Gradient at roller and pin support

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Discussion Overview

The discussion revolves around the behavior of slopes at pin and roller supports in beam theory, particularly addressing why the author of the notes indicated zero displacement but did not mention that the slope is also zero at these supports. The scope includes conceptual understanding and clarification of beam behavior under load.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions why the author only stated that zero displacement occurs at pin and roller supports, suggesting that the slope at these supports should also be zero.
  • Another participant asserts that the slope is maximum at the ends of the beam, where the pin and roller are located, contradicting the idea that it is zero.
  • A subsequent reply reiterates the claim that the slope is maximum at the ends, questioning the assertion that it could be zero.
  • Further discussion indicates that the slope is minimum in the middle of the beam and zero at the two ends, suggesting a different interpretation of slope behavior.
  • Another participant states that the beam is sagging and claims that the slope is zero only at the center of the beam, while at either end, the slope is maximum.

Areas of Agreement / Disagreement

Participants express competing views regarding the behavior of slope at pin and roller supports, with no consensus reached on whether the slope is zero at these points.

Contextual Notes

Participants reference the behavior of slopes in relation to beam loading and displacement, but there are unresolved assumptions regarding the definitions of slope and displacement in this context.

chetzread
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Homework Statement


in the notes , why did the author only stated that zero displacement occur at pin and roller support?
Why the author didnt stated that the slope at pin and roller support is also = 0 ?

Homework Equations

The Attempt at a Solution


As we can see from the figure, the gradient at pin and roller support = 0 ?
 

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The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.
 
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David Lewis said:
The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.
why not = 0?
 
David Lewis said:
The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.
the slope is minimum in the middle of the beam, and 0 at the 2ends of beam, right?
 
The beam is sagging. Slope is zero only at the center of the beam. But at either end, slope is maximum.
 

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