Can a 25kN Force Affect the Moment at the Fixed Support in Beam Analysis?

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Discussion Overview

The discussion revolves around the analysis of a beam under a 25kN force, focusing on determining the unknown reactions, internal and external forces, and the implications for the bending moment at a fixed support. The scope includes homework-related analysis, technical reasoning, and conceptual clarification regarding the effects of forces on beam moments.

Discussion Character

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

Main Points Raised

  • One participant describes their approach to analyzing the beam, noting the shear at the hinge and the reaction at the roller, but expresses confusion about the moment generated by the 25kN force.
  • Another participant suggests calculating the vector product of the position vector and the force to clarify the moment effect.
  • A different participant proposes adding a second 25kN force in the opposite direction to illustrate the concept of a force and a couple.
  • One participant reminds others to consider the effect of the reaction at another support point, indicating that this could influence the overall moment analysis.
  • A later reply hints at qualitative analysis from the bending moment diagram, suggesting that it could provide insights into the deflected shape of the beam without detailed calculations.

Areas of Agreement / Disagreement

Participants express differing views on the effect of the 25kN force on the moment at the fixed support, with no consensus reached on its implications. The discussion remains unresolved regarding the specific contributions of the forces and moments involved.

Contextual Notes

There are limitations in the assumptions made about the force's moment contribution, particularly regarding the dimensions and orientations involved in the analysis. The discussion also reflects dependencies on the definitions of moments and forces in the context of beam analysis.

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Homework Statement


Okay, I am required to analyse the beam solving for all unknown reactions, both internal and external. From there, the Bending Moment Diagram and Shear Force Diagram are to be produced.


Homework Equations





The Attempt at a Solution


So i sectioned the beam at the internal hinge and using the left hand beam and statics, was able to determine the shear at the hinge to be 20kN. From that, i was able to determine the reaction at the roller (80kN upwards).

On the right hand beam, i have taken moments about the fixed support. I have a moment supplied by the shear (60kNm clockwise) and a moment supplied at the fixed support (M) as well as the moment applied by the bent member.

That relates to the issue. I'm confused as to the moment generated by the 25kN force. I feel as though the 2.5m dimension on the right of the image is a red herring. That is, the force acts vertical and so by definition, there would be no moment as the force acts parallel to the 2.5m dimension.



Any help would be greatly appreciated
 

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If you are not certain, you can always calculate the vector product r x F, where r is the position of F w.r.t. the attachment point on the beam.
 
Does this help? Add a 25 kN force downwards at E, and then add another 25 kN Force upwards at E. You then have a force and a couple.
 
quote "On the right hand beam, i have taken moments about the fixed support. I have a moment supplied by the shear (60kNm clockwise) and a moment supplied at the fixed support (M) as well as the moment applied by the bent member."
Don't forget the effect of the reaction at B.

(This makes an interesting question in qualitative analysis. From the bending moment diagram you should be able to determine the deflected shape and whether the hinge at C goes up or down, without calculation)
 

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