endmill-deflection-calc/tool-deflection.json

40 lines
1.2 KiB
JSON
Raw Normal View History

2026-08-21 08:33:27 +02:00
{
"title": "Endmill Deflection Calculator — data twin",
"author": "Anna Brown",
"site": "https://anna-brown.4ort.net/tool-deflection.html",
"formula": {
"deflection_in": "delta = F * L^3 / (3 * E * I)",
"moment_of_inertia_round_shank_in4": "I = pi * d^4 / 64",
"cantilever_stiffness_lbf_per_in": "k = 3 * E * I / L^3",
"E_carbide_psi": 30000000,
"E_hss_psi": 29500000,
"E_cobalt_hss_psi": 22000000
},
"worked_example": {
"material": "1018 steel slot, 0.75 in wide",
"tool": "solid carbide endmill",
"diameter_in": 0.375,
"stickout_in": 2.0,
"force_lbf": 180,
"I_in4": 0.000969,
"3EI_lbf_in2": 87200,
"deflection_in": 0.0165,
"thou": 16.5,
"note": "at 1.25 in stickout same force: deflection 0.010 in; at 120 lbf: 0.0063 in"
},
"conversions": {
"1_thou_in": 0.001,
"in_to_mm": 25.4
},
"failure_modes": [
"regenerative_chatter_is_dynamic_not_static",
"force_spread_along_flute_not_point_load",
"chuck_spindle_column_compliance_stacks_in_series",
"necked_tools_have_nonuniform_I",
"belt_drive_torsional_windup"
],
"grounding": {
"machining": "https://4ort.xyz/entity/machining",
"wikidata_Q192047": "subtractive manufacturing by material removal"
}
}