ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Calculate contact pressure, press force and transmission for a solid shaft and thick hub.
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.
Ch=[(D²+d²)/(D²−d²)+νh]/Eh; Cs=(1−νs)/Es; p=Δd/[d(Ch+Cs)]; Fi=μi pπdL; F0=μpπdL; T0=F0 d/2; U=√[(F/F0)²+(T/T0)²]; ΔTh=(Δd+c)/(αh d).
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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中実軸と厚肉ハブの弾性モデルで圧力・圧入力・伝達力を求めます。
選択した形状・計算方法により、使う項目は変わります。実際の計算は上の図と入力欄で行えます。
Ch=[(D²+d²)/(D²−d²)+νh]/Eh; Cs=(1−νs)/Es; p=Δd/[d(Ch+Cs)]; Fi=μi pπdL; F0=μpπdL; T0=F0 d/2; U=√[(F/F0)²+(T/T0)²]; ΔTh=(Δd+c)/(αh d).
線形弾性・等方材・中実軸・自由端（軸応力0）の厚肉円筒Lamé解。微小な直径差を基準直径dで線形化します。摩擦は一様で、軸力とトルクは同時作用として合成します。粗さのつぶれ、端部、塑性、温度依存、接着、キー、運転中の熱変化、軸力・トルク自体の追加応力は含みません。温度上昇は軸が基準温度のまま、ハブだけ均一加熱する理想値で、使用温度の許可値ではありません。
現在選択中の方法には、操作欄の「計算式・適用条件」を使ってください。参考計算であり、設計全体の安全性を保証するものではありません。
Calculate contact pressure, press force and transmission for a solid shaft and thick hub.
The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.
Ch=[(D²+d²)/(D²−d²)+νh]/Eh; Cs=(1−νs)/Es; p=Δd/[d(Ch+Cs)]; Fi=μi pπdL; F0=μpπdL; T0=F0 d/2; U=√[(F/F0)²+(T/T0)²]; ΔTh=(Δd+c)/(αh d).
Linear isotropic elastic Lamé solution, solid shaft and axially free ends (zero axial stress). Small diametral interference is linearized at d. Uniform friction; axial load and torque are combined. Roughness flattening, ends, plasticity, temperature-dependent properties, adhesives, keys, operating thermal changes and additional service-load stresses are excluded. Temperature rise assumes only the hub is uniformly heated while the shaft stays at reference temperature; it is not an approved operating temperature.
The displayed formula and conditions in the working panel apply to the currently selected model. Reference calculation only; it does not certify a complete design.
