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Linear Superposition

Load combinations are assembled by linear superposition of solved load-case results.

How it is applied​

For each combination term:

  • Displacements: u_comb += factor * u_case
  • Reactions: R_comb += factor * R_case
  • Member forces: F_comb += factor * F_case

The AnalysisResultSetBuilder uses this approach when creating combination-level rows in AnalysisResultSet.

Practical implications​

  • You must solve each referenced load case successfully first.
  • If a required load case fails, that combination is skipped in the result set and reported in ErrorMessage.
  • This workflow assumes linear analysis response.