Core Links Engineering CalculatorsHPに戻るCompany home

ENGINEERING CALCULATORS

Lid / gas-spring operating force and mounting geometry calculator

Engineering calculators (Beta)

Explore the torque arm, signed hand force and mounting distance of a top lid rotating about a horizontal hinge.

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

A=(a cosθ,a sinθ), B=(xB,yB); ℓ=|A−B|; d=(Ay xB−Ax yB)/ℓ; Mg=mgc cosθ; Ms=nFs d; Fh=(Mg−Ms)/L.

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

横向きのヒンジ軸を持つ上蓋について、開き角度と取付位置から推力の効き方、必要な手の力、取付間距離を確認します。

入力・結果・適用条件を確認する

主な入力

  • ヒンジから手を掛ける位置まで L
  • ヒンジから蓋の重心まで c
  • 蓋の質量 m
  • 蓋側取付Aまでの距離 a
  • 本体側取付Bの横位置 xB
  • 本体側取付Bの縦位置 yB（下は負）
  • 閉じた水平状態からの開き角 θ
  • 確認する最大開き角 θmax
  • 同じ配置で使う本数 n
  • 1本の押し出し推力 Fs（一定と仮定）

得られる結果

  • 蓋に直角な手の力 Fh（＋開く／−閉じる） (N)
  • 現在の取付間距離 ℓ (mm)
  • 全スプリングのモーメント Ms（＋開く） (N·m)
  • 重力の閉じ方向モーメント Mg（符号付き） (N·m)
  • 推力の符号付きモーメントアーム d (mm)
  • この姿勢で釣合う1本の押し出し推力 (N)
  • 確認角度範囲での最小取付間距離 (mm)
  • 確認角度範囲での最大取付間距離 (mm)
  • 必要な取付間距離の変化幅 Δℓ (mm)

A=(a cosθ,a sinθ), B=(xB,yB); ℓ=|A−B|; d=(Ay xB−Ax yB)/ℓ; Mg=mgc cosθ; Ms=nFs d; Fh=(Mg−Ms)/L.

水平に閉じる薄い剛体蓋の側面モデルです。重心・蓋側取付・手の位置はヒンジから同一直線上にあり、手の力は蓋に直角です。＋Fhは開く手の力、−Fhは閉じる向きの保持力です。スプリングはBからAを押し離す圧縮型で、Fsを全角度で一定と仮定します。実製品は長さ・温度・摩擦・ヒステリシスで推力が変わるため、製品の実推力で各姿勢を再確認します。最小・最大取付間距離は0〜θmaxの幾何学的極値で、製品の伸長長・圧縮長・ストローク余裕と別に照合します。干渉、取付強度、たわみ、動作速度、落下防止、全開保持やラッチの安全性は判定しません。

関連する計算

What this calculator does

Explore the torque arm, signed hand force and mounting distance of a top lid rotating about a horizontal hinge.

Inputs, outputs and applicability

Inputs

  • Hinge-to-hand distance L
  • Hinge-to-lid CG distance c
  • Lid mass m
  • Hinge-to-moving mount A distance a
  • Fixed mount B horizontal coordinate xB
  • Fixed mount B vertical coordinate yB (negative below)
  • Opening angle θ from horizontal closed lid
  • Maximum opening angle θmax to inspect
  • Number n of identical mounting arrangements
  • Extension force Fs per spring, assumed constant

Results

  • Normal hand force Fh (+ opening / − closing) (N)
  • Current mounting distance ℓ (mm)
  • Total spring torque Ms (+ opening) (N·m)
  • Signed closing gravity torque Mg (N·m)
  • Signed spring moment arm d (mm)
  • Per-spring extension force balancing this pose (N)
  • Minimum mounting distance over inspected angles (mm)
  • Maximum mounting distance over inspected angles (mm)
  • Required mounting-distance travel Δℓ (mm)

A=(a cosθ,a sinθ), B=(xB,yB); ℓ=|A−B|; d=(Ay xB−Ax yB)/ℓ; Mg=mgc cosθ; Ms=nFs d; Fh=(Mg−Ms)/L.

Side-view model of a thin rigid lid closed horizontally. CG, moving mount and hand lie on the lid centreline; hand force is normal to the lid. Positive Fh opens; negative Fh is a closing holding force. Compression gas springs push A away from B, with Fs assumed constant at every angle. Actual force varies with length, temperature, friction and hysteresis; recheck poses using actual product forces. Exact minimum/maximum geometric distances over 0–θmax must be checked against product extended/compressed lengths and stroke reserves. Collision, mount strength, flexibility, operating speed, fall protection, hold-open and latch safety are not assessed.

Related tools

Torque hinge and rotary damper operating force and holding calculator →