Shear force diagram and bending moment diagram under given loads

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Shear force and bending moment diagrams show internal forces in a beam under given loads.

Shear force diagram shows the variation of shear force along the length of the beam.
Bending moment diagram shows the variation of bending moment along the length of the beam.
Shear force is the sum of all vertical forces acting to the left or right of a point on the beam.
Bending moment is the sum of all moments acting to the left or right of a point on the beam.
Both diagrams are essential for designing and analyzing structures.
Example: A simply supported beam with a point load at the center will have a triangular shear force diagram and a parabolic bending moment diagram.

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