Core Links Engineering CalculatorsHPに戻るCompany home

ENGINEERING CALCULATORS

Lever & moment balance calculator

Engineering calculators (Beta)

Find effort force from load and the moment arms about a pivot.

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

Feffort a = Fload b, MA = a/b, R = Fload + Feffort

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

支点からの腕の長さと荷重から、てこを押す力を求めます。

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

  • 力を加える側の腕 a (mm / cm / m)
  • 荷側の腕 b (mm / cm / m)
  • 荷側の力 Fload (N / kN / mN)

得られる結果

  • 力を加える側に必要な力 (N)
  • 理想の力の倍率 a/b (—)
  • 支点まわりの片側モーメント (N·m)
  • 図の向きでの支点反力(上向き) (N)

計算式の概要

Feffort a = Fload b, MA = a/b, R = Fload + Feffort

剛体・静止・支点をはさんで両端に下向きの力が作用する図のモデルです。腕a・bは支点から各作用線までの垂直距離です。自重・摩擦・部材の曲げ・支点の強度・変形は含みません。

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 effort force from load and the moment arms about a pivot.

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

  • Effort-side moment arm a (mm / cm / m)
  • Load-side moment arm b (mm / cm / m)
  • Load-side force Fload (N / kN / mN)

Calculated results

  • Required effort force (N)
  • Ideal force advantage a/b (—)
  • Moment magnitude on each side (N·m)
  • Upward pivot reaction for the illustrated forces (N)

Formula overview

Feffort a = Fload b, MA = a/b, R = Fload + Feffort

Rigid static lever with downward forces on opposite sides of the pivot as illustrated. a and b are perpendicular distances from pivot to each force line. Self-weight, friction, member bending, pivot strength and deformation 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

Continue checking

Four-bar position, speed ratio and drive torque calculator
Lid / gas-spring operating force and mounting geometry calculator →

数値の感覚を、図と動きで確かめる

説明用の別モデルです。適用条件を確認してください。数値は自動転記しません。

See the idea in diagrams and motion

A separate explanatory model. Check its assumptions; values are not transferred.

力からてこのつり合いへ
  1. 1. 単位をそろえる力の単位換算 →
  2. 2. 必要な条件で計算するてこ・モーメント現在のページ
  3. 3. 動き・違いを図で見る質量と持ち上げる力 →

力の大きさに加え、支点からの距離と力の方向を確認します。

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。