# Shear force and moment

1. Jul 4, 2016

1. The problem statement, all variables and given/known data
in the book , i was told that when the shear force is 0 , moment is maximum . However , in this question , i found that when the shear foce is 0 , the moment is also 0 . I'm wondering is the ststemnet true ?

2. Relevant equations

3. The attempt at a solution

2. Jul 4, 2016

### SteamKing

Staff Emeritus
Obviously, if the beam is a cantilever, the shear force and the bending moment can both be zero at the free end. You won't find the maximum moment there in any event.

I think what the author was trying to say was that since the derivative of the bending moment, dM/dx = V, the locations where the shear is zero are also possible locations where the bending moment has a relative maximum or minimum.

3. Jul 4, 2016

so , for the above case , shear force = 0 , moment = 0(minimum) ?

4. Jul 4, 2016

### SteamKing

Staff Emeritus
Obviously.