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ENGINEERING CALCULATORS

Counterweight against tipping calculator

Engineering calculators (Beta)

Estimate additional mass at a stated location against a rightward lateral force on a level floor.

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

mb=max(0,[kFh−mg(B/2−x)]/[g(B/2−xb)]).

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.

この計算で求められること

水平床上の右向き横荷重に対し、指定位置に追加する質量の目安を求めます。

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

  • 元の対象の質量 m (kg / g / mg)
  • 接地幅 B (mm / cm / m)
  • 元の重心位置 x(中央基準) (mm / cm / m)
  • 右向きの横荷重 F (N / kN / mN)
  • 横荷重の作用高さ h (mm / cm / m)
  • 追加質量の位置 xb(中央基準) (mm / cm / m)
  • 横荷重モーメントに掛ける比較倍率 k (—)

得られる結果

  • 指定位置に必要な追加質量 (kg)
  • 元の質量による復元モーメント (N·m)
  • 倍率を掛けた転倒モーメント (N·m)
  • 追加後の合成重心 x (mm)

計算式の概要

mb=max(0,[kFh−mg(B/2−x)]/[g(B/2−xb)]).

床は水平、右側接地端まわりの静的な比較です。元と追加質量の重心は接地範囲内に置きます。kは使用条件から選ぶ倍率で、法令や規格の安全率を自動で選ぶものではありません。滑り、逆向き荷重、床・脚・ウエイト固定部の強度、追加質量の落下防止は別に確認します。

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。

関連する計算

What this calculator does

Estimate additional mass at a stated location against a rightward lateral force on a level floor.

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

  • Original mass m (kg / g / mg)
  • Footprint width B (mm / cm / m)
  • Original CG x from footprint centre (mm / cm / m)
  • Rightward lateral force F (N / kN / mN)
  • Force height h (mm / cm / m)
  • Added mass position xb from centre (mm / cm / m)
  • Comparison multiplier k on overturning moment (—)

Calculated results

  • Required added mass at the stated position (kg)
  • Original restoring moment (N·m)
  • Factored overturning moment (N·m)
  • Combined CG x after addition (mm)

Formula overview

mb=max(0,[kFh−mg(B/2−x)]/[g(B/2−xb)]).

Level floor, static comparison about the right contact edge. Both CG positions must lie within the footprint. k is user selected, not an automatically chosen code safety factor. Sliding, reversed loads, floor/leg/attachment strength and retention of the added mass require separate checks.

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

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.