diff --git a/phases/linear-static-3d-euler-beam/index.json b/phases/linear-static-3d-euler-beam/index.json
index 9a70dd1..6517518 100644
--- a/phases/linear-static-3d-euler-beam/index.json
+++ b/phases/linear-static-3d-euler-beam/index.json
@@ -21,7 +21,10 @@
     {
       "step": 2,
       "name": "formulation-alignment",
-      "status": "pending"
+      "status": "completed",
+      "started_at": "2026-08-09T02:14:26+0900",
+      "summary": "기존 3D Euler–Bernoulli strong/weak form과 DOF·부호·2점 Gauss·12×12 강성 의미를 보존하면서 B33 n1/section/geometry 및 recovery/tolerance 계약을 승인 V0 요구조건·연구에 정렬함",
+      "completed_at": "2026-08-09T02:33:50+0900"
     },
     {
       "step": 3,