diff --git a/apps/web/src/lib/api.ts b/apps/web/src/lib/api.ts
index 67802a8..b87d580 100644
--- a/apps/web/src/lib/api.ts
+++ b/apps/web/src/lib/api.ts
@@ -76,6 +76,25 @@ export interface SimulationResult {
   } | null;
   /** Degrees-of-freedom summary after topology finalize (CLI hard gate). */
   dof?: DofSummary | null;
+  /**
+   * Named solver-computed unknowns (free actuators + calibration factors like
+   * `z_ua`, `opening`, `z_dp`) read out of the raw Newton state vector.
+   * Absent/empty for systems with no bounded control variables.
+   */
+  solved_variables?: SolvedVariable[];
+}
+
+/** A named solver-computed unknown with its converged value and bounds. */
+export interface SolvedVariable {
+  /** Stable id, e.g. "exv__opening". */
+  id: string;
+  /** Owning component name, or null for globals. */
+  component: string | null;
+  /** Short human label, e.g. "opening", "z_ua", "z_dp". */
+  variable: string;
+  value: number;
+  min: number;
+  max: number;
 }
 
 /** Degrees-of-freedom summary returned by the CLI after finalize. */