The discussion clarifies the relationship between shear force and bending moment in structural analysis, specifically addressing the misconception that shear force being zero always indicates maximum moment. It is established that while the derivative of the bending moment (dM/dx) equals the shear force (V), locations where shear force is zero can correspond to either maximum or minimum bending moments. In the case of a cantilever beam, both shear force and bending moment can be zero at the free end, confirming that maximum moment does not occur there.
PREREQUISITESStructural engineers, civil engineering students, and anyone involved in the analysis of beam mechanics will benefit from this discussion.
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.chetzread said:Homework Statement
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 ?
Homework Equations
The Attempt at a Solution
so , for the above case , shear force = 0 , moment = 0(minimum) ?SteamKing said:
Obviously.chetzread said: