Statics › Section H · Internal forces › Topic H.6
The integration method
Triangular, trapezoidal and curved loads produce shear and moment diagrams that geometry struggles with. Writing the load as a function and integrating it twice handles any loading, and the formulas it gives are easy to program.
In this topic
- When geometry runs out
- The two integrals
- Writing the load function
- Global or local coordinates
- Finding the peaks
- Worked example: a triangular load
- Reading the triangular-load diagrams
- Worked example: two segments
- Finding the two-segment peak
- Choosing a method
- Common mistakes to avoid
- Key takeaways
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