Statics › Section H · Internal forces › Topic H.3

Shear and bending moment diagrams

One cut gives the internal forces at one point, but a designer needs them everywhere. Shear and bending moment diagrams show them along the whole beam, and two short equations link them to the load.

In this topic

  • Seeing the whole beam at once
  • Three standard beams
  • A thin slice of beam
  • The two differential relations
  • Areas give changes
  • Jumps at point loads and couples
  • What the relations predict
  • Worked example: a uniformly loaded span
  • Worked example: a single point load
  • Beyond statics
  • Common mistakes to avoid
  • Key takeaways

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