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Torque hinge and rotary damper operating force and holding calculator

Engineering calculators (Beta)

Compare lid gravity moment and operating force, separating static-holding friction hinges from velocity-dependent rotary dampers.

Inputs

Choose units and enter numbers. Full-width digits and fractions such as 1/8 or 1 3/8 are accepted. Changing a unit converts the entered value.

Results

Reference calculation only. Results do not certify suitability for an actual design or its safety.

Diagram

Inputs: select a blue symbol to edit Results: red-orange values and lines

Formula and applicability

Mg=mgc cosθ; hinge: R=n Trun, H=n Thold; viscous: R=n Tref(|ω|/ωref)^α, H=0; Fopen=(Mg+R)/L; Fclose=(Mg−R)/L; P=R|ω|.

Displayed values are rounded. Diagrams illustrate the calculation conditions. Initial material and fluid properties are examples; replace them with values for the actual material, temperature and conditions.

Reference
Using this information as a reference

Equations assume particular loads, supports and deformation ranges. Check inputs, units and the applicability of each equation. Diagrams explain conditions; they are not manufacturing drawings or proof of safety.

Material values are typical values or reference ranges, not certified product properties or ready-to-use design allowables. They vary with standards, product form, dimensions, temper and temperature. Check the specifications and inspection certificates for the actual product.

Displayed safety factors and checks apply only to the supplied inputs and calculation model. They do not automatically establish the safety of a complete design, including code compliance, service life, fatigue or joints. For actual design, manufacture and use, separately verify applicable regulations and standards, product specifications, and the necessary tests and engineering review.

Calculations do not submit input values to a server. Results are not an automatic code-compliance or safety determination.

この計算で求められること

蓋の重力モーメントと操作力を比較します。静止保持する摩擦ヒンジと、動作中だけ抵抗する粘性ダンパーを分けて計算します。

入力・結果・適用条件を確認する

主な入力

  • 回転抵抗の種類
  • 支点から手を掛ける点まで L
  • 支点から重心まで c
  • 蓋の質量 m
  • 水平からの開き角 θ
  • 同じ特性の個数 n
  • 1個の動作中の摩擦トルク Trun
  • 1個の確認済み最小静止保持トルク Thold
  • 基準速度での1個の抵抗トルク Tref
  • 上記に対応する基準回転数 nref
  • 実測範囲での速度指数 α
  • 動作中の回転数 nrot（大きさ）

得られる結果

  • 開く動作での手の力 Fopen（＋は開く向き） (N)
  • 閉じる動作での手の力 Fclose（＋は開く向き） (N)
  • 重力の閉じ方向モーメント Mg (N·m)
  • 合計動作抵抗トルク R (N·m)
  • 1個に必要な静止保持トルク (N·m)
  • 合計静止保持トルク（粘性は0） (N·m)
  • 最小静止保持トルク／重力モーメント (—)
  • 動作中の吸収動力（平均ではない） (W)

Mg=mgc cosθ; hinge: R=n Trun, H=n Thold; viscous: R=n Tref(|ω|/ωref)^α, H=0; Fopen=(Mg+R)/L; Fclose=(Mg−R)/L; P=R|ω|.

蓋の重心と手の位置は支点から同じ直線上で、手の力は蓋に直角、角速度一定の準静的モデルです。0〜150°、個数1〜4、c≤Lとします。摩擦は開閉両方向で同じ動作トルク、粘性も両方向で同じ特性と仮定します。一方向型や方向で違う製品は別条件として確認します。静止保持には実条件で確認された最小値を入力し、最大始動トルクを代用しません。粘性抵抗は速度0で0となり静止保持に使えません。慣性、加速、ヒンジ以外の摩擦、取付変形、温度・摩耗、寿命、落下停止は含みません。操作力は動作中の値で、動き始めのピークではありません。縦位置で重力モーメントが0でも安定性や安全を保証しません。

関連する計算

What this calculator does

Compare lid gravity moment and operating force, separating static-holding friction hinges from velocity-dependent rotary dampers.

Inputs, outputs and applicability

Inputs

  • Type of rotary resistance
  • Hinge-to-hand distance L
  • Hinge-to-centre-of-mass distance c
  • Lid mass m
  • Opening angle θ from horizontal
  • Number n with equal characteristics
  • Running friction torque Trun per hinge
  • Verified minimum static holding torque Thold per hinge
  • Resistance Tref per damper at reference speed
  • Reference rotation speed nref
  • Velocity exponent α within measured range
  • Rotation speed nrot while moving (magnitude)

Results

  • Hand force Fopen while opening (+ opens) (N)
  • Hand force Fclose while closing (+ opens) (N)
  • Closing gravity moment Mg (N·m)
  • Total running resisting torque R (N·m)
  • Required static holding torque per unit (N·m)
  • Total static holding torque (viscous: zero) (N·m)
  • Minimum static holding torque / gravity moment (—)
  • Instantaneous absorbed power while moving (W)

Mg=mgc cosθ; hinge: R=n Trun, H=n Thold; viscous: R=n Tref(|ω|/ωref)^α, H=0; Fopen=(Mg+R)/L; Fclose=(Mg−R)/L; P=R|ω|.

Quasi-static constant-speed lid with centre of mass and hand on the same line from the hinge, and hand force normal to the lid. Limited to 0–150°, 1–4 identical units and c≤L. Assumes equal resistance in opening/closing; one-way or directional products require separate operating conditions. Static holding requires a verified minimum under actual conditions, not maximum breakaway torque. Viscous resistance vanishes at zero speed and cannot hold a stationary lid. Excludes inertia, acceleration, other friction, mounting deflection, temperature/wear, life and drop stopping. Hand force is the running value, not a starting peak. Zero gravity moment at vertical does not establish stability or safety.

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