How do I find deflection in this beam?

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    Beam Deflection
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Discussion Overview

The discussion revolves around calculating the deflection at point C of a beam with specific support conditions, including a roller connection and an external pin. Participants explore methods for determining deflection, including theoretical approaches and software tools, while addressing the need for material properties like modulus of elasticity and moment of inertia.

Discussion Character

  • Technical explanation, Mathematical reasoning, Homework-related

Main Points Raised

  • One participant asks how to find the deflection at point C of the beam, specifying the support conditions.
  • Another participant suggests determining the reactions at supports A and B for equilibrium before calculating deflection, mentioning both mathematical and software approaches.
  • A participant indicates they have the necessary material properties (E and I) but seeks clarification on which formula to use, noting the existence of multiple formulas for different scenarios.
  • One reply provides a link to a resource with beam deflection formulas and suggests that the deflection can be approximated by summing deflections from specific cases, while also noting the non-fixed nature of support B affects accuracy.
  • A later post points out a duplicate thread, directing participants to another discussion.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the formulas and methods for calculating deflection, with no consensus on a specific formula or approach being established.

Contextual Notes

Participants mention the need for specific properties (E and I) and the importance of analyzing the beam from first principles, indicating that assumptions about support conditions and loading may affect the results.

raymanmusic
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How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx).

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As in all beam problems, first determine the reactions at A and B which put the loaded beam in equilibrium.

Once that is done, you can determine the deflection at C from first principles (if you like doing the math) or you can use software which analyzes beam problems.

To find the true deflection of the beam, you will need to know the modulus of elasticity (E) and the moment of inertia (I) of the beam.
 
See this attachment:
http://www.advancepipeliner.com/Resources/Others/Beams/Beam_Deflection_Formulae.pdf

The deflection of your beam would be approximately equal to the sum of the deflections from case 1 and case 4. Your beam is not exactly fixed at point B so the deflection at C will only be approximate. Like I said earlier, in order to find the exact amount of deflection, you would have to analyze the beam from first principles.
 

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