Engineering Statics Equilibrium

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Discussion Overview

The discussion revolves around the equilibrium of forces in a statics problem involving a beam supported by a pin and a rocker. Participants explore the components of forces at these supports, particularly focusing on the implications of the angles and the nature of the supports on the equilibrium conditions.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that the pin support at A must have both x and y components due to its angled position.
  • Others challenge the necessity of an x component at support A, suggesting that if it existed, the beam could not be in equilibrium.
  • One participant proposes that the reaction at A must be vertical, implying that the resultant force can be resolved into components but must remain vertical for equilibrium.
  • Another participant emphasizes that the x component does not exist and that the slope of the beam does not affect the vertical reaction force at A.
  • There is a discussion about the relationship between horizontal and vertical forces, with some arguing that they are not related through the angle of the pin support.

Areas of Agreement / Disagreement

Participants express differing views on the existence and role of the x component at the pin support A. There is no consensus on whether the x component is necessary for equilibrium, leading to an unresolved discussion.

Contextual Notes

The discussion highlights assumptions about the nature of the supports and the implications of angles on force components, but these assumptions remain unverified within the conversation.

logaliciouz
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hi, for question two on the attached pdf, how would the equilibrium in the x work? From what i understand there must be an x and y component for the pin support at A because it acts at an angle but the support at B only has a y component because it is a rocker.
 

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logaliciouz said:
hi, for question two on the attached pdf, how would the equilibrium in the x work? From what i understand there must be an x and y component for the pin support at A because it acts at an angle but the support at B only has a y component because it is a rocker.
If there was an x (horizontal) component at the pin support A, then the beam could not be in equilibrium, which you appear to have concluded. So what does that imply about your statement that "there must be an x and y component for the pin support at A"? Is that true?
 
But if the support at A is acting on an angle, doesn't there mathematically have to be an x and y component to that force?
 
From equilibrium considerations, the reaction at A must be vertical. You can resolve that resultant reaction force into its vector components perpendicular and parallel to the incline if you want, but the resultant must be vertical.
 
Okay so basically rewriting it and just showing A as an upward force and ignoring the x-component altogether.
 
Well yes, A is upward, but it is not correct to say that you are ''ignoring'' the x-component, because no such x component exists. What you are ignoring is the slope when you solve for your shears and moments in the beam.
 
okay so the horizontal and vertical are not related to each other through the angle of the pin
 
logaliciouz said:
okay so the horizontal and vertical are not related to each other through the angle of the pin
Since there is no horizontal, there is no such relation. Whether the slope is 3:4 or 1:1 or vertical, or horixontal, or anything, the reaction is still upward of the same magnitude. The slope comes into play when you are considering the design of the support itself, not the beam.
 

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