire span.
  • Another participant indicates uncertainty about how to calculate deflection at point A due to the specific load configuration presented in a sketch.
  • One participant notes that superposition alone may not be sufficient and suggests that additional examples could be helpful.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the method for calculating deflections, with multiple competing views on the use of superposition and the handling of distributed loads. The discussion remains unresolved.

Contextual Notes

There are limitations regarding the assumptions made about the beam methods covered by participants, as well as the specific conditions under which the deflection equations apply. The discussion also reflects uncertainty about the necessary steps to solve the problem fully.

georgeburton
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I have been trying to solve this question using the superposition method, but cannot seem to get the correct answer. Can anyone help?
Question & formulae are attached.
Cheers, G
 
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here are the files
the answers are;
Ra=0.33 kN
Rc=2.67 kN
Mc=-1.27 kN
Mb=0.49 kN
 

Attachments

  • Screen Shot 2011-12-23 at 20.03.51.jpg
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  • Formulae table.jpg
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Seems a simple enough propped cantilever.

Do you realize you have to add some ficticious forces (loads) to complete this by superposition? If you do this all the necessary parts are tabulated in your second picture.

You need to show us some of your own working (even if wrong) before we can help further.
 
To solve this, i would state that the deflection of the beam at A equals 0.
I am just unsure how to calculate the deflection due to the distributed load using the table. This is because the table doesn't offer any deflection equations for beams that have distributed loads on only parts of the beam rather than all of it.

If the distributed load was on the first half of the beam i would have no difficulty solving it. It's just that the point i am trying to calculate deflection for (i.e. point A) does not lie within the distributed load.

Any advice?
 
Does this sketch help?
 

Attachments

  • gbeam1.jpg
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Hi, thanks for the help so far, but i am still unsure of how i would calculate the deflection at 'A' due to the load that you have drawn underneath the beam.
As the distributed load is not at the built in end, i don't know how to calculate the deflection due to it.
 
It is difficult to know what advice to offer since I don't know what beam methods you have covered. You would not usually do this by superposition alone.

Perhaps these examples will help
 

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  • gbeam2.jpg
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  • gbeam3.jpg
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