Statics › Section H · Internal forces › Topic H.4

The section cut method

Make the cut at a variable position x instead of a fixed point, and equilibrium gives the shear and bending moment as functions along the whole beam. Plot those functions and you have the shear and moment diagrams.

In this topic

  • From a point to a function
  • Loading segments
  • The procedure
  • Loads on a piece of length x
  • Worked example: a cantilever
  • Worked example: three segments
  • Reading the three-segment results
  • A trap: roots outside the range
  • Checks before you plot
  • Common mistakes to avoid
  • Key takeaways

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