Boundary condition of pinned/fixed/roller support

[yecko]

Homework Statement

[/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.

 

[Chestermiller]

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.

 

[yecko]

Yes, it is discontinuous, yet the question from my homework is asking if the shear force at x=L V=0?

 

[Chestermiller]

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.

 

[haruspex]

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.