Gradient at roller and pin support

[chetzread]

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 ?

 

[David Lewis]

The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.

 

[chetzread]

The slope is maximum at the ends of the beam, where the pin and roller are located, not zero.

why not = 0?

 

[chetzread]

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?

 

[David Lewis]

The beam is sagging. Slope is zero only at the center of the beam. But at either end, slope is maximum.