diff --git a/phases/linear-static-3d-euler-beam/index.json b/phases/linear-static-3d-euler-beam/index.json
index 629886a..4798dc1 100644
--- a/phases/linear-static-3d-euler-beam/index.json
+++ b/phases/linear-static-3d-euler-beam/index.json
@@ -133,7 +133,10 @@
     {
       "step": 16,
       "name": "euler-beam-element",
-      "status": "pending"
+      "status": "completed",
+      "started_at": "2026-08-09T17:38:34+0900",
+      "completed_at": "2026-08-09T18:04:40+0900",
+      "summary": "Implemented the exact two-node 3D Euler-Bernoulli beam kernel with reviewed local signs, two-point Gauss stiffness and line loading, strict geometry/property validation, transform, end/Gauss/S11 recovery, and 10/10 targeted plus 39/39 full tests passing."
     },
     {
       "step": 17,