ENGINEERING CALCULATORS
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Engineering calculators (Beta)
Calculate combinations, success/event counts and normal interval probabilities.
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.
Binomial P(k)=nCk p^k(1−p)^(n−k); Poisson P(k)=e^(−λ)λ^k/k!; normal interval=Φ((b−μ)/σ)−Φ((a−μ)/σ)
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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組合せ、成功回数、発生回数、正規分布の範囲確率を計算します。
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。
Binomial P(k)=nCk p^k(1−p)^(n−k); Poisson P(k)=e^(−λ)λ^k/k!; normal interval=Φ((b−μ)/σ)−Φ((a−μ)/σ)
二項分布は独立・同じ成功確率。Poissonは一定発生率の独立事象。n≤1000、k≤1000、λ≤700。大きな組合せ・順列は浮動小数点近似です。正規分布は連続変数で、範囲確率は数値近似です。極端な裾では丸め・桁落ちが起きます。
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 combinations, success/event counts and normal interval probabilities.
The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.
Binomial P(k)=nCk p^k(1−p)^(n−k); Poisson P(k)=e^(−λ)λ^k/k!; normal interval=Φ((b−μ)/σ)−Φ((a−μ)/σ)
Binomial assumes independent equal-probability trials; Poisson assumes independent events at a constant rate. n ≤ 1000, k ≤ 1000, λ ≤ 700. Large combinatorial counts use floating-point approximation. Normal interval probability is a numerical approximation for continuous values; extreme tails are affected by rounding/cancellation.
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.
