{
  "basis": "Hypothetical inputs; source-defined coefficients/equations; empty carbon steel; no water or stainless adjustment",
  "equal_leg_inputs": {
    "k_in": 0.79,
    "L_ft": 10,
    "w_lbf_per_ft": 5,
    "P_lbf": 20
  },
  "equal_leg_results": [
    {
      "configuration": "right_angle",
      "W_total_lbf": 100,
      "in_plane_Hz": 26.368732362430983,
      "out_of_plane_Hz": 6.380771971083882
    },
    {
      "configuration": "portal",
      "W_total_lbf": 150,
      "in_plane_Hz": 5.241992395899513,
      "out_of_plane_Hz": 3.3998778224102515
    },
    {
      "configuration": "stepped",
      "W_total_lbf": 150,
      "in_plane_Hz": 4.695743144218024,
      "out_of_plane_Hz": 3.7822573498040426
    }
  ],
  "offset_inputs": {
    "k_in": 0.79,
    "L1_ft": 2,
    "L2_ft": 10,
    "L3_ft": 4,
    "ell_ft": 2,
    "w1_lbf_per_ft": 5,
    "P_lbf": 20
  },
  "offset_results": {
    "D": {
      "q": 0.5,
      "mu": 2.0,
      "factor_numerator": 1.0,
      "factor_denominator": 27.14666666666667,
      "configuration_factor": 0.19192950572278902,
      "frequency_Hz": 29.756270743496902
    },
    "E": {
      "q": 0.5,
      "mu": 2.0,
      "factor_numerator": 1.125,
      "factor_denominator": 25.028125000000003,
      "configuration_factor": 0.2120128106721967,
      "frequency_Hz": 32.869936134590695
    }
  },
  "offset_mass_position_change": {
    "D": {
      "q": 0.75,
      "mu": 2.0,
      "factor_numerator": 1.0,
      "factor_denominator": 29.79666666666667,
      "configuration_factor": 0.18319607251371453,
      "frequency_Hz": 28.402261092345015
    },
    "E": {
      "q": 0.75,
      "mu": 2.0,
      "factor_numerator": 1.125,
      "factor_denominator": 27.595830078125,
      "configuration_factor": 0.20190846643004312,
      "frequency_Hz": 31.303383864147808
    }
  },
  "valve_exemplar": {
    "weight_each_lbf": 18,
    "gravity_in_per_s2": 386,
    "mass_each_lbf_s2_per_in": 0.046632124352331605,
    "arms_in": [
      7.5,
      14.0
    ],
    "moment_coefficients_lbf_s2": [
      0.34974093264248707,
      0.6528497409326425
    ],
    "hypothetical_in_phase_accelerations_in_per_s2": [
      100,
      150
    ],
    "hypothetical_moment_lbf_in": 132.9015544041451
  }
}