Boundary condition of pinned/fixed/roller support

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Homework Help Overview

The discussion revolves around the behavior of shear forces at supports in structural analysis, particularly focusing on pinned, fixed, and roller supports. Participants are examining the shear force diagram and questioning the value of shear force at a specific point, x=L, where discontinuities may occur due to applied loads and reactions.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to determine whether the shear force is zero at the boundary condition x=L and are discussing the implications of discontinuities in shear force at points of applied reactions. There is also a consideration of the accuracy of shear diagrams presented.

Discussion Status

Some participants have provided insights regarding the discontinuity of shear forces at the boundaries, while others express uncertainty about how to address the question of shear force value at x=L. There is no explicit consensus on the interpretation of the problem, but guidance on the nature of discontinuities has been shared.

Contextual Notes

Participants are navigating the constraints of their homework question, which specifically asks about the shear force at a point of discontinuity, raising questions about the appropriateness of such inquiries in structural analysis.

yecko
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Homework Statement


-bg38psihf5D0qL_m6G_y_Xc7YM58NoqLQFCzpWt2lxa5OeFJ0mIjzSP21WdVymtDm7lZQbPNWOeg&owa=outlook.office.jpg
[/B]

Homework Equations


shear bending diagram

The Attempt at a Solution


May I ask for supports like these, if shear force V= 0 or not when x=L?
From the shear diagram, it is a shape increase from -0.5P to 0 there.
As the shear go back to zero is owing to the reaction force by R2, right before x=L V=-0.5P, while right after V=0.

Thank you.
 

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    -bg38psihf5D0qL_m6G_y_Xc7YM58NoqLQFCzpWt2lxa5OeFJ0mIjzSP21WdVymtDm7lZQbPNWOeg&owa=outlook.office.jpg
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yecko said:

Homework Statement


View attachment 225582[/B]

Homework Equations


shear bending diagram

The Attempt at a Solution


May I ask for supports like these, if shear force V= 0 or not when x=L?
From the shear diagram, it is a shape increase from -0.5P to 0 there.
As the shear go back to zero is owing to the reaction force by R2, right before x=L V=-0.5P, while right after V=0.

Thank you.
If you are asking whether the shear force is discontinuous at the ends (where point reaction forces are applied) and at the center (where a point load is applied), then yes.
 
Yes, it is discontinuous, yet the question from my homework is asking if the shear force at x=L V=0?
 
yecko said:
Yes, it is discontinuous, yet the question from my homework is asking if the shear force at x=L V=0?
I don't know how to answer that if it is discontinuous at x = L.
 
I agree with Chet that it makes no sense to ask for the value of a function at a discontinuity.
But I would like to point out that your diagrams are wrong for the fixed support. R1 and R2 will not be equal there.
 

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