ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Calculate contact force for the load and free rollers, then add driven-roller inertia and gearing to estimate motor-shaft torque.
Click the grid to add ordered vertices. Edit coordinates in mm; separate holes with a blank line. The last vertex closes to the first automatically.
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.
Reference calculation only. Results do not certify suitability for an actual design or its safety.
Inputs: select a blue symbol to edit Results: red-orange values and lines
3D shows an illustrative extrusion. Its display length does not enter the section calculations. Edit dimensions in 2D.
r=D/2; R=measured or cr·mg cosθ; Fc=ma+mg sinθ+R+Jf a/r²; Tr=Fc r+Jd a/r; ωr=v/r; ωm=iωr; Tm=Tr/(iη) if Tr≥0, otherwise Tr/i; Ftraction=μqmg cosθ.
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.
ReferenceEquations 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.
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搬送物と遊転ローラーの加速に必要な接触力を求め、駆動ローラー自体の慣性と減速比を加えてモーター軸のトルクを確認します。
r=D/2; R=measured or cr·mg cosθ; Fc=ma+mg sinθ+R+Jf a/r²; Tr=Fc r+Jd a/r; ωr=v/r; ωm=iωr; Tm=Tr/(iη) if Tr≥0, otherwise Tr/i; Ftraction=μqmg cosθ.
直線・同一周速・滑りなしで正方向へ走行している瞬間のモデルです。v≥0、|θ|≤60°、0<η≤1、i>0。Rは搬送物を一定速で動かす負荷側の抵抗で、重力・加速・駆動系効率との二重計上を避けます。crは無次元の等価係数で、長さ単位を持つ転がり抵抗係数とは異なります。異径や異速の回転体は、J換算=ΣJj(ωj/ωr)²として遊転群と駆動群を分けて指定します。Jfの加速は荷物との接触を介し、Jdの加速は駆動系から直接行う仮定です。モーター自身の回転慣性、チェーンやベルト等の別の移動質量は含めていません。v=0は走行モデルの極限で、始動摩擦や静止保持能力を判定しません。制動トルクは逆駆動損失を見込まない換算で、回生・抵抗器・ブレーキの容量は別です。すべり比較は入力した駆動側荷重割合qによる合計値で、各ローラーの偏荷重・局所接触、遊転側のすべり、接触圧は別に確認します。入力トルク上限は実際の速度・運転方向・時間に合う値とし、連続運転・RMS・熱・寿命・強度の合格を意味しません。
Calculate contact force for the load and free rollers, then add driven-roller inertia and gearing to estimate motor-shaft torque.
r=D/2; R=measured or cr·mg cosθ; Fc=ma+mg sinθ+R+Jf a/r²; Tr=Fc r+Jd a/r; ωr=v/r; ωm=iωr; Tm=Tr/(iη) if Tr≥0, otherwise Tr/i; Ftraction=μqmg cosθ.
Instantaneous straight positive travel with equal surface speeds and no slip. Require v≥0, |θ|≤60°, 0<η≤1 and i>0. R is load-side constant-speed resistance; avoid double counting gravity, acceleration or drive efficiency. cr is dimensionless, not a length-valued rolling-resistance coefficient. Refer different-speed inertias by ΣJj(ωj/ωr)², separating free and driven groups. Free rollers accelerate through load contact; driven rollers accelerate directly from the drive. Motor rotor inertia and other translating chain/belt masses are excluded. v=0 is a running-model limit, not breakaway/static-holding verification. Braking uses lossless reverse conversion, excluding regenerative/resistor/brake capacity. Traction is an aggregate check based on entered driven normal-load fraction q; local load sharing, free-roller slip and contact pressure require separate checks. Establish the torque limit for actual speed, direction and duration. This does not certify continuous/RMS duty, thermal behaviour, life or strength.
