{
  "headline": "Grip moments, mounting assumptions and whole-host installation change the conclusions. The prototype fit remains unqualified.",
  "summary_html": "<div class=\"notice\"><p>The old mouth-force numbers reproduce, but do not include the handle lever arm. The assumed swing also intersects the front host. The owner\u2019s original fit print failed expectations.</p></div><div class=\"scroll\"><table><thead><tr><th>T10 down 50 N</th><th>Rack max mm</th><th>Work-equivalent grip mm</th></tr></thead><tbody><tr><td>all-pegs</td><td>0.0909</td><td>1.1404</td></tr><tr><td>hooks-only</td><td>4.2650</td><td>3.4287</td></tr><tr><td>four-corners</td><td>0.1045</td><td>1.2114</td></tr><tr><td>face</td><td>0.0886</td><td>1.1239</td></tr></tbody></table></div><p>All 26 tools pass finer sampled removal paths. No physical load or snap rating is established. Open the full report for mesh, material, hoop, grid and print-preparation details.</p>",
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    "native_valid": true,
    "native_solids": 1,
    "native_shells": 1,
    "native_faces": 5037,
    "native_volume_mm3": 1527603.2742597507,
    "native_area_mm2": 225189.93355063951,
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    "mesh_closed": true,
    "mesh_components": 1,
    "mesh_invalid_points": false,
    "mesh_invalid_neighbourhood": false,
    "mesh_volume_mm3": 1527709.375,
    "mesh_step_volume_error": 6.945569051669075e-05,
    "peg_solids_behind_front_face": 90,
    "peg_rows": [
      {
        "approximate_centre_z_mm": -94.01945596835999,
        "count": 9
      },
      {
        "approximate_centre_z_mm": -120.86945596829933,
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      },
      {
        "approximate_centre_z_mm": -146.26945596829933,
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      },
      {
        "approximate_centre_z_mm": -171.66945596829936,
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      {
        "approximate_centre_z_mm": -197.06945596829934,
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        "approximate_centre_z_mm": -222.46945596829931,
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        "approximate_centre_z_mm": -247.86945596829935,
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      {
        "approximate_centre_z_mm": -273.2694559682993,
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        "approximate_centre_z_mm": -323.7944559683006,
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    "freecad": [
      "1",
      "1",
      "3",
      "20260725 (Git shallow)",
      "Unknown",
      "2026/07/25 04:52:02",
      "grafted,grafted",
      "145529fe741292ff0b3977a01195bf0247425794"
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    "occ": "7.8.1"
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    "linear_tetra_mesh_volume_mm3": 1532900.3187245256,
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    "gmsh_version": "",
    "ccx_version": "This is Version 2.21",
    "ccx_version_exit_code": 201,
    "suite": "deep",
    "results": [
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        "solver_log_sha256": "6dec0d92681aea584fa0feb0a21abc80a6e2845dbf88cba0f99c9c3bd2500531"
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    "limitations": [
      "Solid isotropic ASA; infill and layer interfaces absent",
      "Clamps are ideal boundary sensitivities, not contact with elastic pegboard",
      "Grip wrench is an equivalent resultant on a mouth patch, not verified tool/socket contact",
      "Stress maxima may be singular at sharp edges and ideal clamps; do not infer a load rating",
      "Stress percentiles are unweighted integration-point percentiles"
    ]
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  "patch_2x": {
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    "minimum_element_volume_mm3": 2.6874885487258624e-06,
    "gmsh_version": "4.15.0",
    "ccx_version": "This is Version 2.21",
    "suite": "transfer",
    "material_scenario": "iso1800",
    "load_radius_multiplier": 2.0,
    "mesh_reused_from": "/mnt/keith/bench/hx04-fan-audit-e487d4c/h7",
    "seconds": 2021.018565500999,
    "results": [
      {
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          {
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            "build_normal_max_compression_MPa": 85.59819,
            "von_mises_MPa": {
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        "input_deck_sha256": "6bc5a51b447f2cce105aca16c5cdaa11046f3aa3633434f41393045af3d5d565",
        "solver_log_sha256": "030ea2212c1ead02005990747fd566c7124c9c6088b784cac5df958ba56dc900"
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    ],
    "limitations": [
      "Solid isotropic ASA; infill and layer interfaces absent",
      "Clamps are ideal boundary sensitivities, not contact with elastic pegboard",
      "Grip wrench is an equivalent resultant on a mouth patch, not verified tool/socket contact",
      "Stress maxima may be singular at sharp edges and ideal clamps; do not infer a load rating",
      "Stress percentiles are unweighted integration-point percentiles"
    ]
  },
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        "max_peer_intersection_mm3": 0.0,
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        "escape_vector_mm": [
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        "mouth_mm": [
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        "grip_mm": [
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        "sample_count": 190,
        "step_mm": 1.0,
        "rigid_straighten_samples": 13,
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        "max_body_intersection_mm3": 0.0,
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        "size": "10",
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    "all_sampled_routes_pass": true,
    "seconds": 115.80924406199483,
    "scope": "Original HX04 v2 tool proxies and seats; rigid straightening with linearly interpolated tip and 1 mm translation samples. Finer sampling is not a continuous certificate. Does not certify revised straight-guide seats or physical tool dimensions."
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    "seconds": 260.53226736199576,
    "scope": "Same assumed fixed pivot as published swing screen; checks front host omitted from the rear-peg screen. Sensitivity ranges are illustrative, not measured board tolerances. Positive volume is neither force nor maximum penetration; compliant hooks/hoops and alternative install trajectories are not simulated."
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            "outward_translation_mm": 0.49467083053683886,
            "front_host_intersection_mm3": 0.0
          },
          {
            "angle_deg": 5.5,
            "outward_translation_mm": 0.4535807427035931,
            "front_host_intersection_mm3": 0.0
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          {
            "angle_deg": 5.0,
            "outward_translation_mm": 0.4124561129406813,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 6.743435276738041,
            "hooks_max_per_peg_intersection_mm3": 0.7492705864104717,
            "locking_total_intersection_mm3": 0.0,
            "locking_max_per_peg_intersection_mm3": 0.0,
            "bearing_total_intersection_mm3": 0.84954976624535,
            "bearing_max_per_peg_intersection_mm3": 0.0943944184937999
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          {
            "angle_deg": 4.5,
            "outward_translation_mm": 0.37130007304788026,
            "front_host_intersection_mm3": 0.0
          },
          {
            "angle_deg": 4.0,
            "outward_translation_mm": 0.33011575721696995,
            "front_host_intersection_mm3": 0.0
          },
          {
            "angle_deg": 3.5,
            "outward_translation_mm": 0.28890630179305243,
            "front_host_intersection_mm3": 0.0
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          {
            "angle_deg": 3.0,
            "outward_translation_mm": 0.24767484503570716,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 7.814479599729805,
            "hooks_max_per_peg_intersection_mm3": 0.8682755112749815,
            "locking_total_intersection_mm3": 0.0,
            "locking_max_per_peg_intersection_mm3": 0.0,
            "bearing_total_intersection_mm3": 2.108730499846102,
            "bearing_max_per_peg_intersection_mm3": 0.1988037219402096
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          {
            "angle_deg": 2.5,
            "outward_translation_mm": 0.20642452688000026,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 8.053058875769283,
            "hooks_max_per_peg_intersection_mm3": 0.8947843196091002,
            "locking_total_intersection_mm3": 0.0,
            "locking_max_per_peg_intersection_mm3": 0.0,
            "bearing_total_intersection_mm3": 2.4884524130032872,
            "bearing_max_per_peg_intersection_mm3": 0.20575857717002508
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          {
            "angle_deg": 2.0,
            "outward_translation_mm": 0.16515848869736638,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 8.28268402251315,
            "hooks_max_per_peg_intersection_mm3": 0.9202982247710167,
            "locking_total_intersection_mm3": 0.003491587547607457,
            "locking_max_per_peg_intersection_mm3": 0.00038795417201896486,
            "bearing_total_intersection_mm3": 2.91335646050465,
            "bearing_max_per_peg_intersection_mm3": 0.19990677890507522
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          {
            "angle_deg": 1.5,
            "outward_translation_mm": 0.12387987305638114,
            "front_host_intersection_mm3": 0.0
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          {
            "angle_deg": 1.0,
            "outward_translation_mm": 0.0825918234834422,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 8.718036971807164,
            "hooks_max_per_peg_intersection_mm3": 0.9686707746898989,
            "locking_total_intersection_mm3": 51.95097713309141,
            "locking_max_per_peg_intersection_mm3": 5.7723307925774145,
            "bearing_total_intersection_mm3": 3.8747255946654864,
            "bearing_max_per_peg_intersection_mm3": 0.14000070044581753
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          {
            "angle_deg": 0.5,
            "outward_translation_mm": 0.04129748422337776,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 8.926779940124137,
            "hooks_max_per_peg_intersection_mm3": 0.9918644378424551,
            "locking_total_intersection_mm3": 40.95227954552925,
            "locking_max_per_peg_intersection_mm3": 4.550253287749467,
            "bearing_total_intersection_mm3": 3.74613936598264,
            "bearing_max_per_peg_intersection_mm3": 0.08117843797540575
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          {
            "angle_deg": 0.0,
            "outward_translation_mm": 0.0,
            "front_host_intersection_mm3": 0.0,
            "hooks_total_intersection_mm3": 9.131544321509164,
            "hooks_max_per_peg_intersection_mm3": 1.0146160357322702,
            "locking_total_intersection_mm3": 2.994219652321367,
            "locking_max_per_peg_intersection_mm3": 0.33269107249246155,
            "bearing_total_intersection_mm3": 0.0,
            "bearing_max_per_peg_intersection_mm3": 0.0
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        ],
        "max_front_host_intersection_mm3": 0.0,
        "front_host_clear_at_sampled_angles": true
      }
    ],
    "seconds": 335.4629238169873,
    "scope": "Prescribed rigid rotation plus outward translation, 0.5 degree samples. Tests front-host clearance and selected rear-peg intersections on nominal board. Does not establish hook engagement, contact force, snap recovery, hand motion or a continuous collision certificate."
  },
  "hoop": {
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    "nodes": 624534,
    "elements": 440888,
    "fixed_root_nodes": 509224,
    "upper_tip_nodes": 795,
    "lower_tip_nodes": 794,
    "tip_centroids_mm": {
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      "lower": [
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    },
    "material": {
      "E_MPa": 1800,
      "nu": 0.35
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    "results": [
      {
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        "total_prescribed_closure_mm": 0.2,
        "upper_tip_reaction_N": [
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          3.3098363350500017e-13,
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        "lower_tip_reaction_N": [
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        "root_reaction_N": [
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        "mean_force_per_arm_N": 18.94160357717403,
        "linear_stiffness_per_arm_N_per_mm": 189.41603577174027,
        "force_balance_relative_error": 4.3901122463660485e-08,
        "max_displacement_mm": 0.11165320717054616,
        "von_mises_MPa": {
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          "p95": 5.192238153230941,
          "p99": 10.811338312885537
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        "build_normal_max_tension_MPa": 15.47298
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      {
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        "total_prescribed_closure_mm": 0.4,
        "upper_tip_reaction_N": [
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        "lower_tip_reaction_N": [
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        "root_reaction_N": [
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        "mean_force_per_arm_N": 37.88320651137002,
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        "von_mises_MPa": {
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          "p99": 21.622676556106576
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        "build_normal_max_tension_MPa": 30.94596
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      {
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        "total_prescribed_closure_mm": 0.6,
        "upper_tip_reaction_N": [
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        "lower_tip_reaction_N": [
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          71.80082972325005
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        "root_reaction_N": [
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          1.8237752924387798e-06,
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        "mean_force_per_arm_N": 56.824808390725025,
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        "force_balance_relative_error": 5.8209702444708875e-08,
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        "von_mises_MPa": {
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          "p99": 32.434014925247304
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      {
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        "total_prescribed_closure_mm": 0.8,
        "upper_tip_reaction_N": [
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          1.4984092173170005e-12,
          -55.79839010390011
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        "lower_tip_reaction_N": [
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          95.73444313226992
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        "root_reaction_N": [
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          1.7264827198831835e-06,
          -39.93605492241308
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        "mean_force_per_arm_N": 75.76641661808502,
        "linear_stiffness_per_arm_N_per_mm": 189.41604154521252,
        "force_balance_relative_error": 3.386356879604132e-08,
        "max_displacement_mm": 0.44661272880393815,
        "von_mises_MPa": {
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          "p95": 20.768955314013233,
          "p99": 43.24535253939393
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        "build_normal_max_tension_MPa": 61.89191
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    ],
    "seconds": 406.8451359810133,
    "scope": "Actual hoop/root crop, ideal fixed plate and distributed prescribed Z pinch at outer crest patches. Linear elastic stiffness and stress only. No board contact, friction, plasticity, creep, damage or support-release model; no insertion-force or recoverability rating."
  },
  "hoop_nonlinear": {
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    "source_sha256": "f88f00d1172e6fe47b873de2eb557f87899a840a550d3189709d0596f6f8f75a",
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    "h_mm": 0.4,
    "nodes": 167435,
    "elements": 113539,
    "fixed_root_nodes": 131502,
    "upper_tip_nodes": 271,
    "lower_tip_nodes": 270,
    "tip_centroids_mm": {
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      "lower": [
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    },
    "material": {
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      "nu": 0.35
    },
    "results": [
      {
        "pinch_per_arm_mm": 0.1,
        "total_prescribed_closure_mm": 0.2,
        "upper_tip_reaction_N": [
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          2.1408434415999997e-14,
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          23.30729890550001
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        "root_reaction_N": [
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        "mean_force_per_arm_N": 18.471220304250004,
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          "p95": 5.410686836943416,
          "p99": 11.079251988796484
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        "build_normal_max_tension_MPa": 11.29634
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      {
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        "total_prescribed_closure_mm": 0.4,
        "upper_tip_reaction_N": [
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          -7.011975210800002e-14,
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        "lower_tip_reaction_N": [
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          4.4621762770000044e-14,
          45.70368299399998
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        "root_reaction_N": [
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        "von_mises_MPa": {
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          "p99": 22.045710080261625
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      {
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        "upper_tip_reaction_N": [
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          -6.934430566999998e-14,
          -39.19333703000001
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        "lower_tip_reaction_N": [
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          9.395111940000072e-15,
          67.24770465200001
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        "root_reaction_N": [
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          5.2045659731645745e-06,
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        "von_mises_MPa": {
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          "p99": 32.87212774962221
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        "total_prescribed_closure_mm": 0.8,
        "upper_tip_reaction_N": [
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          6.957919210000011e-14,
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        "lower_tip_reaction_N": [
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          1.7164543999999863e-15,
          87.99112421100004
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        "root_reaction_N": [
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        "von_mises_MPa": {
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          "p99": 43.632203217260496
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        "build_normal_max_tension_MPa": 44.91198
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    ],
    "seconds": 387.3763304960157,
    "scope": "Actual hoop/root crop, ideal fixed plate and distributed prescribed Z pinch at outer crest patches. Geometrically nonlinear elastic stiffness and stress only; no material yielding model. No board contact, friction, plasticity, creep, damage or support-release model; no insertion-force or recoverability rating."
  },
  "modal_reference": [
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      "modes": [
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          "eigenvalue": 71086800.0,
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          "eigenvalue": 102815500.0,
          "angular_frequency_rad_s": 10139.8,
          "frequency_Hz": 1613.799,
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        {
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          "eigenvalue": 168383500.0,
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          "frequency_Hz": 2065.237,
          "imaginary_frequency_Hz": 0.0
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      ],
      "seconds": 232.888939735014,
      "scope": "Five undamped eigenmodes of archived rack as homogeneous solid ASA, E=1800 MPa, nu=.35, assumed density1070 kg/m3. Ideal original clamps; no tools, elastic board, print infill, layering, damping or validation. Mode-vector magnitude is arbitrary, not a vibration response."
    },
    {
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      "deck_sha256": "f0836e35719bec683bc509127f6d70b10f08a5e5ef6d0a9c2e7987939efd1b10",
      "dat_sha256": "d00279de8fe7bc16e70b0e4c372ff41ebd13601994d1d6ecf96837345122587f",
      "support": "four-corners",
      "density_tonne_mm3": 1.07e-09,
      "material_E_MPa": 1800,
      "nu": 0.35,
      "modes": [
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          "eigenvalue": 278754.3,
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        },
        {
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          "eigenvalue": 1651044.0,
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        },
        {
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          "eigenvalue": 4799958.0,
          "angular_frequency_rad_s": 2190.881,
          "frequency_Hz": 348.6895,
          "imaginary_frequency_Hz": 0.0
        },
        {
          "mode": 4,
          "eigenvalue": 6177666.0,
          "angular_frequency_rad_s": 2485.491,
          "frequency_Hz": 395.5782,
          "imaginary_frequency_Hz": 0.0
        },
        {
          "mode": 5,
          "eigenvalue": 7273841.0,
          "angular_frequency_rad_s": 2697.006,
          "frequency_Hz": 429.2418,
          "imaginary_frequency_Hz": 0.0
        }
      ],
      "seconds": 267.788890152995,
      "scope": "Five undamped eigenmodes of archived rack as homogeneous solid ASA, E=1800 MPa, nu=.35, assumed density1070 kg/m3. Ideal original clamps; no tools, elastic board, print infill, layering, damping or validation. Mode-vector magnitude is arbitrary, not a vibration response."
    },
    {
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      "deck_sha256": "c5988aeb911d6d765ae68c4e80b04160b072956d883d9d22124997f018eafaed",
      "dat_sha256": "b895ce6b6ed4e67171827ae8b96db47e608baae3b7b6fbbc00f202cecd08a4b0",
      "support": "face",
      "density_tonne_mm3": 1.07e-09,
      "material_E_MPa": 1800,
      "nu": 0.35,
      "modes": [
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          "eigenvalue": 57989740.0,
          "angular_frequency_rad_s": 7615.1,
          "frequency_Hz": 1211.981,
          "imaginary_frequency_Hz": 0.0
        },
        {
          "mode": 2,
          "eigenvalue": 115565000.0,
          "angular_frequency_rad_s": 10750.12,
          "frequency_Hz": 1710.934,
          "imaginary_frequency_Hz": 0.0
        },
        {
          "mode": 3,
          "eigenvalue": 164704100.0,
          "angular_frequency_rad_s": 12833.71,
          "frequency_Hz": 2042.548,
          "imaginary_frequency_Hz": 0.0
        },
        {
          "mode": 4,
          "eigenvalue": 225178900.0,
          "angular_frequency_rad_s": 15005.96,
          "frequency_Hz": 2388.273,
          "imaginary_frequency_Hz": 0.0
        },
        {
          "mode": 5,
          "eigenvalue": 227941200.0,
          "angular_frequency_rad_s": 15097.72,
          "frequency_Hz": 2402.877,
          "imaginary_frequency_Hz": 0.0
        }
      ],
      "seconds": 157.86029503299505,
      "scope": "Five undamped eigenmodes of archived rack as homogeneous solid ASA, E=1800 MPa, nu=.35, assumed density1070 kg/m3. Ideal original clamps; no tools, elastic board, print infill, layering, damping or validation. Mode-vector magnitude is arbitrary, not a vibration response."
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      "20260725 (Git shallow)",
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}