Cantilever, pin and UDL confusion

[dan38]

So I have a 10 metre cantilever with a pin in the middle
There is a roller at the end and a UDL of 10 kN / m acting across.
Drawing the BMD is confusing me.

By my calculations; there should be a 50 kN load acting at the fixed end and roller.
Hence shape of the shear force diagram would be up, negative gradient and then up again.
But this would make it impossible for the BMD to equal zero at the pin.

Moreover when I split the cantilever at the pin, I find that the support reactions equal 25 kN now...

Where am I going wrong?

 

[Studiot]

So I have a 10 metre cantilever with a pin in the middle

??

One cantilever or two or what?

 

[dan38]

one cantilever

 

[PhanthomJay]

I think you mean that the beam is fixed at one end, then there is a pin at 5 m which connects another 5 m long beam that is roller supported at its other end?

 

[dan38]

Question says: A propped cantilever beam ABC with a pin at B experiences a UDL of 10 kN/m.

 

[dan38]

dont worry figured it out :D