Bending Moment
Bending moment at section of a beam is defined as the algebraic sum of the moments about the section as all the forces an one side of the section.

- Valid only when there is no concentric load between ends.
Here, W=Load per unit length
- A negative slope represents downward loading.
- The rate of change of bending moment along the length of the beam is equal to the shear force.
dM/dx = Sx - Valid only when there is no couple between ends considered.
- At the hinge, the bending moment will be zero.
- Bending moment is maximum when shear force is zero.
- If degree of loading curve = n then
⇒ degree of shear force = n + 1
⇒ degree of bending moment = n + 2 - The point of contraflexure/inflection is that point where the bending moment changes its sign.
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