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ENGINEERING CALCULATORS

Braking distance, time and absorbed energy calculator

Engineering calculators (Beta)

Calculate stopping travel and absorbed energy from response delay and constant braking force or torque.

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

Linear: a=(Fb−Fd)/m; tb=v₀/a; s=v₀td+v₀tb/2; Eb=Fb·v₀tb/2. Rotary: α=(Tb−Td)/J; tb=ω₀/α; θ=ω₀td+ω₀tb/2; Eb=Tb·ω₀tb/2. Pavg=Eb/tc.

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

ブレーキの応答遅れと一定の制動力・トルクから、停止までの移動量と吸収エネルギーを求めます。

入力・結果・適用条件を確認する

主な入力

  • 動きの種類
  • 移動する質量 m
  • 制動開始前の速さ v₀
  • ブレーキの制動力 Fb
  • 制動中も進行方向へ押す力 Fd
  • ブレーキ軸へ換算した合計慣性 J
  • 制動開始前の回転数 n₀
  • ブレーキの制動トルク Tb
  • 制動中も同じ向きへ回すトルク Td
  • 信号から制動開始までの遅れ td
  • 比較する停止距離の上限 slim
  • 比較する停止角度の上限 θlim
  • 停止操作の周期 tc（平均発熱用）

得られる結果

  • 信号から停止までの距離 s (m)
  • 信号から停止までの回転角 θ (°)
  • 信号から停止までの時間 tstop (s)
  • 実際に減速している時間 tb (s)
  • 応答遅れの間に進む距離 (m)
  • 制動開始から停止までの距離 (m)
  • 応答遅れの間に回る角度 (°)
  • 制動開始から停止までの角度 (°)
  • 減速に使える正味の力 Fb−Fd (N)
  • 減速に使える正味トルク Tb−Td (N·m)
  • 制動直前の運動エネルギー E₀ (J)
  • 1回でブレーキが吸収するエネルギー Eb (J)
  • 停止操作を繰り返す平均吸収動力 (W)
  • 入力した停止量上限の使用率 (%)

Linear: a=(Fb−Fd)/m; tb=v₀/a; s=v₀td+v₀tb/2; Eb=Fb·v₀tb/2. Rotary: α=(Tb−Td)/J; tb=ω₀/α; θ=ω₀td+ω₀tb/2; Eb=Tb·ω₀tb/2. Pavg=Eb/tc.

応答遅れの間は速さ一定、制動中は制動力と進行方向の負荷力が一定の理想モデルです。Fd・Tdは制動が効いた後も続く同方向の力です。遅れ中に加速する条件は扱いません。回転入力はブレーキ軸での合計慣性・トルクに揃えてください。制動力が負荷力以下では停止しません。摩擦の変動、速度による制動特性、ジャーク、弾性、滑り、熱による性能低下、電気回生は含みません。平均吸収動力だけではピーク容量や温度を判定できません。機械安全の保護距離を認証する計算ではありません。

関連する計算

What this calculator does

Calculate stopping travel and absorbed energy from response delay and constant braking force or torque.

Inputs, outputs and applicability

Inputs

  • Type of motion
  • Moving mass m
  • Speed before braking v₀
  • Brake resisting force Fb
  • Continuing forward force Fd while braking
  • Total inertia J referred to the brake shaft
  • Speed before braking n₀
  • Brake resisting torque Tb
  • Continuing driving torque Td while braking
  • Delay td from signal to brake engagement
  • Stopping-distance limit slim
  • Stopping-angle limit θlim
  • Stop-to-stop period tc (for mean heat)

Results

  • Distance s from signal to stop (m)
  • Angle θ from signal to stop (°)
  • Time tstop from signal to stop (s)
  • Actual deceleration time tb (s)
  • Travel during response delay (m)
  • Travel during deceleration (m)
  • Angle during response delay (°)
  • Angle during deceleration (°)
  • Net decelerating force Fb−Fd (N)
  • Net decelerating torque Tb−Td (N·m)
  • Kinetic energy E₀ before deceleration (J)
  • Energy Eb absorbed by the brake per stop (J)
  • Mean absorbed power for repeated stops (W)
  • Utilization of entered stopping-travel limit (%)

Linear: a=(Fb−Fd)/m; tb=v₀/a; s=v₀td+v₀tb/2; Eb=Fb·v₀tb/2. Rotary: α=(Tb−Td)/J; tb=ω₀/α; θ=ω₀td+ω₀tb/2; Eb=Tb·ω₀tb/2. Pavg=Eb/tc.

Ideal constant speed during response delay and constant brake/continuing forward load during deceleration. Fd/Td act after brake engagement; acceleration during the delay is not modelled. Refer all rotary inertia and torque to the brake shaft. Brake effort no greater than continuing load cannot stop the motion. Variable friction, speed-dependent braking, jerk, elasticity, slip, thermal fade and electrical regeneration are excluded. Mean absorbed power does not establish peak capacity or temperature. This is not a certified machinery safeguarding-distance calculation.

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目的から順に確認する設計ガイド

図で条件を整理してから計算し、最後に実際の部品仕様を確認します。

Purpose-based design guides

Understand conditions with diagrams, calculate, then verify actual specifications.