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ENGINEERING CALCULATORS

Shape volume & mass calculator

Engineering calculators (Beta)

Find volume, mass, weight and centroidal inertia from shape and density.

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

m = ρV; W = mg; box Jx = m(H²+L²)/12; circular axis Jz = m(D²+d²)/8

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

形状と密度から質量・重さ・重心軸慣性を求めます。

入力・結果・適用条件を確認する

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。

主な入力

  • 形状 (—)
  • 幅 B (mm / cm / m)
  • 高さ H (mm / cm / m)
  • 長さ L（円柱軸はz） (mm / cm / m)
  • 外径・下径 D (mm / cm / m)
  • 内径・上径 d (mm / cm / m)
  • 肉厚 t (mm / cm / m)
  • 密度 ρ (kg/m³ / g/cm³ / g/L)

得られる結果

  • 体積 (m³)
  • 質量 (kg)
  • 標準重力での重さ (N)
  • 重心x軸の質量慣性 (kg·m²)
  • 重心y軸の質量慣性 (kg·m²)
  • 重心z軸の質量慣性 (kg·m²)

計算式の概要

m = ρV; W = mg; box Jx = m(H²+L²)/12; circular axis Jz = m(D²+d²)/8

均質な理想形状です。円錐台は下径D≥上径d、長さL。円錐台の慣性は重心を通る軸の値です。穴・切欠き・加工代・接合部は形状に含めていません。

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。

関連する計算

What this calculator does

Find volume, mass, weight and centroidal inertia from shape and density.

Inputs, outputs and applicability

The selected model determines which of these inputs and outputs apply. Use the working diagram and input panel above to calculate.

Inputs

  • Shape (—)
  • Width B (mm / cm / m)
  • Height H (mm / cm / m)
  • Length L (cylinder axis z) (mm / cm / m)
  • Outside / base diameter D (mm / cm / m)
  • Inside / top diameter d (mm / cm / m)
  • Wall thickness t (mm / cm / m)
  • Density ρ (kg/m³ / g/cm³ / g/L)

Calculated results

  • Volume (m³)
  • Mass (kg)
  • Weight at standard gravity (N)
  • Centroidal inertia Jx (kg·m²)
  • Centroidal inertia Jy (kg·m²)
  • Centroidal inertia Jz (kg·m²)

Formula overview

m = ρV; W = mg; box Jx = m(H²+L²)/12; circular axis Jz = m(D²+d²)/8

Uniform ideal shapes. A frustum requires base D ≥ top d and height L; inertia uses axes through its centre of mass. Other holes, cutouts, machining allowance and joints are excluded.

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.

Related tools

入力する単位を確認・換算する

Check and convert input units

体積と材料から重さへ
  1. 1. 単位をそろえる質量の単位換算 →
  2. 2. 必要な条件で計算する形状から体積・質量現在のページ
  3. 3. 動き・違いを図で見る質量と持ち上げる力 →

形状寸法と材料の密度を指定します。図では重力による力との違いを確認します。

各ツールは別の条件で開きます。数値は自動転記されません。